TSTP Solution File: LCL813-1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL813-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 11:40:10 EDT 2022
% Result : Unknown 11.54s 11.80s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL813-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.14/0.34 % Computer : n008.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 3 18:29:08 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Running in mono-core mode
% 0.39/0.60 % Orienting using strategy Equiv(ClausalAll)
% 0.39/0.60 % Orientation found
% 0.39/0.60 % 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_a8b1ab.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_0623f6.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_753a09 | grep -v "SZS"
% 0.39/0.63
% 0.39/0.63 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.39/0.63
% 0.39/0.63 %
% 0.39/0.63 % ------ iProver source info
% 0.39/0.63
% 0.39/0.63 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.39/0.63 % git: non_committed_changes: true
% 0.39/0.63 % git: last_make_outside_of_git: true
% 0.39/0.63
% 0.39/0.63 %
% 0.39/0.63 % ------ Input Options
% 0.39/0.63
% 0.39/0.63 % --out_options all
% 0.39/0.63 % --tptp_safe_out true
% 0.39/0.63 % --problem_path ""
% 0.39/0.63 % --include_path ""
% 0.39/0.63 % --clausifier .//eprover
% 0.39/0.63 % --clausifier_options --tstp-format
% 0.39/0.63 % --stdin false
% 0.39/0.63 % --dbg_backtrace false
% 0.39/0.63 % --dbg_dump_prop_clauses false
% 0.39/0.63 % --dbg_dump_prop_clauses_file -
% 0.39/0.63 % --dbg_out_stat false
% 0.39/0.63
% 0.39/0.63 % ------ General Options
% 0.39/0.63
% 0.39/0.63 % --fof false
% 0.39/0.63 % --time_out_real 150.
% 0.39/0.63 % --time_out_prep_mult 0.2
% 0.39/0.63 % --time_out_virtual -1.
% 0.39/0.63 % --schedule none
% 0.39/0.63 % --ground_splitting input
% 0.39/0.63 % --splitting_nvd 16
% 0.39/0.63 % --non_eq_to_eq false
% 0.39/0.63 % --prep_gs_sim true
% 0.39/0.63 % --prep_unflatten false
% 0.39/0.63 % --prep_res_sim true
% 0.39/0.63 % --prep_upred true
% 0.39/0.63 % --res_sim_input true
% 0.39/0.63 % --clause_weak_htbl true
% 0.39/0.63 % --gc_record_bc_elim false
% 0.39/0.63 % --symbol_type_check false
% 0.39/0.63 % --clausify_out false
% 0.39/0.63 % --large_theory_mode false
% 0.39/0.63 % --prep_sem_filter none
% 0.39/0.63 % --prep_sem_filter_out false
% 0.39/0.63 % --preprocessed_out false
% 0.39/0.63 % --sub_typing false
% 0.39/0.63 % --brand_transform false
% 0.39/0.63 % --pure_diseq_elim true
% 0.39/0.63 % --min_unsat_core false
% 0.39/0.63 % --pred_elim true
% 0.39/0.63 % --add_important_lit false
% 0.39/0.63 % --soft_assumptions false
% 0.39/0.63 % --reset_solvers false
% 0.39/0.63 % --bc_imp_inh []
% 0.39/0.63 % --conj_cone_tolerance 1.5
% 0.39/0.63 % --prolific_symb_bound 500
% 0.39/0.63 % --lt_threshold 2000
% 0.39/0.63
% 0.39/0.63 % ------ SAT Options
% 0.39/0.63
% 0.39/0.63 % --sat_mode false
% 0.39/0.63 % --sat_fm_restart_options ""
% 0.39/0.63 % --sat_gr_def false
% 0.39/0.63 % --sat_epr_types true
% 0.39/0.63 % --sat_non_cyclic_types false
% 0.39/0.63 % --sat_finite_models false
% 0.39/0.63 % --sat_fm_lemmas false
% 0.39/0.63 % --sat_fm_prep false
% 0.39/0.63 % --sat_fm_uc_incr true
% 0.39/0.63 % --sat_out_model small
% 0.39/0.63 % --sat_out_clauses false
% 0.39/0.63
% 0.39/0.63 % ------ QBF Options
% 0.39/0.63
% 0.39/0.63 % --qbf_mode false
% 0.39/0.63 % --qbf_elim_univ true
% 0.39/0.63 % --qbf_sk_in true
% 0.39/0.63 % --qbf_pred_elim true
% 0.39/0.63 % --qbf_split 32
% 0.39/0.63
% 0.39/0.63 % ------ BMC1 Options
% 0.39/0.63
% 0.39/0.63 % --bmc1_incremental false
% 0.39/0.63 % --bmc1_axioms reachable_all
% 0.39/0.63 % --bmc1_min_bound 0
% 0.39/0.63 % --bmc1_max_bound -1
% 0.39/0.63 % --bmc1_max_bound_default -1
% 0.39/0.63 % --bmc1_symbol_reachability true
% 0.39/0.63 % --bmc1_property_lemmas false
% 0.39/0.63 % --bmc1_k_induction false
% 0.39/0.63 % --bmc1_non_equiv_states false
% 0.39/0.63 % --bmc1_deadlock false
% 0.39/0.63 % --bmc1_ucm false
% 0.39/0.63 % --bmc1_add_unsat_core none
% 0.39/0.63 % --bmc1_unsat_core_children false
% 0.39/0.63 % --bmc1_unsat_core_extrapolate_axioms false
% 0.39/0.63 % --bmc1_out_stat full
% 0.39/0.63 % --bmc1_ground_init false
% 0.39/0.63 % --bmc1_pre_inst_next_state false
% 0.39/0.63 % --bmc1_pre_inst_state false
% 0.39/0.63 % --bmc1_pre_inst_reach_state false
% 0.39/0.63 % --bmc1_out_unsat_core false
% 0.39/0.63 % --bmc1_aig_witness_out false
% 0.39/0.63 % --bmc1_verbose false
% 0.39/0.63 % --bmc1_dump_clauses_tptp false
% 5.78/6.04 % --bmc1_dump_unsat_core_tptp false
% 5.78/6.04 % --bmc1_dump_file -
% 5.78/6.04 % --bmc1_ucm_expand_uc_limit 128
% 5.78/6.04 % --bmc1_ucm_n_expand_iterations 6
% 5.78/6.04 % --bmc1_ucm_extend_mode 1
% 5.78/6.04 % --bmc1_ucm_init_mode 2
% 5.78/6.04 % --bmc1_ucm_cone_mode none
% 5.78/6.04 % --bmc1_ucm_reduced_relation_type 0
% 5.78/6.04 % --bmc1_ucm_relax_model 4
% 5.78/6.04 % --bmc1_ucm_full_tr_after_sat true
% 5.78/6.04 % --bmc1_ucm_expand_neg_assumptions false
% 5.78/6.04 % --bmc1_ucm_layered_model none
% 5.78/6.04 % --bmc1_ucm_max_lemma_size 10
% 5.78/6.04
% 5.78/6.04 % ------ AIG Options
% 5.78/6.04
% 5.78/6.04 % --aig_mode false
% 5.78/6.04
% 5.78/6.04 % ------ Instantiation Options
% 5.78/6.04
% 5.78/6.04 % --instantiation_flag true
% 5.78/6.04 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 5.78/6.04 % --inst_solver_per_active 750
% 5.78/6.04 % --inst_solver_calls_frac 0.5
% 5.78/6.04 % --inst_passive_queue_type priority_queues
% 5.78/6.04 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 5.78/6.04 % --inst_passive_queues_freq [25;2]
% 5.78/6.04 % --inst_dismatching true
% 5.78/6.04 % --inst_eager_unprocessed_to_passive true
% 5.78/6.04 % --inst_prop_sim_given true
% 5.78/6.04 % --inst_prop_sim_new false
% 5.78/6.04 % --inst_orphan_elimination true
% 5.78/6.04 % --inst_learning_loop_flag true
% 5.78/6.04 % --inst_learning_start 3000
% 5.78/6.04 % --inst_learning_factor 2
% 5.78/6.04 % --inst_start_prop_sim_after_learn 3
% 5.78/6.04 % --inst_sel_renew solver
% 5.78/6.04 % --inst_lit_activity_flag true
% 5.78/6.04 % --inst_out_proof true
% 5.78/6.04
% 5.78/6.04 % ------ Resolution Options
% 5.78/6.04
% 5.78/6.04 % --resolution_flag true
% 5.78/6.04 % --res_lit_sel kbo_max
% 5.78/6.04 % --res_to_prop_solver none
% 5.78/6.04 % --res_prop_simpl_new false
% 5.78/6.04 % --res_prop_simpl_given false
% 5.78/6.04 % --res_passive_queue_type priority_queues
% 5.78/6.04 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 5.78/6.04 % --res_passive_queues_freq [15;5]
% 5.78/6.04 % --res_forward_subs full
% 5.78/6.04 % --res_backward_subs full
% 5.78/6.04 % --res_forward_subs_resolution true
% 5.78/6.04 % --res_backward_subs_resolution true
% 5.78/6.04 % --res_orphan_elimination false
% 5.78/6.04 % --res_time_limit 1000.
% 5.78/6.04 % --res_out_proof true
% 5.78/6.04 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_a8b1ab.s
% 5.78/6.04 % --modulo true
% 5.78/6.04
% 5.78/6.04 % ------ Combination Options
% 5.78/6.04
% 5.78/6.04 % --comb_res_mult 1000
% 5.78/6.04 % --comb_inst_mult 300
% 5.78/6.04 % ------
% 5.78/6.04
% 5.78/6.04 % ------ Parsing...% successful
% 5.78/6.04
% 5.78/6.04 % ------ 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 %
% 5.78/6.04
% 5.78/6.04 % ------ Proving...
% 5.78/6.04 % ------ Problem Properties
% 5.78/6.04
% 5.78/6.04 %
% 5.78/6.04 % EPR false
% 5.78/6.04 % Horn false
% 5.78/6.04 % Has equality true
% 5.78/6.04
% 5.78/6.04 % % ------ Input Options Time Limit: Unbounded
% 5.78/6.04
% 5.78/6.04
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% 5.78/6.04 % % ------ Current options:
% 5.78/6.04
% 5.78/6.04 % ------ Input Options
% 5.78/6.04
% 5.78/6.04 % --out_options all
% 5.78/6.04 % --tptp_safe_out true
% 5.78/6.04 % --problem_path ""
% 5.78/6.04 % --include_path ""
% 5.78/6.04 % --clausifier .//eprover
% 5.78/6.04 % --clausifier_options --tstp-format
% 5.78/6.04 % --stdin false
% 5.78/6.04 % --dbg_backtrace false
% 5.78/6.04 % --dbg_dump_prop_clauses false
% 5.78/6.04 % --dbg_dump_prop_clauses_file -
% 5.78/6.04 % --dbg_out_stat false
% 5.78/6.04
% 5.78/6.04 % ------ General Options
% 5.78/6.04
% 5.78/6.04 % --fof false
% 5.78/6.04 % --time_out_real 150.
% 5.78/6.04 % --time_out_prep_mult 0.2
% 5.78/6.04 % --time_out_virtual -1.
% 5.78/6.04 % --schedule none
% 5.78/6.04 % --ground_splitting input
% 5.78/6.04 % --splitting_nvd 16
% 5.78/6.04 % --non_eq_to_eq false
% 5.78/6.04 % --prep_gs_sim true
% 5.78/6.04 % --prep_unflatten false
% 5.78/6.04 % --prep_res_sim true
% 5.78/6.04 % --prep_upred true
% 5.78/6.04 % --res_sim_input true
% 5.78/6.04 % --clause_weak_htbl true
% 5.78/6.04 % --gc_record_bc_elim false
% 5.78/6.04 % --symbol_type_check false
% 5.78/6.04 % --clausify_out false
% 5.78/6.04 % --large_theory_mode false
% 5.78/6.04 % --prep_sem_filter none
% 5.78/6.04 % --prep_sem_filter_out false
% 5.78/6.04 % --preprocessed_out false
% 5.78/6.04 % --sub_typing false
% 5.78/6.04 % --brand_transform false
% 5.78/6.04 % --pure_diseq_elim true
% 5.78/6.04 % --min_unsat_core false
% 5.78/6.04 % --pred_elim true
% 5.78/6.04 % --add_important_lit false
% 5.78/6.04 % --soft_assumptions false
% 5.78/6.04 % --reset_solvers false
% 5.78/6.04 % --bc_imp_inh []
% 5.78/6.04 % --conj_cone_tolerance 1.5
% 5.78/6.04 % --prolific_symb_bound 500
% 5.78/6.04 % --lt_threshold 2000
% 5.78/6.04
% 5.78/6.04 % ------ SAT Options
% 5.78/6.04
% 5.78/6.04 % --sat_mode false
% 5.78/6.04 % --sat_fm_restart_options ""
% 5.78/6.04 % --sat_gr_def false
% 5.78/6.04 % --sat_epr_types true
% 5.78/6.04 % --sat_non_cyclic_types false
% 5.78/6.04 % --sat_finite_models false
% 5.78/6.04 % --sat_fm_lemmas false
% 5.78/6.04 % --sat_fm_prep false
% 5.78/6.04 % --sat_fm_uc_incr true
% 5.78/6.04 % --sat_out_model small
% 5.78/6.04 % --sat_out_clauses false
% 5.78/6.04
% 5.78/6.04 % ------ QBF Options
% 5.78/6.04
% 5.78/6.04 % --qbf_mode false
% 5.78/6.04 % --qbf_elim_univ true
% 5.78/6.04 % --qbf_sk_in true
% 5.78/6.04 % --qbf_pred_elim true
% 5.78/6.04 % --qbf_split 32
% 5.78/6.04
% 5.78/6.04 % ------ BMC1 Options
% 5.78/6.04
% 5.78/6.04 % --bmc1_incremental false
% 5.78/6.04 % --bmc1_axioms reachable_all
% 5.78/6.04 % --bmc1_min_bound 0
% 5.78/6.04 % --bmc1_max_bound -1
% 5.78/6.04 % --bmc1_max_bound_default -1
% 5.78/6.04 % --bmc1_symbol_reachability true
% 5.78/6.04 % --bmc1_property_lemmas false
% 5.78/6.04 % --bmc1_k_induction false
% 5.78/6.04 % --bmc1_non_equiv_states false
% 5.78/6.04 % --bmc1_deadlock false
% 5.78/6.04 % --bmc1_ucm false
% 5.78/6.04 % --bmc1_add_unsat_core none
% 5.78/6.04 % --bmc1_unsat_core_children false
% 5.78/6.04 % --bmc1_unsat_core_extrapolate_axioms false
% 5.78/6.04 % --bmc1_out_stat full
% 5.78/6.04 % --bmc1_ground_init false
% 5.78/6.04 % --bmc1_pre_inst_next_state false
% 5.78/6.04 % --bmc1_pre_inst_state false
% 5.78/6.04 % --bmc1_pre_inst_reach_state false
% 5.78/6.04 % --bmc1_out_unsat_core false
% 5.78/6.04 % --bmc1_aig_witness_out false
% 5.78/6.04 % --bmc1_verbose false
% 5.78/6.04 % --bmc1_dump_clauses_tptp false
% 5.78/6.04 % --bmc1_dump_unsat_core_tptp false
% 5.78/6.04 % --bmc1_dump_file -
% 5.78/6.04 % --bmc1_ucm_expand_uc_limit 128
% 5.78/6.04 % --bmc1_ucm_n_expand_iterations 6
% 5.78/6.04 % --bmc1_ucm_extend_mode 1
% 5.78/6.04 % --bmc1_ucm_init_mode 2
% 5.78/6.04 % --bmc1_ucm_cone_mode none
% 5.78/6.04 % --bmc1_ucm_reduced_relation_type 0
% 5.78/6.04 % --bmc1_ucm_relax_model 4
% 5.78/6.04 % --bmc1_ucm_full_tr_after_sat true
% 5.78/6.04 % --bmc1_ucm_expand_neg_assumptions false
% 5.78/6.04 % --bmc1_ucm_layered_model none
% 5.78/6.04 % --bmc1_ucm_max_lemma_size 10
% 5.78/6.04
% 5.78/6.04 % ------ AIG Options
% 5.78/6.04
% 5.78/6.04 % --aig_mode false
% 5.78/6.04
% 5.78/6.04 % ------ Instantiation Options
% 5.78/6.04
% 5.78/6.04 % --instantiation_flag true
% 5.78/6.04 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 5.78/6.04 % --inst_solver_per_active 750
% 5.78/6.04 % --inst_solver_calls_frac 0.5
% 5.78/6.04 % --inst_passive_queue_type priority_queues
% 5.78/6.04 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 5.78/6.04 % --inst_passive_queues_freq [25;2]
% 5.78/6.04 % --inst_dismatching true
% 5.78/6.04 % --inst_eager_unprocessed_to_passive true
% 5.78/6.04 % --inst_prop_sim_given true
% 5.78/6.04 % --inst_prop_sim_new false
% 5.78/6.04 % --inst_orphan_elimination true
% 5.78/6.04 % --inst_learning_loop_flag true
% 5.78/6.04 % --inst_learning_start 3000
% 5.78/6.04 % --inst_learning_factor 2
% 5.78/6.04 % --inst_start_prop_sim_after_learn 3
% 5.78/6.04 % --inst_sel_renew solver
% 5.78/6.04 % --inst_lit_activity_flag true
% 5.78/6.04 % --inst_out_proof true
% 5.78/6.04
% 5.78/6.04 % ------ Resolution Options
% 5.78/6.04
% 5.78/6.04 % --resolution_flag true
% 5.78/6.04 % --res_lit_sel kbo_max
% 5.78/6.04 % --res_to_prop_solver none
% 5.78/6.04 % --res_prop_simpl_new false
% 5.78/6.04 % --res_prop_simpl_given false
% 5.78/6.04 % --res_passive_queue_type priority_queues
% 5.78/6.04 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 5.78/6.04 % --res_passive_queues_freq [15;5]
% 5.78/6.04 % --res_forward_subs full
% 5.78/6.04 % --res_backward_subs full
% 5.78/6.04 % --res_forward_subs_resolution true
% 5.78/6.04 % --res_backward_subs_resolution true
% 5.78/6.04 % --res_orphan_elimination false
% 5.78/6.04 % --res_time_limit 1000.
% 5.78/6.04 % --res_out_proof true
% 5.78/6.04 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_a8b1ab.s
% 5.78/6.04 % --modulo true
% 5.78/6.04
% 5.78/6.04 % ------ Combination Options
% 5.78/6.04
% 5.78/6.04 % --comb_res_mult 1000
% 5.78/6.04 % --comb_inst_mult 300
% 5.78/6.04 % ------
% 5.78/6.04
% 5.78/6.04
% 5.78/6.04
% 5.78/6.04 % ------ Proving...
% 5.78/6.04 % warning: shown sat in sat incomplete mode
% 5.78/6.04 %
% 5.78/6.04
% 5.78/6.04
% 5.78/6.04
% 5.78/6.04
% 5.78/6.04 cnf(c_2017,plain,
% 5.78/6.04 ( 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))) ),
% 5.78/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1066_0) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8913,plain,
% 5.78/6.04 ( 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))) ),
% 5.78/6.04 inference(copy,[status(esa)],[c_2017]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8914,plain,
% 5.78/6.04 ( 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))) ),
% 5.78/6.04 inference(rewriting,[status(thm)],[c_8913]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_2016,plain,
% 5.78/6.04 ( 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)) ),
% 5.78/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1067_0) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8911,plain,
% 5.78/6.04 ( 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)) ),
% 5.78/6.04 inference(copy,[status(esa)],[c_2016]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8912,plain,
% 5.78/6.04 ( 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)) ),
% 5.78/6.04 inference(rewriting,[status(thm)],[c_8911]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_2014,plain,
% 5.78/6.04 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 5.78/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1069_0) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8907,plain,
% 5.78/6.04 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 5.78/6.04 inference(copy,[status(esa)],[c_2014]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8908,plain,
% 5.78/6.04 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 5.78/6.04 inference(rewriting,[status(thm)],[c_8907]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_1917,plain,
% 5.78/6.04 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.78/6.04 | ~ class_Int_Onumber__ring(X0)
% 5.78/6.04 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3550_0) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8722,plain,
% 5.78/6.04 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.78/6.04 | ~ class_Int_Onumber__ring(X0)
% 5.78/6.04 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.04 inference(copy,[status(esa)],[c_1917]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8723,plain,
% 5.78/6.04 ( ~ class_Int_Onumber__ring(X0)
% 5.78/6.04 | ~ class_Ring__and__Field_Oidom(X0)
% 5.78/6.04 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.04 inference(rewriting,[status(thm)],[c_8722]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_1914,plain,
% 5.78/6.04 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.78/6.04 | ~ class_Int_Onumber__ring(X0)
% 5.78/6.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.78/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3549_0) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8716,plain,
% 5.78/6.04 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.78/6.04 | ~ class_Int_Onumber__ring(X0)
% 5.78/6.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.78/6.04 inference(copy,[status(esa)],[c_1914]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8717,plain,
% 5.78/6.04 ( ~ class_Int_Onumber__ring(X0)
% 5.78/6.04 | ~ class_Ring__and__Field_Oidom(X0)
% 5.78/6.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.78/6.04 inference(rewriting,[status(thm)],[c_8716]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_1900,plain,
% 5.78/6.04 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.78/6.04 | ~ class_Power_Opower(X0)
% 5.78/6.04 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.04 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.78/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3543_0) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8688,plain,
% 5.78/6.04 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.78/6.04 | ~ class_Power_Opower(X0)
% 5.78/6.04 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.04 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.78/6.04 inference(copy,[status(esa)],[c_1900]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8689,plain,
% 5.78/6.04 ( ~ class_Power_Opower(X0)
% 5.78/6.04 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.78/6.04 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.04 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.78/6.04 inference(rewriting,[status(thm)],[c_8688]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_1897,plain,
% 5.78/6.04 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.78/6.04 | ~ class_Power_Opower(X0)
% 5.78/6.04 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3542_0) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8682,plain,
% 5.78/6.04 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.78/6.04 | ~ class_Power_Opower(X0)
% 5.78/6.04 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.04 inference(copy,[status(esa)],[c_1897]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8683,plain,
% 5.78/6.04 ( ~ class_Power_Opower(X0)
% 5.78/6.04 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.78/6.04 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.04 inference(rewriting,[status(thm)],[c_8682]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_1840,plain,
% 5.78/6.04 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.78/6.04 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.78/6.04 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.78/6.04 | ~ class_Power_Opower(X0)
% 5.78/6.04 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.04 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.78/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3519_0) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8568,plain,
% 5.78/6.04 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.78/6.04 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.78/6.04 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.78/6.04 | ~ class_Power_Opower(X0)
% 5.78/6.04 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.04 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.78/6.04 inference(copy,[status(esa)],[c_1840]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8569,plain,
% 5.78/6.04 ( ~ class_Power_Opower(X0)
% 5.78/6.04 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.78/6.04 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.78/6.04 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.78/6.04 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.04 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.78/6.04 inference(rewriting,[status(thm)],[c_8568]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_1807,plain,
% 5.78/6.04 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.78/6.04 | ~ class_Int_Onumber__ring(X0)
% 5.78/6.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 5.78/6.04 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3506_0) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8502,plain,
% 5.78/6.04 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.78/6.04 | ~ class_Int_Onumber__ring(X0)
% 5.78/6.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 5.78/6.04 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.04 inference(copy,[status(esa)],[c_1807]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8503,plain,
% 5.78/6.04 ( ~ class_Int_Onumber__ring(X0)
% 5.78/6.04 | ~ class_Ring__and__Field_Oidom(X0)
% 5.78/6.04 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 5.78/6.04 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.04 inference(rewriting,[status(thm)],[c_8502]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_1794,plain,
% 5.78/6.04 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.78/6.04 | ~ class_Int_Onumber__ring(X0)
% 5.78/6.04 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.04 | X1 = X2 ),
% 5.78/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3501_0) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8476,plain,
% 5.78/6.04 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.78/6.04 | ~ class_Int_Onumber__ring(X0)
% 5.78/6.04 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.04 | X1 = X2 ),
% 5.78/6.04 inference(copy,[status(esa)],[c_1794]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8477,plain,
% 5.78/6.04 ( ~ class_Int_Onumber__ring(X0)
% 5.78/6.04 | ~ class_Ring__and__Field_Oidom(X0)
% 5.78/6.04 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.04 | X1 = X2 ),
% 5.78/6.04 inference(rewriting,[status(thm)],[c_8476]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_1790,plain,
% 5.78/6.04 ( X0 = X1
% 5.78/6.04 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.78/6.04 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.78/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3499_2) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8468,plain,
% 5.78/6.04 ( X0 = X1
% 5.78/6.04 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.78/6.04 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.78/6.04 inference(copy,[status(esa)],[c_1790]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8469,plain,
% 5.78/6.04 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.78/6.04 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 5.78/6.04 | X0 = X1 ),
% 5.78/6.04 inference(rewriting,[status(thm)],[c_8468]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_1714,plain,
% 5.78/6.04 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.04 | X1 = X2
% 5.78/6.04 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.04 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.78/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3471_1) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8316,plain,
% 5.78/6.04 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.04 | X1 = X2
% 5.78/6.04 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.04 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.78/6.04 inference(copy,[status(esa)],[c_1714]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8317,plain,
% 5.78/6.04 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.78/6.04 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.78/6.04 | ~ class_Orderings_Olinorder(X2)
% 5.78/6.04 | X0 = X1 ),
% 5.78/6.04 inference(rewriting,[status(thm)],[c_8316]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_1713,plain,
% 5.78/6.04 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.04 | X1 = X2
% 5.78/6.04 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.78/6.04 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.78/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3471_0) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8314,plain,
% 5.78/6.04 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.04 | X1 = X2
% 5.78/6.04 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.78/6.04 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.78/6.04 inference(copy,[status(esa)],[c_1713]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8315,plain,
% 5.78/6.04 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.78/6.04 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.78/6.04 | ~ class_Orderings_Olinorder(X2)
% 5.78/6.04 | X1 = X0 ),
% 5.78/6.04 inference(rewriting,[status(thm)],[c_8314]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_1711,plain,
% 5.78/6.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.78/6.04 | X1 = X2
% 5.78/6.04 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.04 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.78/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3470_2) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8310,plain,
% 5.78/6.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.78/6.04 | X1 = X2
% 5.78/6.04 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.04 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.78/6.04 inference(copy,[status(esa)],[c_1711]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8311,plain,
% 5.78/6.04 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.78/6.04 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.78/6.04 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 5.78/6.04 | X0 = X1 ),
% 5.78/6.04 inference(rewriting,[status(thm)],[c_8310]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_1709,plain,
% 5.78/6.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.78/6.04 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.04 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.78/6.04 | X2 = X1 ),
% 5.78/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3470_0) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8306,plain,
% 5.78/6.04 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.78/6.04 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.04 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.78/6.04 | X2 = X1 ),
% 5.78/6.04 inference(copy,[status(esa)],[c_1709]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8307,plain,
% 5.78/6.04 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.78/6.04 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.78/6.04 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 5.78/6.04 | X1 = X0 ),
% 5.78/6.04 inference(rewriting,[status(thm)],[c_8306]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_1706,plain,
% 5.78/6.04 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 5.78/6.04 | X0 = X2
% 5.78/6.04 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 5.78/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3469_0) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8300,plain,
% 5.78/6.04 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 5.78/6.04 | X0 = X2
% 5.78/6.04 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 5.78/6.04 inference(copy,[status(esa)],[c_1706]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8301,plain,
% 5.78/6.04 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.78/6.04 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 5.78/6.04 | X1 = X0 ),
% 5.78/6.04 inference(rewriting,[status(thm)],[c_8300]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_1703,plain,
% 5.78/6.04 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 5.78/6.04 | hBOOL(hAPP(X0,X3))
% 5.78/6.04 | hBOOL(hAPP(X0,X1)) ),
% 5.78/6.04 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3468_0) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8294,plain,
% 5.78/6.04 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 5.78/6.04 | hBOOL(hAPP(X0,X3))
% 5.78/6.04 | hBOOL(hAPP(X0,X1)) ),
% 5.78/6.04 inference(copy,[status(esa)],[c_1703]) ).
% 5.78/6.04
% 5.78/6.04 cnf(c_8295,plain,
% 5.78/6.04 ( hBOOL(hAPP(X0,X1))
% 5.78/6.04 | hBOOL(hAPP(X0,X2))
% 5.78/6.04 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_8294]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1700,plain,
% 5.78/6.05 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 5.78/6.05 | hBOOL(hAPP(X0,X3))
% 5.78/6.05 | hBOOL(hAPP(X0,X2)) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3467_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8288,plain,
% 5.78/6.05 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 5.78/6.05 | hBOOL(hAPP(X0,X3))
% 5.78/6.05 | hBOOL(hAPP(X0,X2)) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1700]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8289,plain,
% 5.78/6.05 ( hBOOL(hAPP(X0,X1))
% 5.78/6.05 | hBOOL(hAPP(X0,X2))
% 5.78/6.05 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_8288]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1695,plain,
% 5.78/6.05 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.78/6.05 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.78/6.05 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.78/6.05 | ~ class_Power_Opower(X0)
% 5.78/6.05 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3466_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8278,plain,
% 5.78/6.05 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.78/6.05 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.78/6.05 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.78/6.05 | ~ class_Power_Opower(X0)
% 5.78/6.05 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1695]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8279,plain,
% 5.78/6.05 ( ~ class_Power_Opower(X0)
% 5.78/6.05 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.78/6.05 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.78/6.05 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.78/6.05 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_8278]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1689,plain,
% 5.78/6.05 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.78/6.05 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.78/6.05 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.78/6.05 | ~ class_Power_Opower(X0)
% 5.78/6.05 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3465_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8266,plain,
% 5.78/6.05 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.78/6.05 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.78/6.05 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.78/6.05 | ~ class_Power_Opower(X0)
% 5.78/6.05 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1689]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8267,plain,
% 5.78/6.05 ( ~ class_Power_Opower(X0)
% 5.78/6.05 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.78/6.05 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.78/6.05 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.78/6.05 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_8266]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1617,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.78/6.05 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 5.78/6.05 | c_Suc(X0) = X1 ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3434_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8122,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.78/6.05 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 5.78/6.05 | c_Suc(X0) = X1 ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1617]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8123,plain,
% 5.78/6.05 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.78/6.05 | c_Suc(X0) = X1 ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_8122]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1605,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_Orderings_Oord__class_Omin(X2,X1,X0) = X1 ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3430_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8098,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_Orderings_Oord__class_Omin(X2,X1,X0) = X1 ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1605]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8099,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | ~ class_Orderings_Olinorder(X2)
% 5.78/6.05 | c_Orderings_Oord__class_Omin(X1,X0,X2) = X0 ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_8098]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1602,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_Orderings_Oord__class_Omin(X1,X2,X0) = X1 ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3429_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8092,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_Orderings_Oord__class_Omin(X1,X2,X0) = X1 ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1602]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8093,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | ~ class_Orderings_Olinorder(X2)
% 5.78/6.05 | c_Orderings_Oord__class_Omin(X0,X1,X2) = X0 ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_8092]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1599,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_Orderings_Oord__class_Omax(X2,X1,X0) = X2 ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3428_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8086,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_Orderings_Oord__class_Omax(X2,X1,X0) = X2 ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1599]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8087,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | ~ class_Orderings_Olinorder(X2)
% 5.78/6.05 | c_Orderings_Oord__class_Omax(X1,X0,X2) = X1 ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_8086]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1596,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_Orderings_Oord__class_Omax(X1,X2,X0) = X2 ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3427_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8080,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_Orderings_Oord__class_Omax(X1,X2,X0) = X2 ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1596]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8081,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | ~ class_Orderings_Olinorder(X2)
% 5.78/6.05 | c_Orderings_Oord__class_Omax(X0,X1,X2) = X1 ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_8080]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1587,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | c_Orderings_Oord__class_Omin(X1,X2,X0) != X1
% 5.78/6.05 | c_lessequals(X1,X2,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3423_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8062,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | c_Orderings_Oord__class_Omin(X1,X2,X0) != X1
% 5.78/6.05 | c_lessequals(X1,X2,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1587]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8063,plain,
% 5.78/6.05 ( c_lessequals(X0,X1,X2)
% 5.78/6.05 | ~ class_Orderings_Olinorder(X2)
% 5.78/6.05 | c_Orderings_Oord__class_Omin(X0,X1,X2) != X0 ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_8062]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1584,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | c_Orderings_Oord__class_Omax(X1,X2,X0) != X2
% 5.78/6.05 | c_lessequals(X1,X2,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3422_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8056,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | c_Orderings_Oord__class_Omax(X1,X2,X0) != X2
% 5.78/6.05 | c_lessequals(X1,X2,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1584]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8057,plain,
% 5.78/6.05 ( c_lessequals(X0,X1,X2)
% 5.78/6.05 | ~ class_Orderings_Olinorder(X2)
% 5.78/6.05 | c_Orderings_Oord__class_Omax(X0,X1,X2) != X1 ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_8056]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1573,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | X1 = X2
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3419_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8034,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | X1 = X2
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1573]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8035,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.78/6.05 | ~ class_Orderings_Olinorder(X2)
% 5.78/6.05 | X0 = X1 ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_8034]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1557,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | X1 = X2
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3415_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8002,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | X1 = X2
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1557]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_8003,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.78/6.05 | ~ class_Orderings_Oorder(X2)
% 5.78/6.05 | X0 = X1 ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_8002]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1549,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | X2 = X1 ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3413_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7986,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | X2 = X1 ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1549]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7987,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.78/6.05 | ~ class_Orderings_Oorder(X2)
% 5.78/6.05 | X1 = X0 ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7986]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1543,plain,
% 5.78/6.05 ( ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0)))
% 5.78/6.05 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.78/6.05 | hBOOL(hAPP(X0,X1)) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3411_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7974,plain,
% 5.78/6.05 ( ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0)))
% 5.78/6.05 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.78/6.05 | hBOOL(hAPP(X0,X1)) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1543]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7975,plain,
% 5.78/6.05 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.78/6.05 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0)))
% 5.78/6.05 | hBOOL(hAPP(X0,X1)) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7974]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1536,plain,
% 5.78/6.05 ( ~ c_Lambda_Obeta(X0,X1)
% 5.78/6.05 | ~ c_Type_Otyping(X2,X0,X3)
% 5.78/6.05 | c_Type_Otyping(X2,X1,X3) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3408_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7960,plain,
% 5.78/6.05 ( ~ c_Lambda_Obeta(X0,X1)
% 5.78/6.05 | ~ c_Type_Otyping(X2,X0,X3)
% 5.78/6.05 | c_Type_Otyping(X2,X1,X3) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1536]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7961,plain,
% 5.78/6.05 ( ~ c_Type_Otyping(X0,X1,X2)
% 5.78/6.05 | c_Type_Otyping(X0,X3,X2)
% 5.78/6.05 | ~ c_Lambda_Obeta(X1,X3) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7960]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1521,plain,
% 5.78/6.05 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3400_2) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7930,plain,
% 5.78/6.05 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1521]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7931,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X0 = X1 ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7930]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1488,plain,
% 5.78/6.05 ( X0 = X1
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3387_2) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7864,plain,
% 5.78/6.05 ( X0 = X1
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1488]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7865,plain,
% 5.78/6.05 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.78/6.05 | X0 = X1 ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7864]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1476,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.78/6.05 | ~ c_lessequals(X1,X0,tc_nat)
% 5.78/6.05 | X0 = X1 ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3383_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7840,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.78/6.05 | ~ c_lessequals(X1,X0,tc_nat)
% 5.78/6.05 | X0 = X1 ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1476]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7841,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat)
% 5.78/6.05 | X1 = X0 ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7840]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1461,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3378_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7810,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1461]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7811,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.78/6.05 | ~ class_Orderings_Opreorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7810]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1452,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X1,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3375_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7792,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X1,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1452]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7793,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X0,X1)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 5.78/6.05 | ~ class_Orderings_Olinorder(X1) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7792]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1444,plain,
% 5.78/6.05 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.78/6.05 | ~ class_Int_Onumber__ring(X0)
% 5.78/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.78/6.05 | X2 = X3 ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3372_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7776,plain,
% 5.78/6.05 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.78/6.05 | ~ class_Int_Onumber__ring(X0)
% 5.78/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.78/6.05 | X2 = X3 ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1444]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7777,plain,
% 5.78/6.05 ( ~ class_Int_Onumber__ring(X0)
% 5.78/6.05 | ~ class_Ring__and__Field_Oidom(X0)
% 5.78/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.78/6.05 | X2 = X3 ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7776]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1428,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | X1 = X2
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | ~ c_lessequals(X2,X1,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3367_2) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7744,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | X1 = X2
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | ~ c_lessequals(X2,X1,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1428]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7745,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | ~ c_lessequals(X1,X0,X2)
% 5.78/6.05 | ~ class_Orderings_Oorder(X2)
% 5.78/6.05 | X0 = X1 ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7744]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1426,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | ~ c_lessequals(X2,X1,X0)
% 5.78/6.05 | X2 = X1 ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3367_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7740,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | ~ c_lessequals(X2,X1,X0)
% 5.78/6.05 | X2 = X1 ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1426]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7741,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | ~ c_lessequals(X1,X0,X2)
% 5.78/6.05 | ~ class_Orderings_Oorder(X2)
% 5.78/6.05 | X1 = X0 ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7740]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1423,plain,
% 5.78/6.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.78/6.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3366_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7734,plain,
% 5.78/6.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.78/6.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1423]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7735,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.78/6.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 5.78/6.05 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7734]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1419,plain,
% 5.78/6.05 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.78/6.05 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.78/6.05 | X2 = X1
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3364_2) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7726,plain,
% 5.78/6.05 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.78/6.05 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.78/6.05 | X2 = X1
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1419]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7727,plain,
% 5.78/6.05 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.78/6.05 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.78/6.05 | X2 = X1 ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7726]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1394,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.78/6.05 | ~ c_lessequals(X2,X1,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3356_2) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7676,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.78/6.05 | ~ c_lessequals(X2,X1,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1394]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7677,plain,
% 5.78/6.05 ( c_lessequals(X0,X1,X2)
% 5.78/6.05 | ~ c_lessequals(X1,X0,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.78/6.05 | ~ class_Orderings_Opreorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7676]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1392,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | c_lessequals(X2,X1,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3356_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7672,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | c_lessequals(X2,X1,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1392]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7673,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | c_lessequals(X1,X0,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.78/6.05 | ~ class_Orderings_Opreorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7672]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1385,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 5.78/6.05 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.78/6.05 | hBOOL(hAPP(X1,X0))
% 5.78/6.05 | hBOOL(hAPP(X1,X2)) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3353_1) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7658,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 5.78/6.05 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.78/6.05 | hBOOL(hAPP(X1,X0))
% 5.78/6.05 | hBOOL(hAPP(X1,X2)) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1385]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7659,plain,
% 5.78/6.05 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.78/6.05 | hBOOL(hAPP(X0,X1))
% 5.78/6.05 | hBOOL(hAPP(X0,X2))
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7658]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1384,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 5.78/6.05 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.78/6.05 | hBOOL(hAPP(X1,X2))
% 5.78/6.05 | hBOOL(hAPP(X1,X0)) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3353_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7656,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 5.78/6.05 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.78/6.05 | hBOOL(hAPP(X1,X2))
% 5.78/6.05 | hBOOL(hAPP(X1,X0)) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1384]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7657,plain,
% 5.78/6.05 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.78/6.05 | hBOOL(hAPP(X0,X1))
% 5.78/6.05 | hBOOL(hAPP(X0,X2))
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X2,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7656]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1370,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 5.78/6.05 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3347_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7628,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 5.78/6.05 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1370]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7629,plain,
% 5.78/6.05 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7628]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1351,plain,
% 5.78/6.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3338_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7590,plain,
% 5.78/6.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1351]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7591,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.78/6.05 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7590]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1348,plain,
% 5.78/6.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.78/6.05 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 5.78/6.05 | c_lessequals(X1,X2,tc_nat) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3337_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7584,plain,
% 5.78/6.05 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.78/6.05 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 5.78/6.05 | c_lessequals(X1,X2,tc_nat) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1348]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7585,plain,
% 5.78/6.05 ( ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 5.78/6.05 | c_lessequals(X0,X2,tc_nat)
% 5.78/6.05 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7584]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1331,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3329_1) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7550,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1331]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7551,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.78/6.05 | ~ class_Orderings_Opreorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7550]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1330,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3329_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7548,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1330]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7549,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.78/6.05 | ~ class_Orderings_Opreorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7548]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1328,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | ~ c_lessequals(X1,X3,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3328_2) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7544,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | ~ c_lessequals(X1,X3,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1328]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7545,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.78/6.05 | ~ class_Orderings_Opreorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7544]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1326,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | ~ c_lessequals(X3,X1,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3328_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7540,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | ~ c_lessequals(X3,X1,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1326]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7541,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.78/6.05 | ~ class_Orderings_Opreorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7540]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1323,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_lessequals(X3,X2,X0)
% 5.78/6.05 | ~ c_lessequals(X3,X1,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3327_1) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7534,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_lessequals(X3,X2,X0)
% 5.78/6.05 | ~ c_lessequals(X3,X1,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1323]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7535,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | c_lessequals(X3,X1,X2)
% 5.78/6.05 | ~ c_lessequals(X3,X0,X2)
% 5.78/6.05 | ~ class_Orderings_Opreorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7534]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1322,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | ~ c_lessequals(X3,X1,X0)
% 5.78/6.05 | c_lessequals(X3,X2,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3327_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7532,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | ~ c_lessequals(X3,X1,X0)
% 5.78/6.05 | c_lessequals(X3,X2,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1322]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7533,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | ~ c_lessequals(X3,X0,X2)
% 5.78/6.05 | c_lessequals(X3,X1,X2)
% 5.78/6.05 | ~ class_Orderings_Opreorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7532]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1320,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | ~ c_lessequals(X3,X2,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3326_2) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7528,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | ~ c_lessequals(X3,X2,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1320]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7529,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.78/6.05 | ~ class_Orderings_Oorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7528]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1318,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | ~ c_lessequals(X2,X3,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3326_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7524,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | ~ c_lessequals(X2,X3,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1318]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7525,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.78/6.05 | ~ class_Orderings_Oorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7524]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1315,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3325_1) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7518,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1315]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7519,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.78/6.05 | ~ class_Orderings_Oorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7518]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1314,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3325_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7516,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1314]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7517,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.78/6.05 | ~ class_Orderings_Oorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7516]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1311,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_lessequals(X1,X3,X0)
% 5.78/6.05 | ~ c_lessequals(X2,X3,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3324_1) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7510,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | c_lessequals(X1,X3,X0)
% 5.78/6.05 | ~ c_lessequals(X2,X3,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1311]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7511,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | c_lessequals(X0,X3,X2)
% 5.78/6.05 | ~ c_lessequals(X1,X3,X2)
% 5.78/6.05 | ~ class_Orderings_Oorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7510]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1310,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | ~ c_lessequals(X2,X3,X0)
% 5.78/6.05 | c_lessequals(X1,X3,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3324_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7508,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.05 | ~ c_lessequals(X2,X3,X0)
% 5.78/6.05 | c_lessequals(X1,X3,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1310]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7509,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | ~ c_lessequals(X1,X3,X2)
% 5.78/6.05 | c_lessequals(X0,X3,X2)
% 5.78/6.05 | ~ class_Orderings_Oorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7508]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1307,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3323_1) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7502,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1307]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7503,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.78/6.05 | ~ class_Orderings_Oorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7502]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1306,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3323_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7500,plain,
% 5.78/6.05 ( ~ class_Orderings_Oorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1306]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7501,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.78/6.05 | ~ class_Orderings_Oorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7500]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1303,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3322_1) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7494,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1303]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7495,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.78/6.05 | ~ class_Orderings_Opreorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7494]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1302,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3322_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7492,plain,
% 5.78/6.05 ( ~ class_Orderings_Opreorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1302]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7493,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.78/6.05 | ~ class_Orderings_Opreorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7492]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1233,plain,
% 5.78/6.05 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.78/6.05 | X1 = X2 ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3296_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7354,plain,
% 5.78/6.05 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.78/6.05 | X1 = X2 ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1233]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7355,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.78/6.05 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 5.78/6.05 | X1 = X2 ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7354]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1189,plain,
% 5.78/6.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3279_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7266,plain,
% 5.78/6.05 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1189]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7267,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 5.78/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7266]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1185,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.05 | 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) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3278_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7258,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.05 | 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) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1185]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7259,plain,
% 5.78/6.05 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.05 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.05 | 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) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7258]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1182,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3277_2) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7252,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1182]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7253,plain,
% 5.78/6.05 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.05 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7252]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1180,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3277_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7248,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1180]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7249,plain,
% 5.78/6.05 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.05 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7248]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1177,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.05 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3276_2) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7242,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.05 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1177]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7243,plain,
% 5.78/6.05 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.05 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7242]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1175,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3276_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7238,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.05 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1175]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7239,plain,
% 5.78/6.05 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.05 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.05 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.05 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.78/6.05 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7238]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1166,plain,
% 5.78/6.05 ( ~ class_Ring__and__Field_Oring__1(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,tc_nat)
% 5.78/6.05 | 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) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3272_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7220,plain,
% 5.78/6.05 ( ~ class_Ring__and__Field_Oring__1(X0)
% 5.78/6.05 | ~ c_lessequals(X1,X2,tc_nat)
% 5.78/6.05 | 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) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1166]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7221,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.78/6.05 | ~ class_Ring__and__Field_Oring__1(X2)
% 5.78/6.05 | 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) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7220]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1148,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.78/6.05 | c_lessequals(X1,X3,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3265_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7184,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.78/6.05 | c_lessequals(X1,X3,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1148]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7185,plain,
% 5.78/6.05 ( ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 5.78/6.05 | c_lessequals(X0,X3,X2)
% 5.78/6.05 | ~ class_Orderings_Olinorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7184]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1145,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3264_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7178,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1145]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7179,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X0,X2,X3)
% 5.78/6.05 | ~ class_Orderings_Olinorder(X3) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7178]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1142,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3263_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7172,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1142]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7173,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X0,X1,X3)
% 5.78/6.05 | ~ class_Orderings_Olinorder(X3) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7172]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1139,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3262_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7166,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1139]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7167,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.78/6.05 | ~ class_Orderings_Olinorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7166]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1136,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3261_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7160,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1136]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7161,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.78/6.05 | ~ class_Orderings_Olinorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7160]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1133,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.78/6.05 | c_lessequals(X2,X3,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3260_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7154,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.78/6.05 | c_lessequals(X2,X3,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1133]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7155,plain,
% 5.78/6.05 ( ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 5.78/6.05 | c_lessequals(X1,X3,X2)
% 5.78/6.05 | ~ class_Orderings_Olinorder(X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7154]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1124,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.78/6.05 | c_lessequals(X1,X2,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3257_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7136,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.78/6.05 | c_lessequals(X1,X2,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1124]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7137,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 5.78/6.05 | c_lessequals(X0,X1,X3)
% 5.78/6.05 | ~ class_Orderings_Olinorder(X3) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7136]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1121,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.78/6.05 | c_lessequals(X1,X3,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3256_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7130,plain,
% 5.78/6.05 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.05 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.78/6.05 | c_lessequals(X1,X3,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1121]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7131,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 5.78/6.05 | c_lessequals(X0,X2,X3)
% 5.78/6.05 | ~ class_Orderings_Olinorder(X3) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7130]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1106,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3249_1) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7100,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1106]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7101,plain,
% 5.78/6.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.78/6.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7100]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1105,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3249_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7098,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1105]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7099,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.78/6.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7098]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1102,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3248_1) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7092,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1102]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7093,plain,
% 5.78/6.05 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.78/6.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7092]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1101,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3248_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7090,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1101]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7091,plain,
% 5.78/6.05 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.78/6.05 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.78/6.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7090]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1098,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.78/6.05 | c_lessequals(X2,X1,X0)
% 5.78/6.05 | ~ c_lessequals(X4,X3,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3247_1) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7084,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.78/6.05 | c_lessequals(X2,X1,X0)
% 5.78/6.05 | ~ c_lessequals(X4,X3,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1098]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7085,plain,
% 5.78/6.05 ( c_lessequals(X0,X1,X2)
% 5.78/6.05 | ~ c_lessequals(X3,X4,X2)
% 5.78/6.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7084]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1097,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.78/6.05 | ~ c_lessequals(X4,X3,X0)
% 5.78/6.05 | c_lessequals(X2,X1,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3247_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7082,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.78/6.05 | ~ c_lessequals(X4,X3,X0)
% 5.78/6.05 | c_lessequals(X2,X1,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1097]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7083,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | c_lessequals(X3,X4,X2)
% 5.78/6.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7082]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1094,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.78/6.05 | c_lessequals(X4,X3,X0)
% 5.78/6.05 | ~ c_lessequals(X2,X1,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3246_1) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7076,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.78/6.05 | c_lessequals(X4,X3,X0)
% 5.78/6.05 | ~ c_lessequals(X2,X1,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1094]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7077,plain,
% 5.78/6.05 ( c_lessequals(X0,X1,X2)
% 5.78/6.05 | ~ c_lessequals(X3,X4,X2)
% 5.78/6.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7076]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1093,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.78/6.05 | ~ c_lessequals(X2,X1,X0)
% 5.78/6.05 | c_lessequals(X4,X3,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3246_0) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7074,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.78/6.05 | ~ c_lessequals(X2,X1,X0)
% 5.78/6.05 | c_lessequals(X4,X3,X0) ),
% 5.78/6.05 inference(copy,[status(esa)],[c_1093]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_7075,plain,
% 5.78/6.05 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.05 | c_lessequals(X3,X4,X2)
% 5.78/6.05 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.78/6.05 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 5.78/6.05 inference(rewriting,[status(thm)],[c_7074]) ).
% 5.78/6.05
% 5.78/6.05 cnf(c_1090,plain,
% 5.78/6.05 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.78/6.05 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.78/6.05 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.78/6.05 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3245_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_7068,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_1090]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_7069,plain,
% 5.78/6.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_7068]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_1087,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.78/6.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3244_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_7062,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.78/6.06 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_1087]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_7063,plain,
% 5.78/6.06 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_7062]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_1084,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3243_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_7056,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_1084]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_7057,plain,
% 5.78/6.06 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_7056]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_1081,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3242_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_7050,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_1081]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_7051,plain,
% 5.78/6.06 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_7050]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_1078,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.78/6.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3241_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_7044,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.78/6.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_1078]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_7045,plain,
% 5.78/6.06 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.78/6.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_7044]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_1075,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3240_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_7038,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_1075]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_7039,plain,
% 5.78/6.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.78/6.06 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_7038]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_1072,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_lessequals(X1,X2,X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3239_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_7032,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_lessequals(X1,X2,X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_1072]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_7033,plain,
% 5.78/6.06 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.78/6.06 | c_lessequals(X0,X1,X2)
% 5.78/6.06 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_7032]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_1041,plain,
% 5.78/6.06 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3223_2) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6970,plain,
% 5.78/6.06 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_1041]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6971,plain,
% 5.78/6.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.78/6.06 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X1,tc_nat) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6970]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_1037,plain,
% 5.78/6.06 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 5.78/6.06 | X0 = X2
% 5.78/6.06 | ~ c_lessequals(X1,X0,tc_nat)
% 5.78/6.06 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3222_2) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6962,plain,
% 5.78/6.06 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 5.78/6.06 | X0 = X2
% 5.78/6.06 | ~ c_lessequals(X1,X0,tc_nat)
% 5.78/6.06 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_1037]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6963,plain,
% 5.78/6.06 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.78/6.06 | ~ c_lessequals(X0,X2,tc_nat)
% 5.78/6.06 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)
% 5.78/6.06 | X1 = X2 ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6962]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_1035,plain,
% 5.78/6.06 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 5.78/6.06 | ~ c_lessequals(X1,X2,tc_nat)
% 5.78/6.06 | ~ c_lessequals(X1,X0,tc_nat)
% 5.78/6.06 | X0 = X2 ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3222_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6958,plain,
% 5.78/6.06 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 5.78/6.06 | ~ c_lessequals(X1,X2,tc_nat)
% 5.78/6.06 | ~ c_lessequals(X1,X0,tc_nat)
% 5.78/6.06 | X0 = X2 ),
% 5.78/6.06 inference(copy,[status(esa)],[c_1035]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6959,plain,
% 5.78/6.06 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.78/6.06 | ~ c_lessequals(X0,X2,tc_nat)
% 5.78/6.06 | c_HOL_Ominus__class_Ominus(X2,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)
% 5.78/6.06 | X2 = X1 ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6958]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_1032,plain,
% 5.78/6.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.78/6.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3221_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6952,plain,
% 5.78/6.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.78/6.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_1032]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6953,plain,
% 5.78/6.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6952]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_1016,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.06 | ~ c_lessequals(X3,X2,X0)
% 5.78/6.06 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3216_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6920,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.06 | ~ c_lessequals(X3,X2,X0)
% 5.78/6.06 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_1016]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6921,plain,
% 5.78/6.06 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 5.78/6.06 | ~ c_lessequals(X1,X3,X2)
% 5.78/6.06 | ~ c_lessequals(X0,X3,X2)
% 5.78/6.06 | ~ class_Orderings_Olinorder(X2) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6920]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_1012,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3215_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6912,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_1012]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6913,plain,
% 5.78/6.06 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 5.78/6.06 | ~ class_Orderings_Olinorder(X3) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6912]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_1008,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3214_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6904,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_1008]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6905,plain,
% 5.78/6.06 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.78/6.06 | ~ class_Orderings_Olinorder(X2) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6904]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_996,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.06 | ~ c_lessequals(X1,X3,X0)
% 5.78/6.06 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3211_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6880,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.06 | ~ c_lessequals(X1,X3,X0)
% 5.78/6.06 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_996]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6881,plain,
% 5.78/6.06 ( c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 5.78/6.06 | ~ c_lessequals(X0,X2,X3)
% 5.78/6.06 | ~ c_lessequals(X0,X1,X3)
% 5.78/6.06 | ~ class_Orderings_Olinorder(X3) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6880]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_977,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3203_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6842,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_977]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6843,plain,
% 5.78/6.06 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.78/6.06 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6842]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_948,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.78/6.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3194_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6784,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.78/6.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_948]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6785,plain,
% 5.78/6.06 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.78/6.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.78/6.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6784]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_943,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.78/6.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.78/6.06 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.78/6.06 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3193_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6774,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.78/6.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.78/6.06 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.78/6.06 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_943]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6775,plain,
% 5.78/6.06 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0)
% 5.78/6.06 | ~ c_lessequals(X2,X3,X0)
% 5.78/6.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.78/6.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6774]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_938,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.78/6.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.78/6.06 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.78/6.06 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3192_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6764,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.78/6.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.78/6.06 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.78/6.06 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_938]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6765,plain,
% 5.78/6.06 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.78/6.06 | ~ c_lessequals(X2,X3,X0)
% 5.78/6.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.78/6.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6764]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_933,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.78/6.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.78/6.06 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3191_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6754,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.78/6.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.78/6.06 | ~ c_lessequals(X1,X2,X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_933]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6755,plain,
% 5.78/6.06 ( ~ c_lessequals(X0,X1,X2)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 5.78/6.06 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
% 5.78/6.06 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6754]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_929,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3190_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6746,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_929]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6747,plain,
% 5.78/6.06 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6746]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_925,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3189_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6738,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_925]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6739,plain,
% 5.78/6.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6738]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_921,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3188_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6730,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_921]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6731,plain,
% 5.78/6.06 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.78/6.06 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.78/6.06 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6730]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_917,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3187_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6722,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_917]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6723,plain,
% 5.78/6.06 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.78/6.06 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.78/6.06 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6722]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_913,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3186_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6714,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_913]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6715,plain,
% 5.78/6.06 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6714]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_909,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3185_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6706,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_909]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6707,plain,
% 5.78/6.06 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6706]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_905,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3184_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6698,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_905]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6699,plain,
% 5.78/6.06 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6698]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_901,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3183_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6690,plain,
% 5.78/6.06 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_901]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6691,plain,
% 5.78/6.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6690]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_900,plain,
% 5.78/6.06 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3182_2) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6688,plain,
% 5.78/6.06 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_900]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6689,plain,
% 5.78/6.06 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6688]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_897,plain,
% 5.78/6.06 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3181_2) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6682,plain,
% 5.78/6.06 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_897]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6683,plain,
% 5.78/6.06 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6682]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_891,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3180_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6670,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_891]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6671,plain,
% 5.78/6.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6670]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_883,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.78/6.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3178_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6654,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.78/6.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_883]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6655,plain,
% 5.78/6.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.78/6.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6654]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_879,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3177_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6646,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_879]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6647,plain,
% 5.78/6.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6646]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_875,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3176_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6638,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_875]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6639,plain,
% 5.78/6.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.78/6.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6638]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_871,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3175_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6630,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_871]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6631,plain,
% 5.78/6.06 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6630]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_835,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3166_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6558,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_835]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6559,plain,
% 5.78/6.06 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.78/6.06 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.78/6.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6558]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_827,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3164_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6542,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_827]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6543,plain,
% 5.78/6.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.06 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6542]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_823,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3163_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6534,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_823]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6535,plain,
% 5.78/6.06 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6534]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_814,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3159_1) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6516,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_814]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6517,plain,
% 5.78/6.06 ( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.78/6.06 | ~ class_Orderings_Olinorder(X2) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6516]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_813,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3159_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6514,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_813]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6515,plain,
% 5.78/6.06 ( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.78/6.06 | ~ class_Orderings_Olinorder(X2) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6514]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_810,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3158_1) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6508,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_810]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6509,plain,
% 5.78/6.06 ( ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X0,X1,X3)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X0,X2,X3)
% 5.78/6.06 | ~ class_Orderings_Olinorder(X3) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6508]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_809,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3158_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6506,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_809]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6507,plain,
% 5.78/6.06 ( ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X0,X2,X3)
% 5.78/6.06 | c_HOL_Oord__class_Oless(X0,X1,X3)
% 5.78/6.06 | ~ class_Orderings_Olinorder(X3) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6506]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_806,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 5.78/6.06 | c_lessequals(X1,X3,X0)
% 5.78/6.06 | c_lessequals(X2,X3,X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3157_1) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6500,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 5.78/6.06 | c_lessequals(X1,X3,X0)
% 5.78/6.06 | c_lessequals(X2,X3,X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_806]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6501,plain,
% 5.78/6.06 ( ~ c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 5.78/6.06 | c_lessequals(X0,X3,X2)
% 5.78/6.06 | c_lessequals(X1,X3,X2)
% 5.78/6.06 | ~ class_Orderings_Olinorder(X2) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6500]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_805,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 5.78/6.06 | c_lessequals(X2,X3,X0)
% 5.78/6.06 | c_lessequals(X1,X3,X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3157_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6498,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 5.78/6.06 | c_lessequals(X2,X3,X0)
% 5.78/6.06 | c_lessequals(X1,X3,X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_805]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6499,plain,
% 5.78/6.06 ( ~ c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 5.78/6.06 | c_lessequals(X1,X3,X2)
% 5.78/6.06 | c_lessequals(X0,X3,X2)
% 5.78/6.06 | ~ class_Orderings_Olinorder(X2) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6498]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_802,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 5.78/6.06 | c_lessequals(X1,X2,X0)
% 5.78/6.06 | c_lessequals(X1,X3,X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3156_1) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6492,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 5.78/6.06 | c_lessequals(X1,X2,X0)
% 5.78/6.06 | c_lessequals(X1,X3,X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_802]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6493,plain,
% 5.78/6.06 ( ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 5.78/6.06 | c_lessequals(X0,X1,X3)
% 5.78/6.06 | c_lessequals(X0,X2,X3)
% 5.78/6.06 | ~ class_Orderings_Olinorder(X3) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6492]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_801,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 5.78/6.06 | c_lessequals(X1,X3,X0)
% 5.78/6.06 | c_lessequals(X1,X2,X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3156_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6490,plain,
% 5.78/6.06 ( ~ class_Orderings_Olinorder(X0)
% 5.78/6.06 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 5.78/6.06 | c_lessequals(X1,X3,X0)
% 5.78/6.06 | c_lessequals(X1,X2,X0) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_801]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6491,plain,
% 5.78/6.06 ( ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 5.78/6.06 | c_lessequals(X0,X2,X3)
% 5.78/6.06 | c_lessequals(X0,X1,X3)
% 5.78/6.06 | ~ class_Orderings_Olinorder(X3) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6490]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_798,plain,
% 5.78/6.06 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.78/6.06 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.78/6.06 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3155_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6484,plain,
% 5.78/6.06 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.78/6.06 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.78/6.06 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_798]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6485,plain,
% 5.78/6.06 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.78/6.06 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.78/6.06 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6484]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_795,plain,
% 5.78/6.06 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.78/6.06 | 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) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3154_0) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6478,plain,
% 5.78/6.06 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.78/6.06 | 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) ),
% 5.78/6.06 inference(copy,[status(esa)],[c_795]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6479,plain,
% 5.78/6.06 ( 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)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.78/6.06 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.78/6.06 inference(rewriting,[status(thm)],[c_6478]) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_775,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.78/6.06 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 5.78/6.06 | X1 = X3
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.06 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.78/6.06 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3145_2) ).
% 5.78/6.06
% 5.78/6.06 cnf(c_6438,plain,
% 5.78/6.06 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.78/6.06 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 5.78/6.07 | X1 = X3
% 5.78/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.78/6.07 inference(copy,[status(esa)],[c_775]) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_6439,plain,
% 5.78/6.07 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.07 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.78/6.07 | c_Power_Opower__class_Opower(X1,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X2,c_Suc(X3),X0)
% 5.78/6.07 | X1 = X2 ),
% 5.78/6.07 inference(rewriting,[status(thm)],[c_6438]) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_773,plain,
% 5.78/6.07 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.78/6.07 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.07 | X1 = X3 ),
% 5.78/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3145_0) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_6434,plain,
% 5.78/6.07 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.78/6.07 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.07 | X1 = X3 ),
% 5.78/6.07 inference(copy,[status(esa)],[c_773]) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_6435,plain,
% 5.78/6.07 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.07 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.78/6.07 | c_Power_Opower__class_Opower(X2,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)
% 5.78/6.07 | X2 = X1 ),
% 5.78/6.07 inference(rewriting,[status(thm)],[c_6434]) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_769,plain,
% 5.78/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.78/6.07 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.78/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3144_0) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_6426,plain,
% 5.78/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.78/6.07 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.78/6.07 inference(copy,[status(esa)],[c_769]) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_6427,plain,
% 5.78/6.07 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.07 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.78/6.07 inference(rewriting,[status(thm)],[c_6426]) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_765,plain,
% 5.78/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.78/6.07 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.78/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3143_0) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_6418,plain,
% 5.78/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.78/6.07 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.78/6.07 inference(copy,[status(esa)],[c_765]) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_6419,plain,
% 5.78/6.07 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.07 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.78/6.07 inference(rewriting,[status(thm)],[c_6418]) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_761,plain,
% 5.78/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.78/6.07 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.78/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3142_0) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_6410,plain,
% 5.78/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.78/6.07 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.78/6.07 inference(copy,[status(esa)],[c_761]) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_6411,plain,
% 5.78/6.07 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.07 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.78/6.07 inference(rewriting,[status(thm)],[c_6410]) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_757,plain,
% 5.78/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.78/6.07 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.78/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3141_0) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_6402,plain,
% 5.78/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.78/6.07 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.78/6.07 inference(copy,[status(esa)],[c_757]) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_6403,plain,
% 5.78/6.07 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.07 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.78/6.07 inference(rewriting,[status(thm)],[c_6402]) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_753,plain,
% 5.78/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.07 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.78/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3140_0) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_6394,plain,
% 5.78/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.07 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.78/6.07 inference(copy,[status(esa)],[c_753]) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_6395,plain,
% 5.78/6.07 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.78/6.07 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.78/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.78/6.07 inference(rewriting,[status(thm)],[c_6394]) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_750,plain,
% 5.78/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.78/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3139_1) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_6388,plain,
% 5.78/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.78/6.07 inference(copy,[status(esa)],[c_750]) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_6389,plain,
% 5.78/6.07 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.78/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.78/6.07 inference(rewriting,[status(thm)],[c_6388]) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_749,plain,
% 5.78/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.78/6.07 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.78/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.78/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3139_0) ).
% 5.78/6.07
% 5.78/6.07 cnf(c_6386,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_749]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6387,plain,
% 5.81/6.07 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.81/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6386]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_746,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3138_1) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6380,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_746]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6381,plain,
% 5.81/6.07 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.07 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.07 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6380]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_745,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3138_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6378,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_745]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6379,plain,
% 5.81/6.07 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.07 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.07 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6378]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_741,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.07 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3137_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6370,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.07 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_741]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6371,plain,
% 5.81/6.07 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.07 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.81/6.07 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6370]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_738,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 5.81/6.07 | 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) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3136_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6364,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 5.81/6.07 | 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) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_738]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6365,plain,
% 5.81/6.07 ( 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)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6364]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_735,plain,
% 5.81/6.07 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.07 | ~ c_lessequals(X2,X3,tc_nat)
% 5.81/6.07 | 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) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3135_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6358,plain,
% 5.81/6.07 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.07 | ~ c_lessequals(X2,X3,tc_nat)
% 5.81/6.07 | 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) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_735]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6359,plain,
% 5.81/6.07 ( 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)
% 5.81/6.07 | ~ c_lessequals(X1,X3,tc_nat)
% 5.81/6.07 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6358]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_710,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3123_2) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6308,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_710]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6309,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6308]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_708,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3123_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6304,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_708]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6305,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6304]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_706,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3122_2) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6300,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_706]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6301,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6300]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_704,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3122_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6296,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_704]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6297,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6296]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_701,plain,
% 5.81/6.07 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.07 | ~ c_lessequals(X2,X3,tc_nat)
% 5.81/6.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3121_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6290,plain,
% 5.81/6.07 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.07 | ~ c_lessequals(X2,X3,tc_nat)
% 5.81/6.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_701]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6291,plain,
% 5.81/6.07 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 5.81/6.07 | ~ c_lessequals(X1,X3,tc_nat)
% 5.81/6.07 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6290]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_695,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.81/6.07 | 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) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3119_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6278,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.81/6.07 | 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) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_695]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6279,plain,
% 5.81/6.07 ( 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)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6278]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_657,plain,
% 5.81/6.07 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.81/6.07 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.81/6.07 | 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) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3104_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6202,plain,
% 5.81/6.07 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.81/6.07 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.81/6.07 | 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) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_657]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6203,plain,
% 5.81/6.07 ( ~ c_lessequals(X0,X1,X2)
% 5.81/6.07 | 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)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.81/6.07 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6202]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_653,plain,
% 5.81/6.07 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.07 | ~ c_lessequals(X3,X4,X0)
% 5.81/6.07 | 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) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3103_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6194,plain,
% 5.81/6.07 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.07 | ~ c_lessequals(X3,X4,X0)
% 5.81/6.07 | 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) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_653]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6195,plain,
% 5.81/6.07 ( ~ c_lessequals(X0,X1,X2)
% 5.81/6.07 | 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)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.81/6.07 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6194]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_649,plain,
% 5.81/6.07 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.81/6.07 | 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) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3102_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6186,plain,
% 5.81/6.07 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.81/6.07 | 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) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_649]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6187,plain,
% 5.81/6.07 ( 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)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.07 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6186]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_645,plain,
% 5.81/6.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.81/6.07 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.07 | ~ c_lessequals(X3,X4,X0)
% 5.81/6.07 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3101_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6178,plain,
% 5.81/6.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.81/6.07 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.07 | ~ c_lessequals(X3,X4,X0)
% 5.81/6.07 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_645]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6179,plain,
% 5.81/6.07 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 5.81/6.07 | ~ c_lessequals(X2,X4,X0)
% 5.81/6.07 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6178]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_637,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3098_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6162,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_637]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6163,plain,
% 5.81/6.07 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6162]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_625,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3095_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6138,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_625]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6139,plain,
% 5.81/6.07 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6138]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_609,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3091_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6106,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_609]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6107,plain,
% 5.81/6.07 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6106]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_593,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_lessequals(X2,X3,X0)
% 5.81/6.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3087_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6074,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_lessequals(X2,X3,X0)
% 5.81/6.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_593]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6075,plain,
% 5.81/6.07 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.81/6.07 | ~ c_lessequals(X1,X3,X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6074]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_589,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_lessequals(X2,X3,X0)
% 5.81/6.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3086_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6066,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_lessequals(X2,X3,X0)
% 5.81/6.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_589]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6067,plain,
% 5.81/6.07 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.81/6.07 | ~ c_lessequals(X1,X3,X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6066]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_585,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_lessequals(X2,X3,X0)
% 5.81/6.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3085_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6058,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_lessequals(X2,X3,X0)
% 5.81/6.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_585]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6059,plain,
% 5.81/6.07 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.81/6.07 | ~ c_lessequals(X0,X3,X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6058]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_581,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | ~ c_lessequals(X2,X3,X0)
% 5.81/6.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3084_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6050,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | ~ c_lessequals(X2,X3,X0)
% 5.81/6.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_581]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6051,plain,
% 5.81/6.07 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.81/6.07 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.07 | ~ c_lessequals(X3,X1,X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6050]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_577,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | ~ c_lessequals(X2,X3,X0)
% 5.81/6.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3083_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6042,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | ~ c_lessequals(X2,X3,X0)
% 5.81/6.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_577]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6043,plain,
% 5.81/6.07 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.81/6.07 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.07 | ~ c_lessequals(X3,X0,X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6042]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_573,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.81/6.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3082_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6034,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.81/6.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_573]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6035,plain,
% 5.81/6.07 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.81/6.07 | ~ c_lessequals(X1,X3,X2)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6034]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_569,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3081_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6026,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_569]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6027,plain,
% 5.81/6.07 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.81/6.07 | ~ c_lessequals(X3,X1,X2)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6026]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_565,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.07 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3080_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6018,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.07 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_565]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6019,plain,
% 5.81/6.07 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 5.81/6.07 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6018]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_561,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.07 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.81/6.07 | X1 = X3
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3079_2) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6010,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.07 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.81/6.07 | X1 = X3
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_561]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6011,plain,
% 5.81/6.07 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.07 | c_Power_Opower__class_Opower(X1,X3,X0) != c_Power_Opower__class_Opower(X2,X3,X0)
% 5.81/6.07 | X1 = X2 ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6010]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_559,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.07 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | X1 = X3 ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3079_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6006,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.07 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | X1 = X3 ),
% 5.81/6.07 inference(copy,[status(esa)],[c_559]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_6007,plain,
% 5.81/6.07 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.07 | c_Power_Opower__class_Opower(X2,X3,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 5.81/6.07 | X2 = X1 ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_6006]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_545,plain,
% 5.81/6.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.07 | ~ 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)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3073_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5978,plain,
% 5.81/6.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.07 | ~ 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)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_545]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5979,plain,
% 5.81/6.07 ( ~ 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)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_5978]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_542,plain,
% 5.81/6.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.07 | ~ 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)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3072_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5972,plain,
% 5.81/6.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.07 | ~ 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)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_542]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5973,plain,
% 5.81/6.07 ( ~ 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)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_5972]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_539,plain,
% 5.81/6.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.07 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.81/6.07 | c_lessequals(X2,X3,X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3071_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5966,plain,
% 5.81/6.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.07 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.81/6.07 | c_lessequals(X2,X3,X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_539]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5967,plain,
% 5.81/6.07 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.81/6.07 | c_lessequals(X2,X3,X0)
% 5.81/6.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_5966]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_536,plain,
% 5.81/6.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.07 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 5.81/6.07 | c_lessequals(X1,X3,X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3070_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5960,plain,
% 5.81/6.07 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.07 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 5.81/6.07 | c_lessequals(X1,X3,X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_536]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5961,plain,
% 5.81/6.07 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 5.81/6.07 | c_lessequals(X1,X3,X0)
% 5.81/6.07 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_5960]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_533,plain,
% 5.81/6.07 ( ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 5.81/6.07 | ~ c_lessequals(X2,X1,tc_nat)
% 5.81/6.07 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3069_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5954,plain,
% 5.81/6.07 ( ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 5.81/6.07 | ~ c_lessequals(X2,X1,tc_nat)
% 5.81/6.07 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_533]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5955,plain,
% 5.81/6.07 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.81/6.07 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.81/6.07 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_5954]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_525,plain,
% 5.81/6.07 ( 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)
% 5.81/6.07 | ~ c_lessequals(X1,X0,tc_nat)
% 5.81/6.07 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3065_2) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5938,plain,
% 5.81/6.07 ( 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)
% 5.81/6.07 | ~ c_lessequals(X1,X0,tc_nat)
% 5.81/6.07 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_525]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5939,plain,
% 5.81/6.07 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.07 | ~ c_lessequals(X0,X2,tc_nat)
% 5.81/6.07 | 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) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_5938]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_516,plain,
% 5.81/6.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.81/6.07 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.07 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 5.81/6.07 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3063_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5920,plain,
% 5.81/6.07 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.81/6.07 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.07 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 5.81/6.07 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_516]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5921,plain,
% 5.81/6.07 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 5.81/6.07 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 5.81/6.07 | ~ c_lessequals(X3,X4,X1)
% 5.81/6.07 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_5920]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_506,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.07 | 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)
% 5.81/6.07 | ~ c_lessequals(X2,X0,tc_nat)
% 5.81/6.07 | ~ c_lessequals(X2,X1,tc_nat) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3058_2) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5900,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.07 | 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)
% 5.81/6.07 | ~ c_lessequals(X2,X0,tc_nat)
% 5.81/6.07 | ~ c_lessequals(X2,X1,tc_nat) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_506]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5901,plain,
% 5.81/6.07 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.07 | ~ c_lessequals(X0,X2,tc_nat)
% 5.81/6.07 | 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)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_5900]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_504,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.07 | ~ c_lessequals(X2,X1,tc_nat)
% 5.81/6.07 | ~ c_lessequals(X2,X0,tc_nat)
% 5.81/6.07 | 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) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3058_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5896,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.07 | ~ c_lessequals(X2,X1,tc_nat)
% 5.81/6.07 | ~ c_lessequals(X2,X0,tc_nat)
% 5.81/6.07 | 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) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_504]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5897,plain,
% 5.81/6.07 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.07 | ~ c_lessequals(X0,X2,tc_nat)
% 5.81/6.07 | 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)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_5896]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_493,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.81/6.07 | ~ class_Int_Onumber__ring(X0)
% 5.81/6.07 | 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))
% 5.81/6.07 | X3 = X4
% 5.81/6.07 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3055_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5874,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.81/6.07 | ~ class_Int_Onumber__ring(X0)
% 5.81/6.07 | 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))
% 5.81/6.07 | X3 = X4
% 5.81/6.07 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_493]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5875,plain,
% 5.81/6.07 ( ~ class_Int_Onumber__ring(X0)
% 5.81/6.07 | ~ class_Ring__and__Field_Oidom(X0)
% 5.81/6.07 | 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))
% 5.81/6.07 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.07 | X3 = X4 ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_5874]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_478,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3048_1) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5844,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_478]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5845,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_5844]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_477,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3048_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5842,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_477]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5843,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_5842]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_474,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3047_1) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5836,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_474]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5837,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_5836]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_473,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3047_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5834,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_473]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5835,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_5834]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_467,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3045_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5822,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_467]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5823,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_5822]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_463,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3044_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5814,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_463]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5815,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_5814]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_459,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3043_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5806,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_459]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5807,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_5806]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_455,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3042_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5798,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_455]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5799,plain,
% 5.81/6.07 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.07 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.07 inference(rewriting,[status(thm)],[c_5798]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_450,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0) ),
% 5.81/6.07 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3041_0) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5788,plain,
% 5.81/6.07 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.81/6.07 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0) ),
% 5.81/6.07 inference(copy,[status(esa)],[c_450]) ).
% 5.81/6.07
% 5.81/6.07 cnf(c_5789,plain,
% 5.81/6.07 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.81/6.07 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 5.81/6.07 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.07 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5788]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_442,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3038_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5772,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_442]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5773,plain,
% 5.81/6.08 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5772]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_438,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3037_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5764,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_438]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5765,plain,
% 5.81/6.08 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5764]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_426,plain,
% 5.81/6.08 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
% 5.81/6.08 | c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3033_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5740,plain,
% 5.81/6.08 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
% 5.81/6.08 | c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_426]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5741,plain,
% 5.81/6.08 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 5.81/6.08 | c_lessequals(X0,X2,tc_nat)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5740]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_422,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3032_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5732,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_422]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5733,plain,
% 5.81/6.08 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5732]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_418,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3031_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5724,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_418]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5725,plain,
% 5.81/6.08 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5724]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_414,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 5.81/6.08 | c_lessequals(X2,X3,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3030_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5716,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 5.81/6.08 | c_lessequals(X2,X3,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_414]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5717,plain,
% 5.81/6.08 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.81/6.08 | c_lessequals(X0,X3,X2)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5716]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_410,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.08 | c_lessequals(X2,X3,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3029_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5708,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.08 | c_lessequals(X2,X3,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_410]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5709,plain,
% 5.81/6.08 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.81/6.08 | c_lessequals(X1,X3,X2)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5708]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_406,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | c_lessequals(X2,X3,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3028_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5700,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | c_lessequals(X2,X3,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_406]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5701,plain,
% 5.81/6.08 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.81/6.08 | c_lessequals(X1,X3,X2)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5700]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_402,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.08 | c_lessequals(X3,X2,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3027_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5692,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.08 | c_lessequals(X3,X2,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_402]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5693,plain,
% 5.81/6.08 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.81/6.08 | c_lessequals(X3,X1,X2)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5692]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_398,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3026_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5684,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_398]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5685,plain,
% 5.81/6.08 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5684]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_394,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3025_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5676,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_394]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5677,plain,
% 5.81/6.08 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__semiring(X0) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5676]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_390,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3024_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5668,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_390]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5669,plain,
% 5.81/6.08 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__semiring(X0) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5668]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_386,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3023_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5660,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_386]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5661,plain,
% 5.81/6.08 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5660]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_382,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3022_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5652,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_382]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5653,plain,
% 5.81/6.08 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5652]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_370,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 5.81/6.08 | c_lessequals(X2,X1,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3018_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5628,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 5.81/6.08 | c_lessequals(X2,X1,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_370]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5629,plain,
% 5.81/6.08 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 5.81/6.08 | c_lessequals(X2,X1,X0)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5628]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_368,plain,
% 5.81/6.08 ( ~ 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)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.81/6.08 | ~ c_lessequals(X1,X0,tc_nat)
% 5.81/6.08 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3017_2) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5624,plain,
% 5.81/6.08 ( ~ 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)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.81/6.08 | ~ c_lessequals(X1,X0,tc_nat)
% 5.81/6.08 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_368]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5625,plain,
% 5.81/6.08 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.08 | ~ c_lessequals(X0,X2,tc_nat)
% 5.81/6.08 | ~ 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)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5624]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_366,plain,
% 5.81/6.08 ( ~ 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)
% 5.81/6.08 | ~ c_lessequals(X1,X2,tc_nat)
% 5.81/6.08 | ~ c_lessequals(X1,X0,tc_nat)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3017_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5620,plain,
% 5.81/6.08 ( ~ 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)
% 5.81/6.08 | ~ c_lessequals(X1,X2,tc_nat)
% 5.81/6.08 | ~ c_lessequals(X1,X0,tc_nat)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_366]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5621,plain,
% 5.81/6.08 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.08 | ~ c_lessequals(X0,X2,tc_nat)
% 5.81/6.08 | ~ 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)
% 5.81/6.08 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5620]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_360,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3015_4) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5608,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_360]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5609,plain,
% 5.81/6.08 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5608]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_358,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3015_2) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5604,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_358]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5605,plain,
% 5.81/6.08 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5604]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_356,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3015_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5600,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_356]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5601,plain,
% 5.81/6.08 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5600]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_354,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.81/6.08 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.81/6.08 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.08 | ~ c_lessequals(X2,X4,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3014_4) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5596,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.81/6.08 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.81/6.08 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.08 | ~ c_lessequals(X2,X4,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_354]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5597,plain,
% 5.81/6.08 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.81/6.08 | ~ c_lessequals(X0,X3,X2)
% 5.81/6.08 | ~ c_lessequals(X1,X4,X2)
% 5.81/6.08 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5596]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_352,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.81/6.08 | ~ c_lessequals(X2,X3,X0)
% 5.81/6.08 | ~ c_lessequals(X1,X4,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3014_2) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5592,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.81/6.08 | ~ c_lessequals(X2,X3,X0)
% 5.81/6.08 | ~ c_lessequals(X1,X4,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_352]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5593,plain,
% 5.81/6.08 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.81/6.08 | ~ c_lessequals(X0,X3,X2)
% 5.81/6.08 | ~ c_lessequals(X1,X4,X2)
% 5.81/6.08 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5592]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_350,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.08 | ~ c_lessequals(X2,X4,X0)
% 5.81/6.08 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3014_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5588,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.08 | ~ c_lessequals(X2,X4,X0)
% 5.81/6.08 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_350]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5589,plain,
% 5.81/6.08 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.81/6.08 | ~ c_lessequals(X1,X4,X2)
% 5.81/6.08 | ~ c_lessequals(X0,X3,X2)
% 5.81/6.08 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5588]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_348,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.81/6.08 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.81/6.08 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.08 | ~ c_lessequals(X2,X4,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3013_4) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5584,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.81/6.08 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.81/6.08 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.08 | ~ c_lessequals(X2,X4,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_348]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5585,plain,
% 5.81/6.08 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.81/6.08 | ~ c_lessequals(X0,X3,X2)
% 5.81/6.08 | ~ c_lessequals(X1,X4,X2)
% 5.81/6.08 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5584]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_346,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 5.81/6.08 | ~ c_lessequals(X3,X2,X0)
% 5.81/6.08 | ~ c_lessequals(X1,X4,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3013_2) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5580,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 5.81/6.08 | ~ c_lessequals(X3,X2,X0)
% 5.81/6.08 | ~ c_lessequals(X1,X4,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_346]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5581,plain,
% 5.81/6.08 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 5.81/6.08 | ~ c_lessequals(X0,X3,X2)
% 5.81/6.08 | ~ c_lessequals(X1,X4,X2)
% 5.81/6.08 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5580]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_344,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.08 | ~ c_lessequals(X4,X2,X0)
% 5.81/6.08 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3013_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5576,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.08 | ~ c_lessequals(X4,X2,X0)
% 5.81/6.08 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_344]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5577,plain,
% 5.81/6.08 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 5.81/6.08 | ~ c_lessequals(X1,X4,X2)
% 5.81/6.08 | ~ c_lessequals(X0,X3,X2)
% 5.81/6.08 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5576]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_338,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.08 | ~ c_lessequals(X2,X4,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3012_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5564,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.08 | ~ c_lessequals(X2,X4,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_338]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5565,plain,
% 5.81/6.08 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(X2,X3,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5564]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_332,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3011_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5552,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_332]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5553,plain,
% 5.81/6.08 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_lessequals(X2,X3,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5552]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_328,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3010_2) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5544,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_328]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5545,plain,
% 5.81/6.08 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5544]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_326,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3010_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5540,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.08 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_326]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5541,plain,
% 5.81/6.08 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.08 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 5.81/6.08 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5540]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_308,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.81/6.08 | ~ class_Int_Onumber__ring(X0)
% 5.81/6.08 | 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)) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3002_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5504,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.81/6.08 | ~ class_Int_Onumber__ring(X0)
% 5.81/6.08 | 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)) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_308]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5505,plain,
% 5.81/6.08 ( ~ class_Int_Onumber__ring(X0)
% 5.81/6.08 | ~ class_Ring__and__Field_Oidom(X0)
% 5.81/6.08 | 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)) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5504]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_303,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | 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)
% 5.81/6.08 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3000_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5494,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | 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)
% 5.81/6.08 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_303]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5495,plain,
% 5.81/6.08 ( 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)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5494]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_300,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | 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)
% 5.81/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2999_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5488,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | 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)
% 5.81/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_300]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5489,plain,
% 5.81/6.08 ( 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)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5488]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_283,plain,
% 5.81/6.08 ( ~ c_Type_Otyping(X0,X1,X2)
% 5.81/6.08 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
% 5.81/6.08 | c_Type_Otyping(X0,c_Lambda_Osubst(X4,X1,X3),X5) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2991_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5454,plain,
% 5.81/6.08 ( ~ c_Type_Otyping(X0,X1,X2)
% 5.81/6.08 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
% 5.81/6.08 | c_Type_Otyping(X0,c_Lambda_Osubst(X4,X1,X3),X5) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_283]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5455,plain,
% 5.81/6.08 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 5.81/6.08 | c_Type_Otyping(X0,c_Lambda_Osubst(X3,X5,X1),X4)
% 5.81/6.08 | ~ c_Type_Otyping(X0,X5,X2) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5454]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_280,plain,
% 5.81/6.08 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 5.81/6.08 | ~ c_Type_Otyping(X2,X3,X0)
% 5.81/6.08 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 5.81/6.08 | ~ c_InductTermi_OIT(X4)
% 5.81/6.08 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6)
% 5.81/6.08 | ~ c_InductTermi_OIT(X3) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2990_3) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5448,plain,
% 5.81/6.08 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 5.81/6.08 | ~ c_Type_Otyping(X2,X3,X0)
% 5.81/6.08 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 5.81/6.08 | ~ c_InductTermi_OIT(X4)
% 5.81/6.08 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6)
% 5.81/6.08 | ~ c_InductTermi_OIT(X3) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_280]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5449,plain,
% 5.81/6.08 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 5.81/6.08 | ~ c_Type_Otyping(X0,X5,X2)
% 5.81/6.08 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X5,X1))
% 5.81/6.08 | ~ c_InductTermi_OIT(X3)
% 5.81/6.08 | ~ c_InductTermi_OIT(X5)
% 5.81/6.08 | hAPP(hAPP(c_Type_Otype_OFun,X2),X6) != v_T____ ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5448]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_277,plain,
% 5.81/6.08 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 5.81/6.08 | ~ c_Type_Otyping(X2,X3,X0)
% 5.81/6.08 | ~ c_InductTermi_OIT(X3)
% 5.81/6.08 | ~ c_Type_Otyping(c_Type_Oshift(X2,X4,X0,tc_Type_Otype),X5,X6)
% 5.81/6.08 | ~ c_InductTermi_OIT(X5)
% 5.81/6.08 | c_InductTermi_OIT(c_Lambda_Osubst(X5,X3,X4)) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2990_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5442,plain,
% 5.81/6.08 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 5.81/6.08 | ~ c_Type_Otyping(X2,X3,X0)
% 5.81/6.08 | ~ c_InductTermi_OIT(X3)
% 5.81/6.08 | ~ c_Type_Otyping(c_Type_Oshift(X2,X4,X0,tc_Type_Otype),X5,X6)
% 5.81/6.08 | ~ c_InductTermi_OIT(X5)
% 5.81/6.08 | c_InductTermi_OIT(c_Lambda_Osubst(X5,X3,X4)) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_277]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5443,plain,
% 5.81/6.08 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 5.81/6.08 | ~ c_Type_Otyping(X0,X5,X2)
% 5.81/6.08 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X5,X1))
% 5.81/6.08 | ~ c_InductTermi_OIT(X5)
% 5.81/6.08 | ~ c_InductTermi_OIT(X3)
% 5.81/6.08 | hAPP(hAPP(c_Type_Otype_OFun,X2),X6) != v_T____ ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5442]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_274,plain,
% 5.81/6.08 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 5.81/6.08 | ~ c_Type_Otyping(X2,X3,X1)
% 5.81/6.08 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 5.81/6.08 | ~ c_InductTermi_OIT(X4)
% 5.81/6.08 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6)
% 5.81/6.08 | ~ c_InductTermi_OIT(X3) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2989_3) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5436,plain,
% 5.81/6.08 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 5.81/6.08 | ~ c_Type_Otyping(X2,X3,X1)
% 5.81/6.08 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 5.81/6.08 | ~ c_InductTermi_OIT(X4)
% 5.81/6.08 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6)
% 5.81/6.08 | ~ c_InductTermi_OIT(X3) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_274]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5437,plain,
% 5.81/6.08 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 5.81/6.08 | ~ c_Type_Otyping(X0,X5,X2)
% 5.81/6.08 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X5,X1))
% 5.81/6.08 | ~ c_InductTermi_OIT(X3)
% 5.81/6.08 | ~ c_InductTermi_OIT(X5)
% 5.81/6.08 | hAPP(hAPP(c_Type_Otype_OFun,X6),X2) != v_T____ ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5436]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_271,plain,
% 5.81/6.08 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 5.81/6.08 | ~ c_Type_Otyping(X2,X3,X1)
% 5.81/6.08 | ~ c_InductTermi_OIT(X3)
% 5.81/6.08 | ~ c_Type_Otyping(c_Type_Oshift(X2,X4,X1,tc_Type_Otype),X5,X6)
% 5.81/6.08 | ~ c_InductTermi_OIT(X5)
% 5.81/6.08 | c_InductTermi_OIT(c_Lambda_Osubst(X5,X3,X4)) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2989_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5430,plain,
% 5.81/6.08 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 5.81/6.08 | ~ c_Type_Otyping(X2,X3,X1)
% 5.81/6.08 | ~ c_InductTermi_OIT(X3)
% 5.81/6.08 | ~ c_Type_Otyping(c_Type_Oshift(X2,X4,X1,tc_Type_Otype),X5,X6)
% 5.81/6.08 | ~ c_InductTermi_OIT(X5)
% 5.81/6.08 | c_InductTermi_OIT(c_Lambda_Osubst(X5,X3,X4)) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_271]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5431,plain,
% 5.81/6.08 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 5.81/6.08 | ~ c_Type_Otyping(X0,X5,X2)
% 5.81/6.08 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X5,X1))
% 5.81/6.08 | ~ c_InductTermi_OIT(X5)
% 5.81/6.08 | ~ c_InductTermi_OIT(X3)
% 5.81/6.08 | hAPP(hAPP(c_Type_Otype_OFun,X6),X2) != v_T____ ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5430]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_256,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.81/6.08 | ~ class_Int_Onumber__ring(X0)
% 5.81/6.08 | 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))
% 5.81/6.08 | X1 = X3
% 5.81/6.08 | X2 = X4 ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2985_1) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5400,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.81/6.08 | ~ class_Int_Onumber__ring(X0)
% 5.81/6.08 | 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))
% 5.81/6.08 | X1 = X3
% 5.81/6.08 | X2 = X4 ),
% 5.81/6.08 inference(copy,[status(esa)],[c_256]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5401,plain,
% 5.81/6.08 ( ~ class_Int_Onumber__ring(X0)
% 5.81/6.08 | ~ class_Ring__and__Field_Oidom(X0)
% 5.81/6.08 | 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))
% 5.81/6.08 | X1 = X3
% 5.81/6.08 | X2 = X4 ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5400]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_255,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.81/6.08 | ~ class_Int_Onumber__ring(X0)
% 5.81/6.08 | 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))
% 5.81/6.08 | X2 = X4
% 5.81/6.08 | X1 = X3 ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2985_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5398,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.81/6.08 | ~ class_Int_Onumber__ring(X0)
% 5.81/6.08 | 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))
% 5.81/6.08 | X2 = X4
% 5.81/6.08 | X1 = X3 ),
% 5.81/6.08 inference(copy,[status(esa)],[c_255]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5399,plain,
% 5.81/6.08 ( ~ class_Int_Onumber__ring(X0)
% 5.81/6.08 | ~ class_Ring__and__Field_Oidom(X0)
% 5.81/6.08 | 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))
% 5.81/6.08 | X2 = X4
% 5.81/6.08 | X1 = X3 ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5398]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_246,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | ~ 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)
% 5.81/6.08 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2981_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5380,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | ~ 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)
% 5.81/6.08 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_246]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5381,plain,
% 5.81/6.08 ( ~ 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)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5380]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_243,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | ~ 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)
% 5.81/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2980_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5374,plain,
% 5.81/6.08 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | ~ 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)
% 5.81/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_243]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5375,plain,
% 5.81/6.08 ( ~ 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)
% 5.81/6.08 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.08 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5374]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_230,plain,
% 5.81/6.08 ( 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)
% 5.81/6.08 | ~ c_lessequals(X0,X3,tc_nat)
% 5.81/6.08 | 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) ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2975_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5348,plain,
% 5.81/6.08 ( 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)
% 5.81/6.08 | ~ c_lessequals(X0,X3,tc_nat)
% 5.81/6.08 | 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) ),
% 5.81/6.08 inference(copy,[status(esa)],[c_230]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5349,plain,
% 5.81/6.08 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.08 | 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)
% 5.81/6.08 | 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) ),
% 5.81/6.08 inference(rewriting,[status(thm)],[c_5348]) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_227,plain,
% 5.81/6.08 ( 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)
% 5.81/6.08 | ~ c_lessequals(X3,X0,tc_nat)
% 5.81/6.08 | 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 ),
% 5.81/6.08 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2974_0) ).
% 5.81/6.08
% 5.81/6.08 cnf(c_5342,plain,
% 5.81/6.08 ( 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)
% 5.81/6.09 | ~ c_lessequals(X3,X0,tc_nat)
% 5.81/6.09 | 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 ),
% 5.81/6.09 inference(copy,[status(esa)],[c_227]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_5343,plain,
% 5.81/6.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.09 | 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
% 5.81/6.09 | 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) ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_5342]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_183,plain,
% 5.81/6.09 ( ~ 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)
% 5.81/6.09 | ~ c_lessequals(X3,X0,tc_nat)
% 5.81/6.09 | 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) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2953_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_5254,plain,
% 5.81/6.09 ( ~ 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)
% 5.81/6.09 | ~ c_lessequals(X3,X0,tc_nat)
% 5.81/6.09 | 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) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_183]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_5255,plain,
% 5.81/6.09 ( 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)
% 5.81/6.09 | ~ 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)
% 5.81/6.09 | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_5254]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_180,plain,
% 5.81/6.09 ( ~ 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)
% 5.81/6.09 | ~ c_lessequals(X3,X0,tc_nat)
% 5.81/6.09 | 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) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2952_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_5248,plain,
% 5.81/6.09 ( ~ 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)
% 5.81/6.09 | ~ c_lessequals(X3,X0,tc_nat)
% 5.81/6.09 | 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) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_180]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_5249,plain,
% 5.81/6.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.09 | 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)
% 5.81/6.09 | ~ 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) ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_5248]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_177,plain,
% 5.81/6.09 ( ~ 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)
% 5.81/6.09 | ~ c_lessequals(X0,X3,tc_nat)
% 5.81/6.09 | 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) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2951_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_5242,plain,
% 5.81/6.09 ( ~ 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)
% 5.81/6.09 | ~ c_lessequals(X0,X3,tc_nat)
% 5.81/6.09 | 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) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_177]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_5243,plain,
% 5.81/6.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.09 | ~ 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)
% 5.81/6.09 | 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) ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_5242]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_165,plain,
% 5.81/6.09 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.09 | ~ 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)
% 5.81/6.09 | 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) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2947_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_5218,plain,
% 5.81/6.09 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.09 | ~ 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)
% 5.81/6.09 | 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) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_165]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_5219,plain,
% 5.81/6.09 ( ~ 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)
% 5.81/6.09 | 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)
% 5.81/6.09 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_5218]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_162,plain,
% 5.81/6.09 ( ~ 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)
% 5.81/6.09 | ~ c_lessequals(X2,X1,tc_nat)
% 5.81/6.09 | 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) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2946_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_5212,plain,
% 5.81/6.09 ( ~ 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)
% 5.81/6.09 | ~ c_lessequals(X2,X1,tc_nat)
% 5.81/6.09 | 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) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_162]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_5213,plain,
% 5.81/6.09 ( 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)
% 5.81/6.09 | ~ 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)
% 5.81/6.09 | ~ c_lessequals(X0,X3,tc_nat) ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_5212]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_156,plain,
% 5.81/6.09 ( ~ 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)
% 5.81/6.09 | ~ c_lessequals(X1,X0,tc_nat)
% 5.81/6.09 | 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) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2944_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_5200,plain,
% 5.81/6.09 ( ~ 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)
% 5.81/6.09 | ~ c_lessequals(X1,X0,tc_nat)
% 5.81/6.09 | 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) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_156]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_5201,plain,
% 5.81/6.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.09 | ~ 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)
% 5.81/6.09 | 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) ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_5200]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_153,plain,
% 5.81/6.09 ( ~ 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)
% 5.81/6.09 | ~ c_lessequals(X2,X1,tc_nat)
% 5.81/6.09 | 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) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2943_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_5194,plain,
% 5.81/6.09 ( ~ 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)
% 5.81/6.09 | ~ c_lessequals(X2,X1,tc_nat)
% 5.81/6.09 | 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) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_153]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_5195,plain,
% 5.81/6.09 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.09 | 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)
% 5.81/6.09 | ~ 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) ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_5194]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_144,plain,
% 5.81/6.09 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.09 | ~ 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)
% 5.81/6.09 | 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) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2940_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_5176,plain,
% 5.81/6.09 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.09 | ~ 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)
% 5.81/6.09 | 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) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_144]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_5177,plain,
% 5.81/6.09 ( ~ 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)
% 5.81/6.09 | 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)
% 5.81/6.09 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_5176]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_96,plain,
% 5.81/6.09 ( X0 = X1
% 5.81/6.09 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 5.81/6.09 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2917_2) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_5080,plain,
% 5.81/6.09 ( X0 = X1
% 5.81/6.09 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 5.81/6.09 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_96]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_5081,plain,
% 5.81/6.09 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.81/6.09 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 5.81/6.09 | X3 = X4 ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_5080]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_4,plain,
% 5.81/6.09 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.81/6.09 | ~ c_Type_Otypings(X0,X2,X4)
% 5.81/6.09 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X5,tc_Lambda_OdB,tc_Lambda_OdB),X6)
% 5.81/6.09 | c_Type_Otypings(X0,X5,c_Type_Osko__Type__Xvar__app__types__1__1(X6,X3,X0,X5)) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2873_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_4896,plain,
% 5.81/6.09 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.81/6.09 | ~ c_Type_Otypings(X0,X2,X4)
% 5.81/6.09 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X5,tc_Lambda_OdB,tc_Lambda_OdB),X6)
% 5.81/6.09 | c_Type_Otypings(X0,X5,c_Type_Osko__Type__Xvar__app__types__1__1(X6,X3,X0,X5)) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_4]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_4897,plain,
% 5.81/6.09 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.81/6.09 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
% 5.81/6.09 | c_Type_Otypings(X0,X4,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X3,X0,X4))
% 5.81/6.09 | ~ c_Type_Otypings(X0,X2,X6) ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_4896]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_0,plain,
% 5.81/6.09 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.81/6.09 | ~ c_Type_Otypings(X0,X2,X4)
% 5.81/6.09 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X5,tc_Lambda_OdB,tc_Lambda_OdB),X6)
% 5.81/6.09 | c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X6,X3,X0,X5),X6,tc_Type_Otype,tc_Type_Otype) = X3 ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2872_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_4888,plain,
% 5.81/6.09 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.81/6.09 | ~ c_Type_Otypings(X0,X2,X4)
% 5.81/6.09 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X5,tc_Lambda_OdB,tc_Lambda_OdB),X6)
% 5.81/6.09 | c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X6,X3,X0,X5),X6,tc_Type_Otype,tc_Type_Otype) = X3 ),
% 5.81/6.09 inference(copy,[status(esa)],[c_0]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_4889,plain,
% 5.81/6.09 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.81/6.09 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
% 5.81/6.09 | ~ c_Type_Otypings(X0,X2,X6)
% 5.81/6.09 | c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X3,X0,X4),X5,tc_Type_Otype,tc_Type_Otype) = X3 ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_4888]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2216,negated_conjecture,
% 5.81/6.09 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2664,negated_conjecture,
% 5.81/6.09 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2216]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2668,negated_conjecture,
% 5.81/6.09 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2664]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2669,negated_conjecture,
% 5.81/6.09 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2668]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2670,negated_conjecture,
% 5.81/6.09 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2669]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9210,negated_conjecture,
% 5.81/6.09 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2670]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2215,plain,
% 5.81/6.09 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_905_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9208,plain,
% 5.81/6.09 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2215]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2214,plain,
% 5.81/6.09 ( 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) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_906_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9206,plain,
% 5.81/6.09 ( 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) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2214]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2213,plain,
% 5.81/6.09 ( 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) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_907_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9204,plain,
% 5.81/6.09 ( 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) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2213]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2190,plain,
% 5.81/6.09 ( 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) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_890_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9180,plain,
% 5.81/6.09 ( 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) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2190]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2184,plain,
% 5.81/6.09 ( 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) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_896_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9173,plain,
% 5.81/6.09 ( 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) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2184]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2181,plain,
% 5.81/6.09 ( 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) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_899_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9169,plain,
% 5.81/6.09 ( 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) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2181]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2175,plain,
% 5.81/6.09 ( c_Type_Otype_OAtom(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_908_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9162,plain,
% 5.81/6.09 ( c_Type_Otype_OAtom(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2175]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2174,plain,
% 5.81/6.09 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != c_Type_Otype_OAtom(X2) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_909_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9160,plain,
% 5.81/6.09 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != c_Type_Otype_OAtom(X2) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2174]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2173,plain,
% 5.81/6.09 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_910_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9158,plain,
% 5.81/6.09 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2173]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2172,plain,
% 5.81/6.09 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_911_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9156,plain,
% 5.81/6.09 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2172]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2166,plain,
% 5.81/6.09 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_917_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9149,plain,
% 5.81/6.09 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2166]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2164,plain,
% 5.81/6.09 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_919_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9146,plain,
% 5.81/6.09 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2164]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2160,plain,
% 5.81/6.09 ( X0 != c_List_Olist_OCons(X1,X0,X2) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_923_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9141,plain,
% 5.81/6.09 ( X0 != c_List_Olist_OCons(X1,X0,X2) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2160]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2159,plain,
% 5.81/6.09 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_924_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9139,plain,
% 5.81/6.09 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2159]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2155,plain,
% 5.81/6.09 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_928_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9133,plain,
% 5.81/6.09 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2155]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2154,plain,
% 5.81/6.09 ( c_List_Olist_ONil(X0) != c_List_Olist_OCons(X1,X2,X0) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_929_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9131,plain,
% 5.81/6.09 ( c_List_Olist_ONil(X0) != c_List_Olist_OCons(X1,X2,X0) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2154]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2153,plain,
% 5.81/6.09 ( 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) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_930_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9129,plain,
% 5.81/6.09 ( 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) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2153]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2143,plain,
% 5.81/6.09 ( 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)) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_940_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9118,plain,
% 5.81/6.09 ( 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)) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2143]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2141,plain,
% 5.81/6.09 ( 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)) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_942_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9114,plain,
% 5.81/6.09 ( 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)) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2141]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2140,plain,
% 5.81/6.09 ( c_fequal(X0,X0,X1) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_943_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9112,plain,
% 5.81/6.09 ( c_fequal(X0,X0,X1) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2140]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2139,plain,
% 5.81/6.09 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_944_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9110,plain,
% 5.81/6.09 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2139]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2138,plain,
% 5.81/6.09 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_945_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9108,plain,
% 5.81/6.09 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2138]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2137,plain,
% 5.81/6.09 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_946_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9106,plain,
% 5.81/6.09 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2137]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2135,plain,
% 5.81/6.09 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_948_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9103,plain,
% 5.81/6.09 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2135]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2130,plain,
% 5.81/6.09 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_953_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9097,plain,
% 5.81/6.09 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2130]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2129,plain,
% 5.81/6.09 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_954_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9095,plain,
% 5.81/6.09 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2129]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2124,plain,
% 5.81/6.09 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_959_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9088,plain,
% 5.81/6.09 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2124]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2123,plain,
% 5.81/6.09 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_960_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9086,plain,
% 5.81/6.09 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2123]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2122,plain,
% 5.81/6.09 ( 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))) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_961_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9084,plain,
% 5.81/6.09 ( 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))) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2122]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2117,plain,
% 5.81/6.09 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_966_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9078,plain,
% 5.81/6.09 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2117]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2112,plain,
% 5.81/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_971_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9072,plain,
% 5.81/6.09 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2112]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2105,plain,
% 5.81/6.09 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_978_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9063,plain,
% 5.81/6.09 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2105]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2104,plain,
% 5.81/6.09 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_979_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9061,plain,
% 5.81/6.09 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2104]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2103,plain,
% 5.81/6.09 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_980_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9059,plain,
% 5.81/6.09 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2103]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2102,plain,
% 5.81/6.09 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_981_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9057,plain,
% 5.81/6.09 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2102]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2096,plain,
% 5.81/6.09 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_987_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9050,plain,
% 5.81/6.09 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2096]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2089,plain,
% 5.81/6.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_994_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9042,plain,
% 5.81/6.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2089]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2086,plain,
% 5.81/6.09 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_997_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9037,plain,
% 5.81/6.09 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2086]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2082,plain,
% 5.81/6.09 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1001_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9031,plain,
% 5.81/6.09 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2082]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2072,plain,
% 5.81/6.09 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1011_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9019,plain,
% 5.81/6.09 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2072]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2070,plain,
% 5.81/6.09 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat),tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1013_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9016,plain,
% 5.81/6.09 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat),tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2070]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2068,plain,
% 5.81/6.09 ( c_lessequals(X0,X0,tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1015_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9012,plain,
% 5.81/6.09 ( c_lessequals(X0,X0,tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2068]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2067,plain,
% 5.81/6.09 ( X0 != c_Suc(X0) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1016_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9010,plain,
% 5.81/6.09 ( X0 != c_Suc(X0) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2067]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2066,plain,
% 5.81/6.09 ( c_Suc(X0) != X0 ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1017_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9008,plain,
% 5.81/6.09 ( c_Suc(X0) != X0 ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2066]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2065,plain,
% 5.81/6.09 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1018_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9006,plain,
% 5.81/6.09 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2065]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2063,plain,
% 5.81/6.09 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1020_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9002,plain,
% 5.81/6.09 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2063]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2062,plain,
% 5.81/6.09 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1021_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_9000,plain,
% 5.81/6.09 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2062]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2060,plain,
% 5.81/6.09 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1023_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8997,plain,
% 5.81/6.09 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2060]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2057,plain,
% 5.81/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1026_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8992,plain,
% 5.81/6.09 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2057]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2055,plain,
% 5.81/6.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1028_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8988,plain,
% 5.81/6.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2055]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2054,plain,
% 5.81/6.09 ( class_Power_Opower(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1029_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8986,plain,
% 5.81/6.09 ( class_Power_Opower(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2054]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2053,plain,
% 5.81/6.09 ( class_Orderings_Obot(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1030_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8984,plain,
% 5.81/6.09 ( class_Orderings_Obot(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2053]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2052,plain,
% 5.81/6.09 ( class_Orderings_Oorder(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1031_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8982,plain,
% 5.81/6.09 ( class_Orderings_Oorder(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2052]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2051,plain,
% 5.81/6.09 ( class_Orderings_Olinorder(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1032_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8980,plain,
% 5.81/6.09 ( class_Orderings_Olinorder(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2051]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2050,plain,
% 5.81/6.09 ( class_Orderings_Opreorder(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1033_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8978,plain,
% 5.81/6.09 ( class_Orderings_Opreorder(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2050]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2049,plain,
% 5.81/6.09 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1034_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8976,plain,
% 5.81/6.09 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2049]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2048,plain,
% 5.81/6.09 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1035_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8974,plain,
% 5.81/6.09 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2048]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2047,plain,
% 5.81/6.09 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1036_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8972,plain,
% 5.81/6.09 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2047]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2046,plain,
% 5.81/6.09 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1037_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8970,plain,
% 5.81/6.09 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2046]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2045,plain,
% 5.81/6.09 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1038_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8968,plain,
% 5.81/6.09 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2045]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2044,plain,
% 5.81/6.09 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1039_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8966,plain,
% 5.81/6.09 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2044]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2043,plain,
% 5.81/6.09 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1040_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8964,plain,
% 5.81/6.09 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2043]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2042,plain,
% 5.81/6.09 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1041_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8962,plain,
% 5.81/6.09 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2042]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2041,plain,
% 5.81/6.09 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1042_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8960,plain,
% 5.81/6.09 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2041]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2040,plain,
% 5.81/6.09 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1043_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8958,plain,
% 5.81/6.09 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2040]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2039,plain,
% 5.81/6.09 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1044_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8956,plain,
% 5.81/6.09 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2039]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2038,plain,
% 5.81/6.09 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1045_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8954,plain,
% 5.81/6.09 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2038]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2037,plain,
% 5.81/6.09 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1046_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8952,plain,
% 5.81/6.09 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2037]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2036,plain,
% 5.81/6.09 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1047_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8950,plain,
% 5.81/6.09 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2036]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2035,plain,
% 5.81/6.09 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1048_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8948,plain,
% 5.81/6.09 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2035]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2034,plain,
% 5.81/6.09 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1049_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8946,plain,
% 5.81/6.09 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2034]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2033,plain,
% 5.81/6.09 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1050_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8944,plain,
% 5.81/6.09 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2033]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2032,plain,
% 5.81/6.09 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1051_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8942,plain,
% 5.81/6.09 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2032]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2031,plain,
% 5.81/6.09 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1052_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8940,plain,
% 5.81/6.09 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2031]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2030,plain,
% 5.81/6.09 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1053_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8938,plain,
% 5.81/6.09 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2030]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2029,plain,
% 5.81/6.09 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1054_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8936,plain,
% 5.81/6.09 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2029]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2028,plain,
% 5.81/6.09 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1055_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8934,plain,
% 5.81/6.09 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2028]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2027,plain,
% 5.81/6.09 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1056_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8932,plain,
% 5.81/6.09 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2027]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2026,plain,
% 5.81/6.09 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1057_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8930,plain,
% 5.81/6.09 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2026]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2025,plain,
% 5.81/6.09 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1058_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8928,plain,
% 5.81/6.09 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2025]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2024,plain,
% 5.81/6.09 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1059_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8926,plain,
% 5.81/6.09 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2024]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2023,plain,
% 5.81/6.09 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1060_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8924,plain,
% 5.81/6.09 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2023]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2022,plain,
% 5.81/6.09 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1061_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8922,plain,
% 5.81/6.09 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2022]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2021,plain,
% 5.81/6.09 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1062_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8920,plain,
% 5.81/6.09 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2021]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2020,plain,
% 5.81/6.09 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1063_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8918,plain,
% 5.81/6.09 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2020]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2019,plain,
% 5.81/6.09 ( 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))) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1064_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8916,plain,
% 5.81/6.09 ( 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))) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2019]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2015,plain,
% 5.81/6.09 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1068_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8909,plain,
% 5.81/6.09 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2015]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2013,plain,
% 5.81/6.09 ( c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1070_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8905,plain,
% 5.81/6.09 ( c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2013]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2008,plain,
% 5.81/6.09 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1075_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8899,plain,
% 5.81/6.09 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2008]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2007,plain,
% 5.81/6.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1076_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8897,plain,
% 5.81/6.09 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2007]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2006,plain,
% 5.81/6.09 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1077_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8895,plain,
% 5.81/6.09 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2006]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2005,plain,
% 5.81/6.09 ( c_InductTermi_OIT(v_u____) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1078_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8893,plain,
% 5.81/6.09 ( c_InductTermi_OIT(v_u____) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2005]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_2001,plain,
% 5.81/6.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_1082_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8888,plain,
% 5.81/6.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_2001]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1997,plain,
% 5.81/6.09 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3589_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8882,plain,
% 5.81/6.09 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1997]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1995,plain,
% 5.81/6.09 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3588_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8878,plain,
% 5.81/6.09 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1995]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1991,plain,
% 5.81/6.09 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3586_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8870,plain,
% 5.81/6.09 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1991]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1989,plain,
% 5.81/6.09 ( c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) | X0 = X1 ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3585_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8866,plain,
% 5.81/6.09 ( c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) | X0 = X1 ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1989]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1987,plain,
% 5.81/6.09 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3584_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8862,plain,
% 5.81/6.09 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1987]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8863,plain,
% 5.81/6.09 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_8862]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1985,plain,
% 5.81/6.09 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.81/6.09 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3583_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8858,plain,
% 5.81/6.09 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.81/6.09 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1985]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1983,plain,
% 5.81/6.09 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.09 | c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3582_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8854,plain,
% 5.81/6.09 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.09 | c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1983]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1981,plain,
% 5.81/6.09 ( ~ class_Orderings_Obot(X0) | class_Orderings_Obot(tc_fun(X1,X0)) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3581_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8850,plain,
% 5.81/6.09 ( ~ class_Orderings_Obot(X0) | class_Orderings_Obot(tc_fun(X1,X0)) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1981]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8851,plain,
% 5.81/6.09 ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_8850]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1979,plain,
% 5.81/6.09 ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oorder(tc_fun(X1,X0)) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3580_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8846,plain,
% 5.81/6.09 ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oorder(tc_fun(X1,X0)) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1979]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8847,plain,
% 5.81/6.09 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_8846]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1977,plain,
% 5.81/6.09 ( ~ class_Orderings_Opreorder(X0)
% 5.81/6.09 | class_Orderings_Opreorder(tc_fun(X1,X0)) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3579_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8842,plain,
% 5.81/6.09 ( ~ class_Orderings_Opreorder(X0)
% 5.81/6.09 | class_Orderings_Opreorder(tc_fun(X1,X0)) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1977]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8843,plain,
% 5.81/6.09 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 5.81/6.09 | ~ class_Orderings_Opreorder(X1) ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_8842]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1975,plain,
% 5.81/6.09 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3578_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8838,plain,
% 5.81/6.09 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1975]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8839,plain,
% 5.81/6.09 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_8838]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1973,plain,
% 5.81/6.09 ( ~ c_Lambda_Obeta(X0,X1)
% 5.81/6.09 | c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1)) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3577_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8834,plain,
% 5.81/6.09 ( ~ c_Lambda_Obeta(X0,X1)
% 5.81/6.09 | c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1)) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1973]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8835,plain,
% 5.81/6.09 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 5.81/6.09 | ~ c_Lambda_Obeta(X0,X1) ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_8834]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1970,plain,
% 5.81/6.09 ( ~ class_Nat_Osemiring__char__0(X0)
% 5.81/6.09 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 5.81/6.09 | X1 = X2 ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3576_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8828,plain,
% 5.81/6.09 ( ~ class_Nat_Osemiring__char__0(X0)
% 5.81/6.09 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 5.81/6.09 | X1 = X2 ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1970]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1968,plain,
% 5.81/6.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3575_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8824,plain,
% 5.81/6.09 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.09 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1968]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1966,plain,
% 5.81/6.09 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3574_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8820,plain,
% 5.81/6.09 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1966]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8821,plain,
% 5.81/6.09 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_8820]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1964,plain,
% 5.81/6.09 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3573_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8816,plain,
% 5.81/6.09 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1964]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8817,plain,
% 5.81/6.09 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_8816]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1962,plain,
% 5.81/6.09 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 5.81/6.09 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3572_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8812,plain,
% 5.81/6.09 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 5.81/6.09 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1962]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1960,plain,
% 5.81/6.09 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.09 | c_Orderings_Oord__class_Omax(X1,X1,X0) = X1 ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3571_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8808,plain,
% 5.81/6.09 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.09 | c_Orderings_Oord__class_Omax(X1,X1,X0) = X1 ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1960]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1958,plain,
% 5.81/6.09 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.09 | c_Orderings_Oord__class_Omin(X1,X1,X0) = X1 ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3570_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8804,plain,
% 5.81/6.09 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.09 | c_Orderings_Oord__class_Omin(X1,X1,X0) = X1 ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1958]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1956,plain,
% 5.81/6.09 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.81/6.09 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3569_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8800,plain,
% 5.81/6.09 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.81/6.09 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1956]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1952,plain,
% 5.81/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.81/6.09 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3567_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8792,plain,
% 5.81/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.81/6.09 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1952]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1950,plain,
% 5.81/6.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3566_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8788,plain,
% 5.81/6.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1950]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1948,plain,
% 5.81/6.09 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3565_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8784,plain,
% 5.81/6.09 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1948]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1946,plain,
% 5.81/6.09 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.81/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3564_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8780,plain,
% 5.81/6.09 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.81/6.09 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1946]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1944,plain,
% 5.81/6.09 ( ~ class_Orderings_Obot(X0)
% 5.81/6.09 | c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3563_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8776,plain,
% 5.81/6.09 ( ~ class_Orderings_Obot(X0)
% 5.81/6.09 | c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1944]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8777,plain,
% 5.81/6.09 ( c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0)
% 5.81/6.09 | ~ class_Orderings_Obot(X0) ),
% 5.81/6.09 inference(rewriting,[status(thm)],[c_8776]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1942,plain,
% 5.81/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.81/6.09 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3562_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8772,plain,
% 5.81/6.09 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.81/6.09 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1942]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1938,plain,
% 5.81/6.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.09 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3560_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8764,plain,
% 5.81/6.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.09 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1938]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1936,plain,
% 5.81/6.09 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.81/6.09 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3559_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8760,plain,
% 5.81/6.09 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.81/6.09 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1936]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1934,plain,
% 5.81/6.09 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.81/6.09 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3558_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8756,plain,
% 5.81/6.09 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.81/6.09 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1934]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1932,plain,
% 5.81/6.09 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 5.81/6.09 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3557_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8752,plain,
% 5.81/6.09 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 5.81/6.09 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1932]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1930,plain,
% 5.81/6.09 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 5.81/6.09 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.09 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3556_0) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_8748,plain,
% 5.81/6.09 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 5.81/6.09 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.09 inference(copy,[status(esa)],[c_1930]) ).
% 5.81/6.09
% 5.81/6.09 cnf(c_1928,plain,
% 5.81/6.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.09 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3555_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8744,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.10 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1928]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1924,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3553_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8736,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1924]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1922,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.81/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3552_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8732,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.81/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1922]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1920,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3551_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8728,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1920]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1910,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3547_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8708,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1910]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1908,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3546_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8704,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1908]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1906,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3545_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8700,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1906]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1904,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.81/6.10 | 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) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3544_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8696,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.81/6.10 | 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) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1904]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1895,plain,
% 5.81/6.10 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3541_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8678,plain,
% 5.81/6.10 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1895]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1893,plain,
% 5.81/6.10 ( ~ c_Lambda_Obeta(X0,X1)
% 5.81/6.10 | c_Lambda_Obeta(c_Lambda_Olift(X0,X2),c_Lambda_Olift(X1,X2)) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3540_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8674,plain,
% 5.81/6.10 ( ~ c_Lambda_Obeta(X0,X1)
% 5.81/6.10 | c_Lambda_Obeta(c_Lambda_Olift(X0,X2),c_Lambda_Olift(X1,X2)) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1893]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8675,plain,
% 5.81/6.10 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 5.81/6.10 | ~ c_Lambda_Obeta(X0,X2) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8674]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1888,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3538_1) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8664,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1888]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1887,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3538_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8662,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1887]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1885,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3537_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8658,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1885]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1881,plain,
% 5.81/6.10 ( c_List_Oappend(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil(X2) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3535_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8650,plain,
% 5.81/6.10 ( c_List_Oappend(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil(X2) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1881]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1877,plain,
% 5.81/6.10 ( c_List_Oappend(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil(X2) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3533_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8642,plain,
% 5.81/6.10 ( c_List_Oappend(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil(X2) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1877]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1875,plain,
% 5.81/6.10 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3532_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8638,plain,
% 5.81/6.10 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1875]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8639,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8638]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1873,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3531_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8634,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1873]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8635,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8634]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1871,plain,
% 5.81/6.10 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3530_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8630,plain,
% 5.81/6.10 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1871]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8631,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8630]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1867,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3528_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8622,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1867]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8623,plain,
% 5.81/6.10 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 5.81/6.10 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8622]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1865,plain,
% 5.81/6.10 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3527_1) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8618,plain,
% 5.81/6.10 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1865]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1864,plain,
% 5.81/6.10 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3527_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8616,plain,
% 5.81/6.10 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1864]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1862,plain,
% 5.81/6.10 ( ~ c_InductTermi_OIT(X0)
% 5.81/6.10 | c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3526_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8612,plain,
% 5.81/6.10 ( ~ c_InductTermi_OIT(X0)
% 5.81/6.10 | c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1862]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8613,plain,
% 5.81/6.10 ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1)))
% 5.81/6.10 | ~ c_InductTermi_OIT(X0) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8612]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1858,plain,
% 5.81/6.10 ( c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2)
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3524_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8604,plain,
% 5.81/6.10 ( c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2)
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1858]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1849,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3521_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8586,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1849]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8587,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8586]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1846,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3520_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8580,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1846]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1834,plain,
% 5.81/6.10 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 5.81/6.10 | X1 = c_List_Olist_ONil(X2) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3516_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8556,plain,
% 5.81/6.10 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 5.81/6.10 | X1 = c_List_Olist_ONil(X2) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1834]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1832,plain,
% 5.81/6.10 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 5.81/6.10 | X0 = c_List_Olist_ONil(X2) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3515_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8552,plain,
% 5.81/6.10 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 5.81/6.10 | X0 = c_List_Olist_ONil(X2) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1832]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1830,plain,
% 5.81/6.10 ( ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0)))
% 5.81/6.10 | hBOOL(hAPP(X0,X1)) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3514_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8548,plain,
% 5.81/6.10 ( ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0)))
% 5.81/6.10 | hBOOL(hAPP(X0,X1)) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1830]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1825,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3512_1) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8538,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1825]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1824,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3512_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8536,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1824]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1821,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.81/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3511_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8530,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.81/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1821]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1818,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.81/6.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X1 = X2 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3510_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8524,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.81/6.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X1 = X2 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1818]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1815,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.81/6.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X1 = X2 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3509_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8518,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.81/6.10 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X1 = X2 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1815]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1813,plain,
% 5.81/6.10 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3508_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8514,plain,
% 5.81/6.10 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1813]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1811,plain,
% 5.81/6.10 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3507_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8510,plain,
% 5.81/6.10 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.81/6.10 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1811]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1804,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 5.81/6.10 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3505_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8496,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 5.81/6.10 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1804]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1802,plain,
% 5.81/6.10 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3504_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8492,plain,
% 5.81/6.10 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1802]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1800,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3503_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8488,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1800]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1798,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.10 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3502_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8484,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.10 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1798]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1788,plain,
% 5.81/6.10 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 5.81/6.10 | X1 = X0 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3499_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8464,plain,
% 5.81/6.10 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 5.81/6.10 | X1 = X0 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1788]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1785,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.81/6.10 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3498_1) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8458,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.81/6.10 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1785]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1784,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.81/6.10 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3498_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8456,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.81/6.10 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1784]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1777,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.81/6.10 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3496_1) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8442,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.81/6.10 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1777]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1776,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.81/6.10 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3496_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8440,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.81/6.10 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.81/6.10 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1776]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1774,plain,
% 5.81/6.10 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3495_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8436,plain,
% 5.81/6.10 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1774]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1770,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.81/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3493_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8428,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.81/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1770]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1768,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3492_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8424,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1768]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1766,plain,
% 5.81/6.10 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3491_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8420,plain,
% 5.81/6.10 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1766]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1762,plain,
% 5.81/6.10 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3489_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8412,plain,
% 5.81/6.10 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1762]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1760,plain,
% 5.81/6.10 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 5.81/6.10 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3488_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8408,plain,
% 5.81/6.10 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 5.81/6.10 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1760]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1758,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_Orderings_Oord__class_Omax(X1,X2,X0) = c_Orderings_Oord__class_Omax(X2,X1,X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3487_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8404,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_Orderings_Oord__class_Omax(X1,X2,X0) = c_Orderings_Oord__class_Omax(X2,X1,X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1758]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1756,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_Orderings_Oord__class_Omin(X1,X2,X0) = c_Orderings_Oord__class_Omin(X2,X1,X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3486_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8400,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_Orderings_Oord__class_Omin(X1,X2,X0) = c_Orderings_Oord__class_Omin(X2,X1,X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1756]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1752,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.10 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3484_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8392,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.10 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1752]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1749,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_lessequals(X1,X2,X0)
% 5.81/6.10 | c_lessequals(X2,X1,X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3483_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8386,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_lessequals(X1,X2,X0)
% 5.81/6.10 | c_lessequals(X2,X1,X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1749]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8387,plain,
% 5.81/6.10 ( c_lessequals(X0,X1,X2)
% 5.81/6.10 | c_lessequals(X1,X0,X2)
% 5.81/6.10 | ~ class_Orderings_Olinorder(X2) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8386]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1740,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 5.81/6.10 | c_lessequals(X1,X1,X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3480_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8368,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 5.81/6.10 | c_lessequals(X1,X1,X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1740]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8369,plain,
% 5.81/6.10 ( c_lessequals(X0,X0,X1)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 5.81/6.10 | ~ class_Orderings_Olinorder(X1) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8368]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1737,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.10 | c_lessequals(X2,X1,X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3479_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8362,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.10 | c_lessequals(X2,X1,X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1737]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8363,plain,
% 5.81/6.10 ( c_lessequals(X0,X1,X2)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.81/6.10 | ~ class_Orderings_Olinorder(X2) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8362]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1735,plain,
% 5.81/6.10 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 5.81/6.10 | X1 = X3 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3478_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8358,plain,
% 5.81/6.10 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 5.81/6.10 | X1 = X3 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1735]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1733,plain,
% 5.81/6.10 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 5.81/6.10 | X0 = X2 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3477_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8354,plain,
% 5.81/6.10 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 5.81/6.10 | X0 = X2 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1733]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1731,plain,
% 5.81/6.10 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 5.81/6.10 | X0 = X2 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3476_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8350,plain,
% 5.81/6.10 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 5.81/6.10 | X0 = X2 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1731]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1729,plain,
% 5.81/6.10 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 5.81/6.10 | X1 = X3 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3475_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8346,plain,
% 5.81/6.10 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 5.81/6.10 | X1 = X3 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1729]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1704,plain,
% 5.81/6.10 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 5.81/6.10 | hBOOL(hAPP(X0,X1))
% 5.81/6.10 | hBOOL(hAPP(X0,X3)) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3468_1) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8296,plain,
% 5.81/6.10 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 5.81/6.10 | hBOOL(hAPP(X0,X1))
% 5.81/6.10 | hBOOL(hAPP(X0,X3)) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1704]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8297,plain,
% 5.81/6.10 ( hBOOL(hAPP(X0,X1))
% 5.81/6.10 | hBOOL(hAPP(X0,X2))
% 5.81/6.10 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8296]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1701,plain,
% 5.81/6.10 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 5.81/6.10 | hBOOL(hAPP(X0,X2))
% 5.81/6.10 | hBOOL(hAPP(X0,X3)) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3467_1) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8290,plain,
% 5.81/6.10 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 5.81/6.10 | hBOOL(hAPP(X0,X2))
% 5.81/6.10 | hBOOL(hAPP(X0,X3)) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1701]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8291,plain,
% 5.81/6.10 ( hBOOL(hAPP(X0,X1))
% 5.81/6.10 | hBOOL(hAPP(X0,X2))
% 5.81/6.10 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8290]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1686,plain,
% 5.81/6.10 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.10 | hBOOL(hAPP(X0,X1))
% 5.81/6.10 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0))) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3464_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8260,plain,
% 5.81/6.10 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.10 | hBOOL(hAPP(X0,X1))
% 5.81/6.10 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0))) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1686]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8261,plain,
% 5.81/6.10 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.10 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 5.81/6.10 | hBOOL(hAPP(X0,X1)) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8260]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1683,plain,
% 5.81/6.10 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.10 | hBOOL(hAPP(X0,X1))
% 5.81/6.10 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0))) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3463_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8254,plain,
% 5.81/6.10 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.10 | hBOOL(hAPP(X0,X1))
% 5.81/6.10 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0))) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1683]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8255,plain,
% 5.81/6.10 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.10 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 5.81/6.10 | hBOOL(hAPP(X0,X1)) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8254]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1680,plain,
% 5.81/6.10 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.10 | hBOOL(hAPP(X0,X1))
% 5.81/6.10 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0))) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3462_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8248,plain,
% 5.81/6.10 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.10 | hBOOL(hAPP(X0,X1))
% 5.81/6.10 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0))) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1680]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8249,plain,
% 5.81/6.10 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.10 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 5.81/6.10 | hBOOL(hAPP(X0,X1)) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8248]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1677,plain,
% 5.81/6.10 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.10 | hBOOL(hAPP(X0,X1))
% 5.81/6.10 | hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0))) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3461_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8242,plain,
% 5.81/6.10 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.10 | hBOOL(hAPP(X0,X1))
% 5.81/6.10 | hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0))) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1677]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8243,plain,
% 5.81/6.10 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.10 | hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 5.81/6.10 | hBOOL(hAPP(X0,X1)) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8242]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1675,plain,
% 5.81/6.10 ( ~ c_InductTermi_OIT(X0)
% 5.81/6.10 | c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2)) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3460_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8238,plain,
% 5.81/6.10 ( ~ c_InductTermi_OIT(X0)
% 5.81/6.10 | c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2)) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1675]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8239,plain,
% 5.81/6.10 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 5.81/6.10 | ~ c_InductTermi_OIT(X0) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8238]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1671,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3458_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8230,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1671]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8231,plain,
% 5.81/6.10 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8230]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1662,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.10 | X0 = X1 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3455_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8212,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.10 | X0 = X1 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1662]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1660,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.10 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3454_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8208,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.10 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1660]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1658,plain,
% 5.81/6.10 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | c_lessequals(X0,X1,tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3453_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8204,plain,
% 5.81/6.10 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | c_lessequals(X0,X1,tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1658]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8205,plain,
% 5.81/6.10 ( c_lessequals(X0,X1,tc_nat)
% 5.81/6.10 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8204]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1656,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3452_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8200,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1656]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8201,plain,
% 5.81/6.10 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8200]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1654,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,X1,tc_nat) | c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3451_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8196,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,X1,tc_nat) | c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1654]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8197,plain,
% 5.81/6.10 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8196]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1650,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.10 | c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3449_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8188,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.10 | c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1650]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8189,plain,
% 5.81/6.10 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8188]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1648,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,X0,tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3448_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8184,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,X0,tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1648]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1646,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3447_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8180,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1646]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1644,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3446_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8176,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1644]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8177,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.81/6.10 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8176]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1642,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3445_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8172,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1642]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1640,plain,
% 5.81/6.10 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3444_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8168,plain,
% 5.81/6.10 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1640]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1636,plain,
% 5.81/6.10 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3442_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8160,plain,
% 5.81/6.10 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1636]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1634,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.81/6.10 | c_lessequals(X0,X1,tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3441_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8156,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.81/6.10 | c_lessequals(X0,X1,tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1634]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8157,plain,
% 5.81/6.10 ( c_lessequals(X0,X1,tc_nat)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8156]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1630,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 5.81/6.10 | X0 = X2 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3439_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8148,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 5.81/6.10 | X0 = X2 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1630]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1628,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 5.81/6.10 | X1 = X2 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3438_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8144,plain,
% 5.81/6.10 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 5.81/6.10 | X1 = X2 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1628]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1625,plain,
% 5.81/6.10 ( ~ class_Orderings_Opreorder(X0)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.10 | c_lessequals(X1,X2,X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3437_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8138,plain,
% 5.81/6.10 ( ~ class_Orderings_Opreorder(X0)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.10 | c_lessequals(X1,X2,X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1625]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8139,plain,
% 5.81/6.10 ( c_lessequals(X0,X1,X2)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.81/6.10 | ~ class_Orderings_Opreorder(X2) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8138]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1622,plain,
% 5.81/6.10 ( ~ class_Orderings_Oorder(X0)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.10 | c_lessequals(X1,X2,X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3436_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8132,plain,
% 5.81/6.10 ( ~ class_Orderings_Oorder(X0)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.10 | c_lessequals(X1,X2,X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1622]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8133,plain,
% 5.81/6.10 ( c_lessequals(X0,X1,X2)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.81/6.10 | ~ class_Orderings_Oorder(X2) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8132]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1620,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.10 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3435_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8128,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.10 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1620]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1611,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.81/6.10 | X1 = X0
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3432_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8110,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.81/6.10 | X1 = X0
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1611]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8111,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.10 | X1 = X0 ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8110]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1608,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.81/6.10 | X0 = X1
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3431_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8104,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.81/6.10 | X0 = X1
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1608]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8105,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.10 | X0 = X1 ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8104]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1594,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.10 | c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3426_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8076,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.10 | c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1594]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8077,plain,
% 5.81/6.10 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 5.81/6.10 | ~ c_lessequals(X0,X1,tc_nat) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8076]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1590,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3424_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8068,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1590]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8069,plain,
% 5.81/6.10 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_8068]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1581,plain,
% 5.81/6.10 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.10 | hBOOL(hAPP(X0,X1))
% 5.81/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3421_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_8050,plain,
% 5.81/6.10 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.10 | hBOOL(hAPP(X0,X1))
% 5.81/6.10 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1581]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1546,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 5.81/6.10 | X0 = c_Suc(X1)
% 5.81/6.10 | c_lessequals(X0,X1,tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3412_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7980,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 5.81/6.10 | X0 = c_Suc(X1)
% 5.81/6.10 | c_lessequals(X0,X1,tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1546]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7981,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 5.81/6.10 | c_lessequals(X0,X1,tc_nat)
% 5.81/6.10 | X0 = c_Suc(X1) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_7980]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1541,plain,
% 5.81/6.10 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 5.81/6.10 | c_lessequals(X0,X1,tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3410_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7970,plain,
% 5.81/6.10 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 5.81/6.10 | c_lessequals(X0,X1,tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1541]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1539,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3409_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7966,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 5.81/6.10 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1539]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1537,plain,
% 5.81/6.10 ( ~ c_Lambda_Obeta(X0,X1)
% 5.81/6.10 | c_Type_Otyping(X2,X1,X3)
% 5.81/6.10 | ~ c_Type_Otyping(X2,X0,X3) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3408_1) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7962,plain,
% 5.81/6.10 ( ~ c_Lambda_Obeta(X0,X1)
% 5.81/6.10 | c_Type_Otyping(X2,X1,X3)
% 5.81/6.10 | ~ c_Type_Otyping(X2,X0,X3) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1537]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7963,plain,
% 5.81/6.10 ( c_Type_Otyping(X0,X1,X2)
% 5.81/6.10 | ~ c_Type_Otyping(X0,X3,X2)
% 5.81/6.10 | ~ c_Lambda_Obeta(X3,X1) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_7962]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1534,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.81/6.10 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3407_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7956,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.81/6.10 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1534]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1532,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X0),X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3406_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7952,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X0),X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1532]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7953,plain,
% 5.81/6.10 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X0,X2),X2)
% 5.81/6.10 | ~ class_Orderings_Olinorder(X2) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_7952]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1530,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3405_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7948,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1530]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7949,plain,
% 5.81/6.10 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2)
% 5.81/6.10 | ~ class_Orderings_Olinorder(X2) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_7948]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1528,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X2,X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3404_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7944,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X2,X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1528]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7945,plain,
% 5.81/6.10 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X1,X2)
% 5.81/6.10 | ~ class_Orderings_Olinorder(X2) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_7944]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1526,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X1,X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3403_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7940,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X1,X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1526]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7941,plain,
% 5.81/6.10 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X0,X2)
% 5.81/6.10 | ~ class_Orderings_Olinorder(X2) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_7940]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1524,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = X1 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3402_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7936,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = X1 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1524]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1522,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = X1 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3401_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7932,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = X1 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1522]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1519,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3400_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7926,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1519]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1513,plain,
% 5.81/6.10 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X1 = X2 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3398_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7914,plain,
% 5.81/6.10 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X1 = X2 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1513]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1510,plain,
% 5.81/6.10 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X0 = X2 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3397_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7908,plain,
% 5.81/6.10 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)
% 5.81/6.10 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X0 = X2 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1510]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1508,plain,
% 5.81/6.10 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 5.81/6.10 | X1 = X4 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3396_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7904,plain,
% 5.81/6.10 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 5.81/6.10 | X1 = X4 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1508]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1506,plain,
% 5.81/6.10 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 5.81/6.10 | X0 = X3 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3395_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7900,plain,
% 5.81/6.10 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 5.81/6.10 | X0 = X3 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1506]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1503,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 5.81/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 5.81/6.10 | X1 = X3 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3394_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7894,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 5.81/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 5.81/6.10 | X1 = X3 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1503]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1500,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 5.81/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.81/6.10 | X2 = X3 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3393_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7888,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 5.81/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.81/6.10 | X2 = X3 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1500]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1497,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 5.81/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.81/6.10 | X2 = X3 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3392_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7882,plain,
% 5.81/6.10 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 5.81/6.10 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.81/6.10 | X2 = X3 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1497]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1495,plain,
% 5.81/6.10 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2) | X0 = X3 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3391_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7878,plain,
% 5.81/6.10 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2) | X0 = X3 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1495]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1493,plain,
% 5.81/6.10 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X3,X1,X2) | X0 = X3 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3390_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7874,plain,
% 5.81/6.10 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X3,X1,X2) | X0 = X3 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1493]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1491,plain,
% 5.81/6.10 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X0,X3,X2) | X1 = X3 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3389_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7870,plain,
% 5.81/6.10 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X0,X3,X2) | X1 = X3 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1491]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1489,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3388_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7866,plain,
% 5.81/6.10 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.10 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1489]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7867,plain,
% 5.81/6.10 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 5.81/6.10 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_7866]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1486,plain,
% 5.81/6.10 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X1 = X0 ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3387_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7860,plain,
% 5.81/6.10 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X1 = X0 ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1486]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1484,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3386_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7856,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1484]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7857,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_7856]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1482,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3385_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7852,plain,
% 5.81/6.10 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1482]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7853,plain,
% 5.81/6.10 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_7852]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1479,plain,
% 5.81/6.10 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 5.81/6.10 | X1 = X4
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3384_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7846,plain,
% 5.81/6.10 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 5.81/6.10 | X1 = X4
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1479]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7847,plain,
% 5.81/6.10 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 5.81/6.10 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.10 | X1 = X4 ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_7846]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1470,plain,
% 5.81/6.10 ( ~ class_Orderings_Opreorder(X0)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3381_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7828,plain,
% 5.81/6.10 ( ~ class_Orderings_Opreorder(X0)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1470]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7829,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.81/6.10 | ~ class_Orderings_Opreorder(X2) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_7828]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1467,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3380_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7822,plain,
% 5.81/6.10 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.81/6.10 inference(copy,[status(esa)],[c_1467]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7823,plain,
% 5.81/6.10 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.81/6.10 | ~ class_Orderings_Olinorder(X2) ),
% 5.81/6.10 inference(rewriting,[status(thm)],[c_7822]) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_1464,plain,
% 5.81/6.10 ( ~ class_Orderings_Oorder(X0)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.81/6.10 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3379_0) ).
% 5.81/6.10
% 5.81/6.10 cnf(c_7816,plain,
% 5.81/6.10 ( ~ class_Orderings_Oorder(X0)
% 5.81/6.10 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1464]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7817,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.81/6.11 | ~ class_Orderings_Oorder(X2) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7816]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1455,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.11 | ~ c_lessequals(X2,X1,X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3376_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7798,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.11 | ~ c_lessequals(X2,X1,X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1455]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7799,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,X2)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.81/6.11 | ~ class_Orderings_Olinorder(X2) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7798]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1450,plain,
% 5.81/6.11 ( ~ c_Lambda_Obeta(X0,X1)
% 5.81/6.11 | c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3374_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7788,plain,
% 5.81/6.11 ( ~ c_Lambda_Obeta(X0,X1)
% 5.81/6.11 | c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1450]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7789,plain,
% 5.81/6.11 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 5.81/6.11 | ~ c_Lambda_Obeta(X0,X2) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7788]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1448,plain,
% 5.81/6.11 ( ~ c_Lambda_Obeta(X0,X1)
% 5.81/6.11 | c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3373_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7784,plain,
% 5.81/6.11 ( ~ c_Lambda_Obeta(X0,X1)
% 5.81/6.11 | c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1448]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7785,plain,
% 5.81/6.11 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 5.81/6.11 | ~ c_Lambda_Obeta(X1,X2) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7784]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1441,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.81/6.11 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 5.81/6.11 | X2 = X3 ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3371_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7770,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.81/6.11 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 5.81/6.11 | X2 = X3 ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1441]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1438,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.81/6.11 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 5.81/6.11 | X1 = X2 ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3370_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7764,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.81/6.11 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 5.81/6.11 | X1 = X2 ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1438]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1421,plain,
% 5.81/6.11 ( c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat)
% 5.81/6.11 | X1 = X2 ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3365_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7730,plain,
% 5.81/6.11 ( c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat)
% 5.81/6.11 | X1 = X2 ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1421]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1417,plain,
% 5.81/6.11 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.81/6.11 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.81/6.11 | X2 = X1
% 5.81/6.11 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3364_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7722,plain,
% 5.81/6.11 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.81/6.11 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.81/6.11 | X2 = X1
% 5.81/6.11 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1417]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7723,plain,
% 5.81/6.11 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.81/6.11 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.81/6.11 | X2 = X1 ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7722]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1414,plain,
% 5.81/6.11 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0))))
% 5.81/6.11 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.11 | hBOOL(hAPP(X0,X1)) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3363_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7716,plain,
% 5.81/6.11 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0))))
% 5.81/6.11 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.11 | hBOOL(hAPP(X0,X1)) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1414]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1411,plain,
% 5.81/6.11 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0))))
% 5.81/6.11 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.11 | hBOOL(hAPP(X0,X1)) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3362_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7710,plain,
% 5.81/6.11 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0))))
% 5.81/6.11 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.11 | hBOOL(hAPP(X0,X1)) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1411]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1408,plain,
% 5.81/6.11 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0))))
% 5.81/6.11 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.11 | hBOOL(hAPP(X0,X1)) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3361_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7704,plain,
% 5.81/6.11 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0))))
% 5.81/6.11 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.11 | hBOOL(hAPP(X0,X1)) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1408]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1405,plain,
% 5.81/6.11 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0))))
% 5.81/6.11 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.11 | hBOOL(hAPP(X0,X1)) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3360_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7698,plain,
% 5.81/6.11 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0))))
% 5.81/6.11 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.11 | hBOOL(hAPP(X0,X1)) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1405]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1402,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3359_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7692,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1402]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7693,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.81/6.11 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7692]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1399,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.11 | ~ c_lessequals(X1,X2,tc_nat)
% 5.81/6.11 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3358_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7686,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.11 | ~ c_lessequals(X1,X2,tc_nat)
% 5.81/6.11 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1399]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7687,plain,
% 5.81/6.11 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 5.81/6.11 | ~ c_lessequals(X0,X2,tc_nat)
% 5.81/6.11 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7686]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1396,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3357_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7680,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1396]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7681,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 5.81/6.11 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7680]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1390,plain,
% 5.81/6.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 5.81/6.11 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3355_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7668,plain,
% 5.81/6.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 5.81/6.11 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1390]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7669,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7668]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1388,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3354_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7664,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1388]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1383,plain,
% 5.81/6.11 ( c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | ~ c_lessequals(X0,X2,tc_nat)
% 5.81/6.11 | ~ c_lessequals(X2,X1,tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3352_2) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7654,plain,
% 5.81/6.11 ( c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | ~ c_lessequals(X0,X2,tc_nat)
% 5.81/6.11 | ~ c_lessequals(X2,X1,tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1383]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1382,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | c_lessequals(X2,X1,tc_nat)
% 5.81/6.11 | ~ c_lessequals(X2,X0,tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3352_1) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7652,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | c_lessequals(X2,X1,tc_nat)
% 5.81/6.11 | ~ c_lessequals(X2,X0,tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1382]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1381,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | ~ c_lessequals(X2,X0,tc_nat)
% 5.81/6.11 | c_lessequals(X2,X1,tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3352_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7650,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | ~ c_lessequals(X2,X0,tc_nat)
% 5.81/6.11 | c_lessequals(X2,X1,tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1381]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1379,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.11 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3351_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7646,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.11 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1379]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1377,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = c_Orderings_Oord__class_Omax(X1,X2,X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3350_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7642,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = c_Orderings_Oord__class_Omax(X1,X2,X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1377]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1375,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 5.81/6.11 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3349_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7638,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 5.81/6.11 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1375]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1373,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = c_Orderings_Oord__class_Omin(X1,X2,X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3348_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7634,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = c_Orderings_Oord__class_Omin(X1,X2,X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1373]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1372,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3347_2) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7632,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1372]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1360,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3342_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7608,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1360]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7609,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7608]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1358,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3341_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7604,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1358]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7605,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7604]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1356,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3340_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7600,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1356]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7601,plain,
% 5.81/6.11 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 5.81/6.11 | ~ c_lessequals(X0,X1,tc_nat) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7600]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1354,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3339_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7596,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1354]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7597,plain,
% 5.81/6.11 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 5.81/6.11 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7596]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1346,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3336_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7580,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1346]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1340,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3333_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7568,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1340]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1338,plain,
% 5.81/6.11 ( ~ class_Power_Opower(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3332_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7564,plain,
% 5.81/6.11 ( ~ class_Power_Opower(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1338]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1336,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3331_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7560,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1336]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1334,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3330_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7556,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1334]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1324,plain,
% 5.81/6.11 ( ~ class_Orderings_Opreorder(X0)
% 5.81/6.11 | c_lessequals(X1,X2,X0)
% 5.81/6.11 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.11 | ~ c_lessequals(X3,X2,X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3327_2) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7536,plain,
% 5.81/6.11 ( ~ class_Orderings_Opreorder(X0)
% 5.81/6.11 | c_lessequals(X1,X2,X0)
% 5.81/6.11 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.11 | ~ c_lessequals(X3,X2,X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1324]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7537,plain,
% 5.81/6.11 ( c_lessequals(X0,X1,X2)
% 5.81/6.11 | ~ c_lessequals(X0,X3,X2)
% 5.81/6.11 | ~ c_lessequals(X3,X1,X2)
% 5.81/6.11 | ~ class_Orderings_Opreorder(X2) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7536]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1312,plain,
% 5.81/6.11 ( ~ class_Orderings_Oorder(X0)
% 5.81/6.11 | c_lessequals(X1,X2,X0)
% 5.81/6.11 | ~ c_lessequals(X3,X2,X0)
% 5.81/6.11 | ~ c_lessequals(X1,X3,X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3324_2) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7512,plain,
% 5.81/6.11 ( ~ class_Orderings_Oorder(X0)
% 5.81/6.11 | c_lessequals(X1,X2,X0)
% 5.81/6.11 | ~ c_lessequals(X3,X2,X0)
% 5.81/6.11 | ~ c_lessequals(X1,X3,X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1312]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7513,plain,
% 5.81/6.11 ( c_lessequals(X0,X1,X2)
% 5.81/6.11 | ~ c_lessequals(X3,X1,X2)
% 5.81/6.11 | ~ c_lessequals(X0,X3,X2)
% 5.81/6.11 | ~ class_Orderings_Oorder(X2) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7512]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1308,plain,
% 5.81/6.11 ( ~ class_Orderings_Oorder(X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3323_2) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7504,plain,
% 5.81/6.11 ( ~ class_Orderings_Oorder(X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1308]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7505,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.81/6.11 | ~ class_Orderings_Oorder(X2) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7504]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1304,plain,
% 5.81/6.11 ( ~ class_Orderings_Opreorder(X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3322_2) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7496,plain,
% 5.81/6.11 ( ~ class_Orderings_Opreorder(X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1304]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7497,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.81/6.11 | ~ class_Orderings_Opreorder(X2) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7496]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1300,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1 ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3321_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7488,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1 ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1300]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1298,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3320_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7484,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1298]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7485,plain,
% 5.81/6.11 ( 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)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7484]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1296,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3319_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7480,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1296]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7481,plain,
% 5.81/6.11 ( 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)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7480]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1294,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3318_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7476,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1294]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7477,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7476]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1292,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3317_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7472,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1292]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1290,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3316_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7468,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1290]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1288,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3315_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7464,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1288]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7465,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7464]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1286,plain,
% 5.81/6.11 ( ~ c_Lambda_Obeta(X0,X1)
% 5.81/6.11 | c_Lambda_Obeta(c_Lambda_Osubst(X0,X2,X3),c_Lambda_Osubst(X1,X2,X3)) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3314_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7460,plain,
% 5.81/6.11 ( ~ c_Lambda_Obeta(X0,X1)
% 5.81/6.11 | c_Lambda_Obeta(c_Lambda_Osubst(X0,X2,X3),c_Lambda_Osubst(X1,X2,X3)) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1286]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7461,plain,
% 5.81/6.11 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 5.81/6.11 | ~ c_Lambda_Obeta(X0,X3) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7460]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1284,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3313_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7456,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1284]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1275,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.11 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3310_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7438,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.11 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1275]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7439,plain,
% 5.81/6.11 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 5.81/6.11 | ~ c_lessequals(X0,X1,X3)
% 5.81/6.11 | ~ class_Orderings_Olinorder(X3) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7438]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1272,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.11 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X3,X2,X0),X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3309_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7432,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.11 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X3,X2,X0),X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1272]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7433,plain,
% 5.81/6.11 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 5.81/6.11 | ~ c_lessequals(X0,X2,X3)
% 5.81/6.11 | ~ class_Orderings_Olinorder(X3) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7432]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1263,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X3,X1,X0),X2,X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3306_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7414,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X3,X1,X0),X2,X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1263]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7415,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.81/6.11 | ~ class_Orderings_Olinorder(X2) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7414]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1260,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3305_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7408,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1260]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7409,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.81/6.11 | ~ class_Orderings_Olinorder(X2) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7408]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1251,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X3,X2,X0),X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3302_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7390,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X3,X2,X0),X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1251]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7391,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 5.81/6.11 | ~ class_Orderings_Olinorder(X3) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7390]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1248,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3301_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7384,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1248]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7385,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 5.81/6.11 | ~ class_Orderings_Olinorder(X3) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7384]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1239,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.11 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3298_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7366,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.11 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1239]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7367,plain,
% 5.81/6.11 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 5.81/6.11 | ~ c_lessequals(X0,X3,X2)
% 5.81/6.11 | ~ class_Orderings_Olinorder(X2) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7366]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1236,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.11 | c_lessequals(c_Orderings_Oord__class_Omin(X3,X1,X0),X2,X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3297_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7360,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.11 | c_lessequals(c_Orderings_Oord__class_Omin(X3,X1,X0),X2,X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1236]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7361,plain,
% 5.81/6.11 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 5.81/6.11 | ~ c_lessequals(X1,X3,X2)
% 5.81/6.11 | ~ class_Orderings_Olinorder(X2) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7360]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1231,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3295_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7350,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1231]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1229,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3294_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7346,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1229]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1226,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3293_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7340,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1226]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7341,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.81/6.11 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7340]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1223,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.81/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.11 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3292_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7334,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.81/6.11 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.11 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1223]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7335,plain,
% 5.81/6.11 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.11 | ~ c_lessequals(X0,X1,X2)
% 5.81/6.11 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7334]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1220,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3291_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7328,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1220]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7329,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.11 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7328]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1217,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.81/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3290_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7322,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.81/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.11 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1217]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7323,plain,
% 5.81/6.11 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.11 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.11 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7322]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1214,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3289_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7316,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1214]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7317,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.11 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7316]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1211,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3288_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7310,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1211]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7311,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.11 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7310]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1208,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.81/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3287_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7304,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.81/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1208]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7305,plain,
% 5.81/6.11 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.81/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.11 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7304]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1206,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3286_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7300,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1206]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7301,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.81/6.11 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7300]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1203,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3285_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7294,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1203]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7295,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.11 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7294]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1200,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3284_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7288,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.81/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.11 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1200]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7289,plain,
% 5.81/6.11 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 5.81/6.11 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.11 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7288]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1198,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.81/6.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3283_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7284,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.81/6.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1198]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1196,plain,
% 5.81/6.11 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.81/6.11 | c_lessequals(X0,X2,tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3282_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7280,plain,
% 5.81/6.11 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.81/6.11 | c_lessequals(X0,X2,tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1196]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1194,plain,
% 5.81/6.11 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.81/6.11 | c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3281_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7276,plain,
% 5.81/6.11 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.81/6.11 | c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1194]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1192,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3280_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7272,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1192]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1190,plain,
% 5.81/6.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X0,X3,tc_nat)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3279_1) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7268,plain,
% 5.81/6.11 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X0,X3,tc_nat)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1190]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7269,plain,
% 5.81/6.11 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 5.81/6.11 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7268]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1173,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3275_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7234,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1173]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1171,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3274_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7230,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1171]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1169,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3273_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7226,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1169]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1163,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3271_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7214,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1163]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1161,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.11 | 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)) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3270_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7210,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.11 | 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)) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1161]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1159,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.81/6.11 | 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)) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3269_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7206,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.81/6.11 | 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)) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1159]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1157,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.81/6.11 | 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)) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3268_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7202,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.81/6.11 | 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)) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1157]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1119,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3255_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7126,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1119]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7127,plain,
% 5.81/6.11 ( 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)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7126]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1117,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3254_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7122,plain,
% 5.81/6.11 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1117]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7123,plain,
% 5.81/6.11 ( 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)
% 5.81/6.11 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7122]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1115,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3253_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7118,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1115]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7119,plain,
% 5.81/6.11 ( 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)
% 5.81/6.11 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7118]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1113,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3252_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7114,plain,
% 5.81/6.11 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1113]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7115,plain,
% 5.81/6.11 ( 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)
% 5.81/6.11 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.81/6.11 inference(rewriting,[status(thm)],[c_7114]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1111,plain,
% 5.81/6.11 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3251_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7110,plain,
% 5.81/6.11 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1111]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1109,plain,
% 5.81/6.11 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3250_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7106,plain,
% 5.81/6.11 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 5.81/6.11 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1109]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1070,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3238_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7028,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1070]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1068,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3237_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7024,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1068]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1064,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3235_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7016,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1064]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1060,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3233_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7008,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1060]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1058,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3232_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7004,plain,
% 5.81/6.11 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1058]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1056,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3231_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_7000,plain,
% 5.81/6.11 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1056]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1054,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3230_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_6996,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 inference(copy,[status(esa)],[c_1054]) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_1052,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.11 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3229_0) ).
% 5.81/6.11
% 5.81/6.11 cnf(c_6992,plain,
% 5.81/6.11 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.11 | 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) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_1052]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_1050,plain,
% 5.81/6.12 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.12 | 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) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3228_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6988,plain,
% 5.81/6.12 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.12 | 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) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_1050]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_1048,plain,
% 5.81/6.12 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.12 | 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) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3227_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6984,plain,
% 5.81/6.12 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.12 | 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) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_1048]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_1046,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.81/6.12 | 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) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3226_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6980,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.81/6.12 | 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) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_1046]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_1044,plain,
% 5.81/6.12 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.81/6.12 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3225_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6976,plain,
% 5.81/6.12 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.81/6.12 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_1044]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_1042,plain,
% 5.81/6.12 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.81/6.12 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3224_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6972,plain,
% 5.81/6.12 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.81/6.12 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_1042]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_1039,plain,
% 5.81/6.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3223_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6966,plain,
% 5.81/6.12 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_1039]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_1034,plain,
% 5.81/6.12 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3221_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6956,plain,
% 5.81/6.12 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_1034]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_1028,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X0) = X1 ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3219_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6944,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X0) = X1 ),
% 5.81/6.12 inference(copy,[status(esa)],[c_1028]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_1018,plain,
% 5.81/6.12 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.12 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.81/6.12 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.12 | ~ c_lessequals(X2,X3,X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3216_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6924,plain,
% 5.81/6.12 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.12 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.81/6.12 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.12 | ~ c_lessequals(X2,X3,X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_1018]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6925,plain,
% 5.81/6.12 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 5.81/6.12 | ~ c_lessequals(X0,X3,X2)
% 5.81/6.12 | ~ c_lessequals(X1,X3,X2)
% 5.81/6.12 | ~ class_Orderings_Olinorder(X2) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6924]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_1014,plain,
% 5.81/6.12 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.12 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3215_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6916,plain,
% 5.81/6.12 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.12 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_1014]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6917,plain,
% 5.81/6.12 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 5.81/6.12 | ~ class_Orderings_Olinorder(X3) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6916]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_1010,plain,
% 5.81/6.12 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3214_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6908,plain,
% 5.81/6.12 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_1010]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6909,plain,
% 5.81/6.12 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.81/6.12 | ~ class_Orderings_Olinorder(X2) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6908]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_998,plain,
% 5.81/6.12 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.12 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.81/6.12 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.12 | ~ c_lessequals(X1,X3,X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3211_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6884,plain,
% 5.81/6.12 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.12 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.81/6.12 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.12 | ~ c_lessequals(X1,X3,X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_998]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6885,plain,
% 5.81/6.12 ( c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 5.81/6.12 | ~ c_lessequals(X0,X1,X3)
% 5.81/6.12 | ~ c_lessequals(X0,X2,X3)
% 5.81/6.12 | ~ class_Orderings_Olinorder(X3) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6884]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_994,plain,
% 5.81/6.12 ( ~ 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)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3210_1) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6876,plain,
% 5.81/6.12 ( ~ 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)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_994]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_993,plain,
% 5.81/6.12 ( ~ 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)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3210_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6874,plain,
% 5.81/6.12 ( ~ 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)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_993]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_987,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3207_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6862,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_987]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6863,plain,
% 5.81/6.12 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 5.81/6.12 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6862]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_985,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3206_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6858,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_985]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6859,plain,
% 5.81/6.12 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 5.81/6.12 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6858]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_983,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3205_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6854,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_983]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6855,plain,
% 5.81/6.12 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.81/6.12 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6854]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_981,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3204_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6850,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_981]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6851,plain,
% 5.81/6.12 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 5.81/6.12 | ~ c_lessequals(X2,X1,tc_nat) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6850]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_974,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.12 | 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) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3202_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6836,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.12 | 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) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_974]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6837,plain,
% 5.81/6.12 ( 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)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.12 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6836]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_971,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.12 | 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) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3201_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6830,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.12 | 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) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_971]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6831,plain,
% 5.81/6.12 ( 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)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.12 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6830]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_968,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.12 | 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) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3200_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6824,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.12 | 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) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_968]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6825,plain,
% 5.81/6.12 ( 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)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.12 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6824]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_965,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.12 | 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) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3199_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6818,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.12 | 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) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_965]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6819,plain,
% 5.81/6.12 ( 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)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.12 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6818]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_962,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.81/6.12 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3198_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6812,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.81/6.12 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_962]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6813,plain,
% 5.81/6.12 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.81/6.12 | ~ c_lessequals(X2,X3,X0)
% 5.81/6.12 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6812]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_959,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.81/6.12 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3197_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6806,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.81/6.12 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_959]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6807,plain,
% 5.81/6.12 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 5.81/6.12 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.12 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6806]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_956,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.12 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3196_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6800,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.12 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_956]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6801,plain,
% 5.81/6.12 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.81/6.12 | ~ c_lessequals(X2,X3,X0)
% 5.81/6.12 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6800]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_953,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.12 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3195_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6794,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.12 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_953]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6795,plain,
% 5.81/6.12 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 5.81/6.12 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.12 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6794]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_931,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.81/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3190_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6750,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.81/6.12 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_931]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6751,plain,
% 5.81/6.12 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6750]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_927,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3189_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6742,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_927]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6743,plain,
% 5.81/6.12 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.12 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6742]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_907,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.81/6.12 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3184_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6702,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.81/6.12 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_907]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6703,plain,
% 5.81/6.12 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6702]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_903,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.81/6.12 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3183_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6694,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.81/6.12 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_903]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6695,plain,
% 5.81/6.12 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.12 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6694]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_898,plain,
% 5.81/6.12 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.81/6.12 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3182_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6684,plain,
% 5.81/6.12 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.81/6.12 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_898]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_895,plain,
% 5.81/6.12 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.81/6.12 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3181_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6678,plain,
% 5.81/6.12 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.81/6.12 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_895]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_893,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.12 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3180_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6674,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.12 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_893]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6675,plain,
% 5.81/6.12 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6674]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_885,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.12 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3178_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6658,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.12 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_885]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6659,plain,
% 5.81/6.12 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6658]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_881,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.12 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3177_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6650,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.12 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_881]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6651,plain,
% 5.81/6.12 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6650]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_877,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.12 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3176_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6642,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.12 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_877]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6643,plain,
% 5.81/6.12 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6642]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_873,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.81/6.12 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3175_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6634,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.81/6.12 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_873]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6635,plain,
% 5.81/6.12 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6634]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_863,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3173_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6614,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_863]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6615,plain,
% 5.81/6.12 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6614]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_859,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3172_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6606,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_859]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6607,plain,
% 5.81/6.12 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6606]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_843,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3168_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6574,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_843]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6575,plain,
% 5.81/6.12 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.81/6.12 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6574]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_839,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.81/6.12 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3167_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6566,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.81/6.12 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_839]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6567,plain,
% 5.81/6.12 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.81/6.12 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.12 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6566]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_831,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.12 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3165_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6550,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.12 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.12 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_831]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6551,plain,
% 5.81/6.12 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.12 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.81/6.12 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6550]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_829,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3164_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6546,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_829]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6547,plain,
% 5.81/6.12 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.12 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6546]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_825,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3163_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6538,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.81/6.12 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_825]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6539,plain,
% 5.81/6.12 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.81/6.12 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6538]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_821,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | 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) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3162_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6530,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | 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) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_821]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6531,plain,
% 5.81/6.12 ( 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)
% 5.81/6.12 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6530]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_819,plain,
% 5.81/6.12 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.12 | 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) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3161_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6526,plain,
% 5.81/6.12 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.12 | 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) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_819]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6527,plain,
% 5.81/6.12 ( 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)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6526]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_817,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 5.81/6.12 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3160_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6522,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 5.81/6.12 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 5.81/6.12 inference(copy,[status(esa)],[c_817]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_800,plain,
% 5.81/6.12 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.81/6.12 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.81/6.12 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3155_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6488,plain,
% 5.81/6.12 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.81/6.12 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.81/6.12 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_800]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_797,plain,
% 5.81/6.12 ( 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)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3154_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6482,plain,
% 5.81/6.12 ( 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)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_797]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_791,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | 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)) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3152_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6470,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | 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)) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_791]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_789,plain,
% 5.81/6.12 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.81/6.12 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3151_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6466,plain,
% 5.81/6.12 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.81/6.12 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_789]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_787,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 5.81/6.12 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3150_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6462,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 5.81/6.12 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_787]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6463,plain,
% 5.81/6.12 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 5.81/6.12 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6462]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_785,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | 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) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3149_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6458,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | 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) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_785]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_782,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.81/6.12 | 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)
% 5.81/6.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3148_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6452,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.81/6.12 | 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)
% 5.81/6.12 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 5.81/6.12 inference(copy,[status(esa)],[c_782]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_780,plain,
% 5.81/6.12 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 5.81/6.12 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3147_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6448,plain,
% 5.81/6.12 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 5.81/6.12 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_780]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6449,plain,
% 5.81/6.12 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6448]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_778,plain,
% 5.81/6.12 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 5.81/6.12 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3146_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6444,plain,
% 5.81/6.12 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 5.81/6.12 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_778]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_740,plain,
% 5.81/6.12 ( 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)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3136_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6368,plain,
% 5.81/6.12 ( 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)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_740]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_737,plain,
% 5.81/6.12 ( 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)
% 5.81/6.12 | ~ c_lessequals(X0,X2,tc_nat)
% 5.81/6.12 | ~ c_lessequals(X1,X3,tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3135_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6362,plain,
% 5.81/6.12 ( 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)
% 5.81/6.12 | ~ c_lessequals(X0,X2,tc_nat)
% 5.81/6.12 | ~ c_lessequals(X1,X3,tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_737]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_732,plain,
% 5.81/6.12 ( ~ c_Type_Otyping(X0,X1,X2)
% 5.81/6.12 | ~ c_Type_Otyping(X0,X3,hAPP(hAPP(c_Type_Otype_OFun,X2),X4))
% 5.81/6.12 | c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X4) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3134_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6352,plain,
% 5.81/6.12 ( ~ c_Type_Otyping(X0,X1,X2)
% 5.81/6.12 | ~ c_Type_Otyping(X0,X3,hAPP(hAPP(c_Type_Otype_OFun,X2),X4))
% 5.81/6.12 | c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X4) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_732]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6353,plain,
% 5.81/6.12 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 5.81/6.12 | ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3))
% 5.81/6.12 | ~ c_Type_Otyping(X0,X2,X4) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6352]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_726,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 5.81/6.12 | 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)) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3131_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6340,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 5.81/6.12 | 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)) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_726]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_724,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.81/6.12 | 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)) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3130_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6336,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.81/6.12 | 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)) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_724]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_722,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.12 | 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)) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3129_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6332,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.12 | 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)) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_722]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_720,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.12 | 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) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3128_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6328,plain,
% 5.81/6.12 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.12 | 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) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_720]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_718,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.81/6.12 | 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) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3127_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6324,plain,
% 5.81/6.12 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.81/6.12 | 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) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_718]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_716,plain,
% 5.81/6.12 ( ~ 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)
% 5.81/6.12 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3126_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6320,plain,
% 5.81/6.12 ( ~ 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)
% 5.81/6.12 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_716]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_714,plain,
% 5.81/6.12 ( ~ 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)
% 5.81/6.12 | c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3125_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6316,plain,
% 5.81/6.12 ( ~ 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)
% 5.81/6.12 | c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_714]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_712,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | c_lessequals(X2,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0,tc_nat),tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3124_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6312,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | c_lessequals(X2,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0,tc_nat),tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_712]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6313,plain,
% 5.81/6.12 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 5.81/6.12 | ~ c_lessequals(X2,X1,tc_nat) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6312]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_703,plain,
% 5.81/6.12 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 5.81/6.12 | ~ c_lessequals(X0,X2,tc_nat)
% 5.81/6.12 | ~ c_lessequals(X1,X3,tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3121_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6294,plain,
% 5.81/6.12 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 5.81/6.12 | ~ c_lessequals(X0,X2,tc_nat)
% 5.81/6.12 | ~ c_lessequals(X1,X3,tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_703]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_698,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.81/6.12 | 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) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3120_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6284,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.81/6.12 | 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) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_698]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6285,plain,
% 5.81/6.12 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.12 | 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)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.81/6.12 inference(rewriting,[status(thm)],[c_6284]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_697,plain,
% 5.81/6.12 ( 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)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3119_2) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6282,plain,
% 5.81/6.12 ( 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)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_697]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_683,plain,
% 5.81/6.12 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.81/6.12 | 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) ),
% 5.81/6.12 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3115_0) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6254,plain,
% 5.81/6.12 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.81/6.12 | 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) ),
% 5.81/6.12 inference(copy,[status(esa)],[c_683]) ).
% 5.81/6.12
% 5.81/6.12 cnf(c_6255,plain,
% 5.81/6.12 ( 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)
% 5.81/6.12 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_6254]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_680,plain,
% 5.81/6.13 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3114_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6248,plain,
% 5.81/6.13 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_680]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6249,plain,
% 5.81/6.13 ( 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)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_6248]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_675,plain,
% 5.81/6.13 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3112_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6238,plain,
% 5.81/6.13 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_675]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_673,plain,
% 5.81/6.13 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3111_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6234,plain,
% 5.81/6.13 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_673]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_671,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3110_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6230,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_671]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_669,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3109_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6226,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_669]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_667,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3108_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6222,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_667]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_665,plain,
% 5.81/6.13 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3107_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6218,plain,
% 5.81/6.13 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_665]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_663,plain,
% 5.81/6.13 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3106_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6214,plain,
% 5.81/6.13 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_663]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_661,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3105_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6210,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_661]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_651,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.81/6.13 | 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)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3102_2) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6190,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.81/6.13 | 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)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_651]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6191,plain,
% 5.81/6.13 ( 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)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.81/6.13 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_6190]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_647,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.81/6.13 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 5.81/6.13 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.13 | ~ c_lessequals(X2,X4,X0) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3101_2) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6182,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.81/6.13 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 5.81/6.13 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.13 | ~ c_lessequals(X2,X4,X0) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_647]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6183,plain,
% 5.81/6.13 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 5.81/6.13 | ~ c_lessequals(X1,X3,X0)
% 5.81/6.13 | ~ c_lessequals(X2,X4,X0)
% 5.81/6.13 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_6182]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_643,plain,
% 5.81/6.13 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 5.81/6.13 | 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 ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3100_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6174,plain,
% 5.81/6.13 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 5.81/6.13 | 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 ),
% 5.81/6.13 inference(copy,[status(esa)],[c_643]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_641,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3099_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6170,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_641]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_621,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.13 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3094_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6130,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.81/6.13 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_621]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6131,plain,
% 5.81/6.13 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.81/6.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_6130]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_629,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.81/6.13 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3096_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6146,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.81/6.13 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_629]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6147,plain,
% 5.81/6.13 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.81/6.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_6146]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_601,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.81/6.13 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3089_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6090,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.81/6.13 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_601]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6091,plain,
% 5.81/6.13 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.81/6.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_6090]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_597,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.13 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3088_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6082,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.81/6.13 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_597]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6083,plain,
% 5.81/6.13 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.81/6.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_6082]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_557,plain,
% 5.81/6.13 ( ~ 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)
% 5.81/6.13 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3078_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_6002,plain,
% 5.81/6.13 ( ~ 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)
% 5.81/6.13 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_557]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_555,plain,
% 5.81/6.13 ( ~ 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)
% 5.81/6.13 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3077_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5998,plain,
% 5.81/6.13 ( ~ 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)
% 5.81/6.13 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_555]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_553,plain,
% 5.81/6.13 ( ~ 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)
% 5.81/6.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3076_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5994,plain,
% 5.81/6.13 ( ~ 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)
% 5.81/6.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_553]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_551,plain,
% 5.81/6.13 ( ~ 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)
% 5.81/6.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3075_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5990,plain,
% 5.81/6.13 ( ~ 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)
% 5.81/6.13 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_551]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_548,plain,
% 5.81/6.13 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.81/6.13 | ~ c_lessequals(X1,X2,tc_nat)
% 5.81/6.13 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3074_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5984,plain,
% 5.81/6.13 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.81/6.13 | ~ c_lessequals(X1,X2,tc_nat)
% 5.81/6.13 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_548]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5985,plain,
% 5.81/6.13 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.81/6.13 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.81/6.13 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_5984]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_530,plain,
% 5.81/6.13 ( 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))
% 5.81/6.13 | X2 = X3
% 5.81/6.13 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3068_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5948,plain,
% 5.81/6.13 ( 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))
% 5.81/6.13 | X2 = X3
% 5.81/6.13 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_530]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5949,plain,
% 5.81/6.13 ( 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))
% 5.81/6.13 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.81/6.13 | X2 = X3 ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_5948]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_526,plain,
% 5.81/6.13 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3066_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5940,plain,
% 5.81/6.13 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_526]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_523,plain,
% 5.81/6.13 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.13 | ~ c_lessequals(X0,X2,tc_nat)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3065_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5934,plain,
% 5.81/6.13 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.13 | ~ c_lessequals(X0,X2,tc_nat)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_523]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_520,plain,
% 5.81/6.13 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.13 | ~ hBOOL(hAPP(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)))
% 5.81/6.13 | hBOOL(hAPP(X2,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3064_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5928,plain,
% 5.81/6.13 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.13 | ~ hBOOL(hAPP(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)))
% 5.81/6.13 | hBOOL(hAPP(X2,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_520]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5929,plain,
% 5.81/6.13 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.81/6.13 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_5928]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_517,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.81/6.13 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.13 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 5.81/6.13 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3063_1) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5922,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.81/6.13 | ~ c_lessequals(X1,X2,X0)
% 5.81/6.13 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 5.81/6.13 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_517]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5923,plain,
% 5.81/6.13 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 5.81/6.13 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 5.81/6.13 | ~ c_lessequals(X4,X3,X1)
% 5.81/6.13 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_5922]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_514,plain,
% 5.81/6.13 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3062_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5916,plain,
% 5.81/6.13 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_514]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_512,plain,
% 5.81/6.13 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3061_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5912,plain,
% 5.81/6.13 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_512]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_510,plain,
% 5.81/6.13 ( ~ 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)
% 5.81/6.13 | c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3060_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5908,plain,
% 5.81/6.13 ( ~ 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)
% 5.81/6.13 | c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_510]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_508,plain,
% 5.81/6.13 ( ~ 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)
% 5.81/6.13 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3059_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5904,plain,
% 5.81/6.13 ( ~ 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)
% 5.81/6.13 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_508]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_503,plain,
% 5.81/6.13 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.81/6.13 | ~ c_lessequals(X1,X0,tc_nat)
% 5.81/6.13 | ~ c_lessequals(X1,X2,tc_nat)
% 5.81/6.13 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3057_3) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5894,plain,
% 5.81/6.13 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.81/6.13 | ~ c_lessequals(X1,X0,tc_nat)
% 5.81/6.13 | ~ c_lessequals(X1,X2,tc_nat)
% 5.81/6.13 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_503]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_498,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3056_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5884,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_498]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_491,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3054_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5870,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_491]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_489,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3053_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5866,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_489]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_487,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3052_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5862,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_487]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_485,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3051_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5858,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_485]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_481,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3049_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5850,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_481]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_471,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3046_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5830,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_471]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_448,plain,
% 5.81/6.13 ( 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)
% 5.81/6.13 | X1 = X4 ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3040_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5784,plain,
% 5.81/6.13 ( 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)
% 5.81/6.13 | X1 = X4 ),
% 5.81/6.13 inference(copy,[status(esa)],[c_448]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_446,plain,
% 5.81/6.13 ( 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)
% 5.81/6.13 | X0 = X3 ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3039_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5780,plain,
% 5.81/6.13 ( 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)
% 5.81/6.13 | X0 = X3 ),
% 5.81/6.13 inference(copy,[status(esa)],[c_446]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_435,plain,
% 5.81/6.13 ( ~ 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)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.13 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3036_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5758,plain,
% 5.81/6.13 ( ~ 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)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.13 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_435]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_429,plain,
% 5.81/6.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.13 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 5.81/6.13 | c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3034_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5746,plain,
% 5.81/6.13 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.81/6.13 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 5.81/6.13 | c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_429]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5747,plain,
% 5.81/6.13 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 5.81/6.13 | c_lessequals(X1,X2,tc_nat)
% 5.81/6.13 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_5746]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_379,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | 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)
% 5.81/6.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3021_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5646,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | 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)
% 5.81/6.13 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_379]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_376,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | 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)
% 5.81/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3020_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5640,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | 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)
% 5.81/6.13 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_376]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_374,plain,
% 5.81/6.13 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.13 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3019_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5636,plain,
% 5.81/6.13 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.81/6.13 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_374]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_364,plain,
% 5.81/6.13 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.81/6.13 | c_lessequals(X0,X2,tc_nat)
% 5.81/6.13 | ~ c_lessequals(X1,X0,tc_nat)
% 5.81/6.13 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3016_2) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5616,plain,
% 5.81/6.13 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.81/6.13 | c_lessequals(X0,X2,tc_nat)
% 5.81/6.13 | ~ c_lessequals(X1,X0,tc_nat)
% 5.81/6.13 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_364]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_363,plain,
% 5.81/6.13 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.81/6.13 | ~ c_lessequals(X1,X2,tc_nat)
% 5.81/6.13 | c_lessequals(X0,X2,tc_nat)
% 5.81/6.13 | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3016_1) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5614,plain,
% 5.81/6.13 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.81/6.13 | ~ c_lessequals(X1,X2,tc_nat)
% 5.81/6.13 | c_lessequals(X0,X2,tc_nat)
% 5.81/6.13 | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_363]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_362,plain,
% 5.81/6.13 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.81/6.13 | ~ c_lessequals(X1,X2,tc_nat)
% 5.81/6.13 | ~ c_lessequals(X1,X0,tc_nat)
% 5.81/6.13 | c_lessequals(X0,X2,tc_nat) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3016_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5612,plain,
% 5.81/6.13 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.81/6.13 | ~ c_lessequals(X1,X2,tc_nat)
% 5.81/6.13 | ~ c_lessequals(X1,X0,tc_nat)
% 5.81/6.13 | c_lessequals(X0,X2,tc_nat) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_362]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_324,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3009_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5536,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_324]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_322,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3008_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5532,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_322]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_320,plain,
% 5.81/6.13 ( ~ c_Type_Otyping(X0,X1,X2)
% 5.81/6.13 | c_Type_Otyping(c_Type_Oshift(X0,X3,X4,tc_Type_Otype),c_Lambda_Olift(X1,X3),X2) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3007_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5528,plain,
% 5.81/6.13 ( ~ c_Type_Otyping(X0,X1,X2)
% 5.81/6.13 | c_Type_Otyping(c_Type_Oshift(X0,X3,X4,tc_Type_Otype),c_Lambda_Olift(X1,X3),X2) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_320]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5529,plain,
% 5.81/6.13 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
% 5.81/6.13 | ~ c_Type_Otyping(X0,X3,X4) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_5528]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_318,plain,
% 5.81/6.13 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 5.81/6.13 | 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)) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3006_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5524,plain,
% 5.81/6.13 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 5.81/6.13 | 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)) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_318]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5525,plain,
% 5.81/6.13 ( 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))
% 5.81/6.13 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_5524]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_316,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.13 | 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)) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3005_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5520,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.81/6.13 | 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)) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_316]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_314,plain,
% 5.81/6.13 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 5.81/6.13 | c_Type_Otyping(X0,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3004_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5516,plain,
% 5.81/6.13 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 5.81/6.13 | c_Type_Otyping(X0,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_314]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_306,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3001_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5500,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_306]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5501,plain,
% 5.81/6.13 ( 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)
% 5.81/6.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_5500]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_298,plain,
% 5.81/6.13 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2998_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5484,plain,
% 5.81/6.13 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_298]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5485,plain,
% 5.81/6.13 ( 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)
% 5.81/6.13 | ~ class_Orderings_Olinorder(X3) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_5484]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_296,plain,
% 5.81/6.13 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2997_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5480,plain,
% 5.81/6.13 ( ~ class_Orderings_Olinorder(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_296]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5481,plain,
% 5.81/6.13 ( 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)
% 5.81/6.13 | ~ class_Orderings_Olinorder(X2) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_5480]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_294,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2996_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5476,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_294]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5477,plain,
% 5.81/6.13 ( 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)
% 5.81/6.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_5476]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_292,plain,
% 5.81/6.13 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 5.81/6.13 | 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)) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2995_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5472,plain,
% 5.81/6.13 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 5.81/6.13 | 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)) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_292]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5473,plain,
% 5.81/6.13 ( 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))
% 5.81/6.13 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),X1) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_5472]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_288,plain,
% 5.81/6.13 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 5.81/6.13 | hBOOL(hAPP(X0,X2)) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2993_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5464,plain,
% 5.81/6.13 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 5.81/6.13 | hBOOL(hAPP(X0,X2)) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_288]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_286,plain,
% 5.81/6.13 ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 5.81/6.13 | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),hAPP(hAPP(c_Type_Otype_OFun,X1),X3)) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2992_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5460,plain,
% 5.81/6.13 ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 5.81/6.13 | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),hAPP(hAPP(c_Type_Otype_OFun,X1),X3)) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_286]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_266,plain,
% 5.81/6.13 ( 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))
% 5.81/6.13 | X0 = X2
% 5.81/6.13 | X1 = X3 ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2987_1) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5420,plain,
% 5.81/6.13 ( 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))
% 5.81/6.13 | X0 = X2
% 5.81/6.13 | X1 = X3 ),
% 5.81/6.13 inference(copy,[status(esa)],[c_266]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_265,plain,
% 5.81/6.13 ( 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))
% 5.81/6.13 | X1 = X3
% 5.81/6.13 | X0 = X2 ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2987_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5418,plain,
% 5.81/6.13 ( 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))
% 5.81/6.13 | X1 = X3
% 5.81/6.13 | X0 = X2 ),
% 5.81/6.13 inference(copy,[status(esa)],[c_265]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_253,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.13 | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Olistsum(X1,X0) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2984_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5394,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.13 | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Olistsum(X1,X0) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_253]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_251,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.13 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2983_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5390,plain,
% 5.81/6.13 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.13 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_251]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_249,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | ~ 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2982_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5386,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | ~ 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_249]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5387,plain,
% 5.81/6.13 ( ~ 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)
% 5.81/6.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_5386]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_241,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Osemiring(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2979_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5370,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Osemiring(X0)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_241]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_239,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | ~ 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2978_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5366,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.81/6.13 | ~ 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_239]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5367,plain,
% 5.81/6.13 ( ~ 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)
% 5.81/6.13 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_5366]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_236,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oring(X0)
% 5.81/6.13 | 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)
% 5.81/6.13 | 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 ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2977_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5360,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oring(X0)
% 5.81/6.13 | 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)
% 5.81/6.13 | 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 ),
% 5.81/6.13 inference(copy,[status(esa)],[c_236]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5361,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oring(X0)
% 5.81/6.13 | 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
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_5360]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_233,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oring(X0)
% 5.81/6.13 | 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)
% 5.81/6.13 | 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) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2976_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5354,plain,
% 5.81/6.13 ( ~ class_Ring__and__Field_Oring(X0)
% 5.81/6.13 | 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)
% 5.81/6.13 | 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) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_233]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_225,plain,
% 5.81/6.13 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
% 5.81/6.13 | hBOOL(hAPP(X0,X1)) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2973_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5338,plain,
% 5.81/6.13 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
% 5.81/6.13 | hBOOL(hAPP(X0,X1)) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_225]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_221,plain,
% 5.81/6.13 ( ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X2,c_Type_Otype_OAtom(X3),t_a)))
% 5.81/6.13 | hBOOL(hAPP(X0,hAPP(X1,X3))) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2971_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5330,plain,
% 5.81/6.13 ( ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X2,c_Type_Otype_OAtom(X3),t_a)))
% 5.81/6.13 | hBOOL(hAPP(X0,hAPP(X1,X3))) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_221]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5331,plain,
% 5.81/6.13 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 5.81/6.13 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X3,c_Type_Otype_OAtom(X2),t_a))) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_5330]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_217,plain,
% 5.81/6.13 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_Suc(X3),t_a)))
% 5.81/6.13 | hBOOL(hAPP(X0,hAPP(X2,X3))) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2969_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5322,plain,
% 5.81/6.13 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_Suc(X3),t_a)))
% 5.81/6.13 | hBOOL(hAPP(X0,hAPP(X2,X3))) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_217]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5323,plain,
% 5.81/6.13 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 5.81/6.13 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X3,X1,c_Suc(X2),t_a))) ),
% 5.81/6.13 inference(rewriting,[status(thm)],[c_5322]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_215,plain,
% 5.81/6.13 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 5.81/6.13 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2968_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5318,plain,
% 5.81/6.13 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 5.81/6.13 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 5.81/6.13 inference(copy,[status(esa)],[c_215]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_213,plain,
% 5.81/6.13 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 5.81/6.13 | c_Lambda_OdB_OVar(X0) = X1 ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2967_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5314,plain,
% 5.81/6.13 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 5.81/6.13 | c_Lambda_OdB_OVar(X0) = X1 ),
% 5.81/6.13 inference(copy,[status(esa)],[c_213]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_211,plain,
% 5.81/6.13 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 5.81/6.13 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 5.81/6.13 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2966_0) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_5310,plain,
% 5.81/6.13 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 5.81/6.13 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 5.81/6.13 inference(copy,[status(esa)],[c_211]) ).
% 5.81/6.13
% 5.81/6.13 cnf(c_207,plain,
% 5.81/6.14 ( ~ class_Ring__and__Field_Oring(X0)
% 5.81/6.14 | 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) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2964_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5302,plain,
% 5.81/6.14 ( ~ class_Ring__and__Field_Oring(X0)
% 5.81/6.14 | 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) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_207]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_203,plain,
% 5.81/6.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.14 | 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) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2962_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5294,plain,
% 5.81/6.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.14 | 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) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_203]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_199,plain,
% 5.81/6.14 ( ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),t_a)))
% 5.81/6.14 | hBOOL(hAPP(X0,hAPP(hAPP(X2,X3),X4))) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2960_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5286,plain,
% 5.81/6.14 ( ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),t_a)))
% 5.81/6.14 | hBOOL(hAPP(X0,hAPP(hAPP(X2,X3),X4))) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_199]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5287,plain,
% 5.81/6.14 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 5.81/6.14 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X4,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3),t_a))) ),
% 5.81/6.14 inference(rewriting,[status(thm)],[c_5286]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_197,plain,
% 5.81/6.14 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 5.81/6.14 | c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)),X3)) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2959_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5282,plain,
% 5.81/6.14 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 5.81/6.14 | c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)),X3)) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_197]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_195,plain,
% 5.81/6.14 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 5.81/6.14 | 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) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2958_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5278,plain,
% 5.81/6.14 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 5.81/6.14 | 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) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_195]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_193,plain,
% 5.81/6.14 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.14 | 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) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2957_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5274,plain,
% 5.81/6.14 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.14 | 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) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_193]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_191,plain,
% 5.81/6.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.14 | 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) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2956_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5270,plain,
% 5.81/6.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.14 | 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) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_191]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_189,plain,
% 5.81/6.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.14 | 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) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2955_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5266,plain,
% 5.81/6.14 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.81/6.14 | 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) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_189]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_186,plain,
% 5.81/6.14 ( ~ 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)
% 5.81/6.14 | ~ c_lessequals(X0,X3,tc_nat)
% 5.81/6.14 | 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) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2954_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5260,plain,
% 5.81/6.14 ( ~ 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)
% 5.81/6.14 | ~ c_lessequals(X0,X3,tc_nat)
% 5.81/6.14 | 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) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_186]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5261,plain,
% 5.81/6.14 ( ~ 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)
% 5.81/6.14 | 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)
% 5.81/6.14 | ~ c_lessequals(X0,X3,tc_nat) ),
% 5.81/6.14 inference(rewriting,[status(thm)],[c_5260]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_174,plain,
% 5.81/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.14 | ~ 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)
% 5.81/6.14 | 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) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2950_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5236,plain,
% 5.81/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.14 | ~ 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)
% 5.81/6.14 | 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) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_174]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5237,plain,
% 5.81/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.14 | 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)
% 5.81/6.14 | ~ 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) ),
% 5.81/6.14 inference(rewriting,[status(thm)],[c_5236]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_171,plain,
% 5.81/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.14 | ~ 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)
% 5.81/6.14 | 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) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2949_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5230,plain,
% 5.81/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.14 | ~ 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)
% 5.81/6.14 | 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) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_171]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_168,plain,
% 5.81/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.14 | ~ 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)
% 5.81/6.14 | 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) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2948_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5224,plain,
% 5.81/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.14 | ~ 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)
% 5.81/6.14 | 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) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_168]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5225,plain,
% 5.81/6.14 ( 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)
% 5.81/6.14 | ~ 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)
% 5.81/6.14 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.81/6.14 inference(rewriting,[status(thm)],[c_5224]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_159,plain,
% 5.81/6.14 ( ~ 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)
% 5.81/6.14 | ~ c_lessequals(X1,X0,tc_nat)
% 5.81/6.14 | 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) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2945_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5206,plain,
% 5.81/6.14 ( ~ 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)
% 5.81/6.14 | ~ c_lessequals(X1,X0,tc_nat)
% 5.81/6.14 | 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) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_159]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5207,plain,
% 5.81/6.14 ( ~ 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)
% 5.81/6.14 | 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)
% 5.81/6.14 | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.81/6.14 inference(rewriting,[status(thm)],[c_5206]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_150,plain,
% 5.81/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.14 | ~ 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)
% 5.81/6.14 | 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) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2942_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5188,plain,
% 5.81/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.14 | ~ 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)
% 5.81/6.14 | 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) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_150]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_147,plain,
% 5.81/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.14 | ~ 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)
% 5.81/6.14 | 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) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2941_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5182,plain,
% 5.81/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.14 | ~ 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)
% 5.81/6.14 | 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) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_147]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5183,plain,
% 5.81/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.14 | 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)
% 5.81/6.14 | ~ 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) ),
% 5.81/6.14 inference(rewriting,[status(thm)],[c_5182]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_141,plain,
% 5.81/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.14 | ~ 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)
% 5.81/6.14 | 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) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2939_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5170,plain,
% 5.81/6.14 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.81/6.14 | ~ 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)
% 5.81/6.14 | 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) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_141]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5171,plain,
% 5.81/6.14 ( 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)
% 5.81/6.14 | ~ 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)
% 5.81/6.14 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.81/6.14 inference(rewriting,[status(thm)],[c_5170]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_139,plain,
% 5.81/6.14 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.14 | 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) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2938_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5166,plain,
% 5.81/6.14 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.14 | 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) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_139]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_137,plain,
% 5.81/6.14 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.14 | 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) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2937_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5162,plain,
% 5.81/6.14 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.81/6.14 | 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) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_137]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_135,plain,
% 5.81/6.14 ( 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)
% 5.81/6.14 | X0 = X2 ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2936_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5158,plain,
% 5.81/6.14 ( 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)
% 5.81/6.14 | X0 = X2 ),
% 5.81/6.14 inference(copy,[status(esa)],[c_135]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_133,plain,
% 5.81/6.14 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 5.81/6.14 | 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)) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2935_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5154,plain,
% 5.81/6.14 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 5.81/6.14 | 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)) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_133]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_131,plain,
% 5.81/6.14 ( 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)
% 5.81/6.14 | X0 = X2 ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2934_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5150,plain,
% 5.81/6.14 ( 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)
% 5.81/6.14 | X0 = X2 ),
% 5.81/6.14 inference(copy,[status(esa)],[c_131]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_129,plain,
% 5.81/6.14 ( 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)
% 5.81/6.14 | X1 = X3 ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2933_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5146,plain,
% 5.81/6.14 ( 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)
% 5.81/6.14 | X1 = X3 ),
% 5.81/6.14 inference(copy,[status(esa)],[c_129]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_127,plain,
% 5.81/6.14 ( 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)
% 5.81/6.14 | X0 = X2 ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2932_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5142,plain,
% 5.81/6.14 ( 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)
% 5.81/6.14 | X0 = X2 ),
% 5.81/6.14 inference(copy,[status(esa)],[c_127]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_125,plain,
% 5.81/6.14 ( 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)
% 5.81/6.14 | X1 = X3 ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2931_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5138,plain,
% 5.81/6.14 ( 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)
% 5.81/6.14 | X1 = X3 ),
% 5.81/6.14 inference(copy,[status(esa)],[c_125]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_123,plain,
% 5.81/6.14 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.81/6.14 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2)) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2930_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5134,plain,
% 5.81/6.14 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.81/6.14 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2)) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_123]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_121,plain,
% 5.81/6.14 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.81/6.14 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X0,X1,X2)) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2929_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5130,plain,
% 5.81/6.14 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.81/6.14 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X0,X1,X2)) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_121]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_119,plain,
% 5.81/6.14 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.81/6.14 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X0,X1,X2)) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2928_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5126,plain,
% 5.81/6.14 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.81/6.14 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X0,X1,X2)) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_119]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_117,plain,
% 5.81/6.14 ( ~ c_Lambda_Obeta(X0,X1)
% 5.81/6.14 | 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)) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2927_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5122,plain,
% 5.81/6.14 ( ~ c_Lambda_Obeta(X0,X1)
% 5.81/6.14 | 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)) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_117]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5123,plain,
% 5.81/6.14 ( 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))
% 5.81/6.14 | ~ c_Lambda_Obeta(X0,X2) ),
% 5.81/6.14 inference(rewriting,[status(thm)],[c_5122]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_114,plain,
% 5.81/6.14 ( ~ c_Type_Otypings(X0,X1,X2)
% 5.81/6.14 | ~ c_Type_Otyping(X0,X3,c_List_Ofoldr(c_Type_Otype_OFun,X2,X4,tc_Type_Otype,tc_Type_Otype))
% 5.81/6.14 | c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 5.81/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2926_0) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5116,plain,
% 5.81/6.14 ( ~ c_Type_Otypings(X0,X1,X2)
% 5.81/6.14 | ~ c_Type_Otyping(X0,X3,c_List_Ofoldr(c_Type_Otype_OFun,X2,X4,tc_Type_Otype,tc_Type_Otype))
% 5.81/6.14 | c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 5.81/6.14 inference(copy,[status(esa)],[c_114]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_5117,plain,
% 5.81/6.14 ( c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.81/6.14 | ~ c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,X4,X3,tc_Type_Otype,tc_Type_Otype))
% 5.81/6.14 | ~ c_Type_Otypings(X0,X2,X4) ),
% 5.81/6.14 inference(rewriting,[status(thm)],[c_5116]) ).
% 5.81/6.14
% 5.81/6.14 cnf(c_111,plain,
% 5.81/6.14 ( ~ c_InductTermi_OIT(X0)
% 5.81/6.14 | ~ 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))
% 5.91/6.14 | 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)) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2925_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5110,plain,
% 5.91/6.14 ( ~ c_InductTermi_OIT(X0)
% 5.91/6.14 | ~ 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))
% 5.91/6.14 | 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)) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_111]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5111,plain,
% 5.91/6.14 ( 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))
% 5.91/6.14 | ~ 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))
% 5.91/6.14 | ~ c_InductTermi_OIT(X1) ),
% 5.91/6.14 inference(rewriting,[status(thm)],[c_5110]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_109,plain,
% 5.91/6.14 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.91/6.14 | 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)) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2924_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5106,plain,
% 5.91/6.14 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.91/6.14 | 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)) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_109]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_107,plain,
% 5.91/6.14 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.91/6.14 | 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)) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2923_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5102,plain,
% 5.91/6.14 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.91/6.14 | 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)) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_107]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_105,plain,
% 5.91/6.14 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.91/6.14 | c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X0,X1,X2),X3,tc_Type_Otype,tc_Type_Otype)) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2922_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5098,plain,
% 5.91/6.14 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.91/6.14 | c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X0,X1,X2),X3,tc_Type_Otype,tc_Type_Otype)) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_105]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5099,plain,
% 5.91/6.14 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 5.91/6.14 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 5.91/6.14 inference(rewriting,[status(thm)],[c_5098]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_101,plain,
% 5.91/6.14 ( ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X2,X3,c_Lambda_OdB_OVar(X4),t_a)))
% 5.91/6.14 | hBOOL(hAPP(X0,hAPP(X1,X4))) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2920_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5090,plain,
% 5.91/6.14 ( ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X2,X3,c_Lambda_OdB_OVar(X4),t_a)))
% 5.91/6.14 | hBOOL(hAPP(X0,hAPP(X1,X4))) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_101]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5091,plain,
% 5.91/6.14 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 5.91/6.14 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 5.91/6.14 inference(rewriting,[status(thm)],[c_5090]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_97,plain,
% 5.91/6.14 ( ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X2,X3,c_Lambda_OdB_OAbs(X4),t_a)))
% 5.91/6.14 | hBOOL(hAPP(X0,hAPP(X3,X4))) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2918_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5082,plain,
% 5.91/6.14 ( ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X2,X3,c_Lambda_OdB_OAbs(X4),t_a)))
% 5.91/6.14 | hBOOL(hAPP(X0,hAPP(X3,X4))) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_97]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5083,plain,
% 5.91/6.14 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 5.91/6.14 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 5.91/6.14 inference(rewriting,[status(thm)],[c_5082]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_94,plain,
% 5.91/6.14 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.91/6.14 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 5.91/6.14 | X4 = X3 ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2917_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5076,plain,
% 5.91/6.14 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.91/6.14 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 5.91/6.14 | X4 = X3 ),
% 5.91/6.14 inference(copy,[status(esa)],[c_94]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_90,plain,
% 5.91/6.14 ( ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X2,X3,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X5),t_a)))
% 5.91/6.14 | hBOOL(hAPP(X0,hAPP(hAPP(X2,X4),X5))) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2915_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5068,plain,
% 5.91/6.14 ( ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X2,X3,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X5),t_a)))
% 5.91/6.14 | hBOOL(hAPP(X0,hAPP(hAPP(X2,X4),X5))) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_90]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5069,plain,
% 5.91/6.14 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 5.91/6.14 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 5.91/6.14 inference(rewriting,[status(thm)],[c_5068]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_86,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2913_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5060,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 5.91/6.14 inference(copy,[status(esa)],[c_86]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_82,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2911_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5052,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 5.91/6.14 inference(copy,[status(esa)],[c_82]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_78,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2909_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5044,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 5.91/6.14 inference(copy,[status(esa)],[c_78]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_76,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2908_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5040,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 5.91/6.14 inference(copy,[status(esa)],[c_76]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_74,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2907_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5036,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 5.91/6.14 inference(copy,[status(esa)],[c_74]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_72,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2906_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5032,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 5.91/6.14 inference(copy,[status(esa)],[c_72]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_70,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2905_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5028,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 5.91/6.14 inference(copy,[status(esa)],[c_70]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_64,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2902_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5016,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_64]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_62,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2901_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5012,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_62]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_56,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2898_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_5000,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_56]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_54,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2897_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_4996,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_54]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_52,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2896_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_4992,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_52]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_50,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2895_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_4988,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_50]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_48,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2894_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_4984,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_48]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_46,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2893_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_4980,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_46]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_36,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2888_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_4960,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_36]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_34,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2887_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_4956,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_34]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_32,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X2,hAPP(hAPP(X2,X6),X7)),X8) = hAPP(hAPP(X2,X6),c_HOL_Otimes__class_Otimes(X7,X8,tc_nat)) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2886_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_4952,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X2,hAPP(hAPP(X2,X6),X7)),X8) = hAPP(hAPP(X2,X6),c_HOL_Otimes__class_Otimes(X7,X8,tc_nat)) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_32]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_30,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2885_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_4948,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_30]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_28,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2884_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_4944,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_28]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_26,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2883_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_4940,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_26]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_24,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2882_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_4936,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_24]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_22,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | 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)) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2881_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_4932,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | 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)) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_22]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_18,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2879_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_4924,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_18]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_16,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2878_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_4920,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_16]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_14,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | 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)) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2877_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_4916,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | 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)) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_14]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_12,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | 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))) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2876_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_4912,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | 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))) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_12]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_10,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | 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)) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2875_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_4908,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | 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)) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_10]) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_8,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | 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)) ),
% 5.91/6.14 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_2874_0) ).
% 5.91/6.14
% 5.91/6.14 cnf(c_4904,plain,
% 5.91/6.14 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.91/6.14 | 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)) ),
% 5.91/6.14 inference(copy,[status(esa)],[c_8]) ).
% 5.91/6.14
% 5.91/6.14
% 5.91/6.14
% 5.91/6.14 % ------ Statistics
% 5.91/6.14
% 5.91/6.14 % ------ General
% 5.91/6.14
% 5.91/6.14 % num_of_input_clauses: 2217
% 5.91/6.14 % num_of_input_neg_conjectures: 1
% 5.91/6.14 % num_of_splits: 0
% 5.91/6.14 % num_of_split_atoms: 0
% 5.91/6.14 % num_of_sem_filtered_clauses: 0
% 5.91/6.14 % num_of_subtypes: 0
% 5.91/6.14 % monotx_restored_types: 0
% 5.91/6.14 % sat_num_of_epr_types: 0
% 5.91/6.14 % sat_num_of_non_cyclic_types: 0
% 5.91/6.14 % sat_guarded_non_collapsed_types: 0
% 5.91/6.14 % is_epr: 0
% 5.91/6.14 % is_horn: 0
% 5.91/6.14 % has_eq: 1
% 5.91/6.14 % num_pure_diseq_elim: 0
% 5.91/6.15 % simp_replaced_by: 0
% 5.91/6.15 % res_preprocessed: 2
% 5.91/6.15 % prep_upred: 0
% 5.91/6.15 % prep_unflattend: 0
% 5.91/6.15 % pred_elim_cands: 0
% 5.91/6.15 % pred_elim: 0
% 5.91/6.15 % pred_elim_cl: 0
% 5.91/6.15 % pred_elim_cycles: 0
% 5.91/6.15 % forced_gc_time: 0
% 5.91/6.15 % gc_basic_clause_elim: 0
% 5.91/6.15 % parsing_time: 0.128
% 5.91/6.15 % sem_filter_time: 0.
% 5.91/6.15 % pred_elim_time: 0.
% 5.91/6.15 % out_proof_time: 0.
% 5.91/6.15 % monotx_time: 0.
% 5.91/6.15 % subtype_inf_time: 0.
% 5.91/6.15 % unif_index_cands_time: 0.
% 5.91/6.15 % unif_index_add_time: 0.001
% 5.91/6.15 % total_time: 5.536
% 5.91/6.15 % num_of_symbols: 152
% 5.91/6.15 % num_of_terms: 5985
% 5.91/6.15
% 5.91/6.15 % ------ Propositional Solver
% 5.91/6.15
% 5.91/6.15 % prop_solver_calls: 1
% 5.91/6.15 % prop_fast_solver_calls: 3
% 5.91/6.15 % prop_num_of_clauses: 1843
% 5.91/6.15 % prop_preprocess_simplified: 6919
% 5.91/6.15 % prop_fo_subsumed: 0
% 5.91/6.15 % prop_solver_time: 0.
% 5.91/6.15 % prop_fast_solver_time: 0.
% 5.91/6.15 % prop_unsat_core_time: 0.
% 5.91/6.15
% 5.91/6.15 % ------ QBF
% 5.91/6.15
% 5.91/6.15 % qbf_q_res: 0
% 5.91/6.15 % qbf_num_tautologies: 0
% 5.91/6.15 % qbf_prep_cycles: 0
% 5.91/6.15
% 5.91/6.15 % ------ BMC1
% 5.91/6.15
% 5.91/6.15 % bmc1_current_bound: -1
% 5.91/6.15 % bmc1_last_solved_bound: -1
% 5.91/6.15 % bmc1_unsat_core_size: -1
% 5.91/6.15 % bmc1_unsat_core_parents_size: -1
% 5.91/6.15 % bmc1_merge_next_fun: 0
% 5.91/6.15 % bmc1_unsat_core_clauses_time: 0.
% 5.91/6.15
% 5.91/6.15 % ------ Instantiation
% 5.91/6.15
% 5.91/6.15 % inst_num_of_clauses: 1930
% 5.91/6.15 % inst_num_in_passive: 0
% 5.91/6.15 % inst_num_in_active: 0
% 5.91/6.15 % inst_num_in_unprocessed: 2217
% 5.91/6.15 % inst_num_of_loops: 0
% 5.91/6.15 % inst_num_of_learning_restarts: 0
% 5.91/6.15 % inst_num_moves_active_passive: 0
% 5.91/6.15 % inst_lit_activity: 0
% 5.91/6.15 % inst_lit_activity_moves: 0
% 5.91/6.15 % inst_num_tautologies: 0
% 5.91/6.15 % inst_num_prop_implied: 0
% 5.91/6.15 % inst_num_existing_simplified: 0
% 5.91/6.15 % inst_num_eq_res_simplified: 0
% 5.91/6.15 % inst_num_child_elim: 0
% 5.91/6.15 % inst_num_of_dismatching_blockings: 0
% 5.91/6.15 % inst_num_of_non_proper_insts: 0
% 5.91/6.15 % inst_num_of_duplicates: 0
% 5.91/6.15 % inst_inst_num_from_inst_to_res: 0
% 5.91/6.15 % inst_dismatching_checking_time: 0.
% 5.91/6.15
% 5.91/6.15 % ------ Resolution
% 5.91/6.15
% 5.91/6.15 % res_num_of_clauses: 2177
% 5.91/6.15 % res_num_in_passive: 0
% 5.91/6.15 % res_num_in_active: 800
% 5.91/6.15 % res_num_of_loops: 3
% 5.91/6.15 % res_forward_subset_subsumed: 1303
% 5.91/6.15 % res_backward_subset_subsumed: 4
% 5.91/6.15 % res_forward_subsumed: 1
% 5.91/6.15 % res_backward_subsumed: 0
% 5.91/6.15 % res_forward_subsumption_resolution: 0
% 5.91/6.15 % res_backward_subsumption_resolution: 0
% 5.91/6.15 % res_clause_to_clause_subsumption: 1
% 5.91/6.15 % res_orphan_elimination: 0
% 5.91/6.15 % res_tautology_del: 0
% 5.91/6.15 % res_num_eq_res_simplified: 0
% 5.91/6.15 % res_num_sel_changes: 0
% 5.91/6.15 % res_moves_from_active_to_pass: 0
% 5.91/6.15
% 5.91/6.15 % Status Unknown
% 5.96/6.37 % Orienting using strategy ClausalAll
% 5.96/6.37 % Orientation found
% 5.96/6.37 % 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_a8b1ab.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_0623f6.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_a87a5a | grep -v "SZS"
% 5.96/6.40
% 5.96/6.40 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 5.96/6.40
% 5.96/6.40 %
% 5.96/6.40 % ------ iProver source info
% 5.96/6.40
% 5.96/6.40 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 5.96/6.40 % git: non_committed_changes: true
% 5.96/6.40 % git: last_make_outside_of_git: true
% 5.96/6.40
% 5.96/6.40 %
% 5.96/6.40 % ------ Input Options
% 5.96/6.40
% 5.96/6.40 % --out_options all
% 5.96/6.40 % --tptp_safe_out true
% 5.96/6.40 % --problem_path ""
% 5.96/6.40 % --include_path ""
% 5.96/6.40 % --clausifier .//eprover
% 5.96/6.40 % --clausifier_options --tstp-format
% 5.96/6.40 % --stdin false
% 5.96/6.40 % --dbg_backtrace false
% 5.96/6.40 % --dbg_dump_prop_clauses false
% 5.96/6.40 % --dbg_dump_prop_clauses_file -
% 5.96/6.40 % --dbg_out_stat false
% 5.96/6.40
% 5.96/6.40 % ------ General Options
% 5.96/6.40
% 5.96/6.40 % --fof false
% 5.96/6.40 % --time_out_real 150.
% 5.96/6.40 % --time_out_prep_mult 0.2
% 5.96/6.40 % --time_out_virtual -1.
% 5.96/6.40 % --schedule none
% 5.96/6.40 % --ground_splitting input
% 5.96/6.40 % --splitting_nvd 16
% 5.96/6.40 % --non_eq_to_eq false
% 5.96/6.40 % --prep_gs_sim true
% 5.96/6.40 % --prep_unflatten false
% 5.96/6.40 % --prep_res_sim true
% 5.96/6.40 % --prep_upred true
% 5.96/6.40 % --res_sim_input true
% 5.96/6.40 % --clause_weak_htbl true
% 5.96/6.40 % --gc_record_bc_elim false
% 5.96/6.40 % --symbol_type_check false
% 5.96/6.40 % --clausify_out false
% 5.96/6.40 % --large_theory_mode false
% 5.96/6.40 % --prep_sem_filter none
% 5.96/6.40 % --prep_sem_filter_out false
% 5.96/6.40 % --preprocessed_out false
% 5.96/6.40 % --sub_typing false
% 5.96/6.40 % --brand_transform false
% 5.96/6.40 % --pure_diseq_elim true
% 5.96/6.40 % --min_unsat_core false
% 5.96/6.40 % --pred_elim true
% 5.96/6.40 % --add_important_lit false
% 5.96/6.40 % --soft_assumptions false
% 5.96/6.40 % --reset_solvers false
% 5.96/6.40 % --bc_imp_inh []
% 5.96/6.40 % --conj_cone_tolerance 1.5
% 5.96/6.40 % --prolific_symb_bound 500
% 5.96/6.40 % --lt_threshold 2000
% 5.96/6.40
% 5.96/6.40 % ------ SAT Options
% 5.96/6.40
% 5.96/6.40 % --sat_mode false
% 5.96/6.40 % --sat_fm_restart_options ""
% 5.96/6.40 % --sat_gr_def false
% 5.96/6.40 % --sat_epr_types true
% 5.96/6.40 % --sat_non_cyclic_types false
% 5.96/6.40 % --sat_finite_models false
% 5.96/6.40 % --sat_fm_lemmas false
% 5.96/6.40 % --sat_fm_prep false
% 5.96/6.40 % --sat_fm_uc_incr true
% 5.96/6.40 % --sat_out_model small
% 5.96/6.40 % --sat_out_clauses false
% 5.96/6.40
% 5.96/6.40 % ------ QBF Options
% 5.96/6.40
% 5.96/6.40 % --qbf_mode false
% 5.96/6.40 % --qbf_elim_univ true
% 5.96/6.40 % --qbf_sk_in true
% 5.96/6.40 % --qbf_pred_elim true
% 5.96/6.40 % --qbf_split 32
% 5.96/6.40
% 5.96/6.40 % ------ BMC1 Options
% 5.96/6.40
% 5.96/6.40 % --bmc1_incremental false
% 5.96/6.40 % --bmc1_axioms reachable_all
% 5.96/6.40 % --bmc1_min_bound 0
% 5.96/6.40 % --bmc1_max_bound -1
% 5.96/6.40 % --bmc1_max_bound_default -1
% 5.96/6.40 % --bmc1_symbol_reachability true
% 5.96/6.40 % --bmc1_property_lemmas false
% 5.96/6.40 % --bmc1_k_induction false
% 5.96/6.40 % --bmc1_non_equiv_states false
% 5.96/6.40 % --bmc1_deadlock false
% 5.96/6.40 % --bmc1_ucm false
% 5.96/6.40 % --bmc1_add_unsat_core none
% 5.96/6.40 % --bmc1_unsat_core_children false
% 5.96/6.40 % --bmc1_unsat_core_extrapolate_axioms false
% 5.96/6.40 % --bmc1_out_stat full
% 5.96/6.40 % --bmc1_ground_init false
% 5.96/6.40 % --bmc1_pre_inst_next_state false
% 5.96/6.40 % --bmc1_pre_inst_state false
% 5.96/6.40 % --bmc1_pre_inst_reach_state false
% 5.96/6.40 % --bmc1_out_unsat_core false
% 5.96/6.40 % --bmc1_aig_witness_out false
% 5.96/6.40 % --bmc1_verbose false
% 5.96/6.40 % --bmc1_dump_clauses_tptp false
% 11.49/11.70 % --bmc1_dump_unsat_core_tptp false
% 11.49/11.70 % --bmc1_dump_file -
% 11.49/11.70 % --bmc1_ucm_expand_uc_limit 128
% 11.49/11.70 % --bmc1_ucm_n_expand_iterations 6
% 11.49/11.70 % --bmc1_ucm_extend_mode 1
% 11.49/11.70 % --bmc1_ucm_init_mode 2
% 11.49/11.70 % --bmc1_ucm_cone_mode none
% 11.49/11.70 % --bmc1_ucm_reduced_relation_type 0
% 11.49/11.70 % --bmc1_ucm_relax_model 4
% 11.49/11.70 % --bmc1_ucm_full_tr_after_sat true
% 11.49/11.70 % --bmc1_ucm_expand_neg_assumptions false
% 11.49/11.70 % --bmc1_ucm_layered_model none
% 11.49/11.70 % --bmc1_ucm_max_lemma_size 10
% 11.49/11.70
% 11.49/11.70 % ------ AIG Options
% 11.49/11.70
% 11.49/11.70 % --aig_mode false
% 11.49/11.70
% 11.49/11.70 % ------ Instantiation Options
% 11.49/11.70
% 11.49/11.70 % --instantiation_flag true
% 11.49/11.70 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 11.49/11.70 % --inst_solver_per_active 750
% 11.49/11.70 % --inst_solver_calls_frac 0.5
% 11.49/11.70 % --inst_passive_queue_type priority_queues
% 11.49/11.70 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 11.49/11.70 % --inst_passive_queues_freq [25;2]
% 11.49/11.70 % --inst_dismatching true
% 11.49/11.70 % --inst_eager_unprocessed_to_passive true
% 11.49/11.70 % --inst_prop_sim_given true
% 11.49/11.70 % --inst_prop_sim_new false
% 11.49/11.70 % --inst_orphan_elimination true
% 11.49/11.70 % --inst_learning_loop_flag true
% 11.49/11.70 % --inst_learning_start 3000
% 11.49/11.70 % --inst_learning_factor 2
% 11.49/11.70 % --inst_start_prop_sim_after_learn 3
% 11.49/11.70 % --inst_sel_renew solver
% 11.49/11.70 % --inst_lit_activity_flag true
% 11.49/11.70 % --inst_out_proof true
% 11.49/11.70
% 11.49/11.70 % ------ Resolution Options
% 11.49/11.70
% 11.49/11.70 % --resolution_flag true
% 11.49/11.70 % --res_lit_sel kbo_max
% 11.49/11.70 % --res_to_prop_solver none
% 11.49/11.70 % --res_prop_simpl_new false
% 11.49/11.70 % --res_prop_simpl_given false
% 11.49/11.70 % --res_passive_queue_type priority_queues
% 11.49/11.70 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 11.49/11.70 % --res_passive_queues_freq [15;5]
% 11.49/11.70 % --res_forward_subs full
% 11.49/11.70 % --res_backward_subs full
% 11.49/11.70 % --res_forward_subs_resolution true
% 11.49/11.70 % --res_backward_subs_resolution true
% 11.49/11.70 % --res_orphan_elimination false
% 11.49/11.70 % --res_time_limit 1000.
% 11.49/11.70 % --res_out_proof true
% 11.49/11.70 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_a8b1ab.s
% 11.49/11.70 % --modulo true
% 11.49/11.70
% 11.49/11.70 % ------ Combination Options
% 11.49/11.70
% 11.49/11.70 % --comb_res_mult 1000
% 11.49/11.70 % --comb_inst_mult 300
% 11.49/11.70 % ------
% 11.49/11.70
% 11.49/11.70 % ------ Parsing...% successful
% 11.49/11.70
% 11.49/11.70 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 11.49/11.70
% 11.49/11.70 % ------ Proving...
% 11.49/11.70 % ------ Problem Properties
% 11.49/11.70
% 11.49/11.70 %
% 11.49/11.70 % EPR false
% 11.49/11.70 % Horn false
% 11.49/11.70 % Has equality true
% 11.49/11.70
% 11.49/11.70 % % ------ Input Options Time Limit: Unbounded
% 11.49/11.70
% 11.49/11.70
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 Compiling...
% 11.49/11.70 Loading plugin: done.
% 11.49/11.70 % % ------ Current options:
% 11.49/11.70
% 11.49/11.70 % ------ Input Options
% 11.49/11.70
% 11.49/11.70 % --out_options all
% 11.49/11.70 % --tptp_safe_out true
% 11.49/11.70 % --problem_path ""
% 11.49/11.70 % --include_path ""
% 11.49/11.70 % --clausifier .//eprover
% 11.49/11.70 % --clausifier_options --tstp-format
% 11.49/11.70 % --stdin false
% 11.49/11.70 % --dbg_backtrace false
% 11.49/11.70 % --dbg_dump_prop_clauses false
% 11.49/11.70 % --dbg_dump_prop_clauses_file -
% 11.49/11.70 % --dbg_out_stat false
% 11.49/11.70
% 11.49/11.70 % ------ General Options
% 11.49/11.70
% 11.49/11.70 % --fof false
% 11.49/11.70 % --time_out_real 150.
% 11.49/11.70 % --time_out_prep_mult 0.2
% 11.49/11.70 % --time_out_virtual -1.
% 11.49/11.70 % --schedule none
% 11.49/11.70 % --ground_splitting input
% 11.49/11.70 % --splitting_nvd 16
% 11.49/11.70 % --non_eq_to_eq false
% 11.49/11.70 % --prep_gs_sim true
% 11.49/11.70 % --prep_unflatten false
% 11.49/11.70 % --prep_res_sim true
% 11.49/11.70 % --prep_upred true
% 11.49/11.70 % --res_sim_input true
% 11.49/11.70 % --clause_weak_htbl true
% 11.49/11.70 % --gc_record_bc_elim false
% 11.49/11.70 % --symbol_type_check false
% 11.49/11.70 % --clausify_out false
% 11.49/11.70 % --large_theory_mode false
% 11.49/11.70 % --prep_sem_filter none
% 11.49/11.70 % --prep_sem_filter_out false
% 11.49/11.70 % --preprocessed_out false
% 11.49/11.70 % --sub_typing false
% 11.49/11.70 % --brand_transform false
% 11.49/11.70 % --pure_diseq_elim true
% 11.49/11.70 % --min_unsat_core false
% 11.49/11.70 % --pred_elim true
% 11.49/11.70 % --add_important_lit false
% 11.49/11.70 % --soft_assumptions false
% 11.49/11.70 % --reset_solvers false
% 11.49/11.70 % --bc_imp_inh []
% 11.49/11.70 % --conj_cone_tolerance 1.5
% 11.49/11.70 % --prolific_symb_bound 500
% 11.49/11.70 % --lt_threshold 2000
% 11.49/11.70
% 11.49/11.70 % ------ SAT Options
% 11.49/11.70
% 11.49/11.70 % --sat_mode false
% 11.49/11.70 % --sat_fm_restart_options ""
% 11.49/11.70 % --sat_gr_def false
% 11.49/11.70 % --sat_epr_types true
% 11.49/11.70 % --sat_non_cyclic_types false
% 11.49/11.70 % --sat_finite_models false
% 11.49/11.70 % --sat_fm_lemmas false
% 11.49/11.70 % --sat_fm_prep false
% 11.49/11.70 % --sat_fm_uc_incr true
% 11.49/11.70 % --sat_out_model small
% 11.49/11.70 % --sat_out_clauses false
% 11.49/11.70
% 11.49/11.70 % ------ QBF Options
% 11.49/11.70
% 11.49/11.70 % --qbf_mode false
% 11.49/11.70 % --qbf_elim_univ true
% 11.49/11.70 % --qbf_sk_in true
% 11.49/11.70 % --qbf_pred_elim true
% 11.49/11.70 % --qbf_split 32
% 11.49/11.70
% 11.49/11.70 % ------ BMC1 Options
% 11.49/11.70
% 11.49/11.70 % --bmc1_incremental false
% 11.49/11.70 % --bmc1_axioms reachable_all
% 11.49/11.70 % --bmc1_min_bound 0
% 11.49/11.70 % --bmc1_max_bound -1
% 11.49/11.70 % --bmc1_max_bound_default -1
% 11.49/11.70 % --bmc1_symbol_reachability true
% 11.49/11.70 % --bmc1_property_lemmas false
% 11.49/11.70 % --bmc1_k_induction false
% 11.49/11.70 % --bmc1_non_equiv_states false
% 11.49/11.70 % --bmc1_deadlock false
% 11.49/11.70 % --bmc1_ucm false
% 11.49/11.70 % --bmc1_add_unsat_core none
% 11.49/11.70 % --bmc1_unsat_core_children false
% 11.49/11.70 % --bmc1_unsat_core_extrapolate_axioms false
% 11.49/11.70 % --bmc1_out_stat full
% 11.49/11.70 % --bmc1_ground_init false
% 11.49/11.70 % --bmc1_pre_inst_next_state false
% 11.49/11.70 % --bmc1_pre_inst_state false
% 11.49/11.70 % --bmc1_pre_inst_reach_state false
% 11.49/11.70 % --bmc1_out_unsat_core false
% 11.49/11.70 % --bmc1_aig_witness_out false
% 11.49/11.70 % --bmc1_verbose false
% 11.49/11.70 % --bmc1_dump_clauses_tptp false
% 11.49/11.70 % --bmc1_dump_unsat_core_tptp false
% 11.49/11.70 % --bmc1_dump_file -
% 11.49/11.70 % --bmc1_ucm_expand_uc_limit 128
% 11.49/11.70 % --bmc1_ucm_n_expand_iterations 6
% 11.49/11.70 % --bmc1_ucm_extend_mode 1
% 11.49/11.70 % --bmc1_ucm_init_mode 2
% 11.49/11.70 % --bmc1_ucm_cone_mode none
% 11.49/11.70 % --bmc1_ucm_reduced_relation_type 0
% 11.49/11.70 % --bmc1_ucm_relax_model 4
% 11.49/11.70 % --bmc1_ucm_full_tr_after_sat true
% 11.49/11.71 % --bmc1_ucm_expand_neg_assumptions false
% 11.49/11.71 % --bmc1_ucm_layered_model none
% 11.49/11.71 % --bmc1_ucm_max_lemma_size 10
% 11.49/11.71
% 11.49/11.71 % ------ AIG Options
% 11.49/11.71
% 11.49/11.71 % --aig_mode false
% 11.49/11.71
% 11.49/11.71 % ------ Instantiation Options
% 11.49/11.71
% 11.49/11.71 % --instantiation_flag true
% 11.49/11.71 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 11.49/11.71 % --inst_solver_per_active 750
% 11.49/11.71 % --inst_solver_calls_frac 0.5
% 11.49/11.71 % --inst_passive_queue_type priority_queues
% 11.49/11.71 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 11.49/11.71 % --inst_passive_queues_freq [25;2]
% 11.49/11.71 % --inst_dismatching true
% 11.49/11.71 % --inst_eager_unprocessed_to_passive true
% 11.49/11.71 % --inst_prop_sim_given true
% 11.49/11.71 % --inst_prop_sim_new false
% 11.49/11.71 % --inst_orphan_elimination true
% 11.49/11.71 % --inst_learning_loop_flag true
% 11.49/11.71 % --inst_learning_start 3000
% 11.49/11.71 % --inst_learning_factor 2
% 11.49/11.71 % --inst_start_prop_sim_after_learn 3
% 11.49/11.71 % --inst_sel_renew solver
% 11.49/11.71 % --inst_lit_activity_flag true
% 11.49/11.71 % --inst_out_proof true
% 11.49/11.71
% 11.49/11.71 % ------ Resolution Options
% 11.49/11.71
% 11.49/11.71 % --resolution_flag true
% 11.49/11.71 % --res_lit_sel kbo_max
% 11.49/11.71 % --res_to_prop_solver none
% 11.49/11.71 % --res_prop_simpl_new false
% 11.49/11.71 % --res_prop_simpl_given false
% 11.49/11.71 % --res_passive_queue_type priority_queues
% 11.49/11.71 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 11.49/11.71 % --res_passive_queues_freq [15;5]
% 11.49/11.71 % --res_forward_subs full
% 11.49/11.71 % --res_backward_subs full
% 11.49/11.71 % --res_forward_subs_resolution true
% 11.49/11.71 % --res_backward_subs_resolution true
% 11.49/11.71 % --res_orphan_elimination false
% 11.49/11.71 % --res_time_limit 1000.
% 11.49/11.71 % --res_out_proof true
% 11.49/11.71 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_a8b1ab.s
% 11.49/11.71 % --modulo true
% 11.49/11.71
% 11.49/11.71 % ------ Combination Options
% 11.49/11.71
% 11.49/11.71 % --comb_res_mult 1000
% 11.49/11.71 % --comb_inst_mult 300
% 11.49/11.71 % ------
% 11.49/11.71
% 11.49/11.71
% 11.49/11.71
% 11.49/11.71 % ------ Proving...
% 11.49/11.71 % warning: shown sat in sat incomplete mode
% 11.49/11.71 %
% 11.49/11.71
% 11.49/11.71
% 11.49/11.71
% 11.49/11.71
% 11.49/11.71 cnf(c_2212,plain,
% 11.49/11.71 ( c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X0,X1,X2,X3),X0,tc_Type_Otype,tc_Type_Otype) = X1
% 11.49/11.71 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 11.49/11.71 | ~ c_Type_Otypings(X2,X5,X6)
% 11.49/11.71 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3740_3) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9347,plain,
% 11.49/11.71 ( c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X0,X1,X2,X3),X0,tc_Type_Otype,tc_Type_Otype) = X1
% 11.49/11.71 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 11.49/11.71 | ~ c_Type_Otypings(X2,X5,X6)
% 11.49/11.71 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_2212]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9348,plain,
% 11.49/11.71 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 11.49/11.71 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
% 11.49/11.71 | ~ c_Type_Otypings(X0,X2,X6)
% 11.49/11.71 | c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X3,X0,X4),X5,tc_Type_Otype,tc_Type_Otype) = X3 ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_9347]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_2208,plain,
% 11.49/11.71 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__types__1__1(X2,X3,X0,X1))
% 11.49/11.71 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2)
% 11.49/11.71 | ~ c_Type_Otypings(X0,X5,X6)
% 11.49/11.71 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3741_3) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9339,plain,
% 11.49/11.71 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__types__1__1(X2,X3,X0,X1))
% 11.49/11.71 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2)
% 11.49/11.71 | ~ c_Type_Otypings(X0,X5,X6)
% 11.49/11.71 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_2208]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9340,plain,
% 11.49/11.71 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 11.49/11.71 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
% 11.49/11.71 | c_Type_Otypings(X0,X4,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X3,X0,X4))
% 11.49/11.71 | ~ c_Type_Otypings(X0,X2,X6) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_9339]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_2119,plain,
% 11.49/11.71 ( X0 = X1
% 11.49/11.71 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 11.49/11.71 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3786_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9161,plain,
% 11.49/11.71 ( X0 = X1
% 11.49/11.71 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 11.49/11.71 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_2119]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9162,plain,
% 11.49/11.71 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 11.49/11.71 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 11.49/11.71 | X3 = X4 ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_9161]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_2072,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3815_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9067,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_2072]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9068,plain,
% 11.49/11.71 ( ~ 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)
% 11.49/11.71 | 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_9067]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_2066,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3817_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9055,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_2066]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9056,plain,
% 11.49/11.71 ( ~ 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)
% 11.49/11.71 | 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_9055]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_2060,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ c_lessequals(X0,X3,tc_nat)
% 11.49/11.71 | ~ 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) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3819_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9043,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ c_lessequals(X0,X3,tc_nat)
% 11.49/11.71 | ~ 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) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_2060]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9044,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ 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)
% 11.49/11.71 | ~ c_lessequals(X0,X3,tc_nat) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_9043]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_2054,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ c_lessequals(X3,X0,tc_nat)
% 11.49/11.71 | ~ 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) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3821_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9031,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ c_lessequals(X3,X0,tc_nat)
% 11.49/11.71 | ~ 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) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_2054]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9032,plain,
% 11.49/11.71 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.49/11.71 | ~ 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)
% 11.49/11.71 | 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) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_9031]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_2051,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ c_lessequals(X0,X3,tc_nat)
% 11.49/11.71 | ~ 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) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3822_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9025,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ c_lessequals(X0,X3,tc_nat)
% 11.49/11.71 | ~ 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) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_2051]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9026,plain,
% 11.49/11.71 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.49/11.71 | 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)
% 11.49/11.71 | ~ 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) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_9025]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_2045,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3824_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9013,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_2045]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9014,plain,
% 11.49/11.71 ( ~ 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)
% 11.49/11.71 | 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_9013]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_2039,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3826_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9001,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_2039]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_9002,plain,
% 11.49/11.71 ( ~ 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)
% 11.49/11.71 | 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_9001]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_2033,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ c_lessequals(X1,X0,tc_nat)
% 11.49/11.71 | ~ 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) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3828_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8989,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ c_lessequals(X1,X0,tc_nat)
% 11.49/11.71 | ~ 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) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_2033]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8990,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ 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)
% 11.49/11.71 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8989]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_2030,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ c_lessequals(X1,X0,tc_nat)
% 11.49/11.71 | ~ 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) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3829_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8983,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ c_lessequals(X1,X0,tc_nat)
% 11.49/11.71 | ~ 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) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_2030]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8984,plain,
% 11.49/11.71 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.49/11.71 | 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)
% 11.49/11.71 | ~ 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) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8983]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_2027,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ c_lessequals(X2,X1,tc_nat)
% 11.49/11.71 | ~ 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) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3830_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8977,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ c_lessequals(X2,X1,tc_nat)
% 11.49/11.71 | ~ 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) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_2027]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8978,plain,
% 11.49/11.71 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.49/11.71 | ~ 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)
% 11.49/11.71 | 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) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8977]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1986,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ c_lessequals(X2,X1,tc_nat)
% 11.49/11.71 | 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) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3856_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8895,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ c_lessequals(X2,X1,tc_nat)
% 11.49/11.71 | 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) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_1986]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8896,plain,
% 11.49/11.71 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.49/11.71 | 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)
% 11.49/11.71 | 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) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8895]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1983,plain,
% 11.49/11.71 ( 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
% 11.49/11.71 | ~ c_lessequals(X1,X0,tc_nat)
% 11.49/11.71 | 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) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3857_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8889,plain,
% 11.49/11.71 ( 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
% 11.49/11.71 | ~ c_lessequals(X1,X0,tc_nat)
% 11.49/11.71 | 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) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_1983]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8890,plain,
% 11.49/11.71 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.49/11.71 | 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
% 11.49/11.71 | 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) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8889]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1970,plain,
% 11.49/11.71 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.49/11.71 | ~ 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3865_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8863,plain,
% 11.49/11.71 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.49/11.71 | ~ 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_1970]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8864,plain,
% 11.49/11.71 ( ~ 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.49/11.71 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8863]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1967,plain,
% 11.49/11.71 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.49/11.71 | ~ 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3866_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8857,plain,
% 11.49/11.71 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.49/11.71 | ~ 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_1967]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8858,plain,
% 11.49/11.71 ( ~ 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.49/11.71 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8857]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1942,plain,
% 11.49/11.71 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 11.49/11.71 | ~ c_Type_Otyping(X2,X3,X0)
% 11.49/11.71 | ~ c_InductTermi_OIT(X3)
% 11.49/11.71 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 11.49/11.71 | ~ c_InductTermi_OIT(X4)
% 11.49/11.71 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3879_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8807,plain,
% 11.49/11.71 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 11.49/11.71 | ~ c_Type_Otyping(X2,X3,X0)
% 11.49/11.71 | ~ c_InductTermi_OIT(X3)
% 11.49/11.71 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 11.49/11.71 | ~ c_InductTermi_OIT(X4)
% 11.49/11.71 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_1942]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8808,plain,
% 11.49/11.71 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 11.49/11.71 | ~ c_InductTermi_OIT(X1)
% 11.49/11.71 | ~ c_InductTermi_OIT(X0)
% 11.49/11.71 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 11.49/11.71 | ~ c_Type_Otyping(X3,X1,X4)
% 11.49/11.71 | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8807]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1939,plain,
% 11.49/11.71 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 11.49/11.71 | ~ c_InductTermi_OIT(X0)
% 11.49/11.71 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 11.49/11.71 | ~ c_InductTermi_OIT(X1)
% 11.49/11.71 | ~ c_Type_Otyping(X3,X1,X4)
% 11.49/11.71 | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3879_5) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8801,plain,
% 11.49/11.71 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 11.49/11.71 | ~ c_InductTermi_OIT(X0)
% 11.49/11.71 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 11.49/11.71 | ~ c_InductTermi_OIT(X1)
% 11.49/11.71 | ~ c_Type_Otyping(X3,X1,X4)
% 11.49/11.71 | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 11.49/11.71 inference(copy,[status(esa)],[c_1939]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8802,plain,
% 11.49/11.71 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 11.49/11.71 | ~ c_InductTermi_OIT(X0)
% 11.49/11.71 | ~ c_InductTermi_OIT(X1)
% 11.49/11.71 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 11.49/11.71 | ~ c_Type_Otyping(X3,X1,X4)
% 11.49/11.71 | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8801]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1936,plain,
% 11.49/11.71 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 11.49/11.71 | ~ c_Type_Otyping(X2,X3,X1)
% 11.49/11.71 | ~ c_InductTermi_OIT(X3)
% 11.49/11.71 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 11.49/11.71 | ~ c_InductTermi_OIT(X4)
% 11.49/11.71 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3880_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8795,plain,
% 11.49/11.71 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 11.49/11.71 | ~ c_Type_Otyping(X2,X3,X1)
% 11.49/11.71 | ~ c_InductTermi_OIT(X3)
% 11.49/11.71 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 11.49/11.71 | ~ c_InductTermi_OIT(X4)
% 11.49/11.71 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_1936]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8796,plain,
% 11.49/11.71 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 11.49/11.71 | ~ c_InductTermi_OIT(X1)
% 11.49/11.71 | ~ c_InductTermi_OIT(X0)
% 11.49/11.71 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 11.49/11.71 | ~ c_Type_Otyping(X3,X1,X4)
% 11.49/11.71 | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8795]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1933,plain,
% 11.49/11.71 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 11.49/11.71 | ~ c_InductTermi_OIT(X0)
% 11.49/11.71 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 11.49/11.71 | ~ c_InductTermi_OIT(X1)
% 11.49/11.71 | ~ c_Type_Otyping(X3,X1,X4)
% 11.49/11.71 | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3880_5) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8789,plain,
% 11.49/11.71 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 11.49/11.71 | ~ c_InductTermi_OIT(X0)
% 11.49/11.71 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 11.49/11.71 | ~ c_InductTermi_OIT(X1)
% 11.49/11.71 | ~ c_Type_Otyping(X3,X1,X4)
% 11.49/11.71 | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 11.49/11.71 inference(copy,[status(esa)],[c_1933]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8790,plain,
% 11.49/11.71 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 11.49/11.71 | ~ c_InductTermi_OIT(X0)
% 11.49/11.71 | ~ c_InductTermi_OIT(X1)
% 11.49/11.71 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 11.49/11.71 | ~ c_Type_Otyping(X3,X1,X4)
% 11.49/11.71 | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8789]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1930,plain,
% 11.49/11.71 ( c_Type_Otyping(X0,c_Lambda_Osubst(X1,X2,X3),X4)
% 11.49/11.71 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 11.49/11.71 | ~ c_Type_Otyping(X0,X2,X5) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3881_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8783,plain,
% 11.49/11.71 ( c_Type_Otyping(X0,c_Lambda_Osubst(X1,X2,X3),X4)
% 11.49/11.71 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 11.49/11.71 | ~ c_Type_Otyping(X0,X2,X5) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_1930]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8784,plain,
% 11.49/11.71 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 11.49/11.71 | c_Type_Otyping(X0,c_Lambda_Osubst(X3,X5,X1),X4)
% 11.49/11.71 | ~ c_Type_Otyping(X0,X5,X2) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8783]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1913,plain,
% 11.49/11.71 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.49/11.71 | 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3889_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8749,plain,
% 11.49/11.71 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.49/11.71 | 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_1913]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8750,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.49/11.71 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8749]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1910,plain,
% 11.49/11.71 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.49/11.71 | 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3890_2) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8743,plain,
% 11.49/11.71 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.49/11.71 | 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_1910]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8744,plain,
% 11.49/11.71 ( 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)
% 11.49/11.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.49/11.71 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8743]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1888,plain,
% 11.49/11.71 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.49/11.71 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3903_1) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8699,plain,
% 11.49/11.71 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.49/11.71 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_1888]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8700,plain,
% 11.49/11.71 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.71 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8699]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1884,plain,
% 11.49/11.71 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.49/11.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3903_5) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8691,plain,
% 11.49/11.71 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.49/11.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_1884]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8692,plain,
% 11.49/11.71 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.71 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8691]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1882,plain,
% 11.49/11.71 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.71 | ~ c_lessequals(X1,X3,X0)
% 11.49/11.71 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 11.49/11.71 | ~ c_lessequals(X2,X4,X0) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3904_1) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8687,plain,
% 11.49/11.71 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.71 | ~ c_lessequals(X1,X3,X0)
% 11.49/11.71 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 11.49/11.71 | ~ c_lessequals(X2,X4,X0) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_1882]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8688,plain,
% 11.49/11.71 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.71 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 11.49/11.71 | ~ c_lessequals(X1,X4,X0)
% 11.49/11.71 | ~ c_lessequals(X2,X3,X0) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8687]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1878,plain,
% 11.49/11.71 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 11.49/11.71 | ~ c_lessequals(X0,X3,X2)
% 11.49/11.71 | ~ c_lessequals(X1,X4,X2)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.49/11.71 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3904_5) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8679,plain,
% 11.49/11.71 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 11.49/11.71 | ~ c_lessequals(X0,X3,X2)
% 11.49/11.71 | ~ c_lessequals(X1,X4,X2)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.49/11.71 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_1878]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8680,plain,
% 11.49/11.71 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.71 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 11.49/11.71 | ~ c_lessequals(X1,X3,X0)
% 11.49/11.71 | ~ c_lessequals(X2,X4,X0) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8679]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1876,plain,
% 11.49/11.71 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.71 | ~ c_lessequals(X1,X3,X0)
% 11.49/11.71 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 11.49/11.71 | ~ c_lessequals(X4,X2,X0) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3905_1) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8675,plain,
% 11.49/11.71 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.71 | ~ c_lessequals(X1,X3,X0)
% 11.49/11.71 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 11.49/11.71 | ~ c_lessequals(X4,X2,X0) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_1876]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8676,plain,
% 11.49/11.71 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.71 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 11.49/11.71 | ~ c_lessequals(X1,X4,X0)
% 11.49/11.71 | ~ c_lessequals(X3,X2,X0) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8675]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1872,plain,
% 11.49/11.71 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 11.49/11.71 | ~ c_lessequals(X0,X3,X2)
% 11.49/11.71 | ~ c_lessequals(X1,X4,X2)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.49/11.71 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3905_5) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8667,plain,
% 11.49/11.71 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 11.49/11.71 | ~ c_lessequals(X0,X3,X2)
% 11.49/11.71 | ~ c_lessequals(X1,X4,X2)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.49/11.71 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_1872]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8668,plain,
% 11.49/11.71 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.71 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X1,X4,X0),X0)
% 11.49/11.71 | ~ c_lessequals(X3,X1,X0)
% 11.49/11.71 | ~ c_lessequals(X2,X4,X0) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8667]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1866,plain,
% 11.49/11.71 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 11.49/11.71 | ~ c_lessequals(X0,X3,X2)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.49/11.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3906_5) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8655,plain,
% 11.49/11.71 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 11.49/11.71 | ~ c_lessequals(X0,X3,X2)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.49/11.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_1866]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8656,plain,
% 11.49/11.71 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.71 | ~ c_lessequals(X2,X3,X0)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.71 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8655]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1860,plain,
% 11.49/11.71 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.49/11.71 | ~ c_lessequals(X1,X4,X2)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.49/11.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.49/11.71 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3907_5) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8643,plain,
% 11.49/11.71 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.49/11.71 | ~ c_lessequals(X1,X4,X2)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.49/11.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.49/11.71 inference(copy,[status(esa)],[c_1860]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_8644,plain,
% 11.49/11.71 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.71 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.71 | ~ c_lessequals(X2,X3,X0)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.71 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 11.49/11.71 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 11.49/11.71 inference(rewriting,[status(thm)],[c_8643]) ).
% 11.49/11.71
% 11.49/11.71 cnf(c_1858,plain,
% 11.49/11.71 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3908_1) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8639,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1858]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8640,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8639]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1852,plain,
% 11.49/11.72 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.49/11.72 | ~ c_lessequals(X1,X2,tc_nat)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3909_1) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8627,plain,
% 11.49/11.72 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.49/11.72 | ~ c_lessequals(X1,X2,tc_nat)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1852]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8628,plain,
% 11.49/11.72 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X0,X2,tc_nat)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8627]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1850,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X2,X0,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X2,X1,tc_nat)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3909_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8623,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X2,X0,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X2,X1,tc_nat)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1850]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8624,plain,
% 11.49/11.72 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X0,X2,tc_nat)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8623]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1830,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3916_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8583,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1830]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8584,plain,
% 11.49/11.72 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8583]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1826,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3917_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8575,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1826]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8576,plain,
% 11.49/11.72 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8575]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1822,plain,
% 11.49/11.72 ( c_lessequals(X0,X1,X2)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3918_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8567,plain,
% 11.49/11.72 ( c_lessequals(X0,X1,X2)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1822]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8568,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 11.49/11.72 | c_lessequals(X1,X3,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8567]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1818,plain,
% 11.49/11.72 ( c_lessequals(X0,X1,X2)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3919_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8559,plain,
% 11.49/11.72 ( c_lessequals(X0,X1,X2)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1818]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8560,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 11.49/11.72 | c_lessequals(X2,X3,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8559]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1814,plain,
% 11.49/11.72 ( c_lessequals(X0,X1,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3920_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8551,plain,
% 11.49/11.72 ( c_lessequals(X0,X1,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1814]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8552,plain,
% 11.49/11.72 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.49/11.72 | c_lessequals(X1,X3,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8551]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1810,plain,
% 11.49/11.72 ( c_lessequals(X0,X1,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3921_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8543,plain,
% 11.49/11.72 ( c_lessequals(X0,X1,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1810]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8544,plain,
% 11.49/11.72 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.49/11.72 | c_lessequals(X3,X1,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8543]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1778,plain,
% 11.49/11.72 ( c_lessequals(X0,X1,tc_nat)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3930_2) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8479,plain,
% 11.49/11.72 ( c_lessequals(X0,X1,tc_nat)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1778]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8480,plain,
% 11.49/11.72 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 11.49/11.72 | c_lessequals(X0,X2,tc_nat)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8479]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1774,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3931_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8471,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1774]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8472,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8471]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1770,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3932_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8463,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1770]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8464,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8463]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1761,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3935_4) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8445,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1761]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8446,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8445]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1757,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3936_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8437,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1757]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8438,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8437]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1753,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3937_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8429,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1753]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8430,plain,
% 11.49/11.72 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8429]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1749,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3938_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8421,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1749]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8422,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8421]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1745,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3939_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8413,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1745]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8414,plain,
% 11.49/11.72 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8413]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1742,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3941_0) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8407,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1742]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8408,plain,
% 11.49/11.72 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8407]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1739,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3941_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8401,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1739]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8402,plain,
% 11.49/11.72 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8401]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1738,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3942_0) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8399,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1738]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8400,plain,
% 11.49/11.72 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8399]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1735,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3942_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8393,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1735]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8394,plain,
% 11.49/11.72 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 11.49/11.72 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8393]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1714,plain,
% 11.49/11.72 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X2,X1,tc_nat)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 11.49/11.72 | ~ c_lessequals(X2,X0,tc_nat) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3954_1) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8351,plain,
% 11.49/11.72 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X2,X1,tc_nat)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 11.49/11.72 | ~ c_lessequals(X2,X0,tc_nat) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1714]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8352,plain,
% 11.49/11.72 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X0,X2,tc_nat)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8351]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1712,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.49/11.72 | ~ c_lessequals(X1,X0,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X1,X2,tc_nat)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3954_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8347,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.49/11.72 | ~ c_lessequals(X1,X0,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X1,X2,tc_nat)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1712]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8348,plain,
% 11.49/11.72 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X0,X2,tc_nat)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8347]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1699,plain,
% 11.49/11.72 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.49/11.72 | ~ c_lessequals(X1,X2,X0)
% 11.49/11.72 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 11.49/11.72 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3963_0) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8321,plain,
% 11.49/11.72 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.49/11.72 | ~ c_lessequals(X1,X2,X0)
% 11.49/11.72 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 11.49/11.72 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1699]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8322,plain,
% 11.49/11.72 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.49/11.72 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 11.49/11.72 | ~ c_lessequals(X3,X4,X1)
% 11.49/11.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8321]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1690,plain,
% 11.49/11.72 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X1,X0,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3966_2) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8303,plain,
% 11.49/11.72 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X1,X0,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1690]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8304,plain,
% 11.49/11.72 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X0,X2,tc_nat)
% 11.49/11.72 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8303]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1680,plain,
% 11.49/11.72 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X1,X2,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3970_2) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8283,plain,
% 11.49/11.72 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X1,X2,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1680]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8284,plain,
% 11.49/11.72 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.49/11.72 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8283]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1655,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.49/11.72 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.49/11.72 | X1 = X3
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3980_1) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8233,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.49/11.72 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.49/11.72 | X1 = X3
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1655]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8234,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 11.49/11.72 | c_Power_Opower__class_Opower(X2,X3,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 11.49/11.72 | X2 = X1 ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8233]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1651,plain,
% 11.49/11.72 ( X0 = X1
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 11.49/11.72 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3980_5) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8225,plain,
% 11.49/11.72 ( X0 = X1
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 11.49/11.72 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1651]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8226,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 11.49/11.72 | c_Power_Opower__class_Opower(X1,X3,X0) != c_Power_Opower__class_Opower(X2,X3,X0)
% 11.49/11.72 | X1 = X2 ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8225]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1639,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3983_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8201,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1639]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8202,plain,
% 11.49/11.72 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8201]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1611,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3990_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8145,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1611]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8146,plain,
% 11.49/11.72 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8145]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1591,plain,
% 11.49/11.72 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.49/11.72 | ~ c_lessequals(X3,X1,X2)
% 11.49/11.72 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3995_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8105,plain,
% 11.49/11.72 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.49/11.72 | ~ c_lessequals(X3,X1,X2)
% 11.49/11.72 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1591]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8106,plain,
% 11.49/11.72 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.49/11.72 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | ~ c_lessequals(X3,X1,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8105]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1587,plain,
% 11.49/11.72 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.49/11.72 | ~ c_lessequals(X3,X0,X2)
% 11.49/11.72 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3996_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8097,plain,
% 11.49/11.72 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.49/11.72 | ~ c_lessequals(X3,X0,X2)
% 11.49/11.72 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1587]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8098,plain,
% 11.49/11.72 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.49/11.72 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | ~ c_lessequals(X3,X0,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8097]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1583,plain,
% 11.49/11.72 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.72 | ~ c_lessequals(X1,X3,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3997_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8089,plain,
% 11.49/11.72 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.72 | ~ c_lessequals(X1,X3,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1583]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8090,plain,
% 11.49/11.72 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.49/11.72 | ~ c_lessequals(X1,X3,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8089]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1579,plain,
% 11.49/11.72 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | ~ c_lessequals(X3,X1,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3998_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8081,plain,
% 11.49/11.72 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | ~ c_lessequals(X3,X1,X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1579]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8082,plain,
% 11.49/11.72 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.49/11.72 | ~ c_lessequals(X3,X1,X2)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8081]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1563,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.49/11.72 | ~ c_lessequals(X1,X3,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.49/11.72 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4004_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8049,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.49/11.72 | ~ c_lessequals(X1,X3,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.49/11.72 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1563]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8050,plain,
% 11.49/11.72 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.49/11.72 | ~ c_lessequals(X1,X2,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8049]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1561,plain,
% 11.49/11.72 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4005_1) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8045,plain,
% 11.49/11.72 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1561]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8046,plain,
% 11.49/11.72 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8045]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1557,plain,
% 11.49/11.72 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 11.49/11.72 | ~ c_lessequals(X1,X2,X0)
% 11.49/11.72 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 11.49/11.72 | ~ c_lessequals(X3,X4,X0) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4006_1) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8037,plain,
% 11.49/11.72 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 11.49/11.72 | ~ c_lessequals(X1,X2,X0)
% 11.49/11.72 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 11.49/11.72 | ~ c_lessequals(X3,X4,X0) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1557]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_8038,plain,
% 11.49/11.72 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 11.49/11.72 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.49/11.72 | ~ c_lessequals(X2,X4,X0)
% 11.49/11.72 | ~ c_lessequals(X1,X3,X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_8037]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1519,plain,
% 11.49/11.72 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.49/11.72 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)
% 11.49/11.72 | ~ c_lessequals(X2,X3,tc_nat) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4021_1) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7961,plain,
% 11.49/11.72 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.49/11.72 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)
% 11.49/11.72 | ~ c_lessequals(X2,X3,tc_nat) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1519]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7962,plain,
% 11.49/11.72 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 11.49/11.72 | ~ c_lessequals(X1,X3,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_7961]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1513,plain,
% 11.49/11.72 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4023_1) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7949,plain,
% 11.49/11.72 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1513]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7950,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_7949]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1510,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4024_1) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7943,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1510]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7944,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_7943]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1508,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4024_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7939,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1508]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7940,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_7939]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1506,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4025_1) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7935,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1506]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7936,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_7935]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1504,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4025_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7931,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1504]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7932,plain,
% 11.49/11.72 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.72 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_7931]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1479,plain,
% 11.49/11.72 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.49/11.72 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4041_1) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7881,plain,
% 11.49/11.72 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.49/11.72 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1479]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7882,plain,
% 11.49/11.72 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 11.49/11.72 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_7881]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1476,plain,
% 11.49/11.72 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.49/11.72 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 11.49/11.72 | ~ c_lessequals(X2,X3,tc_nat) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4042_1) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7875,plain,
% 11.49/11.72 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.49/11.72 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 11.49/11.72 | ~ c_lessequals(X2,X3,tc_nat) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1476]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7876,plain,
% 11.49/11.72 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 11.49/11.72 | ~ c_lessequals(X1,X3,tc_nat)
% 11.49/11.72 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_7875]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1471,plain,
% 11.49/11.72 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4043_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7865,plain,
% 11.49/11.72 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1471]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7866,plain,
% 11.49/11.72 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.72 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.72 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_7865]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1467,plain,
% 11.49/11.72 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4044_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7857,plain,
% 11.49/11.72 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1467]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7858,plain,
% 11.49/11.72 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.72 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.72 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 inference(rewriting,[status(thm)],[c_7857]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_1463,plain,
% 11.49/11.72 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4045_3) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7849,plain,
% 11.49/11.72 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.72 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.72 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.72 inference(copy,[status(esa)],[c_1463]) ).
% 11.49/11.72
% 11.49/11.72 cnf(c_7850,plain,
% 11.49/11.73 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7849]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1459,plain,
% 11.49/11.73 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4046_3) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7841,plain,
% 11.49/11.73 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1459]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7842,plain,
% 11.49/11.73 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7841]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1455,plain,
% 11.49/11.73 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4047_3) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7833,plain,
% 11.49/11.73 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1455]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7834,plain,
% 11.49/11.73 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7833]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1454,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4048_0) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7831,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1454]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7832,plain,
% 11.49/11.73 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7831]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1450,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4049_0) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7823,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1450]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7824,plain,
% 11.49/11.73 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7823]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1447,plain,
% 11.49/11.73 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4049_3) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7817,plain,
% 11.49/11.73 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1447]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7818,plain,
% 11.49/11.73 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7817]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1443,plain,
% 11.49/11.73 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4050_3) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7809,plain,
% 11.49/11.73 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1443]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7810,plain,
% 11.49/11.73 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7809]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1441,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.49/11.73 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.49/11.73 | X1 = X3
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4051_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7805,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.49/11.73 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.49/11.73 | X1 = X3
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1441]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7806,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.73 | c_Power_Opower__class_Opower(X2,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)
% 11.49/11.73 | X2 = X1 ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7805]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1438,plain,
% 11.49/11.73 ( X0 = X1
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.49/11.73 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4051_4) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7799,plain,
% 11.49/11.73 ( X0 = X1
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.49/11.73 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1438]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7800,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.73 | c_Power_Opower__class_Opower(X1,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X2,c_Suc(X3),X0)
% 11.49/11.73 | X1 = X2 ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7799]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1419,plain,
% 11.49/11.73 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.49/11.73 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 11.49/11.73 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4061_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7761,plain,
% 11.49/11.73 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.49/11.73 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 11.49/11.73 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1419]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7762,plain,
% 11.49/11.73 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 11.49/11.73 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.49/11.73 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7761]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1416,plain,
% 11.49/11.73 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.49/11.73 | 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)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4062_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7755,plain,
% 11.49/11.73 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.49/11.73 | 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)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1416]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7756,plain,
% 11.49/11.73 ( 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)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7755]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1391,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4070_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7705,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1391]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7706,plain,
% 11.49/11.73 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7705]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1383,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.49/11.73 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.73 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4072_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7689,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.49/11.73 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.73 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1383]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7690,plain,
% 11.49/11.73 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.73 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7689]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1379,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4073_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7681,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1379]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7682,plain,
% 11.49/11.73 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7681]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1375,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.49/11.73 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.73 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4074_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7673,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.49/11.73 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.73 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1375]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7674,plain,
% 11.49/11.73 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.73 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7673]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1371,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4075_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7665,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1371]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7666,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7665]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1361,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4077_3) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7645,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1361]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7646,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7645]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1337,plain,
% 11.49/11.73 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.73 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4083_3) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7597,plain,
% 11.49/11.73 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.73 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1337]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7598,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7597]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1333,plain,
% 11.49/11.73 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4084_3) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7589,plain,
% 11.49/11.73 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1333]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7590,plain,
% 11.49/11.73 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7589]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1329,plain,
% 11.49/11.73 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.73 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4085_3) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7581,plain,
% 11.49/11.73 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.49/11.73 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1329]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7582,plain,
% 11.49/11.73 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7581]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1327,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4086_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7577,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1327]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7578,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7577]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1323,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4087_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7569,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1323]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7570,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7569]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1318,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4089_2) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7559,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1318]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7560,plain,
% 11.49/11.73 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.49/11.73 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7559]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1315,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4090_2) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7553,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1315]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7554,plain,
% 11.49/11.73 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.49/11.73 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7553]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1313,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.49/11.73 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4092_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7549,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.49/11.73 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1313]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7550,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.49/11.73 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7549]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1309,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4093_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7541,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1309]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7542,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7541]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1299,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4095_3) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7521,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1299]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7522,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.49/11.73 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7521]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1291,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4097_3) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7505,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1291]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7506,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7505]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1289,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4098_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7501,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1289]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7502,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7501]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1285,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4099_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7493,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1285]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7494,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7493]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1278,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 11.49/11.73 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4101_4) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7479,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 11.49/11.73 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1278]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7480,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.49/11.73 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7479]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1273,plain,
% 11.49/11.73 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.49/11.73 | ~ c_lessequals(X0,X2,X1)
% 11.49/11.73 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4102_4) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7469,plain,
% 11.49/11.73 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.49/11.73 | ~ c_lessequals(X0,X2,X1)
% 11.49/11.73 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1273]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7470,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.49/11.73 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0)
% 11.49/11.73 | ~ c_lessequals(X2,X3,X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7469]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1268,plain,
% 11.49/11.73 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.49/11.73 | ~ c_lessequals(X0,X3,X1)
% 11.49/11.73 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4103_4) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7459,plain,
% 11.49/11.73 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.49/11.73 | ~ c_lessequals(X0,X3,X1)
% 11.49/11.73 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1268]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7460,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.49/11.73 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.49/11.73 | ~ c_lessequals(X2,X3,X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7459]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1235,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4113_3) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7393,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1235]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7394,plain,
% 11.49/11.73 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7393]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1210,plain,
% 11.49/11.73 ( ~ class_Orderings_Olinorder(X0)
% 11.49/11.73 | ~ c_lessequals(X1,X2,X0)
% 11.49/11.73 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 11.49/11.73 | ~ c_lessequals(X3,X2,X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4123_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7343,plain,
% 11.49/11.73 ( ~ class_Orderings_Olinorder(X0)
% 11.49/11.73 | ~ c_lessequals(X1,X2,X0)
% 11.49/11.73 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 11.49/11.73 | ~ c_lessequals(X3,X2,X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1210]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7344,plain,
% 11.49/11.73 ( ~ class_Orderings_Olinorder(X0)
% 11.49/11.73 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 11.49/11.73 | ~ c_lessequals(X2,X3,X0)
% 11.49/11.73 | ~ c_lessequals(X1,X3,X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7343]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1206,plain,
% 11.49/11.73 ( ~ class_Orderings_Olinorder(X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4124_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7335,plain,
% 11.49/11.73 ( ~ class_Orderings_Olinorder(X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1206]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7336,plain,
% 11.49/11.73 ( ~ class_Orderings_Olinorder(X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7335]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1202,plain,
% 11.49/11.73 ( ~ class_Orderings_Olinorder(X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4125_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7327,plain,
% 11.49/11.73 ( ~ class_Orderings_Olinorder(X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1202]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7328,plain,
% 11.49/11.73 ( ~ class_Orderings_Olinorder(X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7327]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1190,plain,
% 11.49/11.73 ( ~ class_Orderings_Olinorder(X0)
% 11.49/11.73 | ~ c_lessequals(X1,X2,X0)
% 11.49/11.73 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 11.49/11.73 | ~ c_lessequals(X1,X3,X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4128_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7303,plain,
% 11.49/11.73 ( ~ class_Orderings_Olinorder(X0)
% 11.49/11.73 | ~ c_lessequals(X1,X2,X0)
% 11.49/11.73 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 11.49/11.73 | ~ c_lessequals(X1,X3,X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1190]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7304,plain,
% 11.49/11.73 ( ~ class_Orderings_Olinorder(X0)
% 11.49/11.73 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 11.49/11.73 | ~ c_lessequals(X1,X3,X0)
% 11.49/11.73 | ~ c_lessequals(X1,X2,X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7303]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1182,plain,
% 11.49/11.73 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.49/11.73 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4131_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7287,plain,
% 11.49/11.73 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.49/11.73 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1182]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7288,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7287]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1179,plain,
% 11.49/11.73 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 11.49/11.73 | ~ c_lessequals(X1,X2,tc_nat)
% 11.49/11.73 | X0 = X2
% 11.49/11.73 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4132_1) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7281,plain,
% 11.49/11.73 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 11.49/11.73 | ~ c_lessequals(X1,X2,tc_nat)
% 11.49/11.73 | X0 = X2
% 11.49/11.73 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1179]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7282,plain,
% 11.49/11.73 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.49/11.73 | ~ c_lessequals(X0,X2,tc_nat)
% 11.49/11.73 | c_HOL_Ominus__class_Ominus(X2,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)
% 11.49/11.73 | X2 = X1 ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7281]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1177,plain,
% 11.49/11.73 ( X0 = X1
% 11.49/11.73 | ~ c_lessequals(X2,X0,tc_nat)
% 11.49/11.73 | ~ c_lessequals(X2,X1,tc_nat)
% 11.49/11.73 | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4132_3) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7277,plain,
% 11.49/11.73 ( X0 = X1
% 11.49/11.73 | ~ c_lessequals(X2,X0,tc_nat)
% 11.49/11.73 | ~ c_lessequals(X2,X1,tc_nat)
% 11.49/11.73 | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1177]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7278,plain,
% 11.49/11.73 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.49/11.73 | ~ c_lessequals(X0,X2,tc_nat)
% 11.49/11.73 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)
% 11.49/11.73 | X1 = X2 ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7277]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1174,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4133_2) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7271,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1174]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7272,plain,
% 11.49/11.73 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.49/11.73 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X1,tc_nat) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7271]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1141,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4150_2) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7205,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1141]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7206,plain,
% 11.49/11.73 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7205]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1138,plain,
% 11.49/11.73 ( c_lessequals(X0,X1,X2)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4151_2) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7199,plain,
% 11.49/11.73 ( c_lessequals(X0,X1,X2)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1138]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7200,plain,
% 11.49/11.73 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.49/11.73 | c_lessequals(X0,X1,X2)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7199]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1135,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.49/11.73 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4152_2) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7193,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.49/11.73 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1135]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7194,plain,
% 11.49/11.73 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7193]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1132,plain,
% 11.49/11.73 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4153_2) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7187,plain,
% 11.49/11.73 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1132]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7188,plain,
% 11.49/11.73 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7187]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1129,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4154_2) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7181,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1129]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7182,plain,
% 11.49/11.73 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7181]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1126,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4155_2) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7175,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.49/11.73 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1126]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7176,plain,
% 11.49/11.73 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.49/11.73 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7175]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1123,plain,
% 11.49/11.73 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.49/11.73 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4156_2) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7169,plain,
% 11.49/11.73 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.49/11.73 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1123]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7170,plain,
% 11.49/11.73 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.49/11.73 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.49/11.73 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7169]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1122,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.49/11.73 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4165_0) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7167,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.49/11.73 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1122]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7168,plain,
% 11.49/11.73 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.73 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 11.49/11.73 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7167]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1119,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.49/11.73 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4165_3) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7161,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.49/11.73 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1119]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7162,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 11.49/11.73 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7161]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1118,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.49/11.73 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4166_0) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7159,plain,
% 11.49/11.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.49/11.73 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.49/11.73 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 11.49/11.73 inference(copy,[status(esa)],[c_1118]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_7160,plain,
% 11.49/11.73 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.73 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 11.49/11.73 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 11.49/11.73 inference(rewriting,[status(thm)],[c_7159]) ).
% 11.49/11.73
% 11.49/11.73 cnf(c_1115,plain,
% 11.49/11.73 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.49/11.73 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.49/11.73 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 11.49/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.49/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4166_3) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_7153,plain,
% 11.53/11.73 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.53/11.73 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.53/11.73 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 11.53/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.53/11.73 inference(copy,[status(esa)],[c_1115]) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_7154,plain,
% 11.53/11.73 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.53/11.73 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.53/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 11.53/11.73 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 11.53/11.73 inference(rewriting,[status(thm)],[c_7153]) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_1114,plain,
% 11.53/11.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.53/11.73 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.53/11.73 | ~ c_lessequals(X4,X3,X0)
% 11.53/11.73 | c_lessequals(X2,X1,X0) ),
% 11.53/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4167_0) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_7151,plain,
% 11.53/11.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.53/11.73 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.53/11.73 | ~ c_lessequals(X4,X3,X0)
% 11.53/11.73 | c_lessequals(X2,X1,X0) ),
% 11.53/11.73 inference(copy,[status(esa)],[c_1114]) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_7152,plain,
% 11.53/11.73 ( ~ c_lessequals(X0,X1,X2)
% 11.53/11.73 | c_lessequals(X3,X4,X2)
% 11.53/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 11.53/11.73 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 11.53/11.73 inference(rewriting,[status(thm)],[c_7151]) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_1111,plain,
% 11.53/11.73 ( c_lessequals(X0,X1,X2)
% 11.53/11.73 | ~ c_lessequals(X3,X4,X2)
% 11.53/11.73 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 11.53/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.53/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4167_3) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_7145,plain,
% 11.53/11.73 ( c_lessequals(X0,X1,X2)
% 11.53/11.73 | ~ c_lessequals(X3,X4,X2)
% 11.53/11.73 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 11.53/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.53/11.73 inference(copy,[status(esa)],[c_1111]) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_7146,plain,
% 11.53/11.73 ( c_lessequals(X0,X1,X2)
% 11.53/11.73 | ~ c_lessequals(X3,X4,X2)
% 11.53/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 11.53/11.73 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 11.53/11.73 inference(rewriting,[status(thm)],[c_7145]) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_1110,plain,
% 11.53/11.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.53/11.73 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.53/11.73 | ~ c_lessequals(X2,X1,X0)
% 11.53/11.73 | c_lessequals(X4,X3,X0) ),
% 11.53/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4168_0) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_7143,plain,
% 11.53/11.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.53/11.73 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.53/11.73 | ~ c_lessequals(X2,X1,X0)
% 11.53/11.73 | c_lessequals(X4,X3,X0) ),
% 11.53/11.73 inference(copy,[status(esa)],[c_1110]) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_7144,plain,
% 11.53/11.73 ( ~ c_lessequals(X0,X1,X2)
% 11.53/11.73 | c_lessequals(X3,X4,X2)
% 11.53/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 11.53/11.73 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 11.53/11.73 inference(rewriting,[status(thm)],[c_7143]) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_1107,plain,
% 11.53/11.73 ( c_lessequals(X0,X1,X2)
% 11.53/11.73 | ~ c_lessequals(X3,X4,X2)
% 11.53/11.73 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 11.53/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.53/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4168_3) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_7137,plain,
% 11.53/11.73 ( c_lessequals(X0,X1,X2)
% 11.53/11.73 | ~ c_lessequals(X3,X4,X2)
% 11.53/11.73 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 11.53/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.53/11.73 inference(copy,[status(esa)],[c_1107]) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_7138,plain,
% 11.53/11.73 ( c_lessequals(X0,X1,X2)
% 11.53/11.73 | ~ c_lessequals(X3,X4,X2)
% 11.53/11.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 11.53/11.73 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 11.53/11.73 inference(rewriting,[status(thm)],[c_7137]) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_1047,plain,
% 11.53/11.73 ( c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1)
% 11.53/11.73 | ~ c_lessequals(X2,X0,tc_nat)
% 11.53/11.73 | ~ class_Ring__and__Field_Oring__1(X1) ),
% 11.53/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4192_2) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_7017,plain,
% 11.53/11.73 ( c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1)
% 11.53/11.73 | ~ c_lessequals(X2,X0,tc_nat)
% 11.53/11.73 | ~ class_Ring__and__Field_Oring__1(X1) ),
% 11.53/11.73 inference(copy,[status(esa)],[c_1047]) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_7018,plain,
% 11.53/11.73 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.53/11.73 | ~ class_Ring__and__Field_Oring__1(X2)
% 11.53/11.73 | c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X0,X2),X2) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2) ),
% 11.53/11.73 inference(rewriting,[status(thm)],[c_7017]) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_1039,plain,
% 11.53/11.73 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.53/11.73 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.53/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.53/11.73 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.53/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.53/11.73 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4201_1) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_7001,plain,
% 11.53/11.73 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.53/11.73 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.53/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.53/11.73 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.53/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.53/11.73 inference(copy,[status(esa)],[c_1039]) ).
% 11.53/11.73
% 11.53/11.73 cnf(c_7002,plain,
% 11.53/11.73 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.53/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.53/11.73 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.53/11.73 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 11.53/11.73 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_7001]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_1036,plain,
% 11.53/11.74 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.53/11.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.53/11.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.53/11.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.53/11.74 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4201_4) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6995,plain,
% 11.53/11.74 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.53/11.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.53/11.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.53/11.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.53/11.74 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_1036]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6996,plain,
% 11.53/11.74 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.53/11.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.53/11.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.53/11.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.53/11.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6995]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_1034,plain,
% 11.53/11.74 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.53/11.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.53/11.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.53/11.74 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.53/11.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4202_1) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6991,plain,
% 11.53/11.74 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.53/11.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.53/11.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.53/11.74 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.53/11.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_1034]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6992,plain,
% 11.53/11.74 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.53/11.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.53/11.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.53/11.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 11.53/11.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6991]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_1031,plain,
% 11.53/11.74 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.53/11.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.53/11.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.53/11.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 11.53/11.74 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4202_4) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6985,plain,
% 11.53/11.74 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.53/11.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.53/11.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.53/11.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 11.53/11.74 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_1031]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6986,plain,
% 11.53/11.74 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.53/11.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.53/11.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.53/11.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.53/11.74 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6985]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_1026,plain,
% 11.53/11.74 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4206_0) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6975,plain,
% 11.53/11.74 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_1026]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6976,plain,
% 11.53/11.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 11.53/11.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6975]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_980,plain,
% 11.53/11.74 ( X0 = X1
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.53/11.74 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4227_2) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6883,plain,
% 11.53/11.74 ( X0 = X1
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.53/11.74 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_980]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6884,plain,
% 11.53/11.74 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.53/11.74 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 11.53/11.74 | X1 = X2 ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6883]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_908,plain,
% 11.53/11.74 ( ~ class_Orderings_Opreorder(X0)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.53/11.74 | ~ c_lessequals(X3,X1,X0) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4259_1) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6739,plain,
% 11.53/11.74 ( ~ class_Orderings_Opreorder(X0)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.53/11.74 | ~ c_lessequals(X3,X1,X0) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_908]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6740,plain,
% 11.53/11.74 ( ~ class_Orderings_Opreorder(X0)
% 11.53/11.74 | ~ c_lessequals(X1,X2,X0)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6739]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_906,plain,
% 11.53/11.74 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.53/11.74 | ~ c_lessequals(X0,X3,X2)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.53/11.74 | ~ class_Orderings_Opreorder(X2) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4259_3) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6735,plain,
% 11.53/11.74 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.53/11.74 | ~ c_lessequals(X0,X3,X2)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.53/11.74 | ~ class_Orderings_Opreorder(X2) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_906]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6736,plain,
% 11.53/11.74 ( ~ class_Orderings_Opreorder(X0)
% 11.53/11.74 | ~ c_lessequals(X1,X2,X0)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6735]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_900,plain,
% 11.53/11.74 ( ~ class_Orderings_Oorder(X0)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.53/11.74 | ~ c_lessequals(X2,X3,X0) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4261_1) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6723,plain,
% 11.53/11.74 ( ~ class_Orderings_Oorder(X0)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.53/11.74 | ~ c_lessequals(X2,X3,X0) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_900]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6724,plain,
% 11.53/11.74 ( ~ class_Orderings_Oorder(X0)
% 11.53/11.74 | ~ c_lessequals(X1,X2,X0)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6723]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_898,plain,
% 11.53/11.74 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.53/11.74 | ~ c_lessequals(X3,X1,X2)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.53/11.74 | ~ class_Orderings_Oorder(X2) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4261_3) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6719,plain,
% 11.53/11.74 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.53/11.74 | ~ c_lessequals(X3,X1,X2)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.53/11.74 | ~ class_Orderings_Oorder(X2) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_898]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6720,plain,
% 11.53/11.74 ( ~ class_Orderings_Oorder(X0)
% 11.53/11.74 | ~ c_lessequals(X1,X2,X0)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6719]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_860,plain,
% 11.53/11.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.53/11.74 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4275_1) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6643,plain,
% 11.53/11.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.53/11.74 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_860]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6644,plain,
% 11.53/11.74 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6643]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_820,plain,
% 11.53/11.74 ( c_lessequals(X0,X1,X2)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.53/11.74 | ~ c_lessequals(X1,X0,X2)
% 11.53/11.74 | ~ class_Orderings_Opreorder(X2) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4302_3) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6563,plain,
% 11.53/11.74 ( c_lessequals(X0,X1,X2)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.53/11.74 | ~ c_lessequals(X1,X0,X2)
% 11.53/11.74 | ~ class_Orderings_Opreorder(X2) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_820]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6564,plain,
% 11.53/11.74 ( ~ class_Orderings_Opreorder(X0)
% 11.53/11.74 | c_lessequals(X1,X2,X0)
% 11.53/11.74 | ~ c_lessequals(X2,X1,X0)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6563]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_808,plain,
% 11.53/11.74 ( hBOOL(hAPP(X0,X1))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0)))) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4307_2) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6539,plain,
% 11.53/11.74 ( hBOOL(hAPP(X0,X1))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0)))) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_808]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6540,plain,
% 11.53/11.74 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0))))
% 11.53/11.74 | hBOOL(hAPP(X0,X1)) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6539]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_805,plain,
% 11.53/11.74 ( hBOOL(hAPP(X0,X1))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0)))) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4308_2) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6533,plain,
% 11.53/11.74 ( hBOOL(hAPP(X0,X1))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0)))) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_805]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6534,plain,
% 11.53/11.74 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0))))
% 11.53/11.74 | hBOOL(hAPP(X0,X1)) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6533]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_802,plain,
% 11.53/11.74 ( hBOOL(hAPP(X0,X1))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0)))) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4309_2) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6527,plain,
% 11.53/11.74 ( hBOOL(hAPP(X0,X1))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0)))) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_802]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6528,plain,
% 11.53/11.74 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0))))
% 11.53/11.74 | hBOOL(hAPP(X0,X1)) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6527]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_799,plain,
% 11.53/11.74 ( hBOOL(hAPP(X0,X1))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0)))) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4310_2) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6521,plain,
% 11.53/11.74 ( hBOOL(hAPP(X0,X1))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0)))) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_799]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6522,plain,
% 11.53/11.74 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0))))
% 11.53/11.74 | hBOOL(hAPP(X0,X1)) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6521]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_797,plain,
% 11.53/11.74 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.53/11.74 | X2 = X1 ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4311_1) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6517,plain,
% 11.53/11.74 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.53/11.74 | X2 = X1 ),
% 11.53/11.74 inference(copy,[status(esa)],[c_797]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6518,plain,
% 11.53/11.74 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.53/11.74 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 11.53/11.74 | X1 = X0 ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6517]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_795,plain,
% 11.53/11.74 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.53/11.74 | X0 = X1
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.53/11.74 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4311_3) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6513,plain,
% 11.53/11.74 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.53/11.74 | X0 = X1
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.53/11.74 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_795]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6514,plain,
% 11.53/11.74 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.53/11.74 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 11.53/11.74 | X0 = X1 ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6513]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_737,plain,
% 11.53/11.74 ( X0 = X1
% 11.53/11.74 | ~ c_lessequals(X1,X0,tc_nat)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4330_2) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6397,plain,
% 11.53/11.74 ( X0 = X1
% 11.53/11.74 | ~ c_lessequals(X1,X0,tc_nat)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_737]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6398,plain,
% 11.53/11.74 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat)
% 11.53/11.74 | X1 = X0 ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6397]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_727,plain,
% 11.53/11.74 ( X0 = X1
% 11.53/11.74 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.53/11.74 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4334_2) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6377,plain,
% 11.53/11.74 ( X0 = X1
% 11.53/11.74 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.53/11.74 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_727]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6378,plain,
% 11.53/11.74 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.53/11.74 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.53/11.74 | X0 = X1 ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6377]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_694,plain,
% 11.53/11.74 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4349_2) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6311,plain,
% 11.53/11.74 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_694]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6312,plain,
% 11.53/11.74 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X0 = X1 ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6311]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_679,plain,
% 11.53/11.74 ( ~ c_Lambda_Obeta(X0,X1)
% 11.53/11.74 | ~ c_Type_Otyping(X2,X0,X3)
% 11.53/11.74 | c_Type_Otyping(X2,X1,X3) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4357_0) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6281,plain,
% 11.53/11.74 ( ~ c_Lambda_Obeta(X0,X1)
% 11.53/11.74 | ~ c_Type_Otyping(X2,X0,X3)
% 11.53/11.74 | c_Type_Otyping(X2,X1,X3) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_679]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6282,plain,
% 11.53/11.74 ( ~ c_Type_Otyping(X0,X1,X2)
% 11.53/11.74 | c_Type_Otyping(X0,X3,X2)
% 11.53/11.74 | ~ c_Lambda_Obeta(X1,X3) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6281]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_670,plain,
% 11.53/11.74 ( hBOOL(hAPP(X0,X1))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0))) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4363_2) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6263,plain,
% 11.53/11.74 ( hBOOL(hAPP(X0,X1))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0))) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_670]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6264,plain,
% 11.53/11.74 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0)))
% 11.53/11.74 | hBOOL(hAPP(X0,X1)) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6263]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_632,plain,
% 11.53/11.74 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat)
% 11.53/11.74 | hBOOL(hAPP(X0,X1))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4374_2) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6187,plain,
% 11.53/11.74 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat)
% 11.53/11.74 | hBOOL(hAPP(X0,X1))
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_632]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6188,plain,
% 11.53/11.74 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat)
% 11.53/11.74 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.53/11.74 | hBOOL(hAPP(X0,X1)) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6187]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_594,plain,
% 11.53/11.74 ( c_Suc(X0) = X1
% 11.53/11.74 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4388_2) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6111,plain,
% 11.53/11.74 ( c_Suc(X0) = X1
% 11.53/11.74 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_594]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_6112,plain,
% 11.53/11.74 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 11.53/11.74 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.53/11.74 | c_Suc(X0) = X1 ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_6111]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_521,plain,
% 11.53/11.74 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.53/11.74 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 11.53/11.74 | ~ class_Power_Opower(X1)
% 11.53/11.74 | ~ class_Ring__and__Field_Omult__zero(X1)
% 11.53/11.74 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 11.53/11.74 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4425_5) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5965,plain,
% 11.53/11.74 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.53/11.74 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 11.53/11.74 | ~ class_Power_Opower(X1)
% 11.53/11.74 | ~ class_Ring__and__Field_Omult__zero(X1)
% 11.53/11.74 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 11.53/11.74 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_521]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5966,plain,
% 11.53/11.74 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.53/11.74 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 11.53/11.74 | ~ class_Ring__and__Field_Omult__zero(X0)
% 11.53/11.74 | ~ class_Power_Opower(X0)
% 11.53/11.74 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.53/11.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_5965]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_516,plain,
% 11.53/11.74 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 11.53/11.74 | ~ class_Power_Opower(X1)
% 11.53/11.74 | ~ class_Ring__and__Field_Omult__zero(X1)
% 11.53/11.74 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 11.53/11.74 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4426_4) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5955,plain,
% 11.53/11.74 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 11.53/11.74 | ~ class_Power_Opower(X1)
% 11.53/11.74 | ~ class_Ring__and__Field_Omult__zero(X1)
% 11.53/11.74 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 11.53/11.74 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_516]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5956,plain,
% 11.53/11.74 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.53/11.74 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 11.53/11.74 | ~ class_Ring__and__Field_Omult__zero(X0)
% 11.53/11.74 | ~ class_Power_Opower(X0)
% 11.53/11.74 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_5955]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_515,plain,
% 11.53/11.74 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 11.53/11.74 | hBOOL(hAPP(X0,X3))
% 11.53/11.74 | hBOOL(hAPP(X0,X1)) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4427_0) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5953,plain,
% 11.53/11.74 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 11.53/11.74 | hBOOL(hAPP(X0,X3))
% 11.53/11.74 | hBOOL(hAPP(X0,X1)) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_515]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5954,plain,
% 11.53/11.74 ( hBOOL(hAPP(X0,X1))
% 11.53/11.74 | hBOOL(hAPP(X0,X2))
% 11.53/11.74 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_5953]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_512,plain,
% 11.53/11.74 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 11.53/11.74 | hBOOL(hAPP(X0,X3))
% 11.53/11.74 | hBOOL(hAPP(X0,X2)) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4428_0) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5947,plain,
% 11.53/11.74 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 11.53/11.74 | hBOOL(hAPP(X0,X3))
% 11.53/11.74 | hBOOL(hAPP(X0,X2)) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_512]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5948,plain,
% 11.53/11.74 ( hBOOL(hAPP(X0,X1))
% 11.53/11.74 | hBOOL(hAPP(X0,X2))
% 11.53/11.74 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X2) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_5947]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_507,plain,
% 11.53/11.74 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.53/11.74 | X1 = X0
% 11.53/11.74 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4430_2) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5937,plain,
% 11.53/11.74 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.53/11.74 | X1 = X0
% 11.53/11.74 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_507]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5938,plain,
% 11.53/11.74 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.53/11.74 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 11.53/11.74 | X1 = X0 ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_5937]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_489,plain,
% 11.53/11.74 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.53/11.74 | X2 = X1
% 11.53/11.74 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4435_1) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5901,plain,
% 11.53/11.74 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.53/11.74 | X2 = X1
% 11.53/11.74 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_489]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5902,plain,
% 11.53/11.74 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.53/11.74 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 11.53/11.74 | X1 = X0 ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_5901]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_487,plain,
% 11.53/11.74 ( X0 = X1
% 11.53/11.74 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.53/11.74 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4435_3) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5897,plain,
% 11.53/11.74 ( X0 = X1
% 11.53/11.74 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.53/11.74 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_487]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5898,plain,
% 11.53/11.74 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.53/11.74 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 11.53/11.74 | X0 = X1 ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_5897]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_422,plain,
% 11.53/11.74 ( X0 = X1
% 11.53/11.74 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4466_2) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5767,plain,
% 11.53/11.74 ( X0 = X1
% 11.53/11.74 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_422]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5768,plain,
% 11.53/11.74 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.53/11.74 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.53/11.74 | X0 = X1 ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_5767]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_370,plain,
% 11.53/11.74 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.53/11.74 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.53/11.74 | ~ class_Power_Opower(X1)
% 11.53/11.74 | ~ class_Ring__and__Field_Omult__zero(X1)
% 11.53/11.74 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 11.53/11.74 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4486_5) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5663,plain,
% 11.53/11.74 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.53/11.74 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.53/11.74 | ~ class_Power_Opower(X1)
% 11.53/11.74 | ~ class_Ring__and__Field_Omult__zero(X1)
% 11.53/11.74 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 11.53/11.74 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_370]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5664,plain,
% 11.53/11.74 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.53/11.74 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 11.53/11.74 | ~ class_Ring__and__Field_Omult__zero(X0)
% 11.53/11.74 | ~ class_Power_Opower(X0)
% 11.53/11.74 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.53/11.74 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_5663]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_185,plain,
% 11.53/11.74 ( 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))) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3796_0) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5294,plain,
% 11.53/11.74 ( 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))) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_185]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5295,plain,
% 11.53/11.74 ( 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))) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_5294]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_179,plain,
% 11.53/11.74 ( 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)) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3831_0) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5286,plain,
% 11.53/11.74 ( 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)) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_179]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5287,plain,
% 11.53/11.74 ( 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)) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_5286]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_178,plain,
% 11.53/11.74 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3832_0) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5284,plain,
% 11.53/11.74 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_178]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5285,plain,
% 11.53/11.74 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_5284]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_161,plain,
% 11.53/11.74 ( c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3948_0) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5263,plain,
% 11.53/11.74 ( c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_161]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5264,plain,
% 11.53/11.74 ( c_Type_Otypings(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_5263]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_160,plain,
% 11.53/11.74 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3949_0) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5261,plain,
% 11.53/11.74 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_160]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_5262,plain,
% 11.53/11.74 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_5261]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_2216,negated_conjecture,
% 11.53/11.74 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_2809,negated_conjecture,
% 11.53/11.74 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_2216]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_2813,negated_conjecture,
% 11.53/11.74 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_2809]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_2814,negated_conjecture,
% 11.53/11.74 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_2813]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_2815,negated_conjecture,
% 11.53/11.74 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_2814]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_9355,negated_conjecture,
% 11.53/11.74 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_2815]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_2206,plain,
% 11.53/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X3),hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X4))
% 11.53/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3742_1) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_9335,plain,
% 11.53/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X3),hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X4))
% 11.53/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_2206]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_9336,plain,
% 11.53/11.74 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.53/11.74 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,X8),hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X9)) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_9335]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_2204,plain,
% 11.53/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 11.53/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3743_1) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_9331,plain,
% 11.53/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 11.53/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_2204]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_9332,plain,
% 11.53/11.74 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.53/11.74 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),hAPP(hAPP(X1,X7),X9)) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_9331]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_2202,plain,
% 11.53/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X3),X4)))
% 11.53/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3744_1) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_9327,plain,
% 11.53/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X3),X4)))
% 11.53/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_2202]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_9328,plain,
% 11.53/11.74 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.53/11.74 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X8),X9))) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_9327]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_2200,plain,
% 11.53/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 11.53/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X0,X5,X6,X7,X8,X9) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3745_1) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_9323,plain,
% 11.53/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 11.53/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X0,X5,X6,X7,X8,X9) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_2200]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_9324,plain,
% 11.53/11.74 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.53/11.74 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),hAPP(hAPP(X0,X8),X9)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),hAPP(hAPP(X0,X7),X9)) ),
% 11.53/11.74 inference(rewriting,[status(thm)],[c_9323]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_2196,plain,
% 11.53/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 11.53/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 11.53/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3747_1) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_9315,plain,
% 11.53/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 11.53/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 11.53/11.74 inference(copy,[status(esa)],[c_2196]) ).
% 11.53/11.74
% 11.53/11.74 cnf(c_9316,plain,
% 11.53/11.74 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.53/11.74 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 11.54/11.74 inference(rewriting,[status(thm)],[c_9315]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_2194,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 11.54/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3748_1) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9311,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 11.54/11.74 inference(copy,[status(esa)],[c_2194]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9312,plain,
% 11.54/11.74 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.74 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 11.54/11.74 inference(rewriting,[status(thm)],[c_9311]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_2192,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4))
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 11.54/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3749_1) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9307,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4))
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 11.54/11.74 inference(copy,[status(esa)],[c_2192]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9308,plain,
% 11.54/11.74 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.74 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X6),X8)) = hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X7),X8)) ),
% 11.54/11.74 inference(rewriting,[status(thm)],[c_9307]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_2190,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X4,X7) ),
% 11.54/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3750_1) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9303,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X4,X7) ),
% 11.54/11.74 inference(copy,[status(esa)],[c_2190]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9304,plain,
% 11.54/11.74 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.74 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 11.54/11.74 inference(rewriting,[status(thm)],[c_9303]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_2188,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 11.54/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3751_1) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9299,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 11.54/11.74 inference(copy,[status(esa)],[c_2188]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9300,plain,
% 11.54/11.74 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.74 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 11.54/11.74 inference(rewriting,[status(thm)],[c_9299]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_2186,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 11.54/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3752_1) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9295,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 11.54/11.74 inference(copy,[status(esa)],[c_2186]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9296,plain,
% 11.54/11.74 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.74 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 11.54/11.74 inference(rewriting,[status(thm)],[c_9295]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_2184,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 11.54/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3753_1) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9291,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 11.54/11.74 inference(copy,[status(esa)],[c_2184]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9292,plain,
% 11.54/11.74 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.74 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 11.54/11.74 inference(rewriting,[status(thm)],[c_9291]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_2182,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat))
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X4,X5,X0,X6,X7,X8) ),
% 11.54/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3754_1) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9287,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat))
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X4,X5,X0,X6,X7,X8) ),
% 11.54/11.74 inference(copy,[status(esa)],[c_2182]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9288,plain,
% 11.54/11.74 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.74 | hAPP(hAPP(X2,hAPP(hAPP(X2,X6),X7)),X8) = hAPP(hAPP(X2,X6),c_HOL_Otimes__class_Otimes(X7,X8,tc_nat)) ),
% 11.54/11.74 inference(rewriting,[status(thm)],[c_9287]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_2180,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X4)),X1)
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X5,X6,X4,X7) ),
% 11.54/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3755_1) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9283,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X4)),X1)
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X5,X6,X4,X7) ),
% 11.54/11.74 inference(copy,[status(esa)],[c_2180]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9284,plain,
% 11.54/11.74 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.74 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 11.54/11.74 inference(rewriting,[status(thm)],[c_9283]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_2170,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 11.54/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3760_1) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9263,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 11.54/11.74 inference(copy,[status(esa)],[c_2170]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9264,plain,
% 11.54/11.74 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.74 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 11.54/11.74 inference(rewriting,[status(thm)],[c_9263]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_2168,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 11.54/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3761_1) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9259,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 11.54/11.74 inference(copy,[status(esa)],[c_2168]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9260,plain,
% 11.54/11.74 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.74 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 11.54/11.74 inference(rewriting,[status(thm)],[c_9259]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_2166,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2) = hAPP(hAPP(X1,X2),c_Suc(X3))
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X1,X5,X6,X7) ),
% 11.54/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3762_1) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9255,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2) = hAPP(hAPP(X1,X2),c_Suc(X3))
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X1,X5,X6,X7) ),
% 11.54/11.74 inference(copy,[status(esa)],[c_2166]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9256,plain,
% 11.54/11.74 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.74 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 11.54/11.74 inference(rewriting,[status(thm)],[c_9255]) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_2164,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X3)),X1)
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X4,X5,X3,X6) ),
% 11.54/11.74 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3763_1) ).
% 11.54/11.74
% 11.54/11.74 cnf(c_9251,plain,
% 11.54/11.74 ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X3)),X1)
% 11.54/11.74 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X4,X5,X3,X6) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2164]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9252,plain,
% 11.54/11.75 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.75 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9251]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2162,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3764_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9247,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2162]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9248,plain,
% 11.54/11.75 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.75 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9247]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2160,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3765_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9243,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2160]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9244,plain,
% 11.54/11.75 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.75 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9243]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2154,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)) = hAPP(hAPP(X2,X1),c_Suc(X3))
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3768_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9231,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)) = hAPP(hAPP(X2,X1),c_Suc(X3))
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2154]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9232,plain,
% 11.54/11.75 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.75 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9231]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2148,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X5,X6,X7) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3771_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9219,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X5,X6,X7) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2148]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9220,plain,
% 11.54/11.75 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.75 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9219]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2146,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X6,X7) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3772_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9215,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X6,X7) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2146]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9216,plain,
% 11.54/11.75 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.75 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9215]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2144,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X3,X4,X0,X5,X2,X6) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3773_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9211,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X3,X4,X0,X5,X2,X6) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2144]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9212,plain,
% 11.54/11.75 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.75 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9211]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2140,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),X2) = X1
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X2,X5,X6) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3775_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9203,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),X2) = X1
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X2,X5,X6) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2140]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9204,plain,
% 11.54/11.75 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.75 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9203]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2136,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),X2) = X2
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X2,X5,X6) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3777_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9195,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),X2) = X2
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X2,X5,X6) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2136]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9196,plain,
% 11.54/11.75 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.75 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9195]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2132,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),X2) = X1
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X2,X6) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3779_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9187,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),X2) = X1
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X2,X6) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2132]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9188,plain,
% 11.54/11.75 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.75 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9187]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2130,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),X2) = X2
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X1,X5,X6) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3780_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9183,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),X2) = X2
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X1,X5,X6) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2130]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9184,plain,
% 11.54/11.75 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.75 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9183]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2128,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),X2) = X1
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X1,X5,X6) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3781_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9179,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),X2) = X1
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X1,X5,X6) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2128]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9180,plain,
% 11.54/11.75 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.75 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9179]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2126,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),X2) = X2
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X1,X6) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3782_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9175,plain,
% 11.54/11.75 ( hAPP(hAPP(X0,X1),X2) = X2
% 11.54/11.75 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X1,X6) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2126]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9176,plain,
% 11.54/11.75 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.54/11.75 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9175]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2122,plain,
% 11.54/11.75 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 11.54/11.75 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3785_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9167,plain,
% 11.54/11.75 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 11.54/11.75 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2122]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2120,plain,
% 11.54/11.75 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 11.54/11.75 | X4 = X3
% 11.54/11.75 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3786_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9163,plain,
% 11.54/11.75 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 11.54/11.75 | X4 = X3
% 11.54/11.75 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2120]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9164,plain,
% 11.54/11.75 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 11.54/11.75 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 11.54/11.75 | X4 = X3 ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9163]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2115,plain,
% 11.54/11.75 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 11.54/11.75 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3788_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9153,plain,
% 11.54/11.75 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 11.54/11.75 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2115]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2111,plain,
% 11.54/11.75 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 11.54/11.75 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3790_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9145,plain,
% 11.54/11.75 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 11.54/11.75 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2111]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2109,plain,
% 11.54/11.75 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 11.54/11.75 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3791_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9141,plain,
% 11.54/11.75 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 11.54/11.75 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2109]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2107,plain,
% 11.54/11.75 ( 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))
% 11.54/11.75 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3792_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9137,plain,
% 11.54/11.75 ( 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))
% 11.54/11.75 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2107]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9138,plain,
% 11.54/11.75 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 11.54/11.75 | 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)) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9137]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2105,plain,
% 11.54/11.75 ( 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))
% 11.54/11.75 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3793_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9133,plain,
% 11.54/11.75 ( 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))
% 11.54/11.75 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2105]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9134,plain,
% 11.54/11.75 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 11.54/11.75 | 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)) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9133]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2102,plain,
% 11.54/11.75 ( c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 11.54/11.75 | ~ c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 11.54/11.75 | ~ c_InductTermi_OIT(X1) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3794_2) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9127,plain,
% 11.54/11.75 ( c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 11.54/11.75 | ~ c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 11.54/11.75 | ~ c_InductTermi_OIT(X1) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2102]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2099,plain,
% 11.54/11.75 ( c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 11.54/11.75 | ~ c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,X4,X3,tc_Type_Otype,tc_Type_Otype))
% 11.54/11.75 | ~ c_Type_Otypings(X0,X2,X4) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3795_2) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9121,plain,
% 11.54/11.75 ( c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 11.54/11.75 | ~ c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,X4,X3,tc_Type_Otype,tc_Type_Otype))
% 11.54/11.75 | ~ c_Type_Otypings(X0,X2,X4) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2099]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2097,plain,
% 11.54/11.75 ( c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB))
% 11.54/11.75 | ~ c_Lambda_Obeta(X0,X2) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3800_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9117,plain,
% 11.54/11.75 ( c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB))
% 11.54/11.75 | ~ c_Lambda_Obeta(X0,X2) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2097]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2095,plain,
% 11.54/11.75 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X3,X1))
% 11.54/11.75 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3801_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9113,plain,
% 11.54/11.75 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X3,X1))
% 11.54/11.75 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2095]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9114,plain,
% 11.54/11.75 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 11.54/11.75 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X0,X1,X2)) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9113]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2093,plain,
% 11.54/11.75 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X3,X1))
% 11.54/11.75 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3802_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9109,plain,
% 11.54/11.75 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X3,X1))
% 11.54/11.75 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2093]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9110,plain,
% 11.54/11.75 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 11.54/11.75 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2)) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9109]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2091,plain,
% 11.54/11.75 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
% 11.54/11.75 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3803_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9105,plain,
% 11.54/11.75 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
% 11.54/11.75 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2091]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9106,plain,
% 11.54/11.75 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 11.54/11.75 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X0,X1,X2)) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9105]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2089,plain,
% 11.54/11.75 ( X0 = X1
% 11.54/11.75 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3804_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9101,plain,
% 11.54/11.75 ( X0 = X1
% 11.54/11.75 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2089]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9102,plain,
% 11.54/11.75 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 11.54/11.75 | X0 = X2 ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9101]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2087,plain,
% 11.54/11.75 ( X0 = X1
% 11.54/11.75 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3805_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9097,plain,
% 11.54/11.75 ( X0 = X1
% 11.54/11.75 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2087]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9098,plain,
% 11.54/11.75 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 11.54/11.75 | X1 = X3 ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9097]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2085,plain,
% 11.54/11.75 ( X0 = X1
% 11.54/11.75 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3806_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9093,plain,
% 11.54/11.75 ( X0 = X1
% 11.54/11.75 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2085]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9094,plain,
% 11.54/11.75 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 11.54/11.75 | X0 = X2 ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9093]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2083,plain,
% 11.54/11.75 ( X0 = X1
% 11.54/11.75 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3807_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9089,plain,
% 11.54/11.75 ( X0 = X1
% 11.54/11.75 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2083]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9090,plain,
% 11.54/11.75 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 11.54/11.75 | X1 = X3 ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9089]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2081,plain,
% 11.54/11.75 ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0))
% 11.54/11.75 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3808_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9085,plain,
% 11.54/11.75 ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0))
% 11.54/11.75 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2081]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9086,plain,
% 11.54/11.75 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 11.54/11.75 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0)) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9085]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2079,plain,
% 11.54/11.75 ( X0 = X1
% 11.54/11.75 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3810_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9081,plain,
% 11.54/11.75 ( X0 = X1
% 11.54/11.75 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2079]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9082,plain,
% 11.54/11.75 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB)
% 11.54/11.75 | X0 = X2 ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9081]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2077,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3812_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9077,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2077]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9078,plain,
% 11.54/11.75 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 11.54/11.75 | 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) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9077]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2075,plain,
% 11.54/11.75 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 11.54/11.75 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3813_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9073,plain,
% 11.54/11.75 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 11.54/11.75 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2075]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9074,plain,
% 11.54/11.75 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 11.54/11.75 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9073]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2069,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3816_2) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9061,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2069]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2063,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3818_2) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9049,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2063]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2057,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ c_lessequals(X3,X0,tc_nat)
% 11.54/11.75 | ~ 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) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3820_2) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9037,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ c_lessequals(X3,X0,tc_nat)
% 11.54/11.75 | ~ 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) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2057]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9038,plain,
% 11.54/11.75 ( ~ 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)
% 11.54/11.75 | 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)
% 11.54/11.75 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_9037]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2048,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3823_2) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9019,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2048]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2042,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3825_2) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_9007,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2042]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2036,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ c_lessequals(X2,X1,tc_nat)
% 11.54/11.75 | ~ 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) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3827_2) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8995,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ c_lessequals(X2,X1,tc_nat)
% 11.54/11.75 | ~ 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) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2036]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8996,plain,
% 11.54/11.75 ( ~ 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)
% 11.54/11.75 | 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)
% 11.54/11.75 | ~ c_lessequals(X0,X3,tc_nat) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_8995]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2025,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ c_lessequals(X3,X0,tc_nat) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3834_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8973,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ c_lessequals(X3,X0,tc_nat) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2025]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8974,plain,
% 11.54/11.75 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.75 | 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) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_8973]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2023,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ c_lessequals(X0,X3,tc_nat) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3835_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8969,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ c_lessequals(X0,X3,tc_nat) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2023]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8970,plain,
% 11.54/11.75 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.75 | 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) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_8969]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2021,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3836_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8965,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2021]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8966,plain,
% 11.54/11.75 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 11.54/11.75 | 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) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_8965]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2019,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3837_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8961,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2019]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8962,plain,
% 11.54/11.75 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 11.54/11.75 | 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) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_8961]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2017,plain,
% 11.54/11.75 ( c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X1,X3)),X2))
% 11.54/11.75 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3),X2) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3839_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8957,plain,
% 11.54/11.75 ( c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X1,X3)),X2))
% 11.54/11.75 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3),X2) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2017]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8958,plain,
% 11.54/11.75 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 11.54/11.75 | c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)),X3)) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_8957]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2013,plain,
% 11.54/11.75 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 11.54/11.75 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X4,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3),t_a))) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3841_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8949,plain,
% 11.54/11.75 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 11.54/11.75 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X4,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3),t_a))) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2013]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2009,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3845_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8941,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2009]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8942,plain,
% 11.54/11.75 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.75 | 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) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_8941]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2005,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3847_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8933,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2005]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8934,plain,
% 11.54/11.75 ( ~ class_Ring__and__Field_Oring(X0)
% 11.54/11.75 | 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) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_8933]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2003,plain,
% 11.54/11.75 ( X0 = c_Lambda_OdB_OAbs(X1)
% 11.54/11.75 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3848_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8929,plain,
% 11.54/11.75 ( X0 = c_Lambda_OdB_OAbs(X1)
% 11.54/11.75 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2003]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8930,plain,
% 11.54/11.75 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 11.54/11.75 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_8929]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_2001,plain,
% 11.54/11.75 ( c_Lambda_OdB_OVar(X0) = X1
% 11.54/11.75 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3849_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8925,plain,
% 11.54/11.75 ( c_Lambda_OdB_OVar(X0) = X1
% 11.54/11.75 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_2001]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8926,plain,
% 11.54/11.75 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 11.54/11.75 | c_Lambda_OdB_OVar(X0) = X1 ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_8925]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_1999,plain,
% 11.54/11.75 ( c_Lambda_OdB_OAbs(X0) = X1
% 11.54/11.75 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3850_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8921,plain,
% 11.54/11.75 ( c_Lambda_OdB_OAbs(X0) = X1
% 11.54/11.75 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_1999]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8922,plain,
% 11.54/11.75 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 11.54/11.75 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_8921]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_1995,plain,
% 11.54/11.75 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 11.54/11.75 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X3,c_Type_Otype_OAtom(X2),t_a))) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3852_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8913,plain,
% 11.54/11.75 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 11.54/11.75 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X3,c_Type_Otype_OAtom(X2),t_a))) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_1995]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_1991,plain,
% 11.54/11.75 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 11.54/11.75 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X3,X1,c_Suc(X2),t_a))) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3854_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8905,plain,
% 11.54/11.75 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 11.54/11.75 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X3,X1,c_Suc(X2),t_a))) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_1991]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_1989,plain,
% 11.54/11.75 ( hBOOL(hAPP(X0,X1))
% 11.54/11.75 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a))) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3855_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8901,plain,
% 11.54/11.75 ( hBOOL(hAPP(X0,X1))
% 11.54/11.75 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a))) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_1989]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8902,plain,
% 11.54/11.75 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
% 11.54/11.75 | hBOOL(hAPP(X0,X1)) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_8901]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_1980,plain,
% 11.54/11.75 ( 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
% 11.54/11.75 | 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3858_2) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8883,plain,
% 11.54/11.75 ( 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
% 11.54/11.75 | 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_1980]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8884,plain,
% 11.54/11.75 ( ~ class_Ring__and__Field_Oring(X0)
% 11.54/11.75 | 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
% 11.54/11.75 | 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) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_8883]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_1977,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Oring(X1) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3859_2) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8877,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Oring(X1) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_1977]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8878,plain,
% 11.54/11.75 ( ~ class_Ring__and__Field_Oring(X0)
% 11.54/11.75 | 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)
% 11.54/11.75 | 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) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_8877]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_1975,plain,
% 11.54/11.75 ( ~ 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3860_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8873,plain,
% 11.54/11.75 ( ~ 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_1975]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_1973,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3862_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8869,plain,
% 11.54/11.75 ( 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_1973]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8870,plain,
% 11.54/11.75 ( ~ class_Ring__and__Field_Osemiring(X0)
% 11.54/11.75 | 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) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_8869]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_1965,plain,
% 11.54/11.75 ( ~ 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3867_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8853,plain,
% 11.54/11.75 ( ~ 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)
% 11.54/11.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_1965]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_1963,plain,
% 11.54/11.75 ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Olistsum(X1,X0)
% 11.54/11.75 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3868_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8849,plain,
% 11.54/11.75 ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Olistsum(X1,X0)
% 11.54/11.75 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_1963]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8850,plain,
% 11.54/11.75 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 11.54/11.75 | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Olistsum(X1,X0) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_8849]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_1961,plain,
% 11.54/11.75 ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0)
% 11.54/11.75 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3869_1) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8845,plain,
% 11.54/11.75 ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0)
% 11.54/11.75 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.75 inference(copy,[status(esa)],[c_1961]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8846,plain,
% 11.54/11.75 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 11.54/11.75 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0) ),
% 11.54/11.75 inference(rewriting,[status(thm)],[c_8845]) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_1955,plain,
% 11.54/11.75 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.54/11.75 | ~ class_Int_Onumber__ring(X0)
% 11.54/11.75 | 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))
% 11.54/11.75 | X2 = X4
% 11.54/11.75 | X1 = X3 ),
% 11.54/11.75 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3876_0) ).
% 11.54/11.75
% 11.54/11.75 cnf(c_8833,plain,
% 11.54/11.75 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.54/11.75 | ~ class_Int_Onumber__ring(X0)
% 11.54/11.75 | 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))
% 11.54/11.76 | X2 = X4
% 11.54/11.76 | X1 = X3 ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1955]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1951,plain,
% 11.54/11.76 ( X0 = X1
% 11.54/11.76 | X2 = X3
% 11.54/11.76 | 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))
% 11.54/11.76 | ~ class_Int_Onumber__ring(X4)
% 11.54/11.76 | ~ class_Ring__and__Field_Oidom(X4) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3876_4) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8825,plain,
% 11.54/11.76 ( X0 = X1
% 11.54/11.76 | X2 = X3
% 11.54/11.76 | 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))
% 11.54/11.76 | ~ class_Int_Onumber__ring(X4)
% 11.54/11.76 | ~ class_Ring__and__Field_Oidom(X4) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1951]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8826,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.54/11.76 | ~ class_Int_Onumber__ring(X0)
% 11.54/11.76 | 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))
% 11.54/11.76 | X1 = X3
% 11.54/11.76 | X2 = X4 ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8825]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1947,plain,
% 11.54/11.76 ( 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))
% 11.54/11.76 | X1 = X3
% 11.54/11.76 | X0 = X2 ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3878_0) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8817,plain,
% 11.54/11.76 ( 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))
% 11.54/11.76 | X1 = X3
% 11.54/11.76 | X0 = X2 ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1947]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1945,plain,
% 11.54/11.76 ( X0 = X1
% 11.54/11.76 | X2 = X3
% 11.54/11.76 | 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)) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3878_2) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8813,plain,
% 11.54/11.76 ( X0 = X1
% 11.54/11.76 | X2 = X3
% 11.54/11.76 | 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)) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1945]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8814,plain,
% 11.54/11.76 ( 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))
% 11.54/11.76 | X0 = X2
% 11.54/11.76 | X1 = X3 ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8813]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1928,plain,
% 11.54/11.76 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),hAPP(hAPP(c_Type_Otype_OFun,X2),X3))
% 11.54/11.76 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3882_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8779,plain,
% 11.54/11.76 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),hAPP(hAPP(c_Type_Otype_OFun,X2),X3))
% 11.54/11.76 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1928]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8780,plain,
% 11.54/11.76 ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 11.54/11.76 | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),hAPP(hAPP(c_Type_Otype_OFun,X1),X3)) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8779]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1924,plain,
% 11.54/11.76 ( hBOOL(hAPP(X0,X1))
% 11.54/11.76 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3884_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8771,plain,
% 11.54/11.76 ( hBOOL(hAPP(X0,X1))
% 11.54/11.76 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1924]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8772,plain,
% 11.54/11.76 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 11.54/11.76 | hBOOL(hAPP(X0,X2)) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8771]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1922,plain,
% 11.54/11.76 ( c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X1,X0,X2),tc_Type_Otype),X2,c_Type_Osko__Type__Xtyping__elims__3__2(X1,X0,X2))
% 11.54/11.76 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),X1) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3885_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8767,plain,
% 11.54/11.76 ( c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X1,X0,X2),tc_Type_Otype),X2,c_Type_Osko__Type__Xtyping__elims__3__2(X1,X0,X2))
% 11.54/11.76 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),X1) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1922]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1920,plain,
% 11.54/11.76 ( 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3886_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8763,plain,
% 11.54/11.76 ( 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1920]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1918,plain,
% 11.54/11.76 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X1,X3),c_Orderings_Oord__class_Omax(X0,X2,X3),X3),X3)
% 11.54/11.76 | ~ class_Orderings_Olinorder(X3) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3887_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8759,plain,
% 11.54/11.76 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X1,X3),c_Orderings_Oord__class_Omax(X0,X2,X3),X3),X3)
% 11.54/11.76 | ~ class_Orderings_Olinorder(X3) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1918]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8760,plain,
% 11.54/11.76 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.76 | c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X0),c_Orderings_Oord__class_Omax(X1,X3,X0),X0),X0) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8759]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1916,plain,
% 11.54/11.76 ( c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X1,X2),c_Orderings_Oord__class_Omin(X0,X3,X2),X2),c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2),X2)
% 11.54/11.76 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3888_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8755,plain,
% 11.54/11.76 ( c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X1,X2),c_Orderings_Oord__class_Omin(X0,X3,X2),X2),c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2),X2)
% 11.54/11.76 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1916]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8756,plain,
% 11.54/11.76 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.76 | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X0),c_Orderings_Oord__class_Omin(X1,X3,X0),X0),c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0),X0) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8755]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1908,plain,
% 11.54/11.76 ( 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3891_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8739,plain,
% 11.54/11.76 ( 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1908]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1902,plain,
% 11.54/11.76 ( 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))
% 11.54/11.76 | ~ class_Int_Onumber__ring(X0)
% 11.54/11.76 | ~ class_Ring__and__Field_Oidom(X0) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3893_2) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8727,plain,
% 11.54/11.76 ( 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))
% 11.54/11.76 | ~ class_Int_Onumber__ring(X0)
% 11.54/11.76 | ~ class_Ring__and__Field_Oidom(X0) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1902]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8728,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.54/11.76 | ~ class_Int_Onumber__ring(X0)
% 11.54/11.76 | 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)) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8727]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1900,plain,
% 11.54/11.76 ( c_Type_Otyping(X0,X1,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X3,X1))
% 11.54/11.76 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X2) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3894_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8723,plain,
% 11.54/11.76 ( c_Type_Otyping(X0,X1,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X3,X1))
% 11.54/11.76 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X2) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1900]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8724,plain,
% 11.54/11.76 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 11.54/11.76 | c_Type_Otyping(X0,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8723]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1898,plain,
% 11.54/11.76 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4))
% 11.54/11.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3895_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8719,plain,
% 11.54/11.76 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4))
% 11.54/11.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1898]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8720,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.76 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8719]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1896,plain,
% 11.54/11.76 ( c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xabs__typeE__1__1(X0,X1),tc_Type_Otype),X1,c_Type_Osko__Type__Xabs__typeE__1__2(X0,X1))
% 11.54/11.76 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3896_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8715,plain,
% 11.54/11.76 ( c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xabs__typeE__1__1(X0,X1),tc_Type_Otype),X1,c_Type_Osko__Type__Xabs__typeE__1__2(X0,X1))
% 11.54/11.76 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1896]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1894,plain,
% 11.54/11.76 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
% 11.54/11.76 | ~ c_Type_Otyping(X0,X3,X4) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3899_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8711,plain,
% 11.54/11.76 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
% 11.54/11.76 | ~ c_Type_Otyping(X0,X3,X4) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1894]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1892,plain,
% 11.54/11.76 ( 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3900_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8707,plain,
% 11.54/11.76 ( 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1892]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8708,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.76 | 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) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8707]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1890,plain,
% 11.54/11.76 ( 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3901_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8703,plain,
% 11.54/11.76 ( 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1890]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8704,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.76 | 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) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8703]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1886,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.76 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3903_3) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8695,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.76 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1886]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8696,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.76 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8695]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1880,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 11.54/11.76 | ~ c_lessequals(X2,X3,X0)
% 11.54/11.76 | ~ c_lessequals(X1,X4,X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3904_3) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8683,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 11.54/11.76 | ~ c_lessequals(X2,X3,X0)
% 11.54/11.76 | ~ c_lessequals(X1,X4,X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1880]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8684,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 11.54/11.76 | ~ c_lessequals(X2,X3,X0)
% 11.54/11.76 | ~ c_lessequals(X1,X4,X0) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8683]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1874,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 11.54/11.76 | ~ c_lessequals(X2,X3,X0)
% 11.54/11.76 | ~ c_lessequals(X1,X4,X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3905_3) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8671,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 11.54/11.76 | ~ c_lessequals(X2,X3,X0)
% 11.54/11.76 | ~ c_lessequals(X1,X4,X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1874]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8672,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 11.54/11.76 | ~ c_lessequals(X3,X2,X0)
% 11.54/11.76 | ~ c_lessequals(X1,X4,X0) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8671]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1854,plain,
% 11.54/11.76 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3908_5) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8631,plain,
% 11.54/11.76 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1854]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8632,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.76 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8631]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1849,plain,
% 11.54/11.76 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.54/11.76 | ~ c_lessequals(X1,X2,tc_nat)
% 11.54/11.76 | ~ c_lessequals(X1,X0,tc_nat)
% 11.54/11.76 | c_lessequals(X0,X2,tc_nat) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3910_0) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8621,plain,
% 11.54/11.76 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.54/11.76 | ~ c_lessequals(X1,X2,tc_nat)
% 11.54/11.76 | ~ c_lessequals(X1,X0,tc_nat)
% 11.54/11.76 | c_lessequals(X0,X2,tc_nat) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1849]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1848,plain,
% 11.54/11.76 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.54/11.76 | ~ c_lessequals(X1,X2,tc_nat)
% 11.54/11.76 | c_lessequals(X0,X2,tc_nat)
% 11.54/11.76 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3910_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8619,plain,
% 11.54/11.76 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.54/11.76 | ~ c_lessequals(X1,X2,tc_nat)
% 11.54/11.76 | c_lessequals(X0,X2,tc_nat)
% 11.54/11.76 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1848]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1846,plain,
% 11.54/11.76 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.76 | ~ c_lessequals(X2,X0,tc_nat)
% 11.54/11.76 | ~ c_lessequals(X2,X1,tc_nat)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3910_3) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8615,plain,
% 11.54/11.76 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.76 | ~ c_lessequals(X2,X0,tc_nat)
% 11.54/11.76 | ~ c_lessequals(X2,X1,tc_nat)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1846]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8616,plain,
% 11.54/11.76 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.54/11.76 | c_lessequals(X0,X2,tc_nat)
% 11.54/11.76 | ~ c_lessequals(X1,X0,tc_nat)
% 11.54/11.76 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8615]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1842,plain,
% 11.54/11.76 ( c_lessequals(X0,X1,X2)
% 11.54/11.76 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3911_3) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8607,plain,
% 11.54/11.76 ( c_lessequals(X0,X1,X2)
% 11.54/11.76 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1842]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8608,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.76 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 11.54/11.76 | c_lessequals(X2,X1,X0) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8607]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1840,plain,
% 11.54/11.76 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3912_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8603,plain,
% 11.54/11.76 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1840]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8604,plain,
% 11.54/11.76 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.76 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8603]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1837,plain,
% 11.54/11.76 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.76 | 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3913_2) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8597,plain,
% 11.54/11.76 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.76 | 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1837]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8598,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.54/11.76 | 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)
% 11.54/11.76 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8597]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1834,plain,
% 11.54/11.76 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.76 | 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3914_2) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8591,plain,
% 11.54/11.76 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.76 | 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1834]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8592,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.54/11.76 | 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)
% 11.54/11.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8591]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1806,plain,
% 11.54/11.76 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3922_3) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8535,plain,
% 11.54/11.76 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1806]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8536,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 11.54/11.76 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8535]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1802,plain,
% 11.54/11.76 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3923_3) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8527,plain,
% 11.54/11.76 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1802]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8528,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 11.54/11.76 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8527]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1798,plain,
% 11.54/11.76 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3924_3) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8519,plain,
% 11.54/11.76 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1798]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8520,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 11.54/11.76 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8519]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1794,plain,
% 11.54/11.76 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3925_3) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8511,plain,
% 11.54/11.76 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1794]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8512,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 11.54/11.76 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8511]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1790,plain,
% 11.54/11.76 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3926_3) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8503,plain,
% 11.54/11.76 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.54/11.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1790]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8504,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 11.54/11.76 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8503]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1781,plain,
% 11.54/11.76 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3929_2) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8485,plain,
% 11.54/11.76 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.76 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1781]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8486,plain,
% 11.54/11.76 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 11.54/11.76 | c_lessequals(X1,X2,tc_nat)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8485]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1768,plain,
% 11.54/11.76 ( X0 = X1
% 11.54/11.76 | 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) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3933_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8459,plain,
% 11.54/11.76 ( X0 = X1
% 11.54/11.76 | 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) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1768]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8460,plain,
% 11.54/11.76 ( 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)
% 11.54/11.76 | X1 = X4 ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8459]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1766,plain,
% 11.54/11.76 ( X0 = X1
% 11.54/11.76 | 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) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3934_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8455,plain,
% 11.54/11.76 ( X0 = X1
% 11.54/11.76 | 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) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1766]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8456,plain,
% 11.54/11.76 ( 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)
% 11.54/11.76 | X0 = X3 ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8455]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1743,plain,
% 11.54/11.76 ( 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3940_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8409,plain,
% 11.54/11.76 ( 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1743]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8410,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.76 | 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) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8409]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1733,plain,
% 11.54/11.76 ( 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3943_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8389,plain,
% 11.54/11.76 ( 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1733]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8390,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.76 | 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) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8389]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1731,plain,
% 11.54/11.76 ( 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3944_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8385,plain,
% 11.54/11.76 ( 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1731]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8386,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 11.54/11.76 | 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) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8385]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1727,plain,
% 11.54/11.76 ( 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3946_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8377,plain,
% 11.54/11.76 ( 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)
% 11.54/11.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1727]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8378,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.76 | 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) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8377]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1725,plain,
% 11.54/11.76 ( c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omax(X1,X3,X0)),X2)
% 11.54/11.76 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3950_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8373,plain,
% 11.54/11.76 ( c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omax(X1,X3,X0)),X2)
% 11.54/11.76 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1725]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8374,plain,
% 11.54/11.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.54/11.76 | c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omax(X1,X3,X0)),X2) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8373]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1723,plain,
% 11.54/11.76 ( c_Orderings_Oord__class_Omin(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omin(X1,X3,X0)),X2)
% 11.54/11.76 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3951_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8369,plain,
% 11.54/11.76 ( c_Orderings_Oord__class_Omin(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omin(X1,X3,X0)),X2)
% 11.54/11.76 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1723]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8370,plain,
% 11.54/11.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.54/11.76 | c_Orderings_Oord__class_Omin(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omin(X1,X3,X0)),X2) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8369]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1718,plain,
% 11.54/11.76 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.76 | X2 = X3
% 11.54/11.76 | 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))
% 11.54/11.76 | ~ class_Int_Onumber__ring(X1)
% 11.54/11.76 | ~ class_Ring__and__Field_Oidom(X1) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3952_4) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8359,plain,
% 11.54/11.76 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.76 | X2 = X3
% 11.54/11.76 | 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))
% 11.54/11.76 | ~ class_Int_Onumber__ring(X1)
% 11.54/11.76 | ~ class_Ring__and__Field_Oidom(X1) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1718]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8360,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.54/11.76 | ~ class_Int_Onumber__ring(X0)
% 11.54/11.76 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X4,X0))
% 11.54/11.76 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.76 | X3 = X4 ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8359]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1716,plain,
% 11.54/11.76 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 11.54/11.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3953_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8355,plain,
% 11.54/11.76 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 11.54/11.76 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1716]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8356,plain,
% 11.54/11.76 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.76 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8355]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1708,plain,
% 11.54/11.76 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.54/11.76 | ~ c_lessequals(X1,X0,tc_nat)
% 11.54/11.76 | ~ c_lessequals(X1,X2,tc_nat)
% 11.54/11.76 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3955_3) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8339,plain,
% 11.54/11.76 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.54/11.76 | ~ c_lessequals(X1,X0,tc_nat)
% 11.54/11.76 | ~ c_lessequals(X1,X2,tc_nat)
% 11.54/11.76 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1708]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1706,plain,
% 11.54/11.76 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.76 | ~ 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) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3957_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8335,plain,
% 11.54/11.76 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.76 | ~ 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) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1706]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8336,plain,
% 11.54/11.76 ( ~ 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)
% 11.54/11.76 | c_lessequals(X1,X2,tc_nat) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8335]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1704,plain,
% 11.54/11.76 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.76 | ~ 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) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3958_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8331,plain,
% 11.54/11.76 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.76 | ~ 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) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1704]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8332,plain,
% 11.54/11.76 ( ~ 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)
% 11.54/11.76 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8331]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1702,plain,
% 11.54/11.76 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),c_Suc(X2),tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)),tc_nat)
% 11.54/11.76 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3961_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8327,plain,
% 11.54/11.76 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),c_Suc(X2),tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)),tc_nat)
% 11.54/11.76 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1702]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8328,plain,
% 11.54/11.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.76 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),c_Suc(X1),tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),tc_nat) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8327]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1700,plain,
% 11.54/11.76 ( c_HOL_Ominus__class_Ominus(c_Suc(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2,tc_nat)
% 11.54/11.76 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3962_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8323,plain,
% 11.54/11.76 ( c_HOL_Ominus__class_Ominus(c_Suc(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2,tc_nat)
% 11.54/11.76 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1700]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8324,plain,
% 11.54/11.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.76 | c_HOL_Ominus__class_Ominus(c_Suc(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2,tc_nat) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8323]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1696,plain,
% 11.54/11.76 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.54/11.76 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 11.54/11.76 | ~ c_lessequals(X4,X3,X1)
% 11.54/11.76 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3963_3) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8315,plain,
% 11.54/11.76 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.54/11.76 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 11.54/11.76 | ~ c_lessequals(X4,X3,X1)
% 11.54/11.76 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1696]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1693,plain,
% 11.54/11.76 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.54/11.76 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3964_2) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8309,plain,
% 11.54/11.76 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.54/11.76 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1693]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8310,plain,
% 11.54/11.76 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.76 | hBOOL(hAPP(X2,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.54/11.76 | ~ hBOOL(hAPP(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat))) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8309]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1691,plain,
% 11.54/11.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.76 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 11.54/11.76 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3966_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8305,plain,
% 11.54/11.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.76 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 11.54/11.76 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1691]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8306,plain,
% 11.54/11.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.76 | ~ c_lessequals(X0,X2,tc_nat)
% 11.54/11.76 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8305]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1686,plain,
% 11.54/11.76 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)),X1)
% 11.54/11.76 | ~ c_lessequals(X2,X0,tc_nat) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3968_1) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8295,plain,
% 11.54/11.76 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)),X1)
% 11.54/11.76 | ~ c_lessequals(X2,X0,tc_nat) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1686]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8296,plain,
% 11.54/11.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.76 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8295]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1683,plain,
% 11.54/11.76 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.76 | X1 = X2
% 11.54/11.76 | 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)) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3969_2) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8289,plain,
% 11.54/11.76 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.76 | X1 = X2
% 11.54/11.76 | 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)) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1683]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8290,plain,
% 11.54/11.76 ( 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))
% 11.54/11.76 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.76 | X2 = X3 ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8289]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1677,plain,
% 11.54/11.76 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 11.54/11.76 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3971_2) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8277,plain,
% 11.54/11.76 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 11.54/11.76 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1677]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8278,plain,
% 11.54/11.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.54/11.76 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8277]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1674,plain,
% 11.54/11.76 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 11.54/11.76 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3972_2) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8271,plain,
% 11.54/11.76 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 11.54/11.76 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1674]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8272,plain,
% 11.54/11.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.54/11.76 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.54/11.76 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8271]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1671,plain,
% 11.54/11.76 ( c_lessequals(X0,X1,X2)
% 11.54/11.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 11.54/11.76 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3973_2) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8265,plain,
% 11.54/11.76 ( c_lessequals(X0,X1,X2)
% 11.54/11.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 11.54/11.76 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.54/11.76 inference(copy,[status(esa)],[c_1671]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8266,plain,
% 11.54/11.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.54/11.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.54/11.76 | c_lessequals(X2,X3,X0) ),
% 11.54/11.76 inference(rewriting,[status(thm)],[c_8265]) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_1668,plain,
% 11.54/11.76 ( c_lessequals(X0,X1,X2)
% 11.54/11.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 11.54/11.76 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.54/11.76 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3974_2) ).
% 11.54/11.76
% 11.54/11.76 cnf(c_8259,plain,
% 11.54/11.76 ( c_lessequals(X0,X1,X2)
% 11.54/11.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1668]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8260,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.54/11.77 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.54/11.77 | c_lessequals(X1,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8259]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1666,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.77 | ~ 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) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3975_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8255,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.77 | ~ 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) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1666]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1664,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.77 | ~ 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) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3976_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8251,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.77 | ~ 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) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1664]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1661,plain,
% 11.54/11.77 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_lessequals(X2,X1,tc_nat)
% 11.54/11.77 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3977_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8245,plain,
% 11.54/11.77 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_lessequals(X2,X1,tc_nat)
% 11.54/11.77 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1661]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8246,plain,
% 11.54/11.77 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.54/11.77 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8245]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1659,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.77 | ~ 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) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3978_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8241,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.77 | ~ 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) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1659]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8242,plain,
% 11.54/11.77 ( ~ 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)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8241]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1657,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.77 | ~ 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) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3979_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8237,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.77 | ~ 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) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1657]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8238,plain,
% 11.54/11.77 ( ~ 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)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8237]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1647,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3981_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8217,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1647]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8218,plain,
% 11.54/11.77 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8217]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1631,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3985_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8185,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1631]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8186,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8185]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1635,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3984_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8193,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1635]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8194,plain,
% 11.54/11.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8193]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1619,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3988_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8161,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1619]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8162,plain,
% 11.54/11.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8161]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1607,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3991_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8137,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1607]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1603,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.54/11.77 | ~ c_lessequals(X1,X3,X2)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3992_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8129,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.54/11.77 | ~ c_lessequals(X1,X3,X2)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1603]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8130,plain,
% 11.54/11.77 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 11.54/11.77 | ~ c_lessequals(X2,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8129]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1599,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.54/11.77 | ~ c_lessequals(X1,X3,X2)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3993_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8121,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 11.54/11.77 | ~ c_lessequals(X1,X3,X2)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1599]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8122,plain,
% 11.54/11.77 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 11.54/11.77 | ~ c_lessequals(X2,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8121]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1595,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.54/11.77 | ~ c_lessequals(X0,X3,X2)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3994_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8113,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 11.54/11.77 | ~ c_lessequals(X0,X3,X2)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1595]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8114,plain,
% 11.54/11.77 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 11.54/11.77 | ~ c_lessequals(X2,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8113]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1575,plain,
% 11.54/11.77 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 11.54/11.77 | ~ c_lessequals(X0,X3,X2)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3999_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8073,plain,
% 11.54/11.77 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 11.54/11.77 | ~ c_lessequals(X0,X3,X2)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1575]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8074,plain,
% 11.54/11.77 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 11.54/11.77 | ~ c_lessequals(X1,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8073]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1573,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4000_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8069,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1573]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8070,plain,
% 11.54/11.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.54/11.77 | 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) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8069]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1571,plain,
% 11.54/11.77 ( 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
% 11.54/11.77 | ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4001_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8065,plain,
% 11.54/11.77 ( 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
% 11.54/11.77 | ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1571]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8066,plain,
% 11.54/11.77 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 11.54/11.77 | 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 ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8065]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1567,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.54/11.77 | ~ c_lessequals(X2,X4,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4003_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8057,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.54/11.77 | ~ c_lessequals(X2,X4,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1567]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8058,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.54/11.77 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8057]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1559,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4005_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8041,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1559]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8042,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8041]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1555,plain,
% 11.54/11.77 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.54/11.77 | ~ c_lessequals(X1,X3,X0)
% 11.54/11.77 | ~ c_lessequals(X2,X4,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4006_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8033,plain,
% 11.54/11.77 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.54/11.77 | ~ c_lessequals(X1,X3,X0)
% 11.54/11.77 | ~ c_lessequals(X2,X4,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1555]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8034,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 11.54/11.77 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.54/11.77 | ~ c_lessequals(X1,X3,X0)
% 11.54/11.77 | ~ c_lessequals(X2,X4,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8033]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1553,plain,
% 11.54/11.77 ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X1,X2),c_Orderings_Oord__class_Omax(X0,X3,X2),X2) = c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4007_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8029,plain,
% 11.54/11.77 ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X1,X2),c_Orderings_Oord__class_Omax(X0,X3,X2),X2) = c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1553]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8030,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X0),c_Orderings_Oord__class_Omax(X1,X3,X0),X0) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8029]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1551,plain,
% 11.54/11.77 ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X1,X2),c_Orderings_Oord__class_Omax(X3,X1,X2),X2) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4008_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8025,plain,
% 11.54/11.77 ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X1,X2),c_Orderings_Oord__class_Omax(X3,X1,X2),X2) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1551]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8026,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X0),c_Orderings_Oord__class_Omax(X3,X2,X0),X0) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8025]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1549,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4009_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8021,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1549]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8022,plain,
% 11.54/11.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.77 | 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) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8021]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1547,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4010_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8017,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1547]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8018,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 11.54/11.77 | 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) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8017]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1545,plain,
% 11.54/11.77 ( c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4011_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8013,plain,
% 11.54/11.77 ( c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1545]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8014,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.54/11.77 | c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X3,X0),X2,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8013]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1543,plain,
% 11.54/11.77 ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X1,X2),c_Orderings_Oord__class_Omin(X0,X3,X2),X2) = c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4012_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8009,plain,
% 11.54/11.77 ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X1,X2),c_Orderings_Oord__class_Omin(X0,X3,X2),X2) = c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1543]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8010,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X0),c_Orderings_Oord__class_Omin(X1,X3,X0),X0) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8009]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1541,plain,
% 11.54/11.77 ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X1,X2),c_Orderings_Oord__class_Omin(X3,X1,X2),X2) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4013_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8005,plain,
% 11.54/11.77 ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X1,X2),c_Orderings_Oord__class_Omin(X3,X1,X2),X2) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1541]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8006,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X0),c_Orderings_Oord__class_Omin(X3,X2,X0),X0) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X3,X0),X2,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8005]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1539,plain,
% 11.54/11.77 ( c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4014_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8001,plain,
% 11.54/11.77 ( c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1539]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_8002,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.54/11.77 | c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_8001]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1524,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4019_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7971,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1524]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7972,plain,
% 11.54/11.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.77 | 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)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7971]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1527,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4018_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7977,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1527]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7978,plain,
% 11.54/11.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.77 | 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)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7977]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1518,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_lessequals(X0,X2,tc_nat)
% 11.54/11.77 | ~ c_lessequals(X1,X3,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4021_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7959,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_lessequals(X0,X2,tc_nat)
% 11.54/11.77 | ~ c_lessequals(X1,X3,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1518]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1515,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.54/11.77 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4022_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7953,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.54/11.77 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1515]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7954,plain,
% 11.54/11.77 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.77 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7953]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1512,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4023_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7947,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1512]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1502,plain,
% 11.54/11.77 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4026_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7927,plain,
% 11.54/11.77 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1502]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1500,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4027_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7923,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1500]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7924,plain,
% 11.54/11.77 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7923]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1498,plain,
% 11.54/11.77 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.77 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4028_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7919,plain,
% 11.54/11.77 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.77 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1498]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7920,plain,
% 11.54/11.77 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 11.54/11.77 | c_lessequals(X1,X2,tc_nat) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7919]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1496,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4029_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7915,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1496]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7916,plain,
% 11.54/11.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.77 | 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) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7915]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1494,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4030_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7911,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1494]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7912,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.54/11.77 | 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) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7911]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1488,plain,
% 11.54/11.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 11.54/11.77 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4033_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7899,plain,
% 11.54/11.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 11.54/11.77 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1488]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7900,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 11.54/11.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7899]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1486,plain,
% 11.54/11.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 11.54/11.77 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4034_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7895,plain,
% 11.54/11.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 11.54/11.77 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1486]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7896,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.54/11.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7895]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1484,plain,
% 11.54/11.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 11.54/11.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4035_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7891,plain,
% 11.54/11.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 11.54/11.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1484]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7892,plain,
% 11.54/11.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7891]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1481,plain,
% 11.54/11.77 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 11.54/11.77 | ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3))
% 11.54/11.77 | ~ c_Type_Otyping(X0,X2,X4) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4040_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7885,plain,
% 11.54/11.77 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 11.54/11.77 | ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3))
% 11.54/11.77 | ~ c_Type_Otyping(X0,X2,X4) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1481]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1478,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4041_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7879,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1478]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1475,plain,
% 11.54/11.77 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 11.54/11.77 | ~ c_lessequals(X0,X2,tc_nat)
% 11.54/11.77 | ~ c_lessequals(X1,X3,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4042_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7873,plain,
% 11.54/11.77 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 11.54/11.77 | ~ c_lessequals(X0,X2,tc_nat)
% 11.54/11.77 | ~ c_lessequals(X1,X3,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1475]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1451,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4048_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7825,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1451]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1436,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4052_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7795,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1436]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1434,plain,
% 11.54/11.77 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4053_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7791,plain,
% 11.54/11.77 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1434]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7792,plain,
% 11.54/11.77 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 11.54/11.77 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7791]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1431,plain,
% 11.54/11.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 11.54/11.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X3)
% 11.54/11.77 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4055_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7785,plain,
% 11.54/11.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 11.54/11.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X3)
% 11.54/11.77 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1431]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7786,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.54/11.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)
% 11.54/11.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7785]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1429,plain,
% 11.54/11.77 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4056_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7781,plain,
% 11.54/11.77 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1429]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7782,plain,
% 11.54/11.77 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.77 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7781]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1427,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4057_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7777,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1427]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7778,plain,
% 11.54/11.77 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7777]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1425,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 11.54/11.77 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4058_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7773,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 11.54/11.77 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1425]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1421,plain,
% 11.54/11.77 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))
% 11.54/11.77 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4060_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7765,plain,
% 11.54/11.77 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))
% 11.54/11.77 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1421]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7766,plain,
% 11.54/11.77 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.77 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X0,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7765]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1418,plain,
% 11.54/11.77 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.54/11.77 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4061_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7759,plain,
% 11.54/11.77 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.54/11.77 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1418]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1415,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4062_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7753,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1415]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1414,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4063_0) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7751,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1414]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1411,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4063_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7745,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1411]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7746,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7745]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1410,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4064_0) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7743,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1410]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1407,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4064_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7737,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1407]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7738,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7737]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1406,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.54/11.77 | c_lessequals(X2,X3,X0)
% 11.54/11.77 | c_lessequals(X1,X3,X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4065_0) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7735,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.54/11.77 | c_lessequals(X2,X3,X0)
% 11.54/11.77 | c_lessequals(X1,X3,X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1406]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1403,plain,
% 11.54/11.77 ( c_lessequals(X0,X1,X2)
% 11.54/11.77 | c_lessequals(X3,X1,X2)
% 11.54/11.77 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4065_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7729,plain,
% 11.54/11.77 ( c_lessequals(X0,X1,X2)
% 11.54/11.77 | c_lessequals(X3,X1,X2)
% 11.54/11.77 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1403]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7730,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.54/11.77 | c_lessequals(X1,X3,X0)
% 11.54/11.77 | c_lessequals(X2,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7729]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1402,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.54/11.77 | c_lessequals(X1,X3,X0)
% 11.54/11.77 | c_lessequals(X1,X2,X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4066_0) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7727,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.54/11.77 | c_lessequals(X1,X3,X0)
% 11.54/11.77 | c_lessequals(X1,X2,X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1402]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1399,plain,
% 11.54/11.77 ( c_lessequals(X0,X1,X2)
% 11.54/11.77 | c_lessequals(X0,X3,X2)
% 11.54/11.77 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4066_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7721,plain,
% 11.54/11.77 ( c_lessequals(X0,X1,X2)
% 11.54/11.77 | c_lessequals(X0,X3,X2)
% 11.54/11.77 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1399]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7722,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.54/11.77 | c_lessequals(X1,X2,X0)
% 11.54/11.77 | c_lessequals(X1,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7721]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1397,plain,
% 11.54/11.77 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) = X0
% 11.54/11.77 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4067_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7717,plain,
% 11.54/11.77 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) = X0
% 11.54/11.77 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1397]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7718,plain,
% 11.54/11.77 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 11.54/11.77 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7717]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1395,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4068_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7713,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1395]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1393,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4069_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7709,plain,
% 11.54/11.77 ( 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)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1393]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1389,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.77 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4070_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7701,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.77 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1389]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1381,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.54/11.77 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4072_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7685,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.54/11.77 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1381]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1377,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4073_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7677,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1377]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1373,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.54/11.77 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4074_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7669,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.54/11.77 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1373]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1369,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.77 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4075_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7661,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.77 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1369]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7662,plain,
% 11.54/11.77 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 11.54/11.77 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7661]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1357,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4078_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7637,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1357]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7638,plain,
% 11.54/11.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7637]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1341,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.54/11.77 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4082_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7605,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.54/11.77 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.54/11.77 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1341]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7606,plain,
% 11.54/11.77 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7605]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1325,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4086_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7573,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1325]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1321,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4087_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7565,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.77 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1321]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7566,plain,
% 11.54/11.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7565]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1319,plain,
% 11.54/11.77 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4089_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7561,plain,
% 11.54/11.77 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1319]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7562,plain,
% 11.54/11.77 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7561]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1316,plain,
% 11.54/11.77 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4090_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7555,plain,
% 11.54/11.77 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1316]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7556,plain,
% 11.54/11.77 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7555]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1311,plain,
% 11.54/11.77 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4092_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7545,plain,
% 11.54/11.77 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1311]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7546,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.54/11.77 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7545]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1307,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4093_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7537,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1307]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7538,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7537]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1303,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4094_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7529,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1303]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7530,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.54/11.77 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7529]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1295,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4096_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7513,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1295]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7514,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7513]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1287,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4098_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7497,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1287]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7498,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7497]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1283,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4099_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7489,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1283]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7490,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.54/11.77 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7489]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1263,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.54/11.77 | ~ c_lessequals(X0,X3,X1)
% 11.54/11.77 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4104_4) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7449,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.54/11.77 | ~ c_lessequals(X0,X3,X1)
% 11.54/11.77 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1263]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7450,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.54/11.77 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.54/11.77 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7449]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1260,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4105_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7443,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1260]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7444,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7443]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1257,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4106_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7437,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1257]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7438,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7437]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1254,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4107_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7431,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1254]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7432,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7431]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1251,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4108_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7425,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1251]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7426,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7425]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1248,plain,
% 11.54/11.77 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.54/11.77 | ~ c_lessequals(X2,X3,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4109_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7419,plain,
% 11.54/11.77 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.54/11.77 | ~ c_lessequals(X2,X3,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1248]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7420,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 11.54/11.77 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.54/11.77 | ~ c_lessequals(X2,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7419]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1245,plain,
% 11.54/11.77 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.54/11.77 | ~ c_lessequals(X1,X3,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4110_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7413,plain,
% 11.54/11.77 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.54/11.77 | ~ c_lessequals(X1,X3,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1245]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7414,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 11.54/11.77 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.54/11.77 | ~ c_lessequals(X1,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7413]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1242,plain,
% 11.54/11.77 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.54/11.77 | ~ c_lessequals(X2,X3,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4111_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7407,plain,
% 11.54/11.77 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.54/11.77 | ~ c_lessequals(X2,X3,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1242]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7408,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.54/11.77 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.54/11.77 | ~ c_lessequals(X2,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7407]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1239,plain,
% 11.54/11.77 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.54/11.77 | ~ c_lessequals(X1,X3,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4112_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7401,plain,
% 11.54/11.77 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.54/11.77 | ~ c_lessequals(X1,X3,X0)
% 11.54/11.77 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1239]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7402,plain,
% 11.54/11.77 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.54/11.77 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.54/11.77 | ~ c_lessequals(X1,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7401]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1229,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4116_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7381,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1229]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1227,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4117_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7377,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1227]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1225,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4118_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7373,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1225]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1223,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4119_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7369,plain,
% 11.54/11.77 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1223]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1222,plain,
% 11.54/11.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.54/11.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.54/11.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4120_0) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7367,plain,
% 11.54/11.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.54/11.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.54/11.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1222]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1220,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4120_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7363,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1220]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7364,plain,
% 11.54/11.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.54/11.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7363]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1208,plain,
% 11.54/11.77 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 11.54/11.77 | ~ c_lessequals(X0,X3,X2)
% 11.54/11.77 | ~ c_lessequals(X1,X3,X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4123_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7339,plain,
% 11.54/11.77 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 11.54/11.77 | ~ c_lessequals(X0,X3,X2)
% 11.54/11.77 | ~ c_lessequals(X1,X3,X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1208]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7340,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 11.54/11.77 | ~ c_lessequals(X1,X3,X0)
% 11.54/11.77 | ~ c_lessequals(X2,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7339]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1204,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X3) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4124_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7331,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X3) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1204]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7332,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7331]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1200,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4125_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7323,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1200]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7324,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7323]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1188,plain,
% 11.54/11.77 ( c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 11.54/11.77 | ~ c_lessequals(X0,X1,X3)
% 11.54/11.77 | ~ c_lessequals(X0,X2,X3)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X3) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4128_3) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7299,plain,
% 11.54/11.77 ( c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 11.54/11.77 | ~ c_lessequals(X0,X1,X3)
% 11.54/11.77 | ~ c_lessequals(X0,X2,X3)
% 11.54/11.77 | ~ class_Orderings_Olinorder(X3) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1188]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7300,plain,
% 11.54/11.77 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.77 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 11.54/11.77 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.77 | ~ c_lessequals(X1,X3,X0) ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7299]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1184,plain,
% 11.54/11.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X1) = X0
% 11.54/11.77 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4130_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7291,plain,
% 11.54/11.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X1) = X0
% 11.54/11.77 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1184]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7292,plain,
% 11.54/11.77 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X0) = X1 ),
% 11.54/11.77 inference(rewriting,[status(thm)],[c_7291]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1181,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4131_2) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7285,plain,
% 11.54/11.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.54/11.77 inference(copy,[status(esa)],[c_1181]) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_1175,plain,
% 11.54/11.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.77 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 11.54/11.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.54/11.77 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4133_1) ).
% 11.54/11.77
% 11.54/11.77 cnf(c_7273,plain,
% 11.54/11.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.78 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1175]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7274,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.54/11.78 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7273]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1172,plain,
% 11.54/11.78 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.54/11.78 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4135_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7267,plain,
% 11.54/11.78 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.54/11.78 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1172]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7268,plain,
% 11.54/11.78 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 11.54/11.78 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7267]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1170,plain,
% 11.54/11.78 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.54/11.78 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4136_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7263,plain,
% 11.54/11.78 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.54/11.78 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1170]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7264,plain,
% 11.54/11.78 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 11.54/11.78 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7263]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1166,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4138_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7255,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1166]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7256,plain,
% 11.54/11.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.78 | 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) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7255]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1162,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4140_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7247,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1162]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7248,plain,
% 11.54/11.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.78 | 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) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7247]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1160,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4141_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7243,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1160]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7244,plain,
% 11.54/11.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.78 | 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) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7243]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1158,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4142_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7239,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1158]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7240,plain,
% 11.54/11.78 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 11.54/11.78 | 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) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7239]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1156,plain,
% 11.54/11.78 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X0,X2,X3),X3)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X3) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4143_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7235,plain,
% 11.54/11.78 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X0,X2,X3),X3)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X3) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1156]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7236,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X1,X3,X0),X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7235]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1154,plain,
% 11.54/11.78 ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2) = c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4144_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7231,plain,
% 11.54/11.78 ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2) = c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1154]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7232,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7231]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1152,plain,
% 11.54/11.78 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X0,X2,X3),X3)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X3) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4145_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7227,plain,
% 11.54/11.78 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X0,X2,X3),X3)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X3) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1152]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7228,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0) = c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X1,X3,X0),X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7227]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1150,plain,
% 11.54/11.78 ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2) = c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4146_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7223,plain,
% 11.54/11.78 ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2) = c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1150]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7224,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7223]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1148,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4147_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7219,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1148]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7220,plain,
% 11.54/11.78 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.54/11.78 | 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) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7219]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1146,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4148_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7215,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1146]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7216,plain,
% 11.54/11.78 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.54/11.78 | 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) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7215]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1144,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4149_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7211,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1144]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7212,plain,
% 11.54/11.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.78 | 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) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7211]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1105,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4170_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7133,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1105]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1103,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4171_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7129,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1103]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1101,plain,
% 11.54/11.78 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 11.54/11.78 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4172_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7125,plain,
% 11.54/11.78 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 11.54/11.78 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1101]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1099,plain,
% 11.54/11.78 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 11.54/11.78 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4173_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7121,plain,
% 11.54/11.78 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 11.54/11.78 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1099]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1097,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.78 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4174_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7117,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.78 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1097]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7118,plain,
% 11.54/11.78 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 11.54/11.78 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7117]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1095,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.78 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4175_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7113,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.78 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1095]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7114,plain,
% 11.54/11.78 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 11.54/11.78 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7113]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1086,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,X2)
% 11.54/11.78 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4178_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7095,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,X2)
% 11.54/11.78 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1086]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7096,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 11.54/11.78 | c_lessequals(X1,X3,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7095]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1083,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4179_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7089,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1083]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7090,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7089]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1080,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4180_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7083,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1080]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7084,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7083]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1077,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4181_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7077,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1077]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7078,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7077]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1074,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4182_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7071,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1074]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7072,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7071]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1071,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,X2)
% 11.54/11.78 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4183_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7065,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,X2)
% 11.54/11.78 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1071]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7066,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 11.54/11.78 | c_lessequals(X2,X3,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7065]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1062,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,X2)
% 11.54/11.78 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4186_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7047,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,X2)
% 11.54/11.78 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1062]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7048,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 11.54/11.78 | c_lessequals(X1,X2,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7047]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1059,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,X2)
% 11.54/11.78 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4187_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7041,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,X2)
% 11.54/11.78 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1059]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7042,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 11.54/11.78 | c_lessequals(X1,X3,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7041]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1057,plain,
% 11.54/11.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 11.54/11.78 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4188_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7037,plain,
% 11.54/11.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 11.54/11.78 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1057]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7038,plain,
% 11.54/11.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7037]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1055,plain,
% 11.54/11.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 11.54/11.78 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4189_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7033,plain,
% 11.54/11.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 11.54/11.78 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1055]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7034,plain,
% 11.54/11.78 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7033]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1053,plain,
% 11.54/11.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 11.54/11.78 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4190_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7029,plain,
% 11.54/11.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 11.54/11.78 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1053]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7030,plain,
% 11.54/11.78 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7029]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1050,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.54/11.78 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4191_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7023,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.54/11.78 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1050]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7024,plain,
% 11.54/11.78 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7023]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1045,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4195_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7013,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1045]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7014,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 11.54/11.78 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7013]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1043,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4196_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7009,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1043]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7010,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 11.54/11.78 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7009]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1041,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4199_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7005,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1041]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_7006,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_7005]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1027,plain,
% 11.54/11.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.78 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4203_3) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6977,plain,
% 11.54/11.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.78 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1027]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6978,plain,
% 11.54/11.78 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.54/11.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6977]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1024,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4206_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6971,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1024]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1022,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.78 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4207_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6967,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.78 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1022]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6968,plain,
% 11.54/11.78 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.54/11.78 | c_lessequals(X0,X2,tc_nat) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6967]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1020,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.78 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4208_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6963,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.78 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1020]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6964,plain,
% 11.54/11.78 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.54/11.78 | c_lessequals(X1,X2,tc_nat) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6963]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1018,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4209_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6959,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1018]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6960,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6959]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1016,plain,
% 11.54/11.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 11.54/11.78 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4210_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6955,plain,
% 11.54/11.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 11.54/11.78 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1016]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6956,plain,
% 11.54/11.78 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6955]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1014,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4212_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6951,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1014]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1011,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4213_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6945,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1011]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6946,plain,
% 11.54/11.78 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6945]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1008,plain,
% 11.54/11.78 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 11.54/11.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4214_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6939,plain,
% 11.54/11.78 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 11.54/11.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1008]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6940,plain,
% 11.54/11.78 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.54/11.78 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 11.54/11.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6939]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1005,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.78 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4218_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6933,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.78 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1005]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_1002,plain,
% 11.54/11.78 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.78 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.78 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4219_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6927,plain,
% 11.54/11.78 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.78 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.78 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_1002]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_999,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4220_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6921,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_999]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_996,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.78 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4221_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6915,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.54/11.78 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_996]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_993,plain,
% 11.54/11.78 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.54/11.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.78 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4222_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6909,plain,
% 11.54/11.78 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.54/11.78 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.54/11.78 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_993]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_990,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4223_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6903,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_990]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_987,plain,
% 11.54/11.78 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.54/11.78 | ~ c_lessequals(X0,X1,X2)
% 11.54/11.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4224_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6897,plain,
% 11.54/11.78 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.54/11.78 | ~ c_lessequals(X0,X1,X2)
% 11.54/11.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_987]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_985,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4225_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6893,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_985]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6894,plain,
% 11.54/11.78 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 11.54/11.78 | 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) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6893]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_983,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4226_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6889,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_983]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6890,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.78 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6889]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_971,plain,
% 11.54/11.78 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 11.54/11.78 | ~ c_lessequals(X0,X1,X3)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X3) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4230_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6865,plain,
% 11.54/11.78 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 11.54/11.78 | ~ c_lessequals(X0,X1,X3)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X3) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_971]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6866,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6865]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_968,plain,
% 11.54/11.78 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 11.54/11.78 | ~ c_lessequals(X0,X2,X3)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X3) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4231_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6859,plain,
% 11.54/11.78 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 11.54/11.78 | ~ c_lessequals(X0,X2,X3)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X3) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_968]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6860,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.54/11.78 | ~ c_lessequals(X1,X3,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6859]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_959,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4234_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6841,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_959]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6842,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6841]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_956,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4235_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6835,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_956]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6836,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6835]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_947,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X3) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4238_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6817,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X3) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_947]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6818,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6817]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_944,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X3) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4239_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6811,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X3) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_944]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6812,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6811]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_935,plain,
% 11.54/11.78 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 11.54/11.78 | ~ c_lessequals(X0,X3,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4242_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6793,plain,
% 11.54/11.78 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 11.54/11.78 | ~ c_lessequals(X0,X3,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_935]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6794,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.54/11.78 | ~ c_lessequals(X1,X3,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6793]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_932,plain,
% 11.54/11.78 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 11.54/11.78 | ~ c_lessequals(X1,X3,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4243_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6787,plain,
% 11.54/11.78 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 11.54/11.78 | ~ c_lessequals(X1,X3,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_932]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6788,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.54/11.78 | ~ c_lessequals(X2,X3,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6787]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_930,plain,
% 11.54/11.78 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
% 11.54/11.78 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4246_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6783,plain,
% 11.54/11.78 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
% 11.54/11.78 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_930]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6784,plain,
% 11.54/11.78 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.78 | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6783]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_928,plain,
% 11.54/11.78 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 11.54/11.78 | ~ c_Lambda_Obeta(X0,X3) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4247_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6779,plain,
% 11.54/11.78 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 11.54/11.78 | ~ c_Lambda_Obeta(X0,X3) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_928]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_926,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4248_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6775,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_926]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_924,plain,
% 11.54/11.78 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 11.54/11.78 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4249_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6771,plain,
% 11.54/11.78 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 11.54/11.78 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_924]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6772,plain,
% 11.54/11.78 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.78 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6771]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_922,plain,
% 11.54/11.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0)
% 11.54/11.78 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4250_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6767,plain,
% 11.54/11.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0)
% 11.54/11.78 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_922]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6768,plain,
% 11.54/11.78 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6767]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_920,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4251_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6763,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_920]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_918,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4255_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6759,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_918]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_916,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4256_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6755,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_916]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_914,plain,
% 11.54/11.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 11.54/11.78 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4257_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6751,plain,
% 11.54/11.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 11.54/11.78 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_914]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6752,plain,
% 11.54/11.78 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1 ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6751]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_913,plain,
% 11.54/11.78 ( ~ class_Orderings_Opreorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4258_0) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6749,plain,
% 11.54/11.78 ( ~ class_Orderings_Opreorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_913]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_910,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.54/11.78 | ~ c_lessequals(X3,X1,X2)
% 11.54/11.78 | ~ class_Orderings_Opreorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4258_3) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6743,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.54/11.78 | ~ c_lessequals(X3,X1,X2)
% 11.54/11.78 | ~ class_Orderings_Opreorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_910]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6744,plain,
% 11.54/11.78 ( ~ class_Orderings_Opreorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6743]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_905,plain,
% 11.54/11.78 ( ~ class_Orderings_Opreorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | ~ c_lessequals(X3,X1,X0)
% 11.54/11.78 | c_lessequals(X3,X2,X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4260_0) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6733,plain,
% 11.54/11.78 ( ~ class_Orderings_Opreorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | ~ c_lessequals(X3,X1,X0)
% 11.54/11.78 | c_lessequals(X3,X2,X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_905]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_904,plain,
% 11.54/11.78 ( ~ class_Orderings_Opreorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | c_lessequals(X3,X2,X0)
% 11.54/11.78 | ~ c_lessequals(X3,X1,X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4260_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6731,plain,
% 11.54/11.78 ( ~ class_Orderings_Opreorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | c_lessequals(X3,X2,X0)
% 11.54/11.78 | ~ c_lessequals(X3,X1,X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_904]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_902,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,X2)
% 11.54/11.78 | ~ c_lessequals(X0,X3,X2)
% 11.54/11.78 | ~ c_lessequals(X3,X1,X2)
% 11.54/11.78 | ~ class_Orderings_Opreorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4260_3) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6727,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,X2)
% 11.54/11.78 | ~ c_lessequals(X0,X3,X2)
% 11.54/11.78 | ~ c_lessequals(X3,X1,X2)
% 11.54/11.78 | ~ class_Orderings_Opreorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_902]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6728,plain,
% 11.54/11.78 ( ~ class_Orderings_Opreorder(X0)
% 11.54/11.78 | c_lessequals(X1,X2,X0)
% 11.54/11.78 | ~ c_lessequals(X1,X3,X0)
% 11.54/11.78 | ~ c_lessequals(X3,X2,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6727]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_897,plain,
% 11.54/11.78 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4262_0) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6717,plain,
% 11.54/11.78 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_897]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_894,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.54/11.78 | ~ c_lessequals(X0,X3,X2)
% 11.54/11.78 | ~ class_Orderings_Oorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4262_3) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6711,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.54/11.78 | ~ c_lessequals(X0,X3,X2)
% 11.54/11.78 | ~ class_Orderings_Oorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_894]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6712,plain,
% 11.54/11.78 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6711]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_893,plain,
% 11.54/11.78 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | ~ c_lessequals(X2,X3,X0)
% 11.54/11.78 | c_lessequals(X1,X3,X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4263_0) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6709,plain,
% 11.54/11.78 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | ~ c_lessequals(X2,X3,X0)
% 11.54/11.78 | c_lessequals(X1,X3,X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_893]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_892,plain,
% 11.54/11.78 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | c_lessequals(X1,X3,X0)
% 11.54/11.78 | ~ c_lessequals(X2,X3,X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4263_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6707,plain,
% 11.54/11.78 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | c_lessequals(X1,X3,X0)
% 11.54/11.78 | ~ c_lessequals(X2,X3,X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_892]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_890,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,X2)
% 11.54/11.78 | ~ c_lessequals(X3,X1,X2)
% 11.54/11.78 | ~ c_lessequals(X0,X3,X2)
% 11.54/11.78 | ~ class_Orderings_Oorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4263_3) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6703,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,X2)
% 11.54/11.78 | ~ c_lessequals(X3,X1,X2)
% 11.54/11.78 | ~ c_lessequals(X0,X3,X2)
% 11.54/11.78 | ~ class_Orderings_Oorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_890]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6704,plain,
% 11.54/11.78 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.78 | c_lessequals(X1,X2,X0)
% 11.54/11.78 | ~ c_lessequals(X3,X2,X0)
% 11.54/11.78 | ~ c_lessequals(X1,X3,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6703]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_889,plain,
% 11.54/11.78 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4264_0) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6701,plain,
% 11.54/11.78 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_889]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_888,plain,
% 11.54/11.78 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4264_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6699,plain,
% 11.54/11.78 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_888]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_886,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.54/11.78 | ~ class_Orderings_Oorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4264_3) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6695,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.54/11.78 | ~ class_Orderings_Oorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_886]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6696,plain,
% 11.54/11.78 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6695]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_885,plain,
% 11.54/11.78 ( ~ class_Orderings_Opreorder(X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4265_0) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6693,plain,
% 11.54/11.78 ( ~ class_Orderings_Opreorder(X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_885]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_884,plain,
% 11.54/11.78 ( ~ class_Orderings_Opreorder(X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4265_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6691,plain,
% 11.54/11.78 ( ~ class_Orderings_Opreorder(X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_884]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_882,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.54/11.78 | ~ class_Orderings_Opreorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4265_3) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6687,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.54/11.78 | ~ class_Orderings_Opreorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_882]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6688,plain,
% 11.54/11.78 ( ~ class_Orderings_Opreorder(X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6687]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_880,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4266_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6683,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_880]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6684,plain,
% 11.54/11.78 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 11.54/11.78 | 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) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6683]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_878,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4267_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6679,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_878]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6680,plain,
% 11.54/11.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.78 | 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) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6679]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_872,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4270_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6667,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_872]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6668,plain,
% 11.54/11.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.78 | 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) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6667]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_870,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_Power_Opower(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4271_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6663,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_Power_Opower(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_870]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6664,plain,
% 11.54/11.78 ( ~ class_Power_Opower(X0)
% 11.54/11.78 | 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) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6663]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_868,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4272_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6659,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_868]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6660,plain,
% 11.54/11.78 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.54/11.78 | 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) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6659]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_865,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4273_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6653,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_865]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6654,plain,
% 11.54/11.78 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6653]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_862,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.78 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4274_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6647,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.78 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_862]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6648,plain,
% 11.54/11.78 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.54/11.78 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 11.54/11.78 | c_lessequals(X1,X2,tc_nat) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6647]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_859,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4275_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6641,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_859]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_849,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4280_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6621,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_849]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_847,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4281_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6617,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_847]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_845,plain,
% 11.54/11.78 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.54/11.78 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4282_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6613,plain,
% 11.54/11.78 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.54/11.78 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_845]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_843,plain,
% 11.54/11.78 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.54/11.78 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4283_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6609,plain,
% 11.54/11.78 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.54/11.78 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_843]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_841,plain,
% 11.54/11.78 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = c_Orderings_Oord__class_Omax(X0,X1,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4287_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6605,plain,
% 11.54/11.78 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = c_Orderings_Oord__class_Omax(X0,X1,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_841]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6606,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = c_Orderings_Oord__class_Omax(X1,X2,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6605]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_839,plain,
% 11.54/11.78 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 11.54/11.78 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4288_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6601,plain,
% 11.54/11.78 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 11.54/11.78 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_839]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6602,plain,
% 11.54/11.78 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 11.54/11.78 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6601]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_837,plain,
% 11.54/11.78 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = c_Orderings_Oord__class_Omin(X0,X1,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4289_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6597,plain,
% 11.54/11.78 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = c_Orderings_Oord__class_Omin(X0,X1,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_837]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6598,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = c_Orderings_Oord__class_Omin(X1,X2,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6597]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_835,plain,
% 11.54/11.78 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4290_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6593,plain,
% 11.54/11.78 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_835]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6594,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.78 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6593]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_834,plain,
% 11.54/11.78 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.78 | ~ c_lessequals(X2,X0,tc_nat)
% 11.54/11.78 | c_lessequals(X2,X1,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4295_0) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6591,plain,
% 11.54/11.78 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.78 | ~ c_lessequals(X2,X0,tc_nat)
% 11.54/11.78 | c_lessequals(X2,X1,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_834]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_833,plain,
% 11.54/11.78 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.78 | c_lessequals(X2,X1,tc_nat)
% 11.54/11.78 | ~ c_lessequals(X2,X0,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4295_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6589,plain,
% 11.54/11.78 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.78 | c_lessequals(X2,X1,tc_nat)
% 11.54/11.78 | ~ c_lessequals(X2,X0,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_833]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_832,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.78 | ~ c_lessequals(X0,X2,tc_nat)
% 11.54/11.78 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4295_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6587,plain,
% 11.54/11.78 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.78 | ~ c_lessequals(X0,X2,tc_nat)
% 11.54/11.78 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_832]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_831,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 11.54/11.78 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.54/11.78 | hBOOL(hAPP(X1,X2))
% 11.54/11.78 | hBOOL(hAPP(X1,X0)) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4297_0) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6585,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 11.54/11.78 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.54/11.78 | hBOOL(hAPP(X1,X2))
% 11.54/11.78 | hBOOL(hAPP(X1,X0)) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_831]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_828,plain,
% 11.54/11.78 ( hBOOL(hAPP(X0,X1))
% 11.54/11.78 | hBOOL(hAPP(X0,X2))
% 11.54/11.78 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4297_3) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6579,plain,
% 11.54/11.78 ( hBOOL(hAPP(X0,X1))
% 11.54/11.78 | hBOOL(hAPP(X0,X2))
% 11.54/11.78 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_828]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6580,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 11.54/11.78 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.54/11.78 | hBOOL(hAPP(X1,X0))
% 11.54/11.78 | hBOOL(hAPP(X1,X2)) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6579]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_826,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4300_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6575,plain,
% 11.54/11.78 ( 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)
% 11.54/11.78 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_826]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6576,plain,
% 11.54/11.78 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 11.54/11.78 | 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) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6575]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_824,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4301_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6571,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 11.54/11.78 inference(copy,[status(esa)],[c_824]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_822,plain,
% 11.54/11.78 ( ~ class_Orderings_Opreorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | c_lessequals(X2,X1,X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4302_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6567,plain,
% 11.54/11.78 ( ~ class_Orderings_Opreorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | c_lessequals(X2,X1,X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_822]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_817,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4304_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6557,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_817]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6558,plain,
% 11.54/11.78 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6557]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_814,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4305_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6551,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_814]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6552,plain,
% 11.54/11.78 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.54/11.78 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6551]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_811,plain,
% 11.54/11.78 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 11.54/11.78 | ~ c_lessequals(X0,X2,tc_nat)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4306_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6545,plain,
% 11.54/11.78 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 11.54/11.78 | ~ c_lessequals(X0,X2,tc_nat)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_811]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6546,plain,
% 11.54/11.78 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.54/11.78 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6545]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_793,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4312_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6509,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_793]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6510,plain,
% 11.54/11.78 ( c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat)
% 11.54/11.78 | X1 = X2 ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6509]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_790,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4313_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6503,plain,
% 11.54/11.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_790]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6504,plain,
% 11.54/11.78 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.54/11.78 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6503]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_778,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | ~ c_lessequals(X0,X1,X2)
% 11.54/11.78 | ~ c_lessequals(X1,X0,X2)
% 11.54/11.78 | ~ class_Orderings_Oorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4316_3) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6479,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | ~ c_lessequals(X0,X1,X2)
% 11.54/11.78 | ~ c_lessequals(X1,X0,X2)
% 11.54/11.78 | ~ class_Orderings_Oorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_778]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6480,plain,
% 11.54/11.78 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | ~ c_lessequals(X2,X1,X0)
% 11.54/11.78 | X1 = X2 ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6479]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_780,plain,
% 11.54/11.78 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | X2 = X1
% 11.54/11.78 | ~ c_lessequals(X2,X1,X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4316_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6483,plain,
% 11.54/11.78 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | X2 = X1
% 11.54/11.78 | ~ c_lessequals(X2,X1,X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_780]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6484,plain,
% 11.54/11.78 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | ~ c_lessequals(X2,X1,X0)
% 11.54/11.78 | X2 = X1 ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6483]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_774,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 11.54/11.78 | ~ class_Int_Onumber__ring(X2)
% 11.54/11.78 | ~ class_Ring__and__Field_Oidom(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4317_3) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6471,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 11.54/11.78 | ~ class_Int_Onumber__ring(X2)
% 11.54/11.78 | ~ class_Ring__and__Field_Oidom(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_774]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6472,plain,
% 11.54/11.78 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.54/11.78 | ~ class_Int_Onumber__ring(X0)
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 11.54/11.78 | X2 = X3 ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6471]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_771,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 11.54/11.78 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4318_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6465,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 11.54/11.78 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_771]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6466,plain,
% 11.54/11.78 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.54/11.78 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 11.54/11.78 | X2 = X3 ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6465]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_768,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 11.54/11.78 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4319_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6459,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 11.54/11.78 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_768]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6460,plain,
% 11.54/11.78 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.54/11.78 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 11.54/11.78 | X1 = X2 ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6459]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_766,plain,
% 11.54/11.78 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 11.54/11.78 | ~ c_Lambda_Obeta(X0,X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4320_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6455,plain,
% 11.54/11.78 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 11.54/11.78 | ~ c_Lambda_Obeta(X0,X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_766]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_764,plain,
% 11.54/11.78 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 11.54/11.78 | ~ c_Lambda_Obeta(X1,X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4321_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6451,plain,
% 11.54/11.78 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 11.54/11.78 | ~ c_Lambda_Obeta(X1,X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_764]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_758,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.54/11.78 | ~ class_Orderings_Opreorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4323_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6439,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.54/11.78 | ~ class_Orderings_Opreorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_758]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6440,plain,
% 11.54/11.78 ( ~ class_Orderings_Opreorder(X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6439]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_755,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4324_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6433,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_755]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6434,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6433]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_752,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.54/11.78 | ~ class_Orderings_Oorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4325_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6427,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.54/11.78 | ~ class_Orderings_Oorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_752]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6428,plain,
% 11.54/11.78 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6427]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_749,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_lessequals(X1,X0,X2)
% 11.54/11.78 | ~ class_Orderings_Opreorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4326_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6421,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.78 | ~ c_lessequals(X1,X0,X2)
% 11.54/11.78 | ~ class_Orderings_Opreorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_749]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6422,plain,
% 11.54/11.78 ( ~ class_Orderings_Opreorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6421]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_743,plain,
% 11.54/11.78 ( ~ c_lessequals(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4328_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6409,plain,
% 11.54/11.78 ( ~ c_lessequals(X0,X1,X2)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_743]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6410,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6409]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_740,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 11.54/11.78 | ~ c_lessequals(X0,X0,X1)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X1) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4329_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6403,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 11.54/11.78 | ~ c_lessequals(X0,X0,X1)
% 11.54/11.78 | ~ class_Orderings_Olinorder(X1) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_740]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6404,plain,
% 11.54/11.78 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.78 | ~ c_lessequals(X1,X1,X0)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6403]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_734,plain,
% 11.54/11.78 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.78 | X1 = X2
% 11.54/11.78 | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4331_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6391,plain,
% 11.54/11.78 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.78 | X1 = X2
% 11.54/11.78 | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_734]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6392,plain,
% 11.54/11.78 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 11.54/11.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.78 | X1 = X4 ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6391]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_732,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4332_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6387,plain,
% 11.54/11.78 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 11.54/11.78 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_732]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_730,plain,
% 11.54/11.78 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4333_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6383,plain,
% 11.54/11.78 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_730]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_728,plain,
% 11.54/11.78 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.78 | X1 = X0
% 11.54/11.78 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4334_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6379,plain,
% 11.54/11.78 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.78 | X1 = X0
% 11.54/11.78 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_728]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6380,plain,
% 11.54/11.78 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.78 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.78 | X1 = X0 ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6379]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_725,plain,
% 11.54/11.78 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4335_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6373,plain,
% 11.54/11.78 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 11.54/11.78 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_725]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_723,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4336_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6369,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_723]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6370,plain,
% 11.54/11.78 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 11.54/11.78 | X1 = X4 ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6369]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_721,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4337_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6365,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_721]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6366,plain,
% 11.54/11.78 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 11.54/11.78 | X0 = X3 ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6365]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_718,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 11.54/11.78 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4338_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6359,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 11.54/11.78 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_718]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6360,plain,
% 11.54/11.78 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 11.54/11.78 | X1 = X3 ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6359]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_715,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 11.54/11.78 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4339_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6353,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 11.54/11.78 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_715]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6354,plain,
% 11.54/11.78 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 11.54/11.78 | X2 = X3 ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6353]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_712,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 11.54/11.78 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4340_2) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6347,plain,
% 11.54/11.78 ( X0 = X1
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 11.54/11.78 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_712]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6348,plain,
% 11.54/11.78 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 11.54/11.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 11.54/11.78 | X2 = X3 ),
% 11.54/11.78 inference(rewriting,[status(thm)],[c_6347]) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_710,plain,
% 11.54/11.78 ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 11.54/11.78 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4341_1) ).
% 11.54/11.78
% 11.54/11.78 cnf(c_6343,plain,
% 11.54/11.78 ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 11.54/11.78 inference(copy,[status(esa)],[c_710]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6344,plain,
% 11.54/11.79 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2) | X0 = X3 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6343]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_708,plain,
% 11.54/11.79 ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4342_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6339,plain,
% 11.54/11.79 ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_708]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6340,plain,
% 11.54/11.79 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X3,X1,X2) | X0 = X3 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6339]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_706,plain,
% 11.54/11.79 ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4343_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6335,plain,
% 11.54/11.79 ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_706]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6336,plain,
% 11.54/11.79 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X0,X3,X2) | X1 = X3 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6335]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_700,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4347_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6323,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_700]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6324,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 11.54/11.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X1 = X2 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6323]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_697,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4348_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6317,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_697]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6318,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X0 = X2 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6317]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_695,plain,
% 11.54/11.79 ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4349_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6313,plain,
% 11.54/11.79 ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_695]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6314,plain,
% 11.54/11.79 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6313]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_692,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = X0
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4350_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6307,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = X0
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_692]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6308,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6307]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_690,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = X0
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4351_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6303,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = X0
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_690]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6304,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6303]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_688,plain,
% 11.54/11.79 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X0,X2),X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4352_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6299,plain,
% 11.54/11.79 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X0,X2),X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_688]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6300,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X0),X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6299]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_686,plain,
% 11.54/11.79 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4353_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6295,plain,
% 11.54/11.79 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_686]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6296,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6295]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_684,plain,
% 11.54/11.79 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X1,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4354_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6291,plain,
% 11.54/11.79 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X1,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_684]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6292,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X2,X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6291]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_682,plain,
% 11.54/11.79 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X0,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4355_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6287,plain,
% 11.54/11.79 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X0,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_682]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6288,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X1,X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6287]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_680,plain,
% 11.54/11.79 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 11.54/11.79 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4356_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6283,plain,
% 11.54/11.79 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 11.54/11.79 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_680]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6284,plain,
% 11.54/11.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.54/11.79 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6283]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_677,plain,
% 11.54/11.79 ( c_Type_Otyping(X0,X1,X2)
% 11.54/11.79 | ~ c_Type_Otyping(X0,X3,X2)
% 11.54/11.79 | ~ c_Lambda_Obeta(X3,X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4357_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6277,plain,
% 11.54/11.79 ( c_Type_Otyping(X0,X1,X2)
% 11.54/11.79 | ~ c_Type_Otyping(X0,X3,X2)
% 11.54/11.79 | ~ c_Lambda_Obeta(X3,X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_677]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_675,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.79 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4361_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6273,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.79 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_675]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6274,plain,
% 11.54/11.79 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 11.54/11.79 | c_lessequals(X0,X1,tc_nat) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6273]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_673,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4362_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6269,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_673]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6270,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6269]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_667,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.79 | X0 = c_Suc(X1)
% 11.54/11.79 | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4365_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6257,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.79 | X0 = c_Suc(X1)
% 11.54/11.79 | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_667]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6258,plain,
% 11.54/11.79 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 11.54/11.79 | c_lessequals(X0,X1,tc_nat)
% 11.54/11.79 | X0 = c_Suc(X1) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6257]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_659,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.79 | X0 = X1
% 11.54/11.79 | ~ c_lessequals(X0,X1,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4367_3) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6241,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.79 | X0 = X1
% 11.54/11.79 | ~ c_lessequals(X0,X1,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_659]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6242,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.79 | X1 = X2 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6241]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_643,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.79 | X0 = X1
% 11.54/11.79 | ~ c_lessequals(X0,X1,X2)
% 11.54/11.79 | ~ class_Orderings_Oorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4371_3) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6209,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.79 | X0 = X1
% 11.54/11.79 | ~ c_lessequals(X0,X1,X2)
% 11.54/11.79 | ~ class_Orderings_Oorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_643]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6210,plain,
% 11.54/11.79 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.79 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.79 | X1 = X2 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6209]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_635,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.54/11.79 | ~ c_lessequals(X1,X0,X2)
% 11.54/11.79 | ~ class_Orderings_Oorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4373_3) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6193,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.54/11.79 | ~ c_lessequals(X1,X0,X2)
% 11.54/11.79 | ~ class_Orderings_Oorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_635]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6194,plain,
% 11.54/11.79 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.79 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.79 | X2 = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6193]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_629,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,X2)
% 11.54/11.79 | c_Orderings_Oord__class_Omin(X0,X1,X2) != X0
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4375_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6181,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,X2)
% 11.54/11.79 | c_Orderings_Oord__class_Omin(X0,X1,X2) != X0
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_629]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6182,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | c_lessequals(X1,X2,X0)
% 11.54/11.79 | c_Orderings_Oord__class_Omin(X1,X2,X0) != X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6181]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_626,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,X2)
% 11.54/11.79 | c_Orderings_Oord__class_Omax(X0,X1,X2) != X1
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4376_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6175,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,X2)
% 11.54/11.79 | c_Orderings_Oord__class_Omax(X0,X1,X2) != X1
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_626]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6176,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | c_lessequals(X1,X2,X0)
% 11.54/11.79 | c_Orderings_Oord__class_Omax(X1,X2,X0) != X2 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6175]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_624,plain,
% 11.54/11.79 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 11.54/11.79 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4377_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6171,plain,
% 11.54/11.79 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 11.54/11.79 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_624]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_620,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4379_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6163,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_620]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_614,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | X1 = X0
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4381_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6151,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | X1 = X0
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_614]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6152,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | X1 = X0 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6151]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_611,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | X0 = X1
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4382_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6145,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | X0 = X1
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_611]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6146,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | X0 = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6145]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_608,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X1
% 11.54/11.79 | ~ c_lessequals(X1,X0,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4383_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6139,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X1
% 11.54/11.79 | ~ c_lessequals(X1,X0,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_608]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6140,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.79 | c_Orderings_Oord__class_Omin(X2,X1,X0) = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6139]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_605,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X0
% 11.54/11.79 | ~ c_lessequals(X0,X1,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4384_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6133,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X0
% 11.54/11.79 | ~ c_lessequals(X0,X1,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_605]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6134,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.79 | c_Orderings_Oord__class_Omin(X1,X2,X0) = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6133]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_602,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X0
% 11.54/11.79 | ~ c_lessequals(X1,X0,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4385_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6127,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X0
% 11.54/11.79 | ~ c_lessequals(X1,X0,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_602]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6128,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.79 | c_Orderings_Oord__class_Omax(X2,X1,X0) = X2 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6127]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_599,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X1
% 11.54/11.79 | ~ c_lessequals(X0,X1,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4386_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6121,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X1
% 11.54/11.79 | ~ c_lessequals(X0,X1,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_599]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6122,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | ~ c_lessequals(X1,X2,X0)
% 11.54/11.79 | c_Orderings_Oord__class_Omax(X1,X2,X0) = X2 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6121]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_597,plain,
% 11.54/11.79 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4387_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6117,plain,
% 11.54/11.79 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_597]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6118,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6117]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_591,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,X2)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.79 | ~ class_Orderings_Opreorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4389_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6105,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,X2)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.79 | ~ class_Orderings_Opreorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_591]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6106,plain,
% 11.54/11.79 ( ~ class_Orderings_Opreorder(X0)
% 11.54/11.79 | c_lessequals(X1,X2,X0)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6105]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_588,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,X2)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.79 | ~ class_Orderings_Oorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4390_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6099,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,X2)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.79 | ~ class_Orderings_Oorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_588]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6100,plain,
% 11.54/11.79 ( ~ class_Orderings_Oorder(X0)
% 11.54/11.79 | c_lessequals(X1,X2,X0)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6099]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_584,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4392_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6091,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_584]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6092,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 11.54/11.79 | X0 = X2 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6091]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_582,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4393_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6087,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_582]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6088,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 11.54/11.79 | X1 = X2 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6087]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_580,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4394_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6083,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_580]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6084,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6083]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_578,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4395_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6079,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_578]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6080,plain,
% 11.54/11.79 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6079]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_574,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4397_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6071,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_574]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6072,plain,
% 11.54/11.79 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6071]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_572,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4398_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6067,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_572]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_570,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4403_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6063,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_570]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6064,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6063]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_568,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4404_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6059,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_568]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_566,plain,
% 11.54/11.79 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4405_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6055,plain,
% 11.54/11.79 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_566]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_562,plain,
% 11.54/11.79 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4410_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6047,plain,
% 11.54/11.79 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_562]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_558,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 11.54/11.79 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4412_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6039,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 11.54/11.79 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_558]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6040,plain,
% 11.54/11.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6039]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_556,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.79 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4413_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6035,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,tc_nat)
% 11.54/11.79 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_556]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_547,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4416_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6017,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_547]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6018,plain,
% 11.54/11.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | X0 = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6017]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_545,plain,
% 11.54/11.79 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4417_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6013,plain,
% 11.54/11.79 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_545]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6014,plain,
% 11.54/11.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.54/11.79 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_6013]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_541,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4419_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6005,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_541]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_538,plain,
% 11.54/11.79 ( hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 11.54/11.79 | hBOOL(hAPP(X0,X1))
% 11.54/11.79 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4420_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5999,plain,
% 11.54/11.79 ( hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 11.54/11.79 | hBOOL(hAPP(X0,X1))
% 11.54/11.79 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_538]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_6000,plain,
% 11.54/11.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.54/11.79 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 11.54/11.79 | hBOOL(hAPP(X0,X1)) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5999]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_535,plain,
% 11.54/11.79 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 11.54/11.79 | hBOOL(hAPP(X0,X1))
% 11.54/11.79 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4421_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5993,plain,
% 11.54/11.79 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 11.54/11.79 | hBOOL(hAPP(X0,X1))
% 11.54/11.79 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_535]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5994,plain,
% 11.54/11.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.54/11.79 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 11.54/11.79 | hBOOL(hAPP(X0,X1)) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5993]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_532,plain,
% 11.54/11.79 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 11.54/11.79 | hBOOL(hAPP(X0,X1))
% 11.54/11.79 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4422_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5987,plain,
% 11.54/11.79 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 11.54/11.79 | hBOOL(hAPP(X0,X1))
% 11.54/11.79 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_532]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5988,plain,
% 11.54/11.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.54/11.79 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 11.54/11.79 | hBOOL(hAPP(X0,X1)) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5987]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_529,plain,
% 11.54/11.79 ( hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 11.54/11.79 | hBOOL(hAPP(X0,X1))
% 11.54/11.79 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4423_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5981,plain,
% 11.54/11.79 ( hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 11.54/11.79 | hBOOL(hAPP(X0,X1))
% 11.54/11.79 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_529]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5982,plain,
% 11.54/11.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.54/11.79 | hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 11.54/11.79 | hBOOL(hAPP(X0,X1)) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5981]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_527,plain,
% 11.54/11.79 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 11.54/11.79 | ~ c_InductTermi_OIT(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4424_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5977,plain,
% 11.54/11.79 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 11.54/11.79 | ~ c_InductTermi_OIT(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_527]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_513,plain,
% 11.54/11.79 ( hBOOL(hAPP(X0,X1))
% 11.54/11.79 | hBOOL(hAPP(X0,X2))
% 11.54/11.79 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4427_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5949,plain,
% 11.54/11.79 ( hBOOL(hAPP(X0,X1))
% 11.54/11.79 | hBOOL(hAPP(X0,X2))
% 11.54/11.79 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_513]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_510,plain,
% 11.54/11.79 ( hBOOL(hAPP(X0,X1))
% 11.54/11.79 | hBOOL(hAPP(X0,X2))
% 11.54/11.79 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4428_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5943,plain,
% 11.54/11.79 ( hBOOL(hAPP(X0,X1))
% 11.54/11.79 | hBOOL(hAPP(X0,X2))
% 11.54/11.79 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_510]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_494,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | X1 = X2
% 11.54/11.79 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4434_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5911,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | X1 = X2
% 11.54/11.79 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_494]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5912,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.54/11.79 | X2 = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5911]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_491,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.54/11.79 | X0 = X1
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4434_3) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5905,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.54/11.79 | X0 = X1
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_491]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5906,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.54/11.79 | X1 = X2 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5905]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_485,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | hAPP(hAPP(c_Type_Otype_OFun,X2),X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4436_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5893,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | hAPP(hAPP(c_Type_Otype_OFun,X2),X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_485]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5894,plain,
% 11.54/11.79 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 11.54/11.79 | X1 = X3 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5893]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_483,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | hAPP(hAPP(c_Type_Otype_OFun,X0),X2) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4437_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5889,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | hAPP(hAPP(c_Type_Otype_OFun,X0),X2) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_483]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5890,plain,
% 11.54/11.79 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 11.54/11.79 | X0 = X2 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5889]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_481,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4438_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5885,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_481]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5886,plain,
% 11.54/11.79 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 11.54/11.79 | X0 = X2 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5885]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_479,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4439_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5881,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_479]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5882,plain,
% 11.54/11.79 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 11.54/11.79 | X1 = X3 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5881]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_476,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,X2)
% 11.54/11.79 | c_lessequals(X1,X0,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4441_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5875,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,X2)
% 11.54/11.79 | c_lessequals(X1,X0,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_476]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5876,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | c_lessequals(X1,X2,X0)
% 11.54/11.79 | c_lessequals(X2,X1,X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5875]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_467,plain,
% 11.54/11.79 ( c_lessequals(X0,X0,X1)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4444_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5857,plain,
% 11.54/11.79 ( c_lessequals(X0,X0,X1)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_467]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5858,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | c_lessequals(X1,X1,X0)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5857]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_464,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,X2)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4445_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5851,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,X2)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_464]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5852,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | c_lessequals(X1,X2,X0)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5851]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_462,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = c_Orderings_Oord__class_Omax(X1,X0,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4446_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5847,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = c_Orderings_Oord__class_Omax(X1,X0,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_462]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5848,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | c_Orderings_Oord__class_Omax(X1,X2,X0) = c_Orderings_Oord__class_Omax(X2,X1,X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5847]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_460,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = c_Orderings_Oord__class_Omin(X1,X0,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4447_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5843,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = c_Orderings_Oord__class_Omin(X1,X0,X2)
% 11.54/11.79 | ~ class_Orderings_Olinorder(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_460]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5844,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | c_Orderings_Oord__class_Omin(X1,X2,X0) = c_Orderings_Oord__class_Omin(X2,X1,X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5843]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_456,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 11.54/11.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4449_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5835,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 11.54/11.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_456]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5836,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5835]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_454,plain,
% 11.54/11.79 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1
% 11.54/11.79 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4451_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5831,plain,
% 11.54/11.79 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1
% 11.54/11.79 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_454]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5832,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 11.54/11.79 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5831]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_452,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4452_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5827,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_452]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5828,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5827]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_448,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4454_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5819,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_448]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5820,plain,
% 11.54/11.79 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5819]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_444,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 11.54/11.79 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4458_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5811,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 11.54/11.79 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_444]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5812,plain,
% 11.54/11.79 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5811]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_442,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4459_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5807,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_442]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5808,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5807]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_440,plain,
% 11.54/11.79 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4460_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5803,plain,
% 11.54/11.79 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_440]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5804,plain,
% 11.54/11.79 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5803]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_439,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4462_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5801,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_439]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_436,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4462_3) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5795,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_436]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5796,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5795]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_431,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4464_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5785,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_431]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_428,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4464_3) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5779,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_428]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5780,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5779]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_423,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | X1 = X0
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4466_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5769,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | X1 = X0
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_423]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5770,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.54/11.79 | X1 = X0 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5769]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_418,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.54/11.79 | ~ class_Int_Onumber__ring(X2)
% 11.54/11.79 | ~ class_Ring__and__Field_Oidom(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4467_3) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5759,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.54/11.79 | ~ class_Int_Onumber__ring(X2)
% 11.54/11.79 | ~ class_Ring__and__Field_Oidom(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_418]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5760,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.54/11.79 | ~ class_Int_Onumber__ring(X0)
% 11.54/11.79 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | X1 = X2 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5759]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_416,plain,
% 11.54/11.79 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4468_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5755,plain,
% 11.54/11.79 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_416]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5756,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.54/11.79 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5755]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_414,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4469_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5751,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_414]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5752,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 11.54/11.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5751]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_412,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4470_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5747,plain,
% 11.54/11.79 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_412]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_409,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4472_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5741,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_409]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5742,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 11.54/11.79 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5741]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_405,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 11.54/11.79 | ~ class_Int_Onumber__ring(X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Oidom(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4473_3) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5733,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 11.54/11.79 | ~ class_Int_Onumber__ring(X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Oidom(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_405]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5734,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.54/11.79 | ~ class_Int_Onumber__ring(X0)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 11.54/11.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5733]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_403,plain,
% 11.54/11.79 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4474_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5729,plain,
% 11.54/11.79 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_403]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5730,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5729]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_401,plain,
% 11.54/11.79 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4475_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5725,plain,
% 11.54/11.79 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_401]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5726,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5725]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_398,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.54/11.79 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4476_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5719,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.54/11.79 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_398]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5720,plain,
% 11.54/11.79 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.54/11.79 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | X1 = X2 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5719]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_395,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.54/11.79 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4477_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5713,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.54/11.79 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_395]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5714,plain,
% 11.54/11.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.54/11.79 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | X1 = X2 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5713]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_392,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4478_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5707,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_392]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5708,plain,
% 11.54/11.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5707]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_388,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4480_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5699,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_388]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_386,plain,
% 11.54/11.79 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4480_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5695,plain,
% 11.54/11.79 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_386]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5696,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5695]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_380,plain,
% 11.54/11.79 ( X0 = c_List_Olist_ONil(X1)
% 11.54/11.79 | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4483_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5683,plain,
% 11.54/11.79 ( X0 = c_List_Olist_ONil(X1)
% 11.54/11.79 | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_380]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5684,plain,
% 11.54/11.79 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 11.54/11.79 | X1 = c_List_Olist_ONil(X2) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5683]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_378,plain,
% 11.54/11.79 ( X0 = c_List_Olist_ONil(X1)
% 11.54/11.79 | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4484_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5679,plain,
% 11.54/11.79 ( X0 = c_List_Olist_ONil(X1)
% 11.54/11.79 | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_378]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5680,plain,
% 11.54/11.79 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 11.54/11.79 | X0 = c_List_Olist_ONil(X2) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5679]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_376,plain,
% 11.54/11.79 ( hBOOL(hAPP(X0,X1))
% 11.54/11.79 | ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0))) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4485_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5675,plain,
% 11.54/11.79 ( hBOOL(hAPP(X0,X1))
% 11.54/11.79 | ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0))) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_376]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5676,plain,
% 11.54/11.79 ( ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0)))
% 11.54/11.79 | hBOOL(hAPP(X0,X1)) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5675]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_366,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4488_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5655,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_366]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5656,plain,
% 11.54/11.79 ( c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2)
% 11.54/11.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5655]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_357,plain,
% 11.54/11.79 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4491_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5637,plain,
% 11.54/11.79 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_357]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5638,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5637]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_354,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4492_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5631,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_354]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5632,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5631]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_352,plain,
% 11.54/11.79 ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1)))
% 11.54/11.79 | ~ c_InductTermi_OIT(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4493_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5627,plain,
% 11.54/11.79 ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1)))
% 11.54/11.79 | ~ c_InductTermi_OIT(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_352]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_351,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4494_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5625,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_351]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_349,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4494_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5621,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_349]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5622,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5621]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_345,plain,
% 11.54/11.79 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 11.54/11.79 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4496_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5613,plain,
% 11.54/11.79 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 11.54/11.79 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_345]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5614,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.54/11.79 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5613]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_343,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4499_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5609,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_343]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5610,plain,
% 11.54/11.79 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5609]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_341,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4500_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5605,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_341]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5606,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5605]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_339,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4501_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5601,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_339]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5602,plain,
% 11.54/11.79 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5601]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_335,plain,
% 11.54/11.79 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4503_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5593,plain,
% 11.54/11.79 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 11.54/11.79 inference(copy,[status(esa)],[c_335]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5594,plain,
% 11.54/11.79 ( c_List_Oappend(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil(X2) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5593]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_331,plain,
% 11.54/11.79 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4505_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5585,plain,
% 11.54/11.79 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 11.54/11.79 inference(copy,[status(esa)],[c_331]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5586,plain,
% 11.54/11.79 ( c_List_Oappend(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil(X2) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5585]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_329,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4506_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5581,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_329]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5582,plain,
% 11.54/11.79 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 11.54/11.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5581]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_325,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4512_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5573,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_325]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_323,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4512_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5569,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_323]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5570,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5569]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_321,plain,
% 11.54/11.79 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 11.54/11.79 | ~ c_Lambda_Obeta(X0,X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4513_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5565,plain,
% 11.54/11.79 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 11.54/11.79 | ~ c_Lambda_Obeta(X0,X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_321]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_319,plain,
% 11.54/11.79 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4516_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5561,plain,
% 11.54/11.79 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_319]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5562,plain,
% 11.54/11.79 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5561]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_316,plain,
% 11.54/11.79 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | ~ class_Power_Opower(X0)
% 11.54/11.79 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4520_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5555,plain,
% 11.54/11.79 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | ~ class_Power_Opower(X0)
% 11.54/11.79 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_316]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5556,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 11.54/11.79 | ~ class_Power_Opower(X0)
% 11.54/11.79 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5555]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_312,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_Power_Opower(X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4524_3) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5547,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_Power_Opower(X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_312]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5548,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 11.54/11.79 | ~ class_Power_Opower(X0)
% 11.54/11.79 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5547]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_310,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4525_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5543,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_310]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5544,plain,
% 11.54/11.79 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5543]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_308,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4531_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5539,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_308]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5540,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5539]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_306,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4532_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5535,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_306]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5536,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5535]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_302,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4534_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5527,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 11.54/11.79 inference(copy,[status(esa)],[c_302]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5528,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 11.54/11.79 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5527]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_299,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.54/11.79 | ~ class_Int_Onumber__ring(X0)
% 11.54/11.79 | ~ class_Ring__and__Field_Oidom(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4535_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5521,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.54/11.79 | ~ class_Int_Onumber__ring(X0)
% 11.54/11.79 | ~ class_Ring__and__Field_Oidom(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_299]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5522,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.54/11.79 | ~ class_Int_Onumber__ring(X0)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5521]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_296,plain,
% 11.54/11.79 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_Int_Onumber__ring(X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Oidom(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4536_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5515,plain,
% 11.54/11.79 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_Int_Onumber__ring(X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Oidom(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_296]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5516,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.54/11.79 | ~ class_Int_Onumber__ring(X0)
% 11.54/11.79 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5515]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_292,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 11.54/11.79 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4538_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5507,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 11.54/11.79 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_292]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5508,plain,
% 11.54/11.79 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5507]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_290,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 11.54/11.79 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4539_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5503,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 11.54/11.79 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_290]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5504,plain,
% 11.54/11.79 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5503]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_288,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 11.54/11.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4540_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5499,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 11.54/11.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_288]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5500,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5499]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_284,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4542_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5491,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_284]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5492,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5491]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_282,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4543_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5487,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_282]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5488,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5487]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_280,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4544_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5483,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_280]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5484,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5483]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_278,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4545_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5479,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_278]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5480,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5479]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_276,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4546_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5475,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_276]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5476,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5475]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_274,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4547_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5471,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_274]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5472,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5471]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_272,plain,
% 11.54/11.79 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 11.54/11.79 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4552_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5467,plain,
% 11.54/11.79 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 11.54/11.79 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_272]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5468,plain,
% 11.54/11.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.54/11.79 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5467]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_270,plain,
% 11.54/11.79 ( c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0)
% 11.54/11.79 | ~ class_Orderings_Obot(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4554_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5463,plain,
% 11.54/11.79 ( c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0)
% 11.54/11.79 | ~ class_Orderings_Obot(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_270]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5464,plain,
% 11.54/11.79 ( ~ class_Orderings_Obot(X0)
% 11.54/11.79 | c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5463]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_268,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.54/11.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4555_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5459,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.54/11.79 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_268]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5460,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5459]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_266,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.54/11.79 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4556_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5455,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.54/11.79 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_266]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5456,plain,
% 11.54/11.79 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5455]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_264,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.54/11.79 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4557_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5451,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.54/11.79 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_264]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5452,plain,
% 11.54/11.79 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.54/11.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5451]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_262,plain,
% 11.54/11.79 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4558_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5447,plain,
% 11.54/11.79 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_262]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5448,plain,
% 11.54/11.79 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.54/11.79 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5447]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_258,plain,
% 11.54/11.79 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4560_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5439,plain,
% 11.54/11.79 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.54/11.79 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_258]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5440,plain,
% 11.54/11.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.54/11.79 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5439]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_256,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 11.54/11.79 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4569_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5435,plain,
% 11.54/11.79 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 11.54/11.79 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_256]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5436,plain,
% 11.54/11.79 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 11.54/11.79 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5435]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_254,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omax(X0,X0,X1) = X0
% 11.54/11.79 | ~ class_Orderings_Olinorder(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4570_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5431,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omax(X0,X0,X1) = X0
% 11.54/11.79 | ~ class_Orderings_Olinorder(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_254]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5432,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | c_Orderings_Oord__class_Omax(X1,X1,X0) = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5431]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_252,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omin(X0,X0,X1) = X0
% 11.54/11.79 | ~ class_Orderings_Olinorder(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4571_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5427,plain,
% 11.54/11.79 ( c_Orderings_Oord__class_Omin(X0,X0,X1) = X0
% 11.54/11.79 | ~ class_Orderings_Olinorder(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_252]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5428,plain,
% 11.54/11.79 ( ~ class_Orderings_Olinorder(X0)
% 11.54/11.79 | c_Orderings_Oord__class_Omin(X1,X1,X0) = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5427]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_250,plain,
% 11.54/11.79 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4574_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5423,plain,
% 11.54/11.79 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_250]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5424,plain,
% 11.54/11.79 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5423]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_248,plain,
% 11.54/11.79 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4575_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5419,plain,
% 11.54/11.79 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_248]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5420,plain,
% 11.54/11.79 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5419]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_246,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4584_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5415,plain,
% 11.54/11.79 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.54/11.79 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_246]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5416,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.54/11.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5415]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_243,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 11.54/11.79 | ~ class_Nat_Osemiring__char__0(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4601_2) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5409,plain,
% 11.54/11.79 ( X0 = X1
% 11.54/11.79 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 11.54/11.79 | ~ class_Nat_Osemiring__char__0(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_243]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5410,plain,
% 11.54/11.79 ( ~ class_Nat_Osemiring__char__0(X0)
% 11.54/11.79 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 11.54/11.79 | X1 = X2 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5409]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_241,plain,
% 11.54/11.79 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 11.54/11.79 | ~ c_Lambda_Obeta(X0,X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4608_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5405,plain,
% 11.54/11.79 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 11.54/11.79 | ~ c_Lambda_Obeta(X0,X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_241]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_239,plain,
% 11.54/11.79 ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4609_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5401,plain,
% 11.54/11.79 ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_239]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_237,plain,
% 11.54/11.79 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4610_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5397,plain,
% 11.54/11.79 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_237]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_235,plain,
% 11.54/11.79 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 11.54/11.79 | ~ class_Orderings_Opreorder(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4611_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5393,plain,
% 11.54/11.79 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 11.54/11.79 | ~ class_Orderings_Opreorder(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_235]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_233,plain,
% 11.54/11.79 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4612_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5389,plain,
% 11.54/11.79 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_233]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_231,plain,
% 11.54/11.79 ( c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4614_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5385,plain,
% 11.54/11.79 ( c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_231]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5386,plain,
% 11.54/11.79 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 11.54/11.79 | c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5385]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_229,plain,
% 11.54/11.79 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4615_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5381,plain,
% 11.54/11.79 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.54/11.79 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_229]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5382,plain,
% 11.54/11.79 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 11.54/11.79 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5381]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_227,plain,
% 11.54/11.79 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4618_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5377,plain,
% 11.54/11.79 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_227]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_225,plain,
% 11.54/11.79 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4619_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5373,plain,
% 11.54/11.79 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_225]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5374,plain,
% 11.54/11.79 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5373]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_223,plain,
% 11.54/11.79 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4620_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5369,plain,
% 11.54/11.79 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_223]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5370,plain,
% 11.54/11.79 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5369]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_219,plain,
% 11.54/11.79 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4622_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5361,plain,
% 11.54/11.79 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_219]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5362,plain,
% 11.54/11.79 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5361]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_217,plain,
% 11.54/11.79 ( X0 = X1 | c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4623_1) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5357,plain,
% 11.54/11.79 ( X0 = X1 | c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_217]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5358,plain,
% 11.54/11.79 ( c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) | X0 = X1 ),
% 11.54/11.79 inference(rewriting,[status(thm)],[c_5357]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_216,plain,
% 11.54/11.79 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3809_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5355,plain,
% 11.54/11.79 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_216]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_215,plain,
% 11.54/11.79 ( hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3843_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5353,plain,
% 11.54/11.79 ( hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_215]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_214,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4284_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5351,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_214]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_213,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4285_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5349,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_213]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_212,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4497_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5347,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_212]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_211,plain,
% 11.54/11.79 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4498_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5345,plain,
% 11.54/11.79 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_211]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_208,plain,
% 11.54/11.79 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4509_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5339,plain,
% 11.54/11.79 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_208]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_206,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4515_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5335,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_206]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_204,plain,
% 11.54/11.79 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4518_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5331,plain,
% 11.54/11.79 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 11.54/11.79 inference(copy,[status(esa)],[c_204]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_202,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4523_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5327,plain,
% 11.54/11.79 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_202]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_201,plain,
% 11.54/11.79 ( c_Type_Otype_OAtom(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4563_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5325,plain,
% 11.54/11.79 ( c_Type_Otype_OAtom(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_201]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_200,plain,
% 11.54/11.79 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != c_Type_Otype_OAtom(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4564_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5323,plain,
% 11.54/11.79 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != c_Type_Otype_OAtom(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_200]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_199,plain,
% 11.54/11.79 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4565_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5321,plain,
% 11.54/11.79 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_199]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_198,plain,
% 11.54/11.79 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4566_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5319,plain,
% 11.54/11.79 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_198]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_197,plain,
% 11.54/11.79 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4567_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5317,plain,
% 11.54/11.79 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_197]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_196,plain,
% 11.54/11.79 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4568_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5315,plain,
% 11.54/11.79 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_196]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_195,plain,
% 11.54/11.79 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4613_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5313,plain,
% 11.54/11.79 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_195]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_194,plain,
% 11.54/11.79 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4625_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5311,plain,
% 11.54/11.79 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_194]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_193,plain,
% 11.54/11.79 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4626_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5309,plain,
% 11.54/11.79 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_193]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_191,plain,
% 11.54/11.79 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4629_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5305,plain,
% 11.54/11.79 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_191]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_189,plain,
% 11.54/11.79 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4631_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5301,plain,
% 11.54/11.79 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_189]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_187,plain,
% 11.54/11.79 ( c_Suc(X0) != X0 ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4635_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5297,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_187]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_182,plain,
% 11.54/11.79 ( 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))) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3799_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5290,plain,
% 11.54/11.79 ( 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))) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_182]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_165,plain,
% 11.54/11.79 ( 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)) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3898_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5269,plain,
% 11.54/11.79 ( 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)) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_165]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_162,plain,
% 11.54/11.79 ( 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) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_3947_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5265,plain,
% 11.54/11.79 ( 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) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_162]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_149,plain,
% 11.54/11.79 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat),tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4088_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5249,plain,
% 11.54/11.79 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat),tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_149]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_135,plain,
% 11.54/11.79 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4194_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5234,plain,
% 11.54/11.79 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_135]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_129,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4211_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5227,plain,
% 11.54/11.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 11.54/11.79 inference(copy,[status(esa)],[c_129]) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_122,plain,
% 11.54/11.79 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 11.54/11.79 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4253_0) ).
% 11.54/11.79
% 11.54/11.79 cnf(c_5218,plain,
% 11.54/11.80 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_122]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_121,plain,
% 11.54/11.80 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4254_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5216,plain,
% 11.54/11.80 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_121]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_120,plain,
% 11.54/11.80 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4286_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5214,plain,
% 11.54/11.80 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_120]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_109,plain,
% 11.54/11.80 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4358_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5202,plain,
% 11.54/11.80 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_109]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_108,plain,
% 11.54/11.80 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4359_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5200,plain,
% 11.54/11.80 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_108]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_107,plain,
% 11.54/11.80 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4360_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5198,plain,
% 11.54/11.80 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_107]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_100,plain,
% 11.54/11.80 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4407_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5189,plain,
% 11.54/11.80 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_100]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_99,plain,
% 11.54/11.80 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4408_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5187,plain,
% 11.54/11.80 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_99]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_96,plain,
% 11.54/11.80 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4450_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5183,plain,
% 11.54/11.80 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_96]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_95,plain,
% 11.54/11.80 ( 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) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4455_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5181,plain,
% 11.54/11.80 ( 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) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_95]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_94,plain,
% 11.54/11.80 ( 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) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4456_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5179,plain,
% 11.54/11.80 ( 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) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_94]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_92,plain,
% 11.54/11.80 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4471_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5176,plain,
% 11.54/11.80 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_92]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_91,plain,
% 11.54/11.80 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4510_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5174,plain,
% 11.54/11.80 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_91]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_90,plain,
% 11.54/11.80 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4519_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5172,plain,
% 11.54/11.80 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_90]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_79,plain,
% 11.54/11.80 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4553_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5160,plain,
% 11.54/11.80 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_79]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_78,plain,
% 11.54/11.80 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4561_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5158,plain,
% 11.54/11.80 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_78]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_75,plain,
% 11.54/11.80 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4573_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5153,plain,
% 11.54/11.80 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_75]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_66,plain,
% 11.54/11.80 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4585_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5143,plain,
% 11.54/11.80 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_66]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_64,plain,
% 11.54/11.80 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4587_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5139,plain,
% 11.54/11.80 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_64]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_53,plain,
% 11.54/11.80 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4598_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5127,plain,
% 11.54/11.80 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_53]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_51,plain,
% 11.54/11.80 ( c_fequal(X0,X0,X1) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4600_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5124,plain,
% 11.54/11.80 ( c_fequal(X0,X0,X1) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_51]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_48,plain,
% 11.54/11.80 ( c_lessequals(X0,X0,tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4604_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5119,plain,
% 11.54/11.80 ( c_lessequals(X0,X0,tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_48]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_47,plain,
% 11.54/11.80 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4605_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5117,plain,
% 11.54/11.80 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_47]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_40,plain,
% 11.54/11.80 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4632_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5109,plain,
% 11.54/11.80 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_40]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_36,plain,
% 11.54/11.80 ( class_Power_Opower(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4638_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5104,plain,
% 11.54/11.80 ( class_Power_Opower(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_36]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_35,plain,
% 11.54/11.80 ( class_Orderings_Obot(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4639_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5102,plain,
% 11.54/11.80 ( class_Orderings_Obot(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_35]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_34,plain,
% 11.54/11.80 ( class_Orderings_Oorder(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4640_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5100,plain,
% 11.54/11.80 ( class_Orderings_Oorder(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_34]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_33,plain,
% 11.54/11.80 ( class_Orderings_Olinorder(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4641_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5098,plain,
% 11.54/11.80 ( class_Orderings_Olinorder(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_33]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_32,plain,
% 11.54/11.80 ( class_Orderings_Opreorder(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4642_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5096,plain,
% 11.54/11.80 ( class_Orderings_Opreorder(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_32]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_31,plain,
% 11.54/11.80 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4643_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5094,plain,
% 11.54/11.80 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_31]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_30,plain,
% 11.54/11.80 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4644_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5092,plain,
% 11.54/11.80 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_30]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_29,plain,
% 11.54/11.80 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4645_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5090,plain,
% 11.54/11.80 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_29]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_28,plain,
% 11.54/11.80 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4646_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5088,plain,
% 11.54/11.80 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_28]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_27,plain,
% 11.54/11.80 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4647_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5086,plain,
% 11.54/11.80 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_27]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_26,plain,
% 11.54/11.80 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4648_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5084,plain,
% 11.54/11.80 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_26]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_25,plain,
% 11.54/11.80 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4649_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5082,plain,
% 11.54/11.80 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_25]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_24,plain,
% 11.54/11.80 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4650_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5080,plain,
% 11.54/11.80 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_24]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_23,plain,
% 11.54/11.80 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4651_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5078,plain,
% 11.54/11.80 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_23]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_22,plain,
% 11.54/11.80 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4652_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5076,plain,
% 11.54/11.80 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_22]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_21,plain,
% 11.54/11.80 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4653_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5074,plain,
% 11.54/11.80 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_21]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_20,plain,
% 11.54/11.80 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4654_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5072,plain,
% 11.54/11.80 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_20]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_19,plain,
% 11.54/11.80 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4655_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5070,plain,
% 11.54/11.80 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_19]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_18,plain,
% 11.54/11.80 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4656_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5068,plain,
% 11.54/11.80 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_18]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_17,plain,
% 11.54/11.80 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4657_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5066,plain,
% 11.54/11.80 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_17]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_16,plain,
% 11.54/11.80 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4658_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5064,plain,
% 11.54/11.80 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_16]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_15,plain,
% 11.54/11.80 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4659_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5062,plain,
% 11.54/11.80 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_15]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_14,plain,
% 11.54/11.80 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4660_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5060,plain,
% 11.54/11.80 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_14]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_13,plain,
% 11.54/11.80 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4661_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5058,plain,
% 11.54/11.80 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_13]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_12,plain,
% 11.54/11.80 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4662_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5056,plain,
% 11.54/11.80 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_12]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_11,plain,
% 11.54/11.80 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4663_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5054,plain,
% 11.54/11.80 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_11]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_10,plain,
% 11.54/11.80 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4664_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5052,plain,
% 11.54/11.80 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_10]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_9,plain,
% 11.54/11.80 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4665_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5050,plain,
% 11.54/11.80 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_9]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_8,plain,
% 11.54/11.80 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4666_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5048,plain,
% 11.54/11.80 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_8]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_7,plain,
% 11.54/11.80 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4667_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5046,plain,
% 11.54/11.80 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_7]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_6,plain,
% 11.54/11.80 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4668_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5044,plain,
% 11.54/11.80 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_6]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5,plain,
% 11.54/11.80 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4669_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5042,plain,
% 11.54/11.80 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_5]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_4,plain,
% 11.54/11.80 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4670_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5040,plain,
% 11.54/11.80 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_4]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_3,plain,
% 11.54/11.80 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4671_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5038,plain,
% 11.54/11.80 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_3]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_2,plain,
% 11.54/11.80 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4672_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5036,plain,
% 11.54/11.80 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_2]) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_1,plain,
% 11.54/11.80 ( c_InductTermi_OIT(v_u____) ),
% 11.54/11.80 file('/export/starexec/sandbox/tmp/iprover_modulo_0623f6.p', c_0_4673_0) ).
% 11.54/11.80
% 11.54/11.80 cnf(c_5034,plain,
% 11.54/11.80 ( c_InductTermi_OIT(v_u____) ),
% 11.54/11.80 inference(copy,[status(esa)],[c_1]) ).
% 11.54/11.80
% 11.54/11.80
% 11.54/11.80
% 11.54/11.80 % ------ Statistics
% 11.54/11.80
% 11.54/11.80 % ------ General
% 11.54/11.80
% 11.54/11.80 % num_of_input_clauses: 2217
% 11.54/11.80 % num_of_input_neg_conjectures: 1
% 11.54/11.80 % num_of_splits: 0
% 11.54/11.80 % num_of_split_atoms: 0
% 11.54/11.80 % num_of_sem_filtered_clauses: 0
% 11.54/11.80 % num_of_subtypes: 0
% 11.54/11.80 % monotx_restored_types: 0
% 11.54/11.80 % sat_num_of_epr_types: 0
% 11.54/11.80 % sat_num_of_non_cyclic_types: 0
% 11.54/11.80 % sat_guarded_non_collapsed_types: 0
% 11.54/11.80 % is_epr: 0
% 11.54/11.80 % is_horn: 0
% 11.54/11.80 % has_eq: 1
% 11.54/11.80 % num_pure_diseq_elim: 0
% 11.54/11.80 % simp_replaced_by: 0
% 11.54/11.80 % res_preprocessed: 2
% 11.54/11.80 % prep_upred: 0
% 11.54/11.80 % prep_unflattend: 0
% 11.54/11.80 % pred_elim_cands: 0
% 11.54/11.80 % pred_elim: 0
% 11.54/11.80 % pred_elim_cl: 0
% 11.54/11.80 % pred_elim_cycles: 0
% 11.54/11.80 % forced_gc_time: 0
% 11.54/11.80 % gc_basic_clause_elim: 0
% 11.54/11.80 % parsing_time: 0.117
% 11.54/11.80 % sem_filter_time: 0.
% 11.54/11.80 % pred_elim_time: 0.
% 11.54/11.80 % out_proof_time: 0.
% 11.54/11.80 % monotx_time: 0.
% 11.54/11.80 % subtype_inf_time: 0.
% 11.54/11.80 % unif_index_cands_time: 0.
% 11.54/11.80 % unif_index_add_time: 0.001
% 11.54/11.80 % total_time: 5.413
% 11.54/11.80 % num_of_symbols: 152
% 11.54/11.80 % num_of_terms: 4436
% 11.54/11.80
% 11.54/11.80 % ------ Propositional Solver
% 11.54/11.80
% 11.54/11.80 % prop_solver_calls: 1
% 11.54/11.80 % prop_fast_solver_calls: 3
% 11.54/11.80 % prop_num_of_clauses: 1985
% 11.54/11.80 % prop_preprocess_simplified: 6777
% 11.54/11.80 % prop_fo_subsumed: 0
% 11.54/11.80 % prop_solver_time: 0.
% 11.54/11.80 % prop_fast_solver_time: 0.
% 11.54/11.80 % prop_unsat_core_time: 0.
% 11.54/11.80
% 11.54/11.80 % ------ QBF
% 11.54/11.80
% 11.54/11.80 % qbf_q_res: 0
% 11.54/11.80 % qbf_num_tautologies: 0
% 11.54/11.80 % qbf_prep_cycles: 0
% 11.54/11.80
% 11.54/11.80 % ------ BMC1
% 11.54/11.80
% 11.54/11.80 % bmc1_current_bound: -1
% 11.54/11.80 % bmc1_last_solved_bound: -1
% 11.54/11.80 % bmc1_unsat_core_size: -1
% 11.54/11.80 % bmc1_unsat_core_parents_size: -1
% 11.54/11.80 % bmc1_merge_next_fun: 0
% 11.54/11.80 % bmc1_unsat_core_clauses_time: 0.
% 11.54/11.80
% 11.54/11.80 % ------ Instantiation
% 11.54/11.80
% 11.54/11.80 % inst_num_of_clauses: 1920
% 11.54/11.80 % inst_num_in_passive: 0
% 11.54/11.80 % inst_num_in_active: 0
% 11.54/11.80 % inst_num_in_unprocessed: 2217
% 11.54/11.80 % inst_num_of_loops: 0
% 11.54/11.80 % inst_num_of_learning_restarts: 0
% 11.54/11.80 % inst_num_moves_active_passive: 0
% 11.54/11.80 % inst_lit_activity: 0
% 11.54/11.80 % inst_lit_activity_moves: 0
% 11.54/11.80 % inst_num_tautologies: 0
% 11.54/11.80 % inst_num_prop_implied: 0
% 11.54/11.80 % inst_num_existing_simplified: 0
% 11.54/11.80 % inst_num_eq_res_simplified: 0
% 11.54/11.80 % inst_num_child_elim: 0
% 11.54/11.80 % inst_num_of_dismatching_blockings: 0
% 11.54/11.80 % inst_num_of_non_proper_insts: 0
% 11.54/11.80 % inst_num_of_duplicates: 0
% 11.54/11.80 % inst_inst_num_from_inst_to_res: 0
% 11.54/11.80 % inst_dismatching_checking_time: 0.
% 11.54/11.80
% 11.54/11.80 % ------ Resolution
% 11.54/11.80
% 11.54/11.80 % res_num_of_clauses: 2096
% 11.54/11.80 % res_num_in_passive: 0
% 11.54/11.80 % res_num_in_active: 795
% 11.54/11.80 % res_num_of_loops: 3
% 11.54/11.80 % res_forward_subset_subsumed: 1312
% 11.54/11.80 % res_backward_subset_subsumed: 0
% 11.54/11.80 % res_forward_subsumed: 1
% 11.54/11.80 % res_backward_subsumed: 0
% 11.54/11.80 % res_forward_subsumption_resolution: 0
% 11.54/11.80 % res_backward_subsumption_resolution: 0
% 11.54/11.80 % res_clause_to_clause_subsumption: 1
% 11.54/11.80 % res_orphan_elimination: 0
% 11.54/11.80 % res_tautology_del: 0
% 11.54/11.80 % res_num_eq_res_simplified: 0
% 11.54/11.80 % res_num_sel_changes: 0
% 11.54/11.80 % res_moves_from_active_to_pass: 0
% 11.54/11.80
% 11.54/11.80 % Status Unknown
% 11.54/11.80 % Last status :
% 11.54/11.80 % SZS status Unknown
%------------------------------------------------------------------------------