TSTP Solution File: LCL790-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL790-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 11:39:42 EDT 2022
% Result : Unknown 153.09s 153.36s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LCL790-1 : TPTP v8.1.0. Released v4.1.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.14/0.34 % Computer : n023.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 : Sat Jul 2 14:58:58 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Running in mono-core mode
% 0.20/0.51 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.51 % Orientation found
% 0.20/0.51 % 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_a1a8fa.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_e024b7.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_fda393 | grep -v "SZS"
% 0.20/0.53
% 0.20/0.53 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.53
% 0.20/0.53 %
% 0.20/0.53 % ------ iProver source info
% 0.20/0.53
% 0.20/0.53 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.53 % git: non_committed_changes: true
% 0.20/0.53 % git: last_make_outside_of_git: true
% 0.20/0.53
% 0.20/0.53 %
% 0.20/0.53 % ------ Input Options
% 0.20/0.53
% 0.20/0.53 % --out_options all
% 0.20/0.53 % --tptp_safe_out true
% 0.20/0.53 % --problem_path ""
% 0.20/0.53 % --include_path ""
% 0.20/0.53 % --clausifier .//eprover
% 0.20/0.53 % --clausifier_options --tstp-format
% 0.20/0.53 % --stdin false
% 0.20/0.53 % --dbg_backtrace false
% 0.20/0.53 % --dbg_dump_prop_clauses false
% 0.20/0.53 % --dbg_dump_prop_clauses_file -
% 0.20/0.53 % --dbg_out_stat false
% 0.20/0.53
% 0.20/0.53 % ------ General Options
% 0.20/0.53
% 0.20/0.53 % --fof false
% 0.20/0.53 % --time_out_real 150.
% 0.20/0.53 % --time_out_prep_mult 0.2
% 0.20/0.53 % --time_out_virtual -1.
% 0.20/0.53 % --schedule none
% 0.20/0.53 % --ground_splitting input
% 0.20/0.53 % --splitting_nvd 16
% 0.20/0.53 % --non_eq_to_eq false
% 0.20/0.53 % --prep_gs_sim true
% 0.20/0.53 % --prep_unflatten false
% 0.20/0.53 % --prep_res_sim true
% 0.20/0.53 % --prep_upred true
% 0.20/0.53 % --res_sim_input true
% 0.20/0.53 % --clause_weak_htbl true
% 0.20/0.53 % --gc_record_bc_elim false
% 0.20/0.53 % --symbol_type_check false
% 0.20/0.53 % --clausify_out false
% 0.20/0.53 % --large_theory_mode false
% 0.20/0.53 % --prep_sem_filter none
% 0.20/0.53 % --prep_sem_filter_out false
% 0.20/0.53 % --preprocessed_out false
% 0.20/0.53 % --sub_typing false
% 0.20/0.53 % --brand_transform false
% 0.20/0.53 % --pure_diseq_elim true
% 0.20/0.53 % --min_unsat_core false
% 0.20/0.53 % --pred_elim true
% 0.20/0.53 % --add_important_lit false
% 0.20/0.53 % --soft_assumptions false
% 0.20/0.53 % --reset_solvers false
% 0.20/0.53 % --bc_imp_inh []
% 0.20/0.53 % --conj_cone_tolerance 1.5
% 0.20/0.53 % --prolific_symb_bound 500
% 0.20/0.53 % --lt_threshold 2000
% 0.20/0.53
% 0.20/0.53 % ------ SAT Options
% 0.20/0.53
% 0.20/0.53 % --sat_mode false
% 0.20/0.53 % --sat_fm_restart_options ""
% 0.20/0.53 % --sat_gr_def false
% 0.20/0.53 % --sat_epr_types true
% 0.20/0.53 % --sat_non_cyclic_types false
% 0.20/0.53 % --sat_finite_models false
% 0.20/0.53 % --sat_fm_lemmas false
% 0.20/0.53 % --sat_fm_prep false
% 0.20/0.53 % --sat_fm_uc_incr true
% 0.20/0.53 % --sat_out_model small
% 0.20/0.53 % --sat_out_clauses false
% 0.20/0.53
% 0.20/0.53 % ------ QBF Options
% 0.20/0.53
% 0.20/0.53 % --qbf_mode false
% 0.20/0.53 % --qbf_elim_univ true
% 0.20/0.53 % --qbf_sk_in true
% 0.20/0.53 % --qbf_pred_elim true
% 0.20/0.53 % --qbf_split 32
% 0.20/0.53
% 0.20/0.53 % ------ BMC1 Options
% 0.20/0.53
% 0.20/0.53 % --bmc1_incremental false
% 0.20/0.53 % --bmc1_axioms reachable_all
% 0.20/0.53 % --bmc1_min_bound 0
% 0.20/0.53 % --bmc1_max_bound -1
% 0.20/0.53 % --bmc1_max_bound_default -1
% 0.20/0.53 % --bmc1_symbol_reachability true
% 0.20/0.53 % --bmc1_property_lemmas false
% 0.20/0.53 % --bmc1_k_induction false
% 0.20/0.53 % --bmc1_non_equiv_states false
% 0.20/0.53 % --bmc1_deadlock false
% 0.20/0.53 % --bmc1_ucm false
% 0.20/0.53 % --bmc1_add_unsat_core none
% 0.20/0.53 % --bmc1_unsat_core_children false
% 0.20/0.53 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.53 % --bmc1_out_stat full
% 0.20/0.53 % --bmc1_ground_init false
% 0.20/0.53 % --bmc1_pre_inst_next_state false
% 0.20/0.53 % --bmc1_pre_inst_state false
% 0.20/0.53 % --bmc1_pre_inst_reach_state false
% 0.20/0.53 % --bmc1_out_unsat_core false
% 0.20/0.53 % --bmc1_aig_witness_out false
% 0.20/0.53 % --bmc1_verbose false
% 0.20/0.53 % --bmc1_dump_clauses_tptp false
% 4.64/4.86 % --bmc1_dump_unsat_core_tptp false
% 4.64/4.86 % --bmc1_dump_file -
% 4.64/4.86 % --bmc1_ucm_expand_uc_limit 128
% 4.64/4.86 % --bmc1_ucm_n_expand_iterations 6
% 4.64/4.86 % --bmc1_ucm_extend_mode 1
% 4.64/4.86 % --bmc1_ucm_init_mode 2
% 4.64/4.86 % --bmc1_ucm_cone_mode none
% 4.64/4.86 % --bmc1_ucm_reduced_relation_type 0
% 4.64/4.86 % --bmc1_ucm_relax_model 4
% 4.64/4.86 % --bmc1_ucm_full_tr_after_sat true
% 4.64/4.86 % --bmc1_ucm_expand_neg_assumptions false
% 4.64/4.86 % --bmc1_ucm_layered_model none
% 4.64/4.86 % --bmc1_ucm_max_lemma_size 10
% 4.64/4.86
% 4.64/4.86 % ------ AIG Options
% 4.64/4.86
% 4.64/4.86 % --aig_mode false
% 4.64/4.86
% 4.64/4.86 % ------ Instantiation Options
% 4.64/4.86
% 4.64/4.86 % --instantiation_flag true
% 4.64/4.86 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 4.64/4.86 % --inst_solver_per_active 750
% 4.64/4.86 % --inst_solver_calls_frac 0.5
% 4.64/4.86 % --inst_passive_queue_type priority_queues
% 4.64/4.86 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 4.64/4.86 % --inst_passive_queues_freq [25;2]
% 4.64/4.86 % --inst_dismatching true
% 4.64/4.86 % --inst_eager_unprocessed_to_passive true
% 4.64/4.86 % --inst_prop_sim_given true
% 4.64/4.86 % --inst_prop_sim_new false
% 4.64/4.86 % --inst_orphan_elimination true
% 4.64/4.86 % --inst_learning_loop_flag true
% 4.64/4.86 % --inst_learning_start 3000
% 4.64/4.86 % --inst_learning_factor 2
% 4.64/4.86 % --inst_start_prop_sim_after_learn 3
% 4.64/4.86 % --inst_sel_renew solver
% 4.64/4.86 % --inst_lit_activity_flag true
% 4.64/4.86 % --inst_out_proof true
% 4.64/4.86
% 4.64/4.86 % ------ Resolution Options
% 4.64/4.86
% 4.64/4.86 % --resolution_flag true
% 4.64/4.86 % --res_lit_sel kbo_max
% 4.64/4.86 % --res_to_prop_solver none
% 4.64/4.86 % --res_prop_simpl_new false
% 4.64/4.86 % --res_prop_simpl_given false
% 4.64/4.86 % --res_passive_queue_type priority_queues
% 4.64/4.86 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 4.64/4.86 % --res_passive_queues_freq [15;5]
% 4.64/4.86 % --res_forward_subs full
% 4.64/4.86 % --res_backward_subs full
% 4.64/4.86 % --res_forward_subs_resolution true
% 4.64/4.86 % --res_backward_subs_resolution true
% 4.64/4.86 % --res_orphan_elimination false
% 4.64/4.86 % --res_time_limit 1000.
% 4.64/4.86 % --res_out_proof true
% 4.64/4.86 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_a1a8fa.s
% 4.64/4.86 % --modulo true
% 4.64/4.86
% 4.64/4.86 % ------ Combination Options
% 4.64/4.86
% 4.64/4.86 % --comb_res_mult 1000
% 4.64/4.86 % --comb_inst_mult 300
% 4.64/4.86 % ------
% 4.64/4.86
% 4.64/4.86 % ------ Parsing...% successful
% 4.64/4.86
% 4.64/4.86 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 4.64/4.86
% 4.64/4.86 % ------ Proving...
% 4.64/4.86 % ------ Problem Properties
% 4.64/4.86
% 4.64/4.86 %
% 4.64/4.86 % EPR false
% 4.64/4.86 % Horn false
% 4.64/4.86 % Has equality true
% 4.64/4.86
% 4.64/4.86 % % ------ Input Options Time Limit: Unbounded
% 4.64/4.86
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% 4.64/4.86 % % ------ Current options:
% 4.64/4.86
% 4.64/4.86 % ------ Input Options
% 4.64/4.86
% 4.64/4.86 % --out_options all
% 4.64/4.86 % --tptp_safe_out true
% 4.64/4.86 % --problem_path ""
% 4.64/4.86 % --include_path ""
% 4.64/4.86 % --clausifier .//eprover
% 4.64/4.86 % --clausifier_options --tstp-format
% 4.64/4.86 % --stdin false
% 4.64/4.86 % --dbg_backtrace false
% 4.64/4.86 % --dbg_dump_prop_clauses false
% 4.64/4.86 % --dbg_dump_prop_clauses_file -
% 4.64/4.86 % --dbg_out_stat false
% 4.64/4.86
% 4.64/4.86 % ------ General Options
% 4.64/4.86
% 4.64/4.86 % --fof false
% 4.64/4.86 % --time_out_real 150.
% 4.64/4.86 % --time_out_prep_mult 0.2
% 4.64/4.86 % --time_out_virtual -1.
% 4.64/4.86 % --schedule none
% 4.64/4.86 % --ground_splitting input
% 4.64/4.86 % --splitting_nvd 16
% 4.64/4.86 % --non_eq_to_eq false
% 4.64/4.86 % --prep_gs_sim true
% 4.64/4.86 % --prep_unflatten false
% 4.64/4.86 % --prep_res_sim true
% 4.64/4.86 % --prep_upred true
% 4.64/4.86 % --res_sim_input true
% 4.64/4.86 % --clause_weak_htbl true
% 4.64/4.86 % --gc_record_bc_elim false
% 4.64/4.86 % --symbol_type_check false
% 4.64/4.86 % --clausify_out false
% 4.64/4.86 % --large_theory_mode false
% 4.64/4.86 % --prep_sem_filter none
% 4.64/4.86 % --prep_sem_filter_out false
% 4.64/4.86 % --preprocessed_out false
% 4.64/4.86 % --sub_typing false
% 4.64/4.86 % --brand_transform false
% 4.64/4.86 % --pure_diseq_elim true
% 4.64/4.86 % --min_unsat_core false
% 4.64/4.86 % --pred_elim true
% 4.64/4.86 % --add_important_lit false
% 4.64/4.86 % --soft_assumptions false
% 4.64/4.86 % --reset_solvers false
% 4.64/4.86 % --bc_imp_inh []
% 4.64/4.86 % --conj_cone_tolerance 1.5
% 4.64/4.86 % --prolific_symb_bound 500
% 4.64/4.86 % --lt_threshold 2000
% 4.64/4.86
% 4.64/4.86 % ------ SAT Options
% 4.64/4.86
% 4.64/4.86 % --sat_mode false
% 4.64/4.86 % --sat_fm_restart_options ""
% 4.64/4.86 % --sat_gr_def false
% 4.64/4.86 % --sat_epr_types true
% 4.64/4.86 % --sat_non_cyclic_types false
% 4.64/4.86 % --sat_finite_models false
% 4.64/4.86 % --sat_fm_lemmas false
% 4.64/4.86 % --sat_fm_prep false
% 4.64/4.86 % --sat_fm_uc_incr true
% 4.64/4.86 % --sat_out_model small
% 4.64/4.86 % --sat_out_clauses false
% 4.64/4.86
% 4.64/4.86 % ------ QBF Options
% 4.64/4.86
% 4.64/4.86 % --qbf_mode false
% 4.64/4.86 % --qbf_elim_univ true
% 4.64/4.86 % --qbf_sk_in true
% 4.64/4.86 % --qbf_pred_elim true
% 4.64/4.86 % --qbf_split 32
% 4.64/4.86
% 4.64/4.86 % ------ BMC1 Options
% 4.64/4.86
% 4.64/4.86 % --bmc1_incremental false
% 4.64/4.86 % --bmc1_axioms reachable_all
% 4.64/4.86 % --bmc1_min_bound 0
% 4.64/4.86 % --bmc1_max_bound -1
% 4.64/4.86 % --bmc1_max_bound_default -1
% 4.64/4.86 % --bmc1_symbol_reachability true
% 4.64/4.86 % --bmc1_property_lemmas false
% 4.64/4.86 % --bmc1_k_induction false
% 4.64/4.86 % --bmc1_non_equiv_states false
% 4.64/4.86 % --bmc1_deadlock false
% 4.64/4.86 % --bmc1_ucm false
% 4.64/4.86 % --bmc1_add_unsat_core none
% 4.64/4.86 % --bmc1_unsat_core_children false
% 4.64/4.86 % --bmc1_unsat_core_extrapolate_axioms false
% 4.64/4.86 % --bmc1_out_stat full
% 4.64/4.86 % --bmc1_ground_init false
% 4.64/4.86 % --bmc1_pre_inst_next_state false
% 4.64/4.86 % --bmc1_pre_inst_state false
% 4.64/4.86 % --bmc1_pre_inst_reach_state false
% 4.64/4.86 % --bmc1_out_unsat_core false
% 4.64/4.86 % --bmc1_aig_witness_out false
% 4.64/4.86 % --bmc1_verbose false
% 4.64/4.86 % --bmc1_dump_clauses_tptp false
% 4.64/4.86 % --bmc1_dump_unsat_core_tptp false
% 4.64/4.86 % --bmc1_dump_file -
% 4.64/4.86 % --bmc1_ucm_expand_uc_limit 128
% 4.64/4.86 % --bmc1_ucm_n_expand_iterations 6
% 4.64/4.86 % --bmc1_ucm_extend_mode 1
% 4.64/4.86 % --bmc1_ucm_init_mode 2
% 150.23/150.53 % --bmc1_ucm_cone_mode none
% 150.23/150.53 % --bmc1_ucm_reduced_relation_type 0
% 150.23/150.53 % --bmc1_ucm_relax_model 4
% 150.23/150.53 % --bmc1_ucm_full_tr_after_sat true
% 150.23/150.53 % --bmc1_ucm_expand_neg_assumptions false
% 150.23/150.53 % --bmc1_ucm_layered_model none
% 150.23/150.53 % --bmc1_ucm_max_lemma_size 10
% 150.23/150.53
% 150.23/150.53 % ------ AIG Options
% 150.23/150.53
% 150.23/150.53 % --aig_mode false
% 150.23/150.53
% 150.23/150.53 % ------ Instantiation Options
% 150.23/150.53
% 150.23/150.53 % --instantiation_flag true
% 150.23/150.53 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.23/150.53 % --inst_solver_per_active 750
% 150.23/150.53 % --inst_solver_calls_frac 0.5
% 150.23/150.53 % --inst_passive_queue_type priority_queues
% 150.23/150.53 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.23/150.53 % --inst_passive_queues_freq [25;2]
% 150.23/150.53 % --inst_dismatching true
% 150.23/150.53 % --inst_eager_unprocessed_to_passive true
% 150.23/150.53 % --inst_prop_sim_given true
% 150.23/150.53 % --inst_prop_sim_new false
% 150.23/150.53 % --inst_orphan_elimination true
% 150.23/150.53 % --inst_learning_loop_flag true
% 150.23/150.53 % --inst_learning_start 3000
% 150.23/150.53 % --inst_learning_factor 2
% 150.23/150.53 % --inst_start_prop_sim_after_learn 3
% 150.23/150.53 % --inst_sel_renew solver
% 150.23/150.53 % --inst_lit_activity_flag true
% 150.23/150.53 % --inst_out_proof true
% 150.23/150.53
% 150.23/150.53 % ------ Resolution Options
% 150.23/150.53
% 150.23/150.53 % --resolution_flag true
% 150.23/150.53 % --res_lit_sel kbo_max
% 150.23/150.53 % --res_to_prop_solver none
% 150.23/150.53 % --res_prop_simpl_new false
% 150.23/150.53 % --res_prop_simpl_given false
% 150.23/150.53 % --res_passive_queue_type priority_queues
% 150.23/150.53 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.23/150.53 % --res_passive_queues_freq [15;5]
% 150.23/150.53 % --res_forward_subs full
% 150.23/150.53 % --res_backward_subs full
% 150.23/150.53 % --res_forward_subs_resolution true
% 150.23/150.53 % --res_backward_subs_resolution true
% 150.23/150.53 % --res_orphan_elimination false
% 150.23/150.53 % --res_time_limit 1000.
% 150.23/150.53 % --res_out_proof true
% 150.23/150.53 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_a1a8fa.s
% 150.23/150.53 % --modulo true
% 150.23/150.53
% 150.23/150.53 % ------ Combination Options
% 150.23/150.53
% 150.23/150.53 % --comb_res_mult 1000
% 150.23/150.53 % --comb_inst_mult 300
% 150.23/150.53 % ------
% 150.23/150.53
% 150.23/150.53
% 150.23/150.53
% 150.23/150.53 % ------ Proving...
% 150.23/150.53 %
% 150.23/150.53
% 150.23/150.53
% 150.23/150.53 % Time Out Real
% 150.23/150.53
% 150.23/150.53 % ------ Statistics
% 150.23/150.53
% 150.23/150.53 % ------ General
% 150.23/150.53
% 150.23/150.53 % num_of_input_clauses: 1365
% 150.23/150.53 % num_of_input_neg_conjectures: 1
% 150.23/150.53 % num_of_splits: 0
% 150.23/150.53 % num_of_split_atoms: 0
% 150.23/150.53 % num_of_sem_filtered_clauses: 0
% 150.23/150.53 % num_of_subtypes: 0
% 150.23/150.53 % monotx_restored_types: 0
% 150.23/150.53 % sat_num_of_epr_types: 0
% 150.23/150.53 % sat_num_of_non_cyclic_types: 0
% 150.23/150.53 % sat_guarded_non_collapsed_types: 0
% 150.23/150.53 % is_epr: 0
% 150.23/150.53 % is_horn: 0
% 150.23/150.53 % has_eq: 1
% 150.23/150.53 % num_pure_diseq_elim: 0
% 150.23/150.53 % simp_replaced_by: 0
% 150.23/150.53 % res_preprocessed: 2
% 150.23/150.53 % prep_upred: 0
% 150.23/150.53 % prep_unflattend: 0
% 150.23/150.53 % pred_elim_cands: 0
% 150.23/150.53 % pred_elim: 0
% 150.23/150.53 % pred_elim_cl: 0
% 150.23/150.53 % pred_elim_cycles: 0
% 150.23/150.53 % forced_gc_time: 0
% 150.23/150.53 % gc_basic_clause_elim: 0
% 150.23/150.53 % parsing_time: 0.079
% 150.23/150.53 % sem_filter_time: 0.
% 150.23/150.53 % pred_elim_time: 0.
% 150.23/150.53 % out_proof_time: 0.
% 150.23/150.53 % monotx_time: 0.
% 150.23/150.53 % subtype_inf_time: 0.
% 150.23/150.53 % unif_index_cands_time: 0.004
% 150.23/150.53 % unif_index_add_time: 0.134
% 150.23/150.53 % total_time: 150.017
% 150.23/150.53 % num_of_symbols: 148
% 150.23/150.53 % num_of_terms: 474570
% 150.23/150.53
% 150.23/150.53 % ------ Propositional Solver
% 150.23/150.53
% 150.23/150.53 % prop_solver_calls: 2
% 150.23/150.54 % prop_fast_solver_calls: 3
% 150.23/150.54 % prop_num_of_clauses: 1550
% 150.23/150.54 % prop_preprocess_simplified: 6788
% 150.23/150.54 % prop_fo_subsumed: 0
% 150.23/150.54 % prop_solver_time: 0.
% 150.23/150.54 % prop_fast_solver_time: 0.
% 150.23/150.54 % prop_unsat_core_time: 0.
% 150.23/150.54
% 150.23/150.54 % ------ QBF
% 150.23/150.54
% 150.23/150.54 % qbf_q_res: 0
% 150.23/150.54 % qbf_num_tautologies: 0
% 150.23/150.54 % qbf_prep_cycles: 0
% 150.23/150.54
% 150.23/150.54 % ------ BMC1
% 150.23/150.54
% 150.23/150.54 % bmc1_current_bound: -1
% 150.23/150.54 % bmc1_last_solved_bound: -1
% 150.23/150.54 % bmc1_unsat_core_size: -1
% 150.23/150.54 % bmc1_unsat_core_parents_size: -1
% 150.23/150.54 % bmc1_merge_next_fun: 0
% 150.23/150.54 % bmc1_unsat_core_clauses_time: 0.
% 150.23/150.54
% 150.23/150.54 % ------ Instantiation
% 150.23/150.54
% 150.23/150.54 % inst_num_of_clauses: 1423
% 150.23/150.54 % inst_num_in_passive: 931
% 150.23/150.54 % inst_num_in_active: 299
% 150.23/150.54 % inst_num_in_unprocessed: 193
% 150.23/150.54 % inst_num_of_loops: 300
% 150.23/150.54 % inst_num_of_learning_restarts: 0
% 150.23/150.54 % inst_num_moves_active_passive: 0
% 150.23/150.54 % inst_lit_activity: 26
% 150.23/150.54 % inst_lit_activity_moves: 0
% 150.23/150.54 % inst_num_tautologies: 0
% 150.23/150.54 % inst_num_prop_implied: 0
% 150.23/150.54 % inst_num_existing_simplified: 0
% 150.23/150.54 % inst_num_eq_res_simplified: 0
% 150.23/150.54 % inst_num_child_elim: 0
% 150.23/150.54 % inst_num_of_dismatching_blockings: 88
% 150.23/150.54 % inst_num_of_non_proper_insts: 198
% 150.23/150.54 % inst_num_of_duplicates: 293
% 150.23/150.54 % inst_inst_num_from_inst_to_res: 0
% 150.23/150.54 % inst_dismatching_checking_time: 0.
% 150.23/150.54
% 150.23/150.54 % ------ Resolution
% 150.23/150.54
% 150.23/150.54 % res_num_of_clauses: 2729
% 150.23/150.54 % res_num_in_passive: 4
% 150.23/150.54 % res_num_in_active: 1884
% 150.23/150.54 % res_num_of_loops: 1703
% 150.23/150.54 % res_forward_subset_subsumed: 4471
% 150.23/150.54 % res_backward_subset_subsumed: 1
% 150.23/150.54 % res_forward_subsumed: 341
% 150.23/150.54 % res_backward_subsumed: 0
% 150.23/150.54 % res_forward_subsumption_resolution: 0
% 150.23/150.54 % res_backward_subsumption_resolution: 0
% 150.23/150.54 % res_clause_to_clause_subsumption: 1358
% 150.23/150.54 % res_orphan_elimination: 0
% 150.23/150.54 % res_tautology_del: 0
% 150.23/150.54 % res_num_eq_res_simplified: 0
% 150.23/150.54 % res_num_sel_changes: 0
% 150.23/150.54 % res_moves_from_active_to_pass: 0
% 150.23/150.54
% 150.23/150.54 % Status Unknown
% 150.35/150.68 % Orienting using strategy ClausalAll
% 150.35/150.68 % Orientation found
% 150.35/150.68 % 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_a1a8fa.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_e024b7.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_fbff45 | grep -v "SZS"
% 150.35/150.69
% 150.35/150.69 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.35/150.69
% 150.35/150.69 %
% 150.35/150.69 % ------ iProver source info
% 150.35/150.69
% 150.35/150.69 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.35/150.69 % git: non_committed_changes: true
% 150.35/150.69 % git: last_make_outside_of_git: true
% 150.35/150.69
% 150.35/150.69 %
% 150.35/150.69 % ------ Input Options
% 150.35/150.69
% 150.35/150.69 % --out_options all
% 150.35/150.69 % --tptp_safe_out true
% 150.35/150.69 % --problem_path ""
% 150.35/150.69 % --include_path ""
% 150.35/150.69 % --clausifier .//eprover
% 150.35/150.69 % --clausifier_options --tstp-format
% 150.35/150.69 % --stdin false
% 150.35/150.69 % --dbg_backtrace false
% 150.35/150.69 % --dbg_dump_prop_clauses false
% 150.35/150.69 % --dbg_dump_prop_clauses_file -
% 150.35/150.69 % --dbg_out_stat false
% 150.35/150.69
% 150.35/150.69 % ------ General Options
% 150.35/150.69
% 150.35/150.69 % --fof false
% 150.35/150.69 % --time_out_real 150.
% 150.35/150.69 % --time_out_prep_mult 0.2
% 150.35/150.69 % --time_out_virtual -1.
% 150.35/150.69 % --schedule none
% 150.35/150.69 % --ground_splitting input
% 150.35/150.69 % --splitting_nvd 16
% 150.35/150.69 % --non_eq_to_eq false
% 150.35/150.69 % --prep_gs_sim true
% 150.35/150.69 % --prep_unflatten false
% 150.35/150.69 % --prep_res_sim true
% 150.35/150.69 % --prep_upred true
% 150.35/150.69 % --res_sim_input true
% 150.35/150.69 % --clause_weak_htbl true
% 150.35/150.69 % --gc_record_bc_elim false
% 150.35/150.69 % --symbol_type_check false
% 150.35/150.69 % --clausify_out false
% 150.35/150.69 % --large_theory_mode false
% 150.35/150.69 % --prep_sem_filter none
% 150.35/150.69 % --prep_sem_filter_out false
% 150.35/150.69 % --preprocessed_out false
% 150.35/150.69 % --sub_typing false
% 150.35/150.69 % --brand_transform false
% 150.35/150.69 % --pure_diseq_elim true
% 150.35/150.69 % --min_unsat_core false
% 150.35/150.69 % --pred_elim true
% 150.35/150.69 % --add_important_lit false
% 150.35/150.69 % --soft_assumptions false
% 150.35/150.69 % --reset_solvers false
% 150.35/150.69 % --bc_imp_inh []
% 150.35/150.69 % --conj_cone_tolerance 1.5
% 150.35/150.69 % --prolific_symb_bound 500
% 150.35/150.69 % --lt_threshold 2000
% 150.35/150.69
% 150.35/150.69 % ------ SAT Options
% 150.35/150.69
% 150.35/150.69 % --sat_mode false
% 150.35/150.69 % --sat_fm_restart_options ""
% 150.35/150.69 % --sat_gr_def false
% 150.35/150.69 % --sat_epr_types true
% 150.35/150.69 % --sat_non_cyclic_types false
% 150.35/150.69 % --sat_finite_models false
% 150.35/150.69 % --sat_fm_lemmas false
% 150.35/150.69 % --sat_fm_prep false
% 150.35/150.69 % --sat_fm_uc_incr true
% 150.35/150.69 % --sat_out_model small
% 150.35/150.69 % --sat_out_clauses false
% 150.35/150.69
% 150.35/150.69 % ------ QBF Options
% 150.35/150.69
% 150.35/150.69 % --qbf_mode false
% 150.35/150.69 % --qbf_elim_univ true
% 150.35/150.69 % --qbf_sk_in true
% 150.35/150.69 % --qbf_pred_elim true
% 150.35/150.69 % --qbf_split 32
% 150.35/150.69
% 150.35/150.69 % ------ BMC1 Options
% 150.35/150.69
% 150.35/150.69 % --bmc1_incremental false
% 150.35/150.69 % --bmc1_axioms reachable_all
% 150.35/150.69 % --bmc1_min_bound 0
% 150.35/150.69 % --bmc1_max_bound -1
% 150.35/150.69 % --bmc1_max_bound_default -1
% 150.35/150.69 % --bmc1_symbol_reachability true
% 150.35/150.69 % --bmc1_property_lemmas false
% 150.35/150.69 % --bmc1_k_induction false
% 150.35/150.69 % --bmc1_non_equiv_states false
% 150.35/150.69 % --bmc1_deadlock false
% 150.35/150.69 % --bmc1_ucm false
% 150.35/150.69 % --bmc1_add_unsat_core none
% 150.35/150.69 % --bmc1_unsat_core_children false
% 150.35/150.69 % --bmc1_unsat_core_extrapolate_axioms false
% 150.35/150.69 % --bmc1_out_stat full
% 150.35/150.69 % --bmc1_ground_init false
% 150.35/150.69 % --bmc1_pre_inst_next_state false
% 150.35/150.69 % --bmc1_pre_inst_state false
% 150.35/150.69 % --bmc1_pre_inst_reach_state false
% 150.35/150.69 % --bmc1_out_unsat_core false
% 150.35/150.69 % --bmc1_aig_witness_out false
% 150.35/150.69 % --bmc1_verbose false
% 150.35/150.69 % --bmc1_dump_clauses_tptp false
% 152.97/153.29 % --bmc1_dump_unsat_core_tptp false
% 152.97/153.29 % --bmc1_dump_file -
% 152.97/153.29 % --bmc1_ucm_expand_uc_limit 128
% 152.97/153.29 % --bmc1_ucm_n_expand_iterations 6
% 152.97/153.29 % --bmc1_ucm_extend_mode 1
% 152.97/153.29 % --bmc1_ucm_init_mode 2
% 152.97/153.29 % --bmc1_ucm_cone_mode none
% 152.97/153.29 % --bmc1_ucm_reduced_relation_type 0
% 152.97/153.29 % --bmc1_ucm_relax_model 4
% 152.97/153.29 % --bmc1_ucm_full_tr_after_sat true
% 152.97/153.29 % --bmc1_ucm_expand_neg_assumptions false
% 152.97/153.29 % --bmc1_ucm_layered_model none
% 152.97/153.29 % --bmc1_ucm_max_lemma_size 10
% 152.97/153.29
% 152.97/153.29 % ------ AIG Options
% 152.97/153.29
% 152.97/153.29 % --aig_mode false
% 152.97/153.29
% 152.97/153.29 % ------ Instantiation Options
% 152.97/153.29
% 152.97/153.29 % --instantiation_flag true
% 152.97/153.29 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 152.97/153.29 % --inst_solver_per_active 750
% 152.97/153.29 % --inst_solver_calls_frac 0.5
% 152.97/153.29 % --inst_passive_queue_type priority_queues
% 152.97/153.29 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 152.97/153.29 % --inst_passive_queues_freq [25;2]
% 152.97/153.29 % --inst_dismatching true
% 152.97/153.29 % --inst_eager_unprocessed_to_passive true
% 152.97/153.29 % --inst_prop_sim_given true
% 152.97/153.29 % --inst_prop_sim_new false
% 152.97/153.29 % --inst_orphan_elimination true
% 152.97/153.29 % --inst_learning_loop_flag true
% 152.97/153.29 % --inst_learning_start 3000
% 152.97/153.29 % --inst_learning_factor 2
% 152.97/153.29 % --inst_start_prop_sim_after_learn 3
% 152.97/153.29 % --inst_sel_renew solver
% 152.97/153.29 % --inst_lit_activity_flag true
% 152.97/153.29 % --inst_out_proof true
% 152.97/153.29
% 152.97/153.29 % ------ Resolution Options
% 152.97/153.29
% 152.97/153.29 % --resolution_flag true
% 152.97/153.29 % --res_lit_sel kbo_max
% 152.97/153.29 % --res_to_prop_solver none
% 152.97/153.29 % --res_prop_simpl_new false
% 152.97/153.29 % --res_prop_simpl_given false
% 152.97/153.29 % --res_passive_queue_type priority_queues
% 152.97/153.29 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 152.97/153.29 % --res_passive_queues_freq [15;5]
% 152.97/153.29 % --res_forward_subs full
% 152.97/153.29 % --res_backward_subs full
% 152.97/153.29 % --res_forward_subs_resolution true
% 152.97/153.29 % --res_backward_subs_resolution true
% 152.97/153.29 % --res_orphan_elimination false
% 152.97/153.29 % --res_time_limit 1000.
% 152.97/153.29 % --res_out_proof true
% 152.97/153.29 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_a1a8fa.s
% 152.97/153.29 % --modulo true
% 152.97/153.29
% 152.97/153.29 % ------ Combination Options
% 152.97/153.29
% 152.97/153.29 % --comb_res_mult 1000
% 152.97/153.29 % --comb_inst_mult 300
% 152.97/153.29 % ------
% 152.97/153.29
% 152.97/153.29 % ------ Parsing...% successful
% 152.97/153.29
% 152.97/153.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 152.97/153.29
% 152.97/153.29 % ------ Proving...
% 152.97/153.29 % ------ Problem Properties
% 152.97/153.29
% 152.97/153.29 %
% 152.97/153.29 % EPR false
% 152.97/153.29 % Horn false
% 152.97/153.29 % Has equality true
% 152.97/153.29
% 152.97/153.29 % % ------ Input Options Time Limit: Unbounded
% 152.97/153.29
% 152.97/153.29
% 152.97/153.29 Compiling...
% 152.97/153.29 Loading plugin: done.
% 152.97/153.29 Compiling...
% 152.97/153.29 Loading plugin: done.
% 152.97/153.29 Compiling...
% 152.97/153.29 Loading plugin: done.
% 152.97/153.29 Compiling...
% 152.97/153.29 Loading plugin: done.
% 152.97/153.29 Compiling...
% 152.97/153.29 Loading plugin: done.
% 152.97/153.29 Compiling...
% 152.97/153.29 Loading plugin: done.
% 152.97/153.29 Compiling...
% 152.97/153.29 Loading plugin: done.
% 152.97/153.29 Compiling...
% 152.97/153.29 Loading plugin: done.
% 152.97/153.29 Compiling...
% 152.97/153.29 Loading plugin: done.
% 152.97/153.29 Compiling...
% 152.97/153.29 Loading plugin: done.
% 152.97/153.29 Compiling...
% 152.97/153.29 Loading plugin: done.
% 152.97/153.29 Compiling...
% 152.97/153.29 Loading plugin: done.
% 152.97/153.29 Compiling...
% 152.97/153.29 Loading plugin: done.
% 152.97/153.29 Compiling...
% 152.97/153.29 Loading plugin: done.
% 152.97/153.29 % % ------ Current options:
% 152.97/153.29
% 152.97/153.29 % ------ Input Options
% 152.97/153.29
% 152.97/153.29 % --out_options all
% 152.97/153.29 % --tptp_safe_out true
% 152.97/153.29 % --problem_path ""
% 152.97/153.29 % --include_path ""
% 152.97/153.29 % --clausifier .//eprover
% 152.97/153.29 % --clausifier_options --tstp-format
% 152.97/153.29 % --stdin false
% 152.97/153.29 % --dbg_backtrace false
% 152.97/153.29 % --dbg_dump_prop_clauses false
% 152.97/153.29 % --dbg_dump_prop_clauses_file -
% 152.97/153.29 % --dbg_out_stat false
% 152.97/153.29
% 152.97/153.29 % ------ General Options
% 152.97/153.29
% 152.97/153.29 % --fof false
% 152.97/153.29 % --time_out_real 150.
% 152.97/153.29 % --time_out_prep_mult 0.2
% 152.97/153.29 % --time_out_virtual -1.
% 152.97/153.29 % --schedule none
% 152.97/153.29 % --ground_splitting input
% 152.97/153.29 % --splitting_nvd 16
% 152.97/153.29 % --non_eq_to_eq false
% 152.97/153.29 % --prep_gs_sim true
% 152.97/153.29 % --prep_unflatten false
% 152.97/153.29 % --prep_res_sim true
% 152.97/153.29 % --prep_upred true
% 152.97/153.29 % --res_sim_input true
% 152.97/153.29 % --clause_weak_htbl true
% 152.97/153.29 % --gc_record_bc_elim false
% 152.97/153.29 % --symbol_type_check false
% 152.97/153.29 % --clausify_out false
% 152.97/153.29 % --large_theory_mode false
% 152.97/153.29 % --prep_sem_filter none
% 152.97/153.29 % --prep_sem_filter_out false
% 152.97/153.29 % --preprocessed_out false
% 152.97/153.29 % --sub_typing false
% 152.97/153.29 % --brand_transform false
% 152.97/153.29 % --pure_diseq_elim true
% 152.97/153.29 % --min_unsat_core false
% 152.97/153.29 % --pred_elim true
% 152.97/153.29 % --add_important_lit false
% 152.97/153.29 % --soft_assumptions false
% 152.97/153.29 % --reset_solvers false
% 152.97/153.29 % --bc_imp_inh []
% 152.97/153.29 % --conj_cone_tolerance 1.5
% 152.97/153.29 % --prolific_symb_bound 500
% 152.97/153.29 % --lt_threshold 2000
% 152.97/153.29
% 152.97/153.29 % ------ SAT Options
% 152.97/153.29
% 152.97/153.29 % --sat_mode false
% 152.97/153.29 % --sat_fm_restart_options ""
% 152.97/153.29 % --sat_gr_def false
% 152.97/153.29 % --sat_epr_types true
% 152.97/153.29 % --sat_non_cyclic_types false
% 152.97/153.29 % --sat_finite_models false
% 152.97/153.29 % --sat_fm_lemmas false
% 152.97/153.29 % --sat_fm_prep false
% 152.97/153.29 % --sat_fm_uc_incr true
% 152.97/153.29 % --sat_out_model small
% 152.97/153.29 % --sat_out_clauses false
% 152.97/153.29
% 152.97/153.29 % ------ QBF Options
% 152.97/153.29
% 152.97/153.29 % --qbf_mode false
% 152.97/153.29 % --qbf_elim_univ true
% 152.97/153.29 % --qbf_sk_in true
% 152.97/153.29 % --qbf_pred_elim true
% 152.97/153.29 % --qbf_split 32
% 152.97/153.29
% 152.97/153.29 % ------ BMC1 Options
% 152.97/153.29
% 152.97/153.29 % --bmc1_incremental false
% 152.97/153.29 % --bmc1_axioms reachable_all
% 152.97/153.29 % --bmc1_min_bound 0
% 152.97/153.29 % --bmc1_max_bound -1
% 152.97/153.29 % --bmc1_max_bound_default -1
% 152.97/153.29 % --bmc1_symbol_reachability true
% 152.97/153.29 % --bmc1_property_lemmas false
% 152.97/153.29 % --bmc1_k_induction false
% 152.97/153.29 % --bmc1_non_equiv_states false
% 152.97/153.29 % --bmc1_deadlock false
% 152.97/153.29 % --bmc1_ucm false
% 152.97/153.29 % --bmc1_add_unsat_core none
% 152.97/153.29 % --bmc1_unsat_core_children false
% 152.97/153.29 % --bmc1_unsat_core_extrapolate_axioms false
% 152.97/153.29 % --bmc1_out_stat full
% 152.97/153.29 % --bmc1_ground_init false
% 152.97/153.29 % --bmc1_pre_inst_next_state false
% 152.97/153.29 % --bmc1_pre_inst_state false
% 152.97/153.29 % --bmc1_pre_inst_reach_state false
% 152.97/153.29 % --bmc1_out_unsat_core false
% 152.97/153.29 % --bmc1_aig_witness_out false
% 152.97/153.29 % --bmc1_verbose false
% 152.97/153.29 % --bmc1_dump_clauses_tptp false
% 152.97/153.29 % --bmc1_dump_unsat_core_tptp false
% 152.97/153.29 % --bmc1_dump_file -
% 152.97/153.29 % --bmc1_ucm_expand_uc_limit 128
% 152.97/153.29 % --bmc1_ucm_n_expand_iterations 6
% 152.97/153.29 % --bmc1_ucm_extend_mode 1
% 152.97/153.29 % --bmc1_ucm_init_mode 2
% 152.97/153.29 % --bmc1_ucm_cone_mode none
% 152.97/153.29 % --bmc1_ucm_reduced_relation_type 0
% 152.97/153.29 % --bmc1_ucm_relax_model 4
% 152.97/153.29 % --bmc1_ucm_full_tr_after_sat true
% 152.97/153.29 % --bmc1_ucm_expand_neg_assumptions false
% 152.97/153.29 % --bmc1_ucm_layered_model none
% 152.97/153.29 % --bmc1_ucm_max_lemma_size 10
% 152.97/153.29
% 152.97/153.29 % ------ AIG Options
% 152.97/153.29
% 152.97/153.29 % --aig_mode false
% 152.97/153.29
% 152.97/153.29 % ------ Instantiation Options
% 152.97/153.29
% 152.97/153.29 % --instantiation_flag true
% 152.97/153.29 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 152.97/153.29 % --inst_solver_per_active 750
% 152.97/153.29 % --inst_solver_calls_frac 0.5
% 152.97/153.29 % --inst_passive_queue_type priority_queues
% 152.97/153.29 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 152.97/153.29 % --inst_passive_queues_freq [25;2]
% 152.97/153.29 % --inst_dismatching true
% 152.97/153.29 % --inst_eager_unprocessed_to_passive true
% 152.97/153.29 % --inst_prop_sim_given true
% 152.97/153.29 % --inst_prop_sim_new false
% 152.97/153.29 % --inst_orphan_elimination true
% 152.97/153.29 % --inst_learning_loop_flag true
% 152.97/153.29 % --inst_learning_start 3000
% 152.97/153.29 % --inst_learning_factor 2
% 152.97/153.29 % --inst_start_prop_sim_after_learn 3
% 152.97/153.29 % --inst_sel_renew solver
% 152.97/153.29 % --inst_lit_activity_flag true
% 152.97/153.29 % --inst_out_proof true
% 152.97/153.29
% 152.97/153.29 % ------ Resolution Options
% 152.97/153.29
% 152.97/153.29 % --resolution_flag true
% 152.97/153.29 % --res_lit_sel kbo_max
% 152.97/153.29 % --res_to_prop_solver none
% 152.97/153.29 % --res_prop_simpl_new false
% 152.97/153.29 % --res_prop_simpl_given false
% 152.97/153.29 % --res_passive_queue_type priority_queues
% 152.97/153.29 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 152.97/153.29 % --res_passive_queues_freq [15;5]
% 152.97/153.29 % --res_forward_subs full
% 152.97/153.29 % --res_backward_subs full
% 152.97/153.29 % --res_forward_subs_resolution true
% 152.97/153.29 % --res_backward_subs_resolution true
% 152.97/153.29 % --res_orphan_elimination false
% 152.97/153.29 % --res_time_limit 1000.
% 152.97/153.29 % --res_out_proof true
% 152.97/153.29 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_a1a8fa.s
% 152.97/153.29 % --modulo true
% 152.97/153.29
% 152.97/153.29 % ------ Combination Options
% 152.97/153.29
% 152.97/153.29 % --comb_res_mult 1000
% 152.97/153.29 % --comb_inst_mult 300
% 152.97/153.29 % ------
% 152.97/153.29
% 152.97/153.29
% 152.97/153.29
% 152.97/153.29 % ------ Proving...
% 152.97/153.29 % warning: shown sat in sat incomplete mode
% 152.97/153.29 %
% 152.97/153.29
% 152.97/153.29
% 152.97/153.29
% 152.97/153.29
% 152.97/153.29 cnf(c_1364,negated_conjecture,
% 152.97/153.29 ( ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)),hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____))),c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_4) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1777,negated_conjecture,
% 152.97/153.29 ( ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)),hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____))),c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1364]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1781,negated_conjecture,
% 152.97/153.29 ( ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)),hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____))),c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1777]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1782,negated_conjecture,
% 152.97/153.29 ( ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)),hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____))),c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1781]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1783,negated_conjecture,
% 152.97/153.29 ( ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)),hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____))),c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1782]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5763,negated_conjecture,
% 152.97/153.29 ( ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)),hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_i____))),c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1783]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5764,plain,
% 152.97/153.29 ( ~ hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_n____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)),hAPP(hAPP(c_Lambda_OdB_OApp,v_u____),hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),v_u____),v_n____))),c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5763]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1359,plain,
% 152.97/153.29 ( c_Type_Otypings(X0,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X1,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X2,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 152.97/153.29 | ~ c_Type_Otyping(X0,X1,X5)
% 152.97/153.29 | ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2562_2) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5753,plain,
% 152.97/153.29 ( c_Type_Otypings(X0,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X1,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X2,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 152.97/153.29 | ~ c_Type_Otyping(X0,X1,X5)
% 152.97/153.29 | ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1359]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5754,plain,
% 152.97/153.29 ( ~ c_Type_Otyping(X0,X1,X2)
% 152.97/153.29 | ~ c_Type_Otypings(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
% 152.97/153.29 | c_Type_Otypings(X0,c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,X1,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),X3,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5) ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5753]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1355,plain,
% 152.97/153.29 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__types__1__1(X2,X3,X0,X1))
% 152.97/153.29 | ~ 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)
% 152.97/153.29 | ~ c_Type_Otypings(X0,X5,X6)
% 152.97/153.29 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2563_3) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5745,plain,
% 152.97/153.29 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__types__1__1(X2,X3,X0,X1))
% 152.97/153.29 | ~ 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)
% 152.97/153.29 | ~ c_Type_Otypings(X0,X5,X6)
% 152.97/153.29 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1355]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5746,plain,
% 152.97/153.29 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.97/153.29 | ~ 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)
% 152.97/153.29 | c_Type_Otypings(X0,X4,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X3,X0,X4))
% 152.97/153.29 | ~ c_Type_Otypings(X0,X2,X6) ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5745]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1350,plain,
% 152.97/153.29 ( hBOOL(hAPP(X0,X1))
% 152.97/153.29 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(X0)),c_ListApplication_Osko__ListApplication__Xlem__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__Xlem__1__3(X0)),c_ListApplication_Osko__ListApplication__Xlem__1__4(X0),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2565_2) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5735,plain,
% 152.97/153.29 ( hBOOL(hAPP(X0,X1))
% 152.97/153.29 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(X0)),c_ListApplication_Osko__ListApplication__Xlem__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__Xlem__1__3(X0)),c_ListApplication_Osko__ListApplication__Xlem__1__4(X0),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1350]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5736,plain,
% 152.97/153.29 ( ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(X0)),c_ListApplication_Osko__ListApplication__Xlem__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__Xlem__1__3(X0)),c_ListApplication_Osko__ListApplication__Xlem__1__4(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | hBOOL(hAPP(X0,X1)) ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5735]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1347,plain,
% 152.97/153.29 ( hBOOL(hAPP(X0,X1))
% 152.97/153.29 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(X0)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(X0)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4(X0),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2566_2) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5729,plain,
% 152.97/153.29 ( hBOOL(hAPP(X0,X1))
% 152.97/153.29 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(X0)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(X0)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4(X0),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1347]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5730,plain,
% 152.97/153.29 ( ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(X0)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(X0)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | hBOOL(hAPP(X0,X1)) ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5729]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1338,plain,
% 152.97/153.29 ( hBOOL(hAPP(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)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2570_2) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5711,plain,
% 152.97/153.29 ( hBOOL(hAPP(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)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1338]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5712,plain,
% 152.97/153.29 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | hBOOL(hAPP(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)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5711]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1319,plain,
% 152.97/153.29 ( X0 = X1
% 152.97/153.29 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 152.97/153.29 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2580_2) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5673,plain,
% 152.97/153.29 ( X0 = X1
% 152.97/153.29 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 152.97/153.29 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1319]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5674,plain,
% 152.97/153.29 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.97/153.29 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 152.97/153.29 | X3 = X4 ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5673]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1307,plain,
% 152.97/153.29 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2586_3) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5649,plain,
% 152.97/153.29 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1307]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5650,plain,
% 152.97/153.29 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.97/153.29 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0 ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5649]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1303,plain,
% 152.97/153.29 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2587_3) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5641,plain,
% 152.97/153.29 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1303]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5642,plain,
% 152.97/153.29 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.97/153.29 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.97/153.29 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0 ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5641]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1297,plain,
% 152.97/153.29 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2591_3) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5629,plain,
% 152.97/153.29 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1297]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5630,plain,
% 152.97/153.29 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.97/153.29 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB) ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5629]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1293,plain,
% 152.97/153.29 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.97/153.29 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2592_3) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5621,plain,
% 152.97/153.29 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.97/153.29 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1293]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5622,plain,
% 152.97/153.29 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.97/153.29 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.97/153.29 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0 ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5621]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1246,plain,
% 152.97/153.29 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.97/153.29 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2618_3) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5527,plain,
% 152.97/153.29 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.97/153.29 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1246]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5528,plain,
% 152.97/153.29 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.97/153.29 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0 ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5527]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1242,plain,
% 152.97/153.29 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.97/153.29 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2619_3) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5519,plain,
% 152.97/153.29 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.97/153.29 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1242]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5520,plain,
% 152.97/153.29 ( ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.97/153.29 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.97/153.29 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0 ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5519]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1220,plain,
% 152.97/153.29 ( c_ListOrder_Ostep1(X0,X1,X2,X3)
% 152.97/153.29 | hBOOL(hAPP(hAPP(X0,X4),X5))
% 152.97/153.29 | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2636_2) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5475,plain,
% 152.97/153.29 ( c_ListOrder_Ostep1(X0,X1,X2,X3)
% 152.97/153.29 | hBOOL(hAPP(hAPP(X0,X4),X5))
% 152.97/153.29 | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1220]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5476,plain,
% 152.97/153.29 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.97/153.29 | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4),X4)
% 152.97/153.29 | c_ListOrder_Ostep1(X0,X3,X5,X4) ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5475]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1214,plain,
% 152.97/153.29 ( X0 = X1
% 152.97/153.29 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 152.97/153.29 | ~ c_ListOrder_Ostep1(X2,c_List_Oappend(X3,c_List_Olist_OCons(X0,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4),X4) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2638_2) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5463,plain,
% 152.97/153.29 ( X0 = X1
% 152.97/153.29 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 152.97/153.29 | ~ c_ListOrder_Ostep1(X2,c_List_Oappend(X3,c_List_Olist_OCons(X0,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4),X4) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1214]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5464,plain,
% 152.97/153.29 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.97/153.29 | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4),X4)
% 152.97/153.29 | X1 = X2 ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5463]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1210,plain,
% 152.97/153.29 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.97/153.29 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2640_3) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5455,plain,
% 152.97/153.29 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.97/153.29 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1210]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5456,plain,
% 152.97/153.29 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.97/153.29 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.97/153.29 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0 ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5455]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1193,plain,
% 152.97/153.29 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2648_3) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5421,plain,
% 152.97/153.29 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1193]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5422,plain,
% 152.97/153.29 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.97/153.29 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0 ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5421]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1189,plain,
% 152.97/153.29 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2649_3) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5413,plain,
% 152.97/153.29 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.29 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.97/153.29 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1189]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5414,plain,
% 152.97/153.29 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.97/153.29 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.97/153.29 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.97/153.29 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0 ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5413]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1180,plain,
% 152.97/153.29 ( c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4)
% 152.97/153.29 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 152.97/153.29 | ~ c_Type_Otyping(X0,X2,X5) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2663_2) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5395,plain,
% 152.97/153.29 ( c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4)
% 152.97/153.29 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 152.97/153.29 | ~ c_Type_Otyping(X0,X2,X5) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1180]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5396,plain,
% 152.97/153.29 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 152.97/153.29 | c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X5),X1),X4)
% 152.97/153.29 | ~ c_Type_Otyping(X0,X5,X2) ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5395]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1178,plain,
% 152.97/153.29 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X1))
% 152.97/153.29 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)))
% 152.97/153.29 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X2),X3)) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2664_1) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5391,plain,
% 152.97/153.29 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X1))
% 152.97/153.29 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0)),hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1)))
% 152.97/153.29 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X2),X3)) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1178]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5392,plain,
% 152.97/153.29 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)))
% 152.97/153.29 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3))
% 152.97/153.29 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5391]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1174,plain,
% 152.97/153.29 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.97/153.29 | c_ListOrder_Ostep1(X0,X3,X4,X5)
% 152.97/153.29 | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X5),c_List_Olist_OCons(X2,X4,X5),X5) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2665_2) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5383,plain,
% 152.97/153.29 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.97/153.29 | c_ListOrder_Ostep1(X0,X3,X4,X5)
% 152.97/153.29 | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X5),c_List_Olist_OCons(X2,X4,X5),X5) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1174]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5384,plain,
% 152.97/153.29 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.97/153.29 | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4)
% 152.97/153.29 | c_ListOrder_Ostep1(X0,X3,X5,X4) ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5383]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1150,plain,
% 152.97/153.29 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.97/153.29 | X2 = X1
% 152.97/153.29 | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2684_2) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5335,plain,
% 152.97/153.29 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.97/153.29 | X2 = X1
% 152.97/153.29 | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1150]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5336,plain,
% 152.97/153.29 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.97/153.29 | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4)
% 152.97/153.29 | X2 = X1 ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5335]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1125,plain,
% 152.97/153.29 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.97/153.29 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X3),X4),X1))
% 152.97/153.29 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X3),X4),X2)) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2696_0) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5285,plain,
% 152.97/153.29 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.97/153.29 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X3),X4),X1))
% 152.97/153.29 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X3),X4),X2)) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1125]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5286,plain,
% 152.97/153.29 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.97/153.29 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 152.97/153.29 | ~ hBOOL(hAPP(hAPP(X0,X3),X4)) ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5285]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1120,plain,
% 152.97/153.29 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.97/153.29 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 152.97/153.29 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2697_2) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5275,plain,
% 152.97/153.29 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.97/153.29 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 152.97/153.29 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1120]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5276,plain,
% 152.97/153.29 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.97/153.29 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 152.97/153.29 | ~ hBOOL(hAPP(hAPP(X0,X2),X4)) ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5275]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1108,plain,
% 152.97/153.29 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.97/153.29 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 152.97/153.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.97/153.29 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2703_3) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5251,plain,
% 152.97/153.29 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.97/153.29 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 152.97/153.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.97/153.29 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1108]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5252,plain,
% 152.97/153.29 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.97/153.29 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 152.97/153.29 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.97/153.29 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5251]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1100,plain,
% 152.97/153.29 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 152.97/153.29 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.97/153.29 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.29 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2705_3) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5235,plain,
% 152.97/153.29 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 152.97/153.29 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.97/153.29 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.29 inference(copy,[status(esa)],[c_1100]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_5236,plain,
% 152.97/153.29 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.97/153.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.97/153.29 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 152.97/153.29 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.97/153.29 inference(rewriting,[status(thm)],[c_5235]) ).
% 152.97/153.29
% 152.97/153.29 cnf(c_1095,plain,
% 152.97/153.29 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.97/153.29 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 152.97/153.29 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.97/153.29 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 152.97/153.30 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2706_4) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5225,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 152.97/153.30 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_1095]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5226,plain,
% 152.97/153.30 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_5225]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_1079,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.97/153.30 | ~ c_lessequals(X1,X2,X0)
% 152.97/153.30 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 152.97/153.30 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2714_0) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5193,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.97/153.30 | ~ c_lessequals(X1,X2,X0)
% 152.97/153.30 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 152.97/153.30 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_1079]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5194,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.97/153.30 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 152.97/153.30 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4),X0)
% 152.97/153.30 | ~ c_lessequals(X3,X4,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_5193]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_1059,plain,
% 152.97/153.30 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.97/153.30 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 152.97/153.30 | X1 = X3
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2722_1) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5153,plain,
% 152.97/153.30 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.97/153.30 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 152.97/153.30 | X1 = X3
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_1059]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5154,plain,
% 152.97/153.30 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 152.97/153.30 | c_Power_Opower__class_Opower(X3,X1,X0) != c_Power_Opower__class_Opower(X2,X1,X0)
% 152.97/153.30 | X3 = X2 ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_5153]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_1055,plain,
% 152.97/153.30 ( X0 = X1
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 152.97/153.30 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 152.97/153.30 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2722_5) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5145,plain,
% 152.97/153.30 ( X0 = X1
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 152.97/153.30 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 152.97/153.30 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_1055]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5146,plain,
% 152.97/153.30 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 152.97/153.30 | c_Power_Opower__class_Opower(X2,X1,X0) != c_Power_Opower__class_Opower(X3,X1,X0)
% 152.97/153.30 | X2 = X3 ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_5145]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_1037,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.97/153.30 | 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)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2728_1) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5109,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.97/153.30 | 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)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_1037]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5110,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.97/153.30 | 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)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_5109]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_1033,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 152.97/153.30 | ~ c_lessequals(X1,X2,X0)
% 152.97/153.30 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 152.97/153.30 | ~ c_lessequals(X3,X4,X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2729_1) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5101,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 152.97/153.30 | ~ c_lessequals(X1,X2,X0)
% 152.97/153.30 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 152.97/153.30 | ~ c_lessequals(X3,X4,X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_1033]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5102,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 152.97/153.30 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.97/153.30 | ~ c_lessequals(X2,X4,X0)
% 152.97/153.30 | ~ c_lessequals(X1,X3,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_5101]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_1027,plain,
% 152.97/153.30 ( 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)
% 152.97/153.30 | ~ c_lessequals(X1,X3,X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.97/153.30 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2730_3) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5089,plain,
% 152.97/153.30 ( 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)
% 152.97/153.30 | ~ c_lessequals(X1,X3,X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.97/153.30 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_1027]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5090,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.97/153.30 | 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)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.97/153.30 | ~ c_lessequals(X1,X3,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_5089]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_1021,plain,
% 152.97/153.30 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.30 | 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)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2733_1) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5077,plain,
% 152.97/153.30 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.30 | 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)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_1021]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5078,plain,
% 152.97/153.30 ( 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)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_5077]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_1003,plain,
% 152.97/153.30 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.30 | 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)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2742_1) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5041,plain,
% 152.97/153.30 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.30 | 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)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_1003]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5042,plain,
% 152.97/153.30 ( 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)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_5041]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_994,plain,
% 152.97/153.30 ( ~ c_Type_Otyping(X0,X1,X2)
% 152.97/153.30 | c_Type_Otyping(X0,X3,X2)
% 152.97/153.30 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2748_1) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5023,plain,
% 152.97/153.30 ( ~ c_Type_Otyping(X0,X1,X2)
% 152.97/153.30 | c_Type_Otyping(X0,X3,X2)
% 152.97/153.30 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_994]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5024,plain,
% 152.97/153.30 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X1))
% 152.97/153.30 | ~ c_Type_Otyping(X2,X0,X3)
% 152.97/153.30 | c_Type_Otyping(X2,X1,X3) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_5023]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_993,plain,
% 152.97/153.30 ( c_Type_Otyping(X0,X1,X2)
% 152.97/153.30 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X3),X1))
% 152.97/153.30 | ~ c_Type_Otyping(X0,X3,X2) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2748_2) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5021,plain,
% 152.97/153.30 ( c_Type_Otyping(X0,X1,X2)
% 152.97/153.30 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X3),X1))
% 152.97/153.30 | ~ c_Type_Otyping(X0,X3,X2) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_993]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5022,plain,
% 152.97/153.30 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X1))
% 152.97/153.30 | c_Type_Otyping(X2,X1,X3)
% 152.97/153.30 | ~ c_Type_Otyping(X2,X0,X3) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_5021]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_991,plain,
% 152.97/153.30 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.97/153.30 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 152.97/153.30 | X1 = X3
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2749_1) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5017,plain,
% 152.97/153.30 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.97/153.30 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 152.97/153.30 | X1 = X3
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_991]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5018,plain,
% 152.97/153.30 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.30 | c_Power_Opower__class_Opower(X2,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)
% 152.97/153.30 | X2 = X1 ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_5017]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_988,plain,
% 152.97/153.30 ( X0 = X1
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.97/153.30 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 152.97/153.30 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2749_4) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5011,plain,
% 152.97/153.30 ( X0 = X1
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.97/153.30 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 152.97/153.30 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_988]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_5012,plain,
% 152.97/153.30 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.30 | c_Power_Opower__class_Opower(X1,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X2,c_Suc(X3),X0)
% 152.97/153.30 | X1 = X2 ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_5011]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_977,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 152.97/153.30 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2754_3) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4989,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 152.97/153.30 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_977]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4990,plain,
% 152.97/153.30 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),c_HOL_Oone__class_Oone(X0),X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4989]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_975,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2760_1) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4985,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_975]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4986,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4985]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_971,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2761_1) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4977,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_971]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4978,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4977]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_961,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.30 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2763_3) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4957,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.30 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_961]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4958,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4957]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_957,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2764_3) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4949,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_957]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4950,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4949]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_951,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2766_1) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4937,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_951]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4938,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.30 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4937]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_947,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.30 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2767_1) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4929,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.30 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_947]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4930,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4929]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_936,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 152.97/153.30 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.97/153.30 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2769_4) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4907,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 152.97/153.30 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.97/153.30 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_936]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4908,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.97/153.30 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4907]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_931,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.97/153.30 | ~ c_lessequals(X0,X3,X1)
% 152.97/153.30 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.97/153.30 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2770_4) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4897,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.97/153.30 | ~ c_lessequals(X0,X3,X1)
% 152.97/153.30 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.97/153.30 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_931]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4898,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.97/153.30 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.97/153.30 | ~ c_lessequals(X2,X3,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4897]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_926,plain,
% 152.97/153.30 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 152.97/153.30 | ~ c_lessequals(X0,X2,X1)
% 152.97/153.30 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.97/153.30 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2771_4) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4887,plain,
% 152.97/153.30 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 152.97/153.30 | ~ c_lessequals(X0,X2,X1)
% 152.97/153.30 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.97/153.30 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_926]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4888,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.97/153.30 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.30 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0)
% 152.97/153.30 | ~ c_lessequals(X2,X3,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4887]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_921,plain,
% 152.97/153.30 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.97/153.30 | ~ c_lessequals(X0,X3,X1)
% 152.97/153.30 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.97/153.30 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2772_4) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4877,plain,
% 152.97/153.30 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.97/153.30 | ~ c_lessequals(X0,X3,X1)
% 152.97/153.30 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.97/153.30 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_921]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4878,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.97/153.30 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.30 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.97/153.30 | ~ c_lessequals(X2,X3,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4877]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_889,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 152.97/153.30 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2782_3) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4813,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 152.97/153.30 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_889]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4814,plain,
% 152.97/153.30 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4813]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_881,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2785_2) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4797,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_881]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4798,plain,
% 152.97/153.30 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.97/153.30 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X1,tc_nat) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4797]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_879,plain,
% 152.97/153.30 ( ~ c_List_Olistsp(X0,X1,X2)
% 152.97/153.30 | c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2)
% 152.97/153.30 | ~ c_List_Olistsp(X0,X3,X2) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2786_1) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4793,plain,
% 152.97/153.30 ( ~ c_List_Olistsp(X0,X1,X2)
% 152.97/153.30 | c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2)
% 152.97/153.30 | ~ c_List_Olistsp(X0,X3,X2) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_879]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4794,plain,
% 152.97/153.30 ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 152.97/153.30 | ~ c_List_Olistsp(X0,X2,X3)
% 152.97/153.30 | ~ c_List_Olistsp(X0,X1,X3) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4793]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_856,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.97/153.30 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2804_0) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4747,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.97/153.30 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_856]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4748,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.97/153.30 | c_HOL_Ominus__class_Ominus(X3,X4,X0) != c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4747]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_852,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.97/153.30 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2805_0) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4739,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.97/153.30 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_852]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4740,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.97/153.30 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4739]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_848,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.97/153.30 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.97/153.30 | ~ c_lessequals(X4,X3,X0)
% 152.97/153.30 | c_lessequals(X2,X1,X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2806_0) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4731,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.97/153.30 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.97/153.30 | ~ c_lessequals(X4,X3,X0)
% 152.97/153.30 | c_lessequals(X2,X1,X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_848]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4732,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.97/153.30 | ~ c_lessequals(X1,X2,X0)
% 152.97/153.30 | c_lessequals(X3,X4,X0)
% 152.97/153.30 | c_HOL_Ominus__class_Ominus(X4,X3,X0) != c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4731]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_844,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.97/153.30 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.97/153.30 | ~ c_lessequals(X2,X1,X0)
% 152.97/153.30 | c_lessequals(X4,X3,X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2807_0) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4723,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.97/153.30 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.97/153.30 | ~ c_lessequals(X2,X1,X0)
% 152.97/153.30 | c_lessequals(X4,X3,X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_844]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4724,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.97/153.30 | ~ c_lessequals(X1,X2,X0)
% 152.97/153.30 | c_lessequals(X3,X4,X0)
% 152.97/153.30 | c_HOL_Ominus__class_Ominus(X2,X1,X0) != c_HOL_Ominus__class_Ominus(X4,X3,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4723]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_815,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.30 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2824_1) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4665,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.30 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_815]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4666,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 152.97/153.30 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4665]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_812,plain,
% 152.97/153.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.97/153.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 152.97/153.30 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2824_4) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4659,plain,
% 152.97/153.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.97/153.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 152.97/153.30 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_812]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4660,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 152.97/153.30 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4659]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_810,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.30 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2825_1) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4655,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.30 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_810]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4656,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 152.97/153.30 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4655]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_807,plain,
% 152.97/153.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 152.97/153.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 152.97/153.30 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2825_4) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4649,plain,
% 152.97/153.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 152.97/153.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 152.97/153.30 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_807]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4650,plain,
% 152.97/153.30 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.30 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 152.97/153.30 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4649]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_799,plain,
% 152.97/153.30 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2830_0) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4633,plain,
% 152.97/153.30 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_799]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4634,plain,
% 152.97/153.30 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 152.97/153.30 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4633]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_791,plain,
% 152.97/153.30 ( X0 = X1
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 152.97/153.30 | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 152.97/153.30 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2832_3) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4617,plain,
% 152.97/153.30 ( X0 = X1
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 152.97/153.30 | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 152.97/153.30 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_791]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4618,plain,
% 152.97/153.30 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.97/153.30 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 152.97/153.30 | X2 = X3 ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4617]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_729,plain,
% 152.97/153.30 ( ~ class_Orderings_Opreorder(X0)
% 152.97/153.30 | ~ c_lessequals(X1,X2,X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2865_0) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4493,plain,
% 152.97/153.30 ( ~ class_Orderings_Opreorder(X0)
% 152.97/153.30 | ~ c_lessequals(X1,X2,X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_729]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4494,plain,
% 152.97/153.30 ( ~ class_Orderings_Opreorder(X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.97/153.30 | ~ c_lessequals(X2,X3,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4493]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_722,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.97/153.30 | ~ c_lessequals(X0,X3,X2)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.97/153.30 | ~ class_Orderings_Opreorder(X2) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2866_3) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4479,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.97/153.30 | ~ c_lessequals(X0,X3,X2)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.97/153.30 | ~ class_Orderings_Opreorder(X2) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_722]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4480,plain,
% 152.97/153.30 ( ~ class_Orderings_Opreorder(X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.97/153.30 | ~ c_lessequals(X1,X3,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4479]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_714,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.97/153.30 | ~ c_lessequals(X3,X1,X2)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.97/153.30 | ~ class_Orderings_Oorder(X2) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2868_3) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4463,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.97/153.30 | ~ c_lessequals(X3,X1,X2)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.97/153.30 | ~ class_Orderings_Oorder(X2) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_714]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4464,plain,
% 152.97/153.30 ( ~ class_Orderings_Oorder(X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.97/153.30 | ~ c_lessequals(X3,X2,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4463]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_713,plain,
% 152.97/153.30 ( ~ class_Orderings_Oorder(X0)
% 152.97/153.30 | ~ c_lessequals(X1,X2,X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2869_0) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4461,plain,
% 152.97/153.30 ( ~ class_Orderings_Oorder(X0)
% 152.97/153.30 | ~ c_lessequals(X1,X2,X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_713]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4462,plain,
% 152.97/153.30 ( ~ class_Orderings_Oorder(X0)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.97/153.30 | ~ c_lessequals(X3,X1,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4461]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_687,plain,
% 152.97/153.30 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.30 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2878_1) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4409,plain,
% 152.97/153.30 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.30 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_687]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4410,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4409]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_668,plain,
% 152.97/153.30 ( ~ class_Orderings_Opreorder(X0)
% 152.97/153.30 | ~ c_lessequals(X1,X2,X0)
% 152.97/153.30 | c_lessequals(X2,X1,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2893_1) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4371,plain,
% 152.97/153.30 ( ~ class_Orderings_Opreorder(X0)
% 152.97/153.30 | ~ c_lessequals(X1,X2,X0)
% 152.97/153.30 | c_lessequals(X2,X1,X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_668]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4372,plain,
% 152.97/153.30 ( ~ class_Orderings_Opreorder(X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.97/153.30 | ~ c_lessequals(X1,X2,X0)
% 152.97/153.30 | c_lessequals(X2,X1,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4371]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_666,plain,
% 152.97/153.30 ( c_lessequals(X0,X1,X2)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.97/153.30 | ~ c_lessequals(X1,X0,X2)
% 152.97/153.30 | ~ class_Orderings_Opreorder(X2) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2893_3) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4367,plain,
% 152.97/153.30 ( c_lessequals(X0,X1,X2)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.97/153.30 | ~ c_lessequals(X1,X0,X2)
% 152.97/153.30 | ~ class_Orderings_Opreorder(X2) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_666]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4368,plain,
% 152.97/153.30 ( ~ class_Orderings_Opreorder(X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.97/153.30 | c_lessequals(X2,X1,X0)
% 152.97/153.30 | ~ c_lessequals(X1,X2,X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4367]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_652,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.30 | X0 = X1
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.97/153.30 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2898_3) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4339,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.30 | X0 = X1
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.97/153.30 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_652]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4340,plain,
% 152.97/153.30 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.97/153.30 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 152.97/153.30 | X2 = X1 ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4339]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_623,plain,
% 152.97/153.30 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.97/153.30 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.97/153.30 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.97/153.30 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2908_3) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4281,plain,
% 152.97/153.30 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.97/153.30 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.97/153.30 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.97/153.30 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_623]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4282,plain,
% 152.97/153.30 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.97/153.30 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.97/153.30 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.97/153.30 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4281]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_594,plain,
% 152.97/153.30 ( X0 = X1
% 152.97/153.30 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.97/153.30 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2918_2) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4223,plain,
% 152.97/153.30 ( X0 = X1
% 152.97/153.30 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.97/153.30 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_594]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4224,plain,
% 152.97/153.30 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.97/153.30 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.97/153.30 | X0 = X1 ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4223]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_570,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.30 | X1 = X0
% 152.97/153.30 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2928_2) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4175,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.30 | X1 = X0
% 152.97/153.30 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_570]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4176,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.30 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1)
% 152.97/153.30 | X1 = X0 ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4175]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_560,plain,
% 152.97/153.30 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.97/153.30 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.97/153.30 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.97/153.30 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2936_3) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4155,plain,
% 152.97/153.30 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.97/153.30 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.97/153.30 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.97/153.30 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_560]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4156,plain,
% 152.97/153.30 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.97/153.30 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.97/153.30 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.97/153.30 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0 ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4155]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_552,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.97/153.30 | X0 = X1
% 152.97/153.30 | ~ c_lessequals(X0,X1,X2)
% 152.97/153.30 | ~ class_Orderings_Olinorder(X2) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2938_3) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4139,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.97/153.30 | X0 = X1
% 152.97/153.30 | ~ c_lessequals(X0,X1,X2)
% 152.97/153.30 | ~ class_Orderings_Olinorder(X2) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_552]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4140,plain,
% 152.97/153.30 ( ~ class_Orderings_Olinorder(X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.97/153.30 | ~ c_lessequals(X1,X2,X0)
% 152.97/153.30 | X1 = X2 ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4139]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_536,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.97/153.30 | X0 = X1
% 152.97/153.30 | ~ c_lessequals(X0,X1,X2)
% 152.97/153.30 | ~ class_Orderings_Oorder(X2) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2942_3) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4107,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.97/153.30 | X0 = X1
% 152.97/153.30 | ~ c_lessequals(X0,X1,X2)
% 152.97/153.30 | ~ class_Orderings_Oorder(X2) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_536]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4108,plain,
% 152.97/153.30 ( ~ class_Orderings_Oorder(X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.97/153.30 | ~ c_lessequals(X1,X2,X0)
% 152.97/153.30 | X1 = X2 ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4107]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_528,plain,
% 152.97/153.30 ( X0 = X1
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.97/153.30 | ~ c_lessequals(X1,X0,X2)
% 152.97/153.30 | ~ class_Orderings_Oorder(X2) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2944_3) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4091,plain,
% 152.97/153.30 ( X0 = X1
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.97/153.30 | ~ c_lessequals(X1,X0,X2)
% 152.97/153.30 | ~ class_Orderings_Oorder(X2) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_528]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4092,plain,
% 152.97/153.30 ( ~ class_Orderings_Oorder(X0)
% 152.97/153.30 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.97/153.30 | ~ c_lessequals(X1,X2,X0)
% 152.97/153.30 | X2 = X1 ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4091]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_512,plain,
% 152.97/153.30 ( c_Suc(X0) = X1
% 152.97/153.30 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2950_2) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4059,plain,
% 152.97/153.30 ( c_Suc(X0) = X1
% 152.97/153.30 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_512]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_4060,plain,
% 152.97/153.30 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.97/153.30 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.30 | c_Suc(X0) = X1 ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_4059]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_480,plain,
% 152.97/153.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.97/153.30 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.97/153.30 | ~ class_Power_Opower(X1)
% 152.97/153.30 | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.97/153.30 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.97/153.30 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.97/153.30 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2968_5) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_3995,plain,
% 152.97/153.30 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.97/153.30 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.97/153.30 | ~ class_Power_Opower(X1)
% 152.97/153.30 | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.97/153.30 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.97/153.30 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.97/153.30 inference(copy,[status(esa)],[c_480]) ).
% 152.97/153.30
% 152.97/153.30 cnf(c_3996,plain,
% 152.97/153.30 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 152.97/153.30 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 152.97/153.30 | ~ class_Ring__and__Field_Omult__zero(X0)
% 152.97/153.30 | ~ class_Power_Opower(X0)
% 152.97/153.30 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.97/153.30 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.97/153.30 inference(rewriting,[status(thm)],[c_3995]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_475,plain,
% 152.97/153.31 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.97/153.31 | ~ class_Power_Opower(X1)
% 152.97/153.31 | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.97/153.31 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.97/153.31 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2969_4) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_3985,plain,
% 152.97/153.31 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.97/153.31 | ~ class_Power_Opower(X1)
% 152.97/153.31 | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.97/153.31 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.97/153.31 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_475]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_3986,plain,
% 152.97/153.31 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 152.97/153.31 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 152.97/153.31 | ~ class_Ring__and__Field_Omult__zero(X0)
% 152.97/153.31 | ~ class_Power_Opower(X0)
% 152.97/153.31 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_3985]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_472,plain,
% 152.97/153.31 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.31 | X1 = X0
% 152.97/153.31 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2971_2) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_3979,plain,
% 152.97/153.31 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.31 | X1 = X0
% 152.97/153.31 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_472]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_3980,plain,
% 152.97/153.31 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.31 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 152.97/153.31 | X1 = X0 ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_3979]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_452,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.97/153.31 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.97/153.31 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2976_3) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_3939,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.97/153.31 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.97/153.31 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_452]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_3940,plain,
% 152.97/153.31 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 152.97/153.31 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.97/153.31 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.97/153.31 | X1 = X2 ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_3939]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_405,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.31 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2999_2) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_3845,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.31 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_405]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_3846,plain,
% 152.97/153.31 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.31 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.97/153.31 | X0 = X1 ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_3845]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_360,plain,
% 152.97/153.31 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.97/153.31 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.97/153.31 | ~ class_Power_Opower(X1)
% 152.97/153.31 | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.97/153.31 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.97/153.31 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3014_5) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_3755,plain,
% 152.97/153.31 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.97/153.31 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.97/153.31 | ~ class_Power_Opower(X1)
% 152.97/153.31 | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.97/153.31 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.97/153.31 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_360]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_3756,plain,
% 152.97/153.31 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 152.97/153.31 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 152.97/153.31 | ~ class_Ring__and__Field_Omult__zero(X0)
% 152.97/153.31 | ~ class_Power_Opower(X0)
% 152.97/153.31 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.97/153.31 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_3755]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1362,plain,
% 152.97/153.31 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2561_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5759,plain,
% 152.97/153.31 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1362]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5760,plain,
% 152.97/153.31 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2))
% 152.97/153.31 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2 ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5759]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1353,plain,
% 152.97/153.31 ( c_ListOrder_Ostep1(c_Lambda_Obeta,X0,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X0,X2),tc_Lambda_OdB)
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X0,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2564_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5741,plain,
% 152.97/153.31 ( c_ListOrder_Ostep1(c_Lambda_Obeta,X0,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X0,X2),tc_Lambda_OdB)
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X0,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1353]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5742,plain,
% 152.97/153.31 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2))
% 152.97/153.31 | c_ListOrder_Ostep1(c_Lambda_Obeta,X1,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X0,X1,X2),tc_Lambda_OdB) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5741]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1345,plain,
% 152.97/153.31 ( hBOOL(hAPP(hAPP(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,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.31 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,X1,X2,tc_Lambda_OdB) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2567_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5725,plain,
% 152.97/153.31 ( hBOOL(hAPP(hAPP(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,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.31 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,X1,X2,tc_Lambda_OdB) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1345]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1343,plain,
% 152.97/153.31 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),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)))
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2568_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5721,plain,
% 152.97/153.31 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),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)))
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1343]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1341,plain,
% 152.97/153.31 ( hBOOL(hAPP(hAPP(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)))
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2569_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5717,plain,
% 152.97/153.31 ( hBOOL(hAPP(hAPP(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)))
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1341]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1334,plain,
% 152.97/153.31 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 152.97/153.31 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2574_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5703,plain,
% 152.97/153.31 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 152.97/153.31 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1334]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1332,plain,
% 152.97/153.31 ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 152.97/153.31 | hAPP(X0,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X4,X1,X2,X3)) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2575_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5699,plain,
% 152.97/153.31 ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 152.97/153.31 | hAPP(X0,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X4,X1,X2,X3)) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1332]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5700,plain,
% 152.97/153.31 ( hAPP(X0,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X1,X2,X3,X4)) != hAPP(X1,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X1,X2,X3,X4))
% 152.97/153.31 | c_List_Omap(X0,X2,X3,X4) = c_List_Omap(X1,X2,X3,X4) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5699]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1330,plain,
% 152.97/153.31 ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 152.97/153.31 | hAPP(X0,c_List_Osko__List__Xmap__cong__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__cong__1__1(X0,X4,X1,X2,X3)) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2576_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5695,plain,
% 152.97/153.31 ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 152.97/153.31 | hAPP(X0,c_List_Osko__List__Xmap__cong__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__cong__1__1(X0,X4,X1,X2,X3)) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1330]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5696,plain,
% 152.97/153.31 ( hAPP(X0,c_List_Osko__List__Xmap__cong__1__1(X0,X1,X2,X3,X4)) != hAPP(X1,c_List_Osko__List__Xmap__cong__1__1(X0,X1,X2,X3,X4))
% 152.97/153.31 | c_List_Omap(X0,X2,X3,X4) = c_List_Omap(X1,X2,X3,X4) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5695]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1328,plain,
% 152.97/153.31 ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 152.97/153.31 | hAPP(X0,c_List_Osko__List__Xmap__ext__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__ext__1__1(X0,X4,X1,X2,X3)) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2577_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5691,plain,
% 152.97/153.31 ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 152.97/153.31 | hAPP(X0,c_List_Osko__List__Xmap__ext__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__ext__1__1(X0,X4,X1,X2,X3)) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1328]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5692,plain,
% 152.97/153.31 ( hAPP(X0,c_List_Osko__List__Xmap__ext__1__1(X0,X1,X2,X3,X4)) != hAPP(X1,c_List_Osko__List__Xmap__ext__1__1(X0,X1,X2,X3,X4))
% 152.97/153.31 | c_List_Omap(X0,X2,X3,X4) = c_List_Omap(X1,X2,X3,X4) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5691]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1325,plain,
% 152.97/153.31 ( hBOOL(hAPP(X0,c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(X0)))
% 152.97/153.31 | hBOOL(hAPP(X0,X1))
% 152.97/153.31 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(X0)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2578_2) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5685,plain,
% 152.97/153.31 ( hBOOL(hAPP(X0,c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(X0)))
% 152.97/153.31 | hBOOL(hAPP(X0,X1))
% 152.97/153.31 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(X0)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1325]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5686,plain,
% 152.97/153.31 ( ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(X0)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.31 | hBOOL(hAPP(X0,c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(X0)))
% 152.97/153.31 | hBOOL(hAPP(X0,X1)) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5685]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1322,plain,
% 152.97/153.31 ( hBOOL(hAPP(X0,X1))
% 152.97/153.31 | hBOOL(hAPP(X0,c_ListApplication_Osko__ListApplication__Xlem__1__3(X0)))
% 152.97/153.31 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(X0)),c_ListApplication_Osko__ListApplication__Xlem__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2579_2) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5679,plain,
% 152.97/153.31 ( hBOOL(hAPP(X0,X1))
% 152.97/153.31 | hBOOL(hAPP(X0,c_ListApplication_Osko__ListApplication__Xlem__1__3(X0)))
% 152.97/153.31 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(X0)),c_ListApplication_Osko__ListApplication__Xlem__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1322]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5680,plain,
% 152.97/153.31 ( ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(X0)),c_ListApplication_Osko__ListApplication__Xlem__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.31 | hBOOL(hAPP(X0,c_ListApplication_Osko__ListApplication__Xlem__1__3(X0)))
% 152.97/153.31 | hBOOL(hAPP(X0,X1)) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5679]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1320,plain,
% 152.97/153.31 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.97/153.31 | X4 = X3
% 152.97/153.31 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2580_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5675,plain,
% 152.97/153.31 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.97/153.31 | X4 = X3
% 152.97/153.31 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1320]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5676,plain,
% 152.97/153.31 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.97/153.31 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 152.97/153.31 | X4 = X3 ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5675]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1315,plain,
% 152.97/153.31 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 152.97/153.31 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2582_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5665,plain,
% 152.97/153.31 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 152.97/153.31 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1315]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1311,plain,
% 152.97/153.31 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 152.97/153.31 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2584_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5657,plain,
% 152.97/153.31 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 152.97/153.31 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1311]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1301,plain,
% 152.97/153.31 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)
% 152.97/153.31 | c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB) = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2588_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5637,plain,
% 152.97/153.31 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)
% 152.97/153.31 | c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB) = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1301]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5638,plain,
% 152.97/153.31 ( c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB) = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.97/153.31 | c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = hAPP(hAPP(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB)),X1) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5637]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1291,plain,
% 152.97/153.31 ( c_Type_Otypings(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_List_Omap(c_COMBC(c_Lambda_Olift,X1,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 152.97/153.31 | ~ c_Type_Otypings(X0,X3,X4) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2593_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5617,plain,
% 152.97/153.31 ( c_Type_Otypings(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_List_Omap(c_COMBC(c_Lambda_Olift,X1,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X3,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 152.97/153.31 | ~ c_Type_Otypings(X0,X3,X4) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1291]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1289,plain,
% 152.97/153.31 ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X0,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 152.97/153.31 | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2594_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5613,plain,
% 152.97/153.31 ( c_List_Olistsp(c_InductTermi_OIT,c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),X0,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB)
% 152.97/153.31 | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1289]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1287,plain,
% 152.97/153.31 ( hAPP(c_Fun_Ocomp(X0,X1,X2,X3,X4),X5) = hAPP(c_Fun_Ocomp(X6,X7,X8,X3,X9),X10)
% 152.97/153.31 | hAPP(X0,hAPP(X1,X5)) != hAPP(X6,hAPP(X7,X10)) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2595_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5609,plain,
% 152.97/153.31 ( hAPP(c_Fun_Ocomp(X0,X1,X2,X3,X4),X5) = hAPP(c_Fun_Ocomp(X6,X7,X8,X3,X9),X10)
% 152.97/153.31 | hAPP(X0,hAPP(X1,X5)) != hAPP(X6,hAPP(X7,X10)) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1287]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1285,plain,
% 152.97/153.31 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.31 | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2596_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5605,plain,
% 152.97/153.31 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.97/153.31 | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1285]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1283,plain,
% 152.97/153.31 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X3,X1))
% 152.97/153.31 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2598_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5601,plain,
% 152.97/153.31 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X3,X1))
% 152.97/153.31 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1283]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5602,plain,
% 152.97/153.31 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.97/153.31 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X0,X1,X2)) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5601]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1281,plain,
% 152.97/153.31 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X3,X1))
% 152.97/153.31 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2599_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5597,plain,
% 152.97/153.31 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X3,X1))
% 152.97/153.31 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1281]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5598,plain,
% 152.97/153.31 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.97/153.31 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2)) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5597]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1279,plain,
% 152.97/153.31 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
% 152.97/153.31 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2600_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5593,plain,
% 152.97/153.31 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
% 152.97/153.31 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1279]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5594,plain,
% 152.97/153.31 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.97/153.31 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X0,X1,X2)) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5593]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1277,plain,
% 152.97/153.31 ( hAPP(X0,hAPP(X1,X2)) = hAPP(X3,hAPP(X4,X2))
% 152.97/153.31 | c_Fun_Ocomp(X0,X1,X5,X6,X7) != c_Fun_Ocomp(X3,X4,X8,X6,X7) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2601_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5589,plain,
% 152.97/153.31 ( hAPP(X0,hAPP(X1,X2)) = hAPP(X3,hAPP(X4,X2))
% 152.97/153.31 | c_Fun_Ocomp(X0,X1,X5,X6,X7) != c_Fun_Ocomp(X3,X4,X8,X6,X7) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1277]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1275,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | 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) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2602_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5585,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | 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) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1275]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5586,plain,
% 152.97/153.31 ( 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)
% 152.97/153.31 | X1 = X3 ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5585]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1273,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | 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) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2603_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5581,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | 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) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1273]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5582,plain,
% 152.97/153.31 ( 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)
% 152.97/153.31 | X0 = X2 ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5581]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1271,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | 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) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2604_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5577,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | 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) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1271]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5578,plain,
% 152.97/153.31 ( 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)
% 152.97/153.31 | X1 = X3 ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5577]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1269,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | 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) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2605_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5573,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | 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) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1269]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5574,plain,
% 152.97/153.31 ( 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)
% 152.97/153.31 | X0 = X2 ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5573]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1267,plain,
% 152.97/153.31 ( 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))
% 152.97/153.31 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2606_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5569,plain,
% 152.97/153.31 ( 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))
% 152.97/153.31 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1267]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5570,plain,
% 152.97/153.31 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 152.97/153.31 | 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)) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5569]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1265,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | 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) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2608_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5565,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | 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) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1265]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5566,plain,
% 152.97/153.31 ( 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)
% 152.97/153.31 | X0 = X2 ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5565]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1263,plain,
% 152.97/153.31 ( c_List_Ofoldl(X0,hAPP(hAPP(X0,X1),X2),X3,X4,X4) = hAPP(hAPP(X0,X1),c_List_Ofoldl(X0,X2,X3,X4,X4))
% 152.97/153.31 | ~ c_OrderedGroup_Osemigroup__add(X0,X4) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2609_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5561,plain,
% 152.97/153.31 ( c_List_Ofoldl(X0,hAPP(hAPP(X0,X1),X2),X3,X4,X4) = hAPP(hAPP(X0,X1),c_List_Ofoldl(X0,X2,X3,X4,X4))
% 152.97/153.31 | ~ c_OrderedGroup_Osemigroup__add(X0,X4) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1263]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5562,plain,
% 152.97/153.31 ( ~ c_OrderedGroup_Osemigroup__add(X0,X1)
% 152.97/153.31 | c_List_Ofoldl(X0,hAPP(hAPP(X0,X2),X3),X4,X1,X1) = hAPP(hAPP(X0,X2),c_List_Ofoldl(X0,X3,X4,X1,X1)) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5561]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1261,plain,
% 152.97/153.31 ( hAPP(hAPP(X0,X1),c_List_Ofoldl(X0,X2,X3,X4,X4)) = c_List_Ofoldl(X0,X1,X3,X4,X4)
% 152.97/153.31 | ~ c_OrderedGroup_Omonoid__add(X2,X0,X4) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2610_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5557,plain,
% 152.97/153.31 ( hAPP(hAPP(X0,X1),c_List_Ofoldl(X0,X2,X3,X4,X4)) = c_List_Ofoldl(X0,X1,X3,X4,X4)
% 152.97/153.31 | ~ c_OrderedGroup_Omonoid__add(X2,X0,X4) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1261]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5558,plain,
% 152.97/153.31 ( ~ c_OrderedGroup_Omonoid__add(X0,X1,X2)
% 152.97/153.31 | hAPP(hAPP(X1,X3),c_List_Ofoldl(X1,X0,X4,X2,X2)) = c_List_Ofoldl(X1,X3,X4,X2,X2) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5557]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1259,plain,
% 152.97/153.31 ( 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)
% 152.97/153.31 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2611_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5553,plain,
% 152.97/153.31 ( 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)
% 152.97/153.31 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1259]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5554,plain,
% 152.97/153.31 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 152.97/153.31 | 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) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5553]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1256,plain,
% 152.97/153.31 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.97/153.31 | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X2,X3,X1,X0),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.97/153.31 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2613_2) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5547,plain,
% 152.97/153.31 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.97/153.31 | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X2,X3,X1,X0),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.97/153.31 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1256]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5548,plain,
% 152.97/153.31 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.97/153.31 | c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X0,X1,X2,X3),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.31 | X3 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5547]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1254,plain,
% 152.97/153.31 ( c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),c_List_Oappend(X2,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)
% 152.97/153.31 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB) != X0 ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2614_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5543,plain,
% 152.97/153.31 ( c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),c_List_Oappend(X2,c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) = hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)
% 152.97/153.31 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB) != X0 ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1254]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1252,plain,
% 152.97/153.31 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X1),X2)),c_Suc(X3))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X1),X3)),X2) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X4),X2)),X1),X3)
% 152.97/153.31 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2616_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5539,plain,
% 152.97/153.31 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X1),X2)),c_Suc(X3))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X1),X3)),X2) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X4),X2)),X1),X3)
% 152.97/153.31 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1252]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5540,plain,
% 152.97/153.31 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 152.97/153.31 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),hAPP(hAPP(c_Lambda_Olift,X3),X0)),c_Suc(X1))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X1)),X0) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X4),X0)),X3),X1) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5539]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1250,plain,
% 152.97/153.31 ( c_Nat_Osemiring__1__class_Oof__nat__aux(c_COMBC(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0),X0,X0,X0),X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(X1,X0)
% 152.97/153.31 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2617_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5535,plain,
% 152.97/153.31 ( c_Nat_Osemiring__1__class_Oof__nat__aux(c_COMBC(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0),X0,X0,X0),X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(X1,X0)
% 152.97/153.31 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1250]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5536,plain,
% 152.97/153.31 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.97/153.31 | c_Nat_Osemiring__1__class_Oof__nat__aux(c_COMBC(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0),X0,X0,X0),X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(X1,X0) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5535]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1239,plain,
% 152.97/153.31 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.97/153.31 | c_List_Oappend(c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X1,X2,X3,X0),c_List_Olist_OCons(X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB) = X0
% 152.97/153.31 | hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2620_2) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5513,plain,
% 152.97/153.31 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.97/153.31 | c_List_Oappend(c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X1,X2,X3,X0),c_List_Olist_OCons(X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB) = X0
% 152.97/153.31 | hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1239]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5514,plain,
% 152.97/153.31 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.97/153.31 | c_List_Oappend(c_ListApplication_Osko__ListApplication__XApp__eq__foldl__conv__1__1(X0,X1,X2,X3),c_List_Olist_OCons(X1,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB),tc_Lambda_OdB) = X3
% 152.97/153.31 | X3 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5513]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1237,plain,
% 152.97/153.31 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 152.97/153.31 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2627_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5509,plain,
% 152.97/153.31 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 152.97/153.31 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1237]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5510,plain,
% 152.97/153.31 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,c_List_Olist_ONil(tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB)
% 152.97/153.31 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2 ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5509]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1235,plain,
% 152.97/153.31 ( c_Lambda_OdB_OVar(X0) = X1
% 152.97/153.31 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2629_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5505,plain,
% 152.97/153.31 ( c_Lambda_OdB_OVar(X0) = X1
% 152.97/153.31 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1235]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5506,plain,
% 152.97/153.31 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.97/153.31 | c_Lambda_OdB_OVar(X0) = X1 ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5505]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1233,plain,
% 152.97/153.31 ( c_Lambda_OdB_OAbs(X0) = X1
% 152.97/153.31 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2630_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5501,plain,
% 152.97/153.31 ( c_Lambda_OdB_OAbs(X0) = X1
% 152.97/153.31 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1233]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5502,plain,
% 152.97/153.31 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.97/153.31 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5501]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1231,plain,
% 152.97/153.31 ( X0 = c_Lambda_OdB_OAbs(X1)
% 152.97/153.31 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2631_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5497,plain,
% 152.97/153.31 ( X0 = c_Lambda_OdB_OAbs(X1)
% 152.97/153.31 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1231]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5498,plain,
% 152.97/153.31 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 152.97/153.31 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5497]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1229,plain,
% 152.97/153.31 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,X2),X1)),X3) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 152.97/153.31 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2632_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5493,plain,
% 152.97/153.31 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,X2),X1)),X3) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 152.97/153.31 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1229]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5494,plain,
% 152.97/153.31 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 152.97/153.31 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)))),hAPP(hAPP(c_Lambda_Olift,X3),X1)),X0) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X3),X0)),X1) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5493]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1227,plain,
% 152.97/153.31 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.97/153.31 | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2633_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5489,plain,
% 152.97/153.31 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.97/153.31 | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1227]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5490,plain,
% 152.97/153.31 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.97/153.31 | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5489]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1225,plain,
% 152.97/153.31 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.97/153.31 | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2634_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5485,plain,
% 152.97/153.31 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.97/153.31 | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1225]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5486,plain,
% 152.97/153.31 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 152.97/153.31 | X1 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5485]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1223,plain,
% 152.97/153.31 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.97/153.31 | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2635_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5481,plain,
% 152.97/153.31 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.97/153.31 | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1223]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5482,plain,
% 152.97/153.31 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.97/153.31 | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5481]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1217,plain,
% 152.97/153.31 ( c_ListOrder_Ostep1(X0,X1,X2,X3)
% 152.97/153.31 | X1 = X2
% 152.97/153.31 | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2637_2) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5469,plain,
% 152.97/153.31 ( c_ListOrder_Ostep1(X0,X1,X2,X3)
% 152.97/153.31 | X1 = X2
% 152.97/153.31 | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1217]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5470,plain,
% 152.97/153.31 ( ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3)
% 152.97/153.31 | c_ListOrder_Ostep1(X0,X1,X4,X3)
% 152.97/153.31 | X1 = X4 ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5469]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1208,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | c_List_Olist__update(c_List_Olist__update(X2,X0,X3,X4),X1,X5,X4) = c_List_Olist__update(c_List_Olist__update(X2,X1,X5,X4),X0,X3,X4) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2642_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5451,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | c_List_Olist__update(c_List_Olist__update(X2,X0,X3,X4),X1,X5,X4) = c_List_Olist__update(c_List_Olist__update(X2,X1,X5,X4),X0,X3,X4) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1208]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5452,plain,
% 152.97/153.31 ( c_List_Olist__update(c_List_Olist__update(X0,X1,X2,X3),X4,X5,X3) = c_List_Olist__update(c_List_Olist__update(X0,X4,X5,X3),X1,X2,X3)
% 152.97/153.31 | X1 = X4 ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5451]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1207,plain,
% 152.97/153.31 ( ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3)
% 152.97/153.31 | X1 = X4
% 152.97/153.31 | X2 = X5 ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2643_0) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5449,plain,
% 152.97/153.31 ( ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3)
% 152.97/153.31 | X1 = X4
% 152.97/153.31 | X2 = X5 ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1207]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1205,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | X2 = X3
% 152.97/153.31 | ~ c_ListOrder_Ostep1(X4,c_List_Oappend(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil(X5),X5),X5),c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X5),X5),X5),X5) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2643_2) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5445,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | X2 = X3
% 152.97/153.31 | ~ c_ListOrder_Ostep1(X4,c_List_Oappend(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil(X5),X5),X5),c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X5),X5),X5),X5) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1205]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5446,plain,
% 152.97/153.31 ( ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3)
% 152.97/153.31 | X2 = X5
% 152.97/153.31 | X1 = X4 ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5445]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1201,plain,
% 152.97/153.31 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.97/153.31 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.97/153.31 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.31 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2644_3) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5437,plain,
% 152.97/153.31 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.97/153.31 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.97/153.31 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.97/153.31 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1201]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5438,plain,
% 152.97/153.31 ( ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.97/153.31 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.97/153.31 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.97/153.31 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0 ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5437]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1199,plain,
% 152.97/153.31 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X3),X2)))
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2645_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5433,plain,
% 152.97/153.31 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X3),X2)))
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1199]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1197,plain,
% 152.97/153.31 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2)))
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X3)) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2646_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5429,plain,
% 152.97/153.31 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2)))
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X3)) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1197]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1187,plain,
% 152.97/153.31 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X3),X2)))
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3)) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2652_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5409,plain,
% 152.97/153.31 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X3),X2)))
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3)) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1187]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1185,plain,
% 152.97/153.31 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat))) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 152.97/153.31 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2656_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5405,plain,
% 152.97/153.31 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat))) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X2),X3)),X1)
% 152.97/153.31 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1185]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5406,plain,
% 152.97/153.31 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 152.97/153.31 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(c_Lambda_Olift,X2),X0)),hAPP(hAPP(c_Lambda_Olift,X3),X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat))) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X3),X1)),X0) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5405]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1183,plain,
% 152.97/153.31 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2)))
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X3)) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2657_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5401,plain,
% 152.97/153.31 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2)))
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X3)) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1183]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1177,plain,
% 152.97/153.31 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)))
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2))
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2664_2) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5389,plain,
% 152.97/153.31 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)))
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2))
% 152.97/153.31 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1177]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1172,plain,
% 152.97/153.31 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),hAPP(hAPP(c_Type_Otype_OFun,X2),X3))
% 152.97/153.31 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2666_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5379,plain,
% 152.97/153.31 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),hAPP(hAPP(c_Type_Otype_OFun,X2),X3))
% 152.97/153.31 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1172]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5380,plain,
% 152.97/153.31 ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 152.97/153.31 | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),hAPP(hAPP(c_Type_Otype_OFun,X1),X3)) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5379]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1169,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | c_ListOrder_Ostep1(X2,X1,X0,X3)
% 152.97/153.31 | ~ c_ListOrder_Ostep1(X2,c_List_Olist_OCons(X4,X1,X3),c_List_Olist_OCons(X5,X0,X3),X3) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2668_2) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5373,plain,
% 152.97/153.31 ( X0 = X1
% 152.97/153.31 | c_ListOrder_Ostep1(X2,X1,X0,X3)
% 152.97/153.31 | ~ c_ListOrder_Ostep1(X2,c_List_Olist_OCons(X4,X1,X3),c_List_Olist_OCons(X5,X0,X3),X3) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1169]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5374,plain,
% 152.97/153.31 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)
% 152.97/153.31 | c_ListOrder_Ostep1(X0,X2,X5,X3)
% 152.97/153.31 | X5 = X2 ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5373]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1165,plain,
% 152.97/153.31 ( hBOOL(hAPP(X0,X1))
% 152.97/153.31 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2670_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5365,plain,
% 152.97/153.31 ( hBOOL(hAPP(X0,X1))
% 152.97/153.31 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1165]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5366,plain,
% 152.97/153.31 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 152.97/153.31 | hBOOL(hAPP(X0,X2)) ),
% 152.97/153.31 inference(rewriting,[status(thm)],[c_5365]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1163,plain,
% 152.97/153.31 ( c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X1,X4,X3),X3)
% 152.97/153.31 | ~ c_ListOrder_Ostep1(X0,X2,X4,X3) ),
% 152.97/153.31 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2677_1) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_5361,plain,
% 152.97/153.31 ( c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X1,X4,X3),X3)
% 152.97/153.31 | ~ c_ListOrder_Ostep1(X0,X2,X4,X3) ),
% 152.97/153.31 inference(copy,[status(esa)],[c_1163]) ).
% 152.97/153.31
% 152.97/153.31 cnf(c_1161,plain,
% 152.97/153.32 ( c_ListOrder_Ostep1(X0,c_List_Oappend(X1,X2,X3),c_List_Oappend(X1,X4,X3),X3)
% 152.97/153.32 | ~ c_ListOrder_Ostep1(X0,X2,X4,X3) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2678_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5357,plain,
% 152.97/153.32 ( c_ListOrder_Ostep1(X0,c_List_Oappend(X1,X2,X3),c_List_Oappend(X1,X4,X3),X3)
% 152.97/153.32 | ~ c_ListOrder_Ostep1(X0,X2,X4,X3) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1161]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1159,plain,
% 152.97/153.32 ( c_ListOrder_Ostep1(X0,c_List_Oappend(X1,X2,X3),c_List_Oappend(X4,X2,X3),X3)
% 152.97/153.32 | ~ c_ListOrder_Ostep1(X0,X1,X4,X3) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2679_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5353,plain,
% 152.97/153.32 ( c_ListOrder_Ostep1(X0,c_List_Oappend(X1,X2,X3),c_List_Oappend(X4,X2,X3),X3)
% 152.97/153.32 | ~ c_ListOrder_Ostep1(X0,X1,X4,X3) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1159]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1157,plain,
% 152.97/153.32 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2680_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5349,plain,
% 152.97/153.32 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1157]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1155,plain,
% 152.97/153.32 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2681_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5345,plain,
% 152.97/153.32 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1155]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1153,plain,
% 152.97/153.32 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2)))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2682_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5341,plain,
% 152.97/153.32 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2)))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1153]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1149,plain,
% 152.97/153.32 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X2))
% 152.97/153.32 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2686_0) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5333,plain,
% 152.97/153.32 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X2))
% 152.97/153.32 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1149]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1148,plain,
% 152.97/153.32 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.97/153.32 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X2)) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2686_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5331,plain,
% 152.97/153.32 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.97/153.32 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X2)) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1148]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1147,plain,
% 152.97/153.32 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2686_2) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5329,plain,
% 152.97/153.32 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1147]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1146,plain,
% 152.97/153.32 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)
% 152.97/153.32 | X4 = X1
% 152.97/153.32 | X5 = X2 ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2687_0) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5327,plain,
% 152.97/153.32 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)
% 152.97/153.32 | X4 = X1
% 152.97/153.32 | X5 = X2 ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1146]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1144,plain,
% 152.97/153.32 ( X0 = X1
% 152.97/153.32 | X2 = X3
% 152.97/153.32 | ~ c_ListOrder_Ostep1(X4,c_List_Olist_OCons(X3,X1,X5),c_List_Olist_OCons(X2,X0,X5),X5) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2687_2) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5323,plain,
% 152.97/153.32 ( X0 = X1
% 152.97/153.32 | X2 = X3
% 152.97/153.32 | ~ c_ListOrder_Ostep1(X4,c_List_Olist_OCons(X3,X1,X5),c_List_Olist_OCons(X2,X0,X5),X5) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1144]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5324,plain,
% 152.97/153.32 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)
% 152.97/153.32 | X5 = X2
% 152.97/153.32 | X4 = X1 ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5323]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1142,plain,
% 152.97/153.32 ( 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))
% 152.97/153.32 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2688_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5319,plain,
% 152.97/153.32 ( 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))
% 152.97/153.32 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1142]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5320,plain,
% 152.97/153.32 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.97/153.32 | 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)) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5319]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1140,plain,
% 152.97/153.32 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,c_HOL_Ominus__class_Ominus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X4,tc_nat) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2689_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5315,plain,
% 152.97/153.32 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,c_HOL_Ominus__class_Ominus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X4,tc_nat) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1140]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5316,plain,
% 152.97/153.32 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.32 | hAPP(c_Type_Oshift(X2,X0,X3,X4),X1) = hAPP(X2,c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5315]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1138,plain,
% 152.97/153.32 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X3),X1),X4)
% 152.97/153.32 | ~ c_Type_Otyping(X0,X3,X4) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2690_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5311,plain,
% 152.97/153.32 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X3),X1),X4)
% 152.97/153.32 | ~ c_Type_Otyping(X0,X3,X4) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1138]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1136,plain,
% 152.97/153.32 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.97/153.32 | c_List_Olist_OCons(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2691_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5307,plain,
% 152.97/153.32 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.97/153.32 | c_List_Olist_OCons(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1136]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5308,plain,
% 152.97/153.32 ( c_List_Olist_OCons(X0,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X0,X2,X3),X3)
% 152.97/153.32 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5307]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1134,plain,
% 152.97/153.32 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2692_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5303,plain,
% 152.97/153.32 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1134]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1132,plain,
% 152.97/153.32 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2693_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5299,plain,
% 152.97/153.32 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1132]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1130,plain,
% 152.97/153.32 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2)))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2694_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5295,plain,
% 152.97/153.32 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2)))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1130]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1126,plain,
% 152.97/153.32 ( c_lessequals(X0,X1,X2)
% 152.97/153.32 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 152.97/153.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.97/153.32 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2695_3) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5287,plain,
% 152.97/153.32 ( c_lessequals(X0,X1,X2)
% 152.97/153.32 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 152.97/153.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.97/153.32 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1126]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5288,plain,
% 152.97/153.32 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.97/153.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.32 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 152.97/153.32 | c_lessequals(X2,X1,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5287]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1123,plain,
% 152.97/153.32 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(X0,X4),X3)) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2696_2) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5281,plain,
% 152.97/153.32 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(X0,X4),X3)) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1123]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1121,plain,
% 152.97/153.32 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.97/153.32 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(X0,X4),X2)) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2697_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5277,plain,
% 152.97/153.32 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.97/153.32 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(X0,X4),X2)) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1121]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1118,plain,
% 152.97/153.32 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2698_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5271,plain,
% 152.97/153.32 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1118]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5272,plain,
% 152.97/153.32 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.32 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5271]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1116,plain,
% 152.97/153.32 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X1)),c_Suc(X2)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X2)),X1)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2699_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5267,plain,
% 152.97/153.32 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X1)),c_Suc(X2)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X2)),X1)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1116]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5268,plain,
% 152.97/153.32 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Oone__class_Oone(tc_nat)),tc_nat)
% 152.97/153.32 | hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X2),X0)),c_Suc(X1)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X2),X1)),X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5267]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1114,plain,
% 152.97/153.32 ( c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X2,X3),X3)
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2701_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5263,plain,
% 152.97/153.32 ( c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X2,X3),X3)
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1114]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5264,plain,
% 152.97/153.32 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.97/153.32 | c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X3,X4),X4) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5263]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1112,plain,
% 152.97/153.32 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.97/153.32 | c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2702_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5259,plain,
% 152.97/153.32 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.97/153.32 | c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1112]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5260,plain,
% 152.97/153.32 ( c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)
% 152.97/153.32 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5259]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1093,plain,
% 152.97/153.32 ( X0 = X1
% 152.97/153.32 | 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) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2707_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5221,plain,
% 152.97/153.32 ( X0 = X1
% 152.97/153.32 | 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) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1093]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5222,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | X1 = X4 ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5221]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1091,plain,
% 152.97/153.32 ( X0 = X1
% 152.97/153.32 | 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) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2708_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5217,plain,
% 152.97/153.32 ( X0 = X1
% 152.97/153.32 | 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) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1091]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5218,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | X0 = X3 ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5217]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1086,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.97/153.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.97/153.32 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2709_4) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5207,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.97/153.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.97/153.32 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1086]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5208,plain,
% 152.97/153.32 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.97/153.32 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.97/153.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5207]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1084,plain,
% 152.97/153.32 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.97/153.32 | c_List_Olist_OCons(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(X0,c_List_Olist_OCons(X1,X2,X3),X3) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2710_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5203,plain,
% 152.97/153.32 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.97/153.32 | c_List_Olist_OCons(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(X0,c_List_Olist_OCons(X1,X2,X3),X3) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1084]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5204,plain,
% 152.97/153.32 ( c_List_Olist_OCons(X0,c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(X1,c_List_Olist_OCons(X0,X2,X3),X3)
% 152.97/153.32 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5203]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1082,plain,
% 152.97/153.32 ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,X1,hAPP(X0,X2),X3) = c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_Suc(X1),X2,X3)
% 152.97/153.32 | ~ class_Ring__and__Field_Osemiring__1(X3) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2711_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5199,plain,
% 152.97/153.32 ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,X1,hAPP(X0,X2),X3) = c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_Suc(X1),X2,X3)
% 152.97/153.32 | ~ class_Ring__and__Field_Osemiring__1(X3) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1082]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5200,plain,
% 152.97/153.32 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.97/153.32 | c_Nat_Osemiring__1__class_Oof__nat__aux(X1,X2,hAPP(X1,X3),X0) = c_Nat_Osemiring__1__class_Oof__nat__aux(X1,c_Suc(X2),X3,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5199]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1080,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2712_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5195,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1080]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5196,plain,
% 152.97/153.32 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.97/153.32 | 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) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5195]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1076,plain,
% 152.97/153.32 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.97/153.32 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 152.97/153.32 | ~ c_lessequals(X4,X3,X1)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2714_3) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5187,plain,
% 152.97/153.32 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.97/153.32 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 152.97/153.32 | ~ c_lessequals(X4,X3,X1)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1076]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5188,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.97/153.32 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 152.97/153.32 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4),X0)
% 152.97/153.32 | ~ c_lessequals(X4,X3,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5187]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1073,plain,
% 152.97/153.32 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 152.97/153.32 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2715_2) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5181,plain,
% 152.97/153.32 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 152.97/153.32 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1073]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1070,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.97/153.32 | ~ 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)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2718_2) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5175,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.97/153.32 | ~ 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)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1070]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5176,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.97/153.32 | ~ 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)
% 152.97/153.32 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5175]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1067,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.97/153.32 | ~ 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)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2719_2) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5169,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.97/153.32 | ~ 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)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1067]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5170,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.97/153.32 | ~ 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)
% 152.97/153.32 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5169]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1064,plain,
% 152.97/153.32 ( c_lessequals(X0,X1,X2)
% 152.97/153.32 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2720_2) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5163,plain,
% 152.97/153.32 ( c_lessequals(X0,X1,X2)
% 152.97/153.32 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1064]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5164,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.97/153.32 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.97/153.32 | c_lessequals(X1,X3,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5163]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1061,plain,
% 152.97/153.32 ( c_lessequals(X0,X1,X2)
% 152.97/153.32 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2721_2) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5157,plain,
% 152.97/153.32 ( c_lessequals(X0,X1,X2)
% 152.97/153.32 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1061]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5158,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.97/153.32 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.97/153.32 | c_lessequals(X2,X3,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5157]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1053,plain,
% 152.97/153.32 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 152.97/153.32 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2723_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5141,plain,
% 152.97/153.32 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 152.97/153.32 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1053]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1049,plain,
% 152.97/153.32 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.97/153.32 | ~ c_lessequals(X0,X3,X2)
% 152.97/153.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.97/153.32 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2724_3) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5133,plain,
% 152.97/153.32 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.97/153.32 | ~ c_lessequals(X0,X3,X2)
% 152.97/153.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.97/153.32 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1049]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5134,plain,
% 152.97/153.32 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.97/153.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.32 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 152.97/153.32 | ~ c_lessequals(X1,X3,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5133]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1041,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 152.97/153.32 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2726_3) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5117,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 152.97/153.32 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1041]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5118,plain,
% 152.97/153.32 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.97/153.32 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5117]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1039,plain,
% 152.97/153.32 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X0)),c_Lambda_OdB_OAbs(X1)))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X1)) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2727_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5113,plain,
% 152.97/153.32 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X0)),c_Lambda_OdB_OAbs(X1)))
% 152.97/153.32 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X1)) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1039]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1035,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2728_3) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5105,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1035]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5106,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.97/153.32 | 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5105]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1031,plain,
% 152.97/153.32 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.97/153.32 | ~ c_lessequals(X1,X3,X0)
% 152.97/153.32 | ~ c_lessequals(X2,X4,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2729_3) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5097,plain,
% 152.97/153.32 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.97/153.32 | ~ c_lessequals(X1,X3,X0)
% 152.97/153.32 | ~ c_lessequals(X2,X4,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1031]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5098,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 152.97/153.32 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.97/153.32 | ~ c_lessequals(X1,X3,X0)
% 152.97/153.32 | ~ c_lessequals(X2,X4,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5097]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1023,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.97/153.32 | ~ c_lessequals(X2,X4,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2731_3) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5081,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.97/153.32 | ~ c_lessequals(X2,X4,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1023]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5082,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.97/153.32 | 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.97/153.32 | ~ c_lessequals(X2,X4,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5081]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1020,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2733_2) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5075,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1020]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1018,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.32 | ~ 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) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2734_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5071,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.97/153.32 | ~ 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) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1018]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5072,plain,
% 152.97/153.32 ( ~ 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)
% 152.97/153.32 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5071]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1012,plain,
% 152.97/153.32 ( 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))
% 152.97/153.32 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2737_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5059,plain,
% 152.97/153.32 ( 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))
% 152.97/153.32 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1012]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5060,plain,
% 152.97/153.32 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.97/153.32 | 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)) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5059]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1010,plain,
% 152.97/153.32 ( 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))
% 152.97/153.32 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2738_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5055,plain,
% 152.97/153.32 ( 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))
% 152.97/153.32 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1010]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5056,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.97/153.32 | 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)) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5055]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1008,plain,
% 152.97/153.32 ( 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))
% 152.97/153.32 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2739_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5051,plain,
% 152.97/153.32 ( 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))
% 152.97/153.32 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1008]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5052,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 152.97/153.32 | 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)) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5051]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1005,plain,
% 152.97/153.32 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 152.97/153.32 | ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3))
% 152.97/153.32 | ~ c_Type_Otyping(X0,X2,X4) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2741_2) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5045,plain,
% 152.97/153.32 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 152.97/153.32 | ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3))
% 152.97/153.32 | ~ c_Type_Otyping(X0,X2,X4) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1005]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_1002,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2742_2) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5039,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_1002]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_998,plain,
% 152.97/153.32 ( X0 = c_List_Olist_ONil(X1)
% 152.97/153.32 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2744_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5031,plain,
% 152.97/153.32 ( X0 = c_List_Olist_ONil(X1)
% 152.97/153.32 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_998]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5032,plain,
% 152.97/153.32 ( c_List_Omap(X0,X1,X2,X3) != c_List_Olist_ONil(X3)
% 152.97/153.32 | X1 = c_List_Olist_ONil(X2) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5031]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_996,plain,
% 152.97/153.32 ( X0 = c_List_Olist_ONil(X1)
% 152.97/153.32 | c_List_Olist__update(X0,X2,X3,X1) != c_List_Olist_ONil(X1) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2745_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5027,plain,
% 152.97/153.32 ( X0 = c_List_Olist_ONil(X1)
% 152.97/153.32 | c_List_Olist__update(X0,X2,X3,X1) != c_List_Olist_ONil(X1) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_996]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5028,plain,
% 152.97/153.32 ( c_List_Olist__update(X0,X1,X2,X3) != c_List_Olist_ONil(X3)
% 152.97/153.32 | X0 = c_List_Olist_ONil(X3) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5027]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_986,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2750_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5007,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_986]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_983,plain,
% 152.97/153.32 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 152.97/153.32 | 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)
% 152.97/153.32 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2752_2) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5001,plain,
% 152.97/153.32 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 152.97/153.32 | 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)
% 152.97/153.32 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_983]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_5002,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.97/153.32 | 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)
% 152.97/153.32 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_5001]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_981,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2753_1) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4997,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_981]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4998,plain,
% 152.97/153.32 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 152.97/153.32 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_4997]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_973,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2760_3) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4981,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_973]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4982,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_4981]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_969,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2761_3) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4973,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_969]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4974,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.32 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_4973]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_965,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2762_3) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4965,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_965]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4966,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.32 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_4965]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_953,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2765_3) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4941,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_953]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4942,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.32 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_4941]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_949,plain,
% 152.97/153.32 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2766_3) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4933,plain,
% 152.97/153.32 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_949]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4934,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.32 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.97/153.32 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_4933]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_945,plain,
% 152.97/153.32 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.97/153.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2767_3) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4925,plain,
% 152.97/153.32 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.97/153.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_945]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4926,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.97/153.32 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.97/153.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.97/153.32 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_4925]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_941,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 152.97/153.32 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2768_3) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4917,plain,
% 152.97/153.32 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 152.97/153.32 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_941]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4918,plain,
% 152.97/153.32 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.97/153.32 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_4917]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_918,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2773_2) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4871,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_918]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4872,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.97/153.32 | 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_4871]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_915,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2774_2) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4865,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_915]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4866,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.97/153.32 | 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_4865]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_912,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2775_2) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4859,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_912]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4860,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.97/153.32 | 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_4859]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_909,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.97/153.32 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2776_2) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4853,plain,
% 152.97/153.32 ( 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.97/153.32 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.97/153.32 inference(copy,[status(esa)],[c_909]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_4854,plain,
% 152.97/153.32 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.97/153.32 | 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)
% 152.97/153.32 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.97/153.32 inference(rewriting,[status(thm)],[c_4853]) ).
% 152.97/153.32
% 152.97/153.32 cnf(c_906,plain,
% 152.97/153.32 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.97/153.33 | ~ c_lessequals(X1,X3,X0)
% 152.97/153.33 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.97/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2777_2) ).
% 152.97/153.33
% 152.97/153.33 cnf(c_4847,plain,
% 152.97/153.33 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.97/153.33 | ~ c_lessequals(X1,X3,X0)
% 152.97/153.33 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.97/153.33 inference(copy,[status(esa)],[c_906]) ).
% 152.97/153.33
% 152.97/153.33 cnf(c_4848,plain,
% 152.97/153.33 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.97/153.33 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.97/153.33 | ~ c_lessequals(X1,X3,X0) ),
% 152.97/153.33 inference(rewriting,[status(thm)],[c_4847]) ).
% 152.97/153.33
% 152.97/153.33 cnf(c_903,plain,
% 152.97/153.33 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.97/153.33 | ~ c_lessequals(X2,X3,X0)
% 152.97/153.33 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.97/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2778_2) ).
% 152.97/153.33
% 152.97/153.33 cnf(c_4841,plain,
% 152.97/153.33 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.97/153.33 | ~ c_lessequals(X2,X3,X0)
% 152.97/153.33 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.97/153.33 inference(copy,[status(esa)],[c_903]) ).
% 152.97/153.33
% 152.97/153.33 cnf(c_4842,plain,
% 152.97/153.33 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.97/153.33 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.97/153.33 | ~ c_lessequals(X2,X3,X0) ),
% 152.97/153.33 inference(rewriting,[status(thm)],[c_4841]) ).
% 152.97/153.33
% 152.97/153.33 cnf(c_900,plain,
% 152.97/153.33 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.97/153.33 | ~ c_lessequals(X1,X3,X0)
% 152.97/153.33 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 152.97/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2779_2) ).
% 152.97/153.33
% 152.97/153.33 cnf(c_4835,plain,
% 152.97/153.33 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.97/153.33 | ~ c_lessequals(X1,X3,X0)
% 152.97/153.33 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 152.97/153.33 inference(copy,[status(esa)],[c_900]) ).
% 152.97/153.33
% 152.97/153.33 cnf(c_4836,plain,
% 152.97/153.33 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 152.97/153.33 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.97/153.33 | ~ c_lessequals(X1,X3,X0) ),
% 152.97/153.33 inference(rewriting,[status(thm)],[c_4835]) ).
% 152.97/153.33
% 152.97/153.33 cnf(c_897,plain,
% 152.97/153.33 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.97/153.33 | ~ c_lessequals(X2,X3,X0)
% 152.97/153.33 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 152.97/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2780_2) ).
% 152.97/153.33
% 152.97/153.33 cnf(c_4829,plain,
% 152.97/153.33 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.97/153.33 | ~ c_lessequals(X2,X3,X0)
% 152.97/153.33 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 152.97/153.33 inference(copy,[status(esa)],[c_897]) ).
% 152.97/153.33
% 152.97/153.33 cnf(c_4830,plain,
% 152.97/153.33 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 152.97/153.33 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.97/153.33 | ~ c_lessequals(X2,X3,X0) ),
% 152.97/153.33 inference(rewriting,[status(thm)],[c_4829]) ).
% 152.97/153.33
% 152.97/153.33 cnf(c_893,plain,
% 152.97/153.33 ( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 152.97/153.33 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 152.97/153.33 | ~ class_Int_Onumber(X1)
% 152.97/153.33 | ~ class_Orderings_Olinorder(X1) ),
% 152.97/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2781_3) ).
% 152.97/153.33
% 152.97/153.33 cnf(c_4821,plain,
% 152.97/153.33 ( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 152.97/153.33 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 152.97/153.33 | ~ class_Int_Onumber(X1)
% 152.97/153.33 | ~ class_Orderings_Olinorder(X1) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_893]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4822,plain,
% 153.09/153.33 ( ~ class_Orderings_Olinorder(X0)
% 153.09/153.33 | ~ class_Int_Onumber(X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 153.09/153.33 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4821]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_888,plain,
% 153.09/153.33 ( ~ 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)
% 153.09/153.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.09/153.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2783_0) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4811,plain,
% 153.09/153.33 ( ~ 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)
% 153.09/153.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.09/153.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_888]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_886,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.09/153.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.09/153.33 | ~ 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) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2783_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4807,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.09/153.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.09/153.33 | ~ 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) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_886]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4808,plain,
% 153.09/153.33 ( ~ 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)
% 153.09/153.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.09/153.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4807]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_884,plain,
% 153.09/153.33 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 153.09/153.33 | ~ c_OrderedGroup_Osemigroup__add(X0,X4) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2784_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4803,plain,
% 153.09/153.33 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 153.09/153.33 | ~ c_OrderedGroup_Osemigroup__add(X0,X4) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_884]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4804,plain,
% 153.09/153.33 ( ~ c_OrderedGroup_Osemigroup__add(X0,X1)
% 153.09/153.33 | hAPP(hAPP(X0,hAPP(hAPP(X0,X2),X3)),X4) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X3),X4)) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4803]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_882,plain,
% 153.09/153.33 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.09/153.33 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2785_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4799,plain,
% 153.09/153.33 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.09/153.33 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_882]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4800,plain,
% 153.09/153.33 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.09/153.33 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4799]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_878,plain,
% 153.09/153.33 ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 153.09/153.33 | ~ c_List_Olistsp(X0,X1,X3)
% 153.09/153.33 | ~ c_List_Olistsp(X0,X2,X3) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2786_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4791,plain,
% 153.09/153.33 ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 153.09/153.33 | ~ c_List_Olistsp(X0,X1,X3)
% 153.09/153.33 | ~ c_List_Olistsp(X0,X2,X3) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_878]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_875,plain,
% 153.09/153.33 ( c_lessequals(X0,X1,X2)
% 153.09/153.33 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.09/153.33 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2789_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4785,plain,
% 153.09/153.33 ( c_lessequals(X0,X1,X2)
% 153.09/153.33 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.09/153.33 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_875]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4786,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.09/153.33 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | c_lessequals(X1,X2,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4785]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_872,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.09/153.33 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2790_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4779,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.09/153.33 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_872]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4780,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4779]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_869,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.09/153.33 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2791_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4773,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.09/153.33 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_869]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4774,plain,
% 153.09/153.33 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4773]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_866,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.09/153.33 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2792_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4767,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.09/153.33 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_866]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4768,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4767]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_863,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.09/153.33 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2793_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4761,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.09/153.33 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_863]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4762,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4761]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_860,plain,
% 153.09/153.33 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.09/153.33 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.09/153.33 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2794_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4755,plain,
% 153.09/153.33 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 153.09/153.33 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.09/153.33 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_860]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4756,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.09/153.33 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4755]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_857,plain,
% 153.09/153.33 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.09/153.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.09/153.33 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2795_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4749,plain,
% 153.09/153.33 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.09/153.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.09/153.33 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_857]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4750,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.09/153.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.09/153.33 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4749]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_853,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 153.09/153.33 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 153.09/153.33 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2804_3) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4741,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 153.09/153.33 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 153.09/153.33 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_853]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4742,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 153.09/153.33 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4741]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_849,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 153.09/153.33 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 153.09/153.33 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2805_3) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4733,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 153.09/153.33 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 153.09/153.33 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_849]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4734,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 153.09/153.33 | c_HOL_Ominus__class_Ominus(X3,X4,X0) != c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4733]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_845,plain,
% 153.09/153.33 ( c_lessequals(X0,X1,X2)
% 153.09/153.33 | ~ c_lessequals(X3,X4,X2)
% 153.09/153.33 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 153.09/153.33 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2806_3) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4725,plain,
% 153.09/153.33 ( c_lessequals(X0,X1,X2)
% 153.09/153.33 | ~ c_lessequals(X3,X4,X2)
% 153.09/153.33 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 153.09/153.33 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_845]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4726,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.09/153.33 | c_lessequals(X1,X2,X0)
% 153.09/153.33 | ~ c_lessequals(X3,X4,X0)
% 153.09/153.33 | c_HOL_Ominus__class_Ominus(X2,X1,X0) != c_HOL_Ominus__class_Ominus(X4,X3,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4725]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_841,plain,
% 153.09/153.33 ( c_lessequals(X0,X1,X2)
% 153.09/153.33 | ~ c_lessequals(X3,X4,X2)
% 153.09/153.33 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 153.09/153.33 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2807_3) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4717,plain,
% 153.09/153.33 ( c_lessequals(X0,X1,X2)
% 153.09/153.33 | ~ c_lessequals(X3,X4,X2)
% 153.09/153.33 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 153.09/153.33 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_841]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4718,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.09/153.33 | c_lessequals(X1,X2,X0)
% 153.09/153.33 | ~ c_lessequals(X3,X4,X0)
% 153.09/153.33 | c_HOL_Ominus__class_Ominus(X4,X3,X0) != c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4717]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_839,plain,
% 153.09/153.33 ( 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)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2809_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4713,plain,
% 153.09/153.33 ( 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)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_839]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_837,plain,
% 153.09/153.33 ( 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)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2810_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4709,plain,
% 153.09/153.33 ( 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)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_837]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_835,plain,
% 153.09/153.33 ( 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))
% 153.09/153.33 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2811_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4705,plain,
% 153.09/153.33 ( 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))
% 153.09/153.33 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_835]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4706,plain,
% 153.09/153.33 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.09/153.33 | 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)) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4705]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_833,plain,
% 153.09/153.33 ( 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))
% 153.09/153.33 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2812_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4701,plain,
% 153.09/153.33 ( 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))
% 153.09/153.33 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_833]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4702,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.09/153.33 | 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)) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4701]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_831,plain,
% 153.09/153.33 ( 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))
% 153.09/153.33 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2813_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4697,plain,
% 153.09/153.33 ( 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))
% 153.09/153.33 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_831]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4698,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.09/153.33 | 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)) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4697]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_829,plain,
% 153.09/153.33 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 153.09/153.33 | ~ hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2814_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4693,plain,
% 153.09/153.33 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 153.09/153.33 | ~ hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_829]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_827,plain,
% 153.09/153.33 ( c_List_Olistsp(X0,X1,X2)
% 153.09/153.33 | ~ c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2817_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4689,plain,
% 153.09/153.33 ( c_List_Olistsp(X0,X1,X2)
% 153.09/153.33 | ~ c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_827]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4690,plain,
% 153.09/153.33 ( ~ c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 153.09/153.33 | c_List_Olistsp(X0,X2,X3) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4689]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_825,plain,
% 153.09/153.33 ( c_List_Olistsp(X0,X1,X2)
% 153.09/153.33 | ~ c_List_Olistsp(X0,c_List_Oappend(X1,X3,X2),X2) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2818_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4685,plain,
% 153.09/153.33 ( c_List_Olistsp(X0,X1,X2)
% 153.09/153.33 | ~ c_List_Olistsp(X0,c_List_Oappend(X1,X3,X2),X2) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_825]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4686,plain,
% 153.09/153.33 ( ~ c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 153.09/153.33 | c_List_Olistsp(X0,X1,X3) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4685]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_821,plain,
% 153.09/153.33 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2820_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4677,plain,
% 153.09/153.33 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_821]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4678,plain,
% 153.09/153.33 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.33 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4677]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_819,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2821_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4673,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_819]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4674,plain,
% 153.09/153.33 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4673]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_817,plain,
% 153.09/153.33 ( c_Suc(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Int_Onumber__class_Onumber__of(X0,tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2823_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4669,plain,
% 153.09/153.33 ( c_Suc(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Int_Onumber__class_Onumber__of(X0,tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_817]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4670,plain,
% 153.09/153.33 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 153.09/153.33 | c_Suc(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Int_Onumber__class_Onumber__of(X0,tc_nat) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4669]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_803,plain,
% 153.09/153.33 ( 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)
% 153.09/153.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2826_3) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4641,plain,
% 153.09/153.33 ( 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)
% 153.09/153.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_803]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4642,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 153.09/153.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | 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) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4641]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_800,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.09/153.33 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2829_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4635,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.09/153.33 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_800]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4636,plain,
% 153.09/153.33 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4635]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_797,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 153.09/153.33 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2830_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4629,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 153.09/153.33 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_797]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_795,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2831_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4625,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_795]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4626,plain,
% 153.09/153.33 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4625]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_789,plain,
% 153.09/153.33 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 153.09/153.33 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2833_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4613,plain,
% 153.09/153.33 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 153.09/153.33 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_789]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4614,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 153.09/153.33 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4613]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_786,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.09/153.33 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2835_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4607,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.09/153.33 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_786]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4608,plain,
% 153.09/153.33 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4607]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_783,plain,
% 153.09/153.33 ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.09/153.33 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.09/153.33 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2836_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4601,plain,
% 153.09/153.33 ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.09/153.33 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 153.09/153.33 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_783]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4602,plain,
% 153.09/153.33 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.09/153.33 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.09/153.33 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4601]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_780,plain,
% 153.09/153.33 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.09/153.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.09/153.33 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2837_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4595,plain,
% 153.09/153.33 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.09/153.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.09/153.33 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_780]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4596,plain,
% 153.09/153.33 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.09/153.33 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 153.09/153.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4595]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_777,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2838_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4589,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_777]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4590,plain,
% 153.09/153.33 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4589]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_774,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.09/153.33 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2839_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4583,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.09/153.33 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_774]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4584,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4583]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_771,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2840_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4577,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_771]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4578,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4577]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_768,plain,
% 153.09/153.33 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2841_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4571,plain,
% 153.09/153.33 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_768]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4572,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.09/153.33 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4571]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_765,plain,
% 153.09/153.33 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.09/153.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.09/153.33 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2842_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4565,plain,
% 153.09/153.33 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.09/153.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 153.09/153.33 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_765]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4566,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.09/153.33 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 153.09/153.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4565]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_762,plain,
% 153.09/153.33 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.09/153.33 | ~ c_lessequals(X0,X1,X2)
% 153.09/153.33 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2843_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4559,plain,
% 153.09/153.33 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.09/153.33 | ~ c_lessequals(X0,X1,X2)
% 153.09/153.33 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_762]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4560,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.09/153.33 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | ~ c_lessequals(X1,X2,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4559]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_759,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.33 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2844_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4553,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.33 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_759]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4554,plain,
% 153.09/153.33 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4553]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_758,plain,
% 153.09/153.33 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1))
% 153.09/153.33 | ~ c_Type_Otyping(X2,X0,X3)
% 153.09/153.33 | c_Type_Otyping(X2,X1,X3) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2845_0) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4551,plain,
% 153.09/153.33 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1))
% 153.09/153.33 | ~ c_Type_Otyping(X2,X0,X3)
% 153.09/153.33 | c_Type_Otyping(X2,X1,X3) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_758]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_756,plain,
% 153.09/153.33 ( c_Type_Otyping(X0,X1,X2)
% 153.09/153.33 | ~ c_Type_Otyping(X0,X3,X2)
% 153.09/153.33 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X3),X1)) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2845_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4547,plain,
% 153.09/153.33 ( c_Type_Otyping(X0,X1,X2)
% 153.09/153.33 | ~ c_Type_Otyping(X0,X3,X2)
% 153.09/153.33 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X3),X1)) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_756]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4548,plain,
% 153.09/153.33 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1))
% 153.09/153.33 | c_Type_Otyping(X2,X1,X3)
% 153.09/153.33 | ~ c_Type_Otyping(X2,X0,X3) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4547]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_754,plain,
% 153.09/153.33 ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = X1
% 153.09/153.33 | ~ class_Ring__and__Field_Osemiring__1(X2) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2846_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4543,plain,
% 153.09/153.33 ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = X1
% 153.09/153.33 | ~ class_Ring__and__Field_Osemiring__1(X2) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_754]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4544,plain,
% 153.09/153.33 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 153.09/153.33 | c_Nat_Osemiring__1__class_Oof__nat__aux(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2,X0) = X2 ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4543]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_752,plain,
% 153.09/153.33 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2847_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4539,plain,
% 153.09/153.33 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_752]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4540,plain,
% 153.09/153.33 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.33 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4539]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_750,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2848_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4535,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_750]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4536,plain,
% 153.09/153.33 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.09/153.33 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4535]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_748,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2854_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4531,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_748]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_746,plain,
% 153.09/153.33 ( 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)
% 153.09/153.33 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2855_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4527,plain,
% 153.09/153.33 ( 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)
% 153.09/153.33 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_746]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4528,plain,
% 153.09/153.33 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 153.09/153.33 | 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) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4527]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_744,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2856_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4523,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_744]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_742,plain,
% 153.09/153.33 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 153.09/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2860_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4519,plain,
% 153.09/153.33 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 153.09/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_742]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_740,plain,
% 153.09/153.33 ( 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)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2861_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4515,plain,
% 153.09/153.33 ( 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)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_740]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_738,plain,
% 153.09/153.33 ( 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)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2862_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4511,plain,
% 153.09/153.33 ( 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)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_738]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_737,plain,
% 153.09/153.33 ( ~ class_Orderings_Opreorder(X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2863_0) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4509,plain,
% 153.09/153.33 ( ~ class_Orderings_Opreorder(X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_737]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_736,plain,
% 153.09/153.33 ( ~ class_Orderings_Opreorder(X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2863_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4507,plain,
% 153.09/153.33 ( ~ class_Orderings_Opreorder(X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_736]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_734,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.09/153.33 | ~ class_Orderings_Opreorder(X2) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2863_3) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4503,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.09/153.33 | ~ class_Orderings_Opreorder(X2) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_734]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4504,plain,
% 153.09/153.33 ( ~ class_Orderings_Opreorder(X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4503]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_733,plain,
% 153.09/153.33 ( ~ class_Orderings_Oorder(X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2864_0) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4501,plain,
% 153.09/153.33 ( ~ class_Orderings_Oorder(X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_733]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_732,plain,
% 153.09/153.33 ( ~ class_Orderings_Oorder(X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2864_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4499,plain,
% 153.09/153.33 ( ~ class_Orderings_Oorder(X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_732]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_730,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.09/153.33 | ~ class_Orderings_Oorder(X2) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2864_3) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4495,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.09/153.33 | ~ class_Orderings_Oorder(X2) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_730]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4496,plain,
% 153.09/153.33 ( ~ class_Orderings_Oorder(X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4495]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_726,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.09/153.33 | ~ c_lessequals(X3,X1,X2)
% 153.09/153.33 | ~ class_Orderings_Opreorder(X2) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2865_3) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4487,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 153.09/153.33 | ~ c_lessequals(X3,X1,X2)
% 153.09/153.33 | ~ class_Orderings_Opreorder(X2) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_726]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4488,plain,
% 153.09/153.33 ( ~ class_Orderings_Opreorder(X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.09/153.33 | ~ c_lessequals(X3,X2,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4487]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_724,plain,
% 153.09/153.33 ( ~ class_Orderings_Opreorder(X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.09/153.33 | ~ c_lessequals(X3,X1,X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2866_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4483,plain,
% 153.09/153.33 ( ~ class_Orderings_Opreorder(X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.09/153.33 | ~ c_lessequals(X3,X1,X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_724]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_721,plain,
% 153.09/153.33 ( ~ class_Orderings_Opreorder(X0)
% 153.09/153.33 | ~ c_lessequals(X1,X2,X0)
% 153.09/153.33 | ~ c_lessequals(X3,X1,X0)
% 153.09/153.33 | c_lessequals(X3,X2,X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2867_0) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4477,plain,
% 153.09/153.33 ( ~ class_Orderings_Opreorder(X0)
% 153.09/153.33 | ~ c_lessequals(X1,X2,X0)
% 153.09/153.33 | ~ c_lessequals(X3,X1,X0)
% 153.09/153.33 | c_lessequals(X3,X2,X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_721]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_720,plain,
% 153.09/153.33 ( ~ class_Orderings_Opreorder(X0)
% 153.09/153.33 | ~ c_lessequals(X1,X2,X0)
% 153.09/153.33 | c_lessequals(X3,X2,X0)
% 153.09/153.33 | ~ c_lessequals(X3,X1,X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2867_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4475,plain,
% 153.09/153.33 ( ~ class_Orderings_Opreorder(X0)
% 153.09/153.33 | ~ c_lessequals(X1,X2,X0)
% 153.09/153.33 | c_lessequals(X3,X2,X0)
% 153.09/153.33 | ~ c_lessequals(X3,X1,X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_720]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_718,plain,
% 153.09/153.33 ( c_lessequals(X0,X1,X2)
% 153.09/153.33 | ~ c_lessequals(X0,X3,X2)
% 153.09/153.33 | ~ c_lessequals(X3,X1,X2)
% 153.09/153.33 | ~ class_Orderings_Opreorder(X2) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2867_3) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4471,plain,
% 153.09/153.33 ( c_lessequals(X0,X1,X2)
% 153.09/153.33 | ~ c_lessequals(X0,X3,X2)
% 153.09/153.33 | ~ c_lessequals(X3,X1,X2)
% 153.09/153.33 | ~ class_Orderings_Opreorder(X2) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_718]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4472,plain,
% 153.09/153.33 ( ~ class_Orderings_Opreorder(X0)
% 153.09/153.33 | c_lessequals(X1,X2,X0)
% 153.09/153.33 | ~ c_lessequals(X1,X3,X0)
% 153.09/153.33 | ~ c_lessequals(X3,X2,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4471]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_716,plain,
% 153.09/153.33 ( ~ class_Orderings_Oorder(X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.09/153.33 | ~ c_lessequals(X2,X3,X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2868_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4467,plain,
% 153.09/153.33 ( ~ class_Orderings_Oorder(X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 153.09/153.33 | ~ c_lessequals(X2,X3,X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_716]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_710,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.09/153.33 | ~ c_lessequals(X0,X3,X2)
% 153.09/153.33 | ~ class_Orderings_Oorder(X2) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2869_3) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4455,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 153.09/153.33 | ~ c_lessequals(X0,X3,X2)
% 153.09/153.33 | ~ class_Orderings_Oorder(X2) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_710]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4456,plain,
% 153.09/153.33 ( ~ class_Orderings_Oorder(X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 153.09/153.33 | ~ c_lessequals(X1,X3,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4455]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_709,plain,
% 153.09/153.33 ( ~ class_Orderings_Oorder(X0)
% 153.09/153.33 | ~ c_lessequals(X1,X2,X0)
% 153.09/153.33 | ~ c_lessequals(X2,X3,X0)
% 153.09/153.33 | c_lessequals(X1,X3,X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2870_0) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4453,plain,
% 153.09/153.33 ( ~ class_Orderings_Oorder(X0)
% 153.09/153.33 | ~ c_lessequals(X1,X2,X0)
% 153.09/153.33 | ~ c_lessequals(X2,X3,X0)
% 153.09/153.33 | c_lessequals(X1,X3,X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_709]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_708,plain,
% 153.09/153.33 ( ~ class_Orderings_Oorder(X0)
% 153.09/153.33 | ~ c_lessequals(X1,X2,X0)
% 153.09/153.33 | c_lessequals(X1,X3,X0)
% 153.09/153.33 | ~ c_lessequals(X2,X3,X0) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2870_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4451,plain,
% 153.09/153.33 ( ~ class_Orderings_Oorder(X0)
% 153.09/153.33 | ~ c_lessequals(X1,X2,X0)
% 153.09/153.33 | c_lessequals(X1,X3,X0)
% 153.09/153.33 | ~ c_lessequals(X2,X3,X0) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_708]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_706,plain,
% 153.09/153.33 ( c_lessequals(X0,X1,X2)
% 153.09/153.33 | ~ c_lessequals(X3,X1,X2)
% 153.09/153.33 | ~ c_lessequals(X0,X3,X2)
% 153.09/153.33 | ~ class_Orderings_Oorder(X2) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2870_3) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4447,plain,
% 153.09/153.33 ( c_lessequals(X0,X1,X2)
% 153.09/153.33 | ~ c_lessequals(X3,X1,X2)
% 153.09/153.33 | ~ c_lessequals(X0,X3,X2)
% 153.09/153.33 | ~ class_Orderings_Oorder(X2) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_706]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4448,plain,
% 153.09/153.33 ( ~ class_Orderings_Oorder(X0)
% 153.09/153.33 | c_lessequals(X1,X2,X0)
% 153.09/153.33 | ~ c_lessequals(X3,X2,X0)
% 153.09/153.33 | ~ c_lessequals(X1,X3,X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4447]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_704,plain,
% 153.09/153.33 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X0)),c_Lambda_OdB_OAbs(X1)))
% 153.09/153.33 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1)) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2871_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4443,plain,
% 153.09/153.33 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X0)),c_Lambda_OdB_OAbs(X1)))
% 153.09/153.33 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1)) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_704]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_701,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 153.09/153.33 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2872_2) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4437,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 153.09/153.33 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_701]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4438,plain,
% 153.09/153.33 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4437]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_697,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 153.09/153.33 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 153.09/153.33 | ~ class_Int_Onumber(X1)
% 153.09/153.33 | ~ class_Orderings_Olinorder(X1) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2873_3) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4429,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 153.09/153.33 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 153.09/153.33 | ~ class_Int_Onumber(X1)
% 153.09/153.33 | ~ class_Orderings_Olinorder(X1) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_697]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4430,plain,
% 153.09/153.33 ( ~ class_Orderings_Olinorder(X0)
% 153.09/153.33 | ~ class_Int_Onumber(X0)
% 153.09/153.33 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 153.09/153.33 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 153.09/153.33 inference(rewriting,[status(thm)],[c_4429]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_691,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2876_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4417,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_691]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_689,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.09/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2877_1) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_4413,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 153.09/153.33 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.09/153.33 inference(copy,[status(esa)],[c_689]) ).
% 153.09/153.33
% 153.09/153.33 cnf(c_686,plain,
% 153.09/153.33 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2878_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4407,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_686]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_684,plain,
% 153.09/153.34 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2882_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4403,plain,
% 153.09/153.34 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_684]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4404,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.09/153.34 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4403]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_682,plain,
% 153.09/153.34 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 153.09/153.34 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2886_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4399,plain,
% 153.09/153.34 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 153.09/153.34 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_682]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_680,plain,
% 153.09/153.34 ( c_List_Otake(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil(X3)
% 153.09/153.34 | c_Int_Onumber__class_Onumber__of(X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2887_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4395,plain,
% 153.09/153.34 ( c_List_Otake(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil(X3)
% 153.09/153.34 | c_Int_Onumber__class_Onumber__of(X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_680]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_678,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2888_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4391,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_678]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_676,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0)
% 153.09/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2889_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4387,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0)
% 153.09/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_676]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4388,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.09/153.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4387]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_674,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2890_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4383,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 153.09/153.34 inference(copy,[status(esa)],[c_674]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_670,plain,
% 153.09/153.34 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2892_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4375,plain,
% 153.09/153.34 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_670]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4376,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.09/153.34 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4375]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_664,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2894_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4363,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Oone__class_Oone(tc_nat))) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_664]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_661,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 153.09/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2895_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4357,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 153.09/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_661]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4358,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.09/153.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4357]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_659,plain,
% 153.09/153.34 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2896_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4353,plain,
% 153.09/153.34 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_659]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4354,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X2),X1) = c_Lambda_OdB_OVar(X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4353]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_656,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.09/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2897_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4347,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 153.09/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_656]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4348,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.09/153.34 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4347]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_654,plain,
% 153.09/153.34 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.09/153.34 | X2 = X1 ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2898_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4343,plain,
% 153.09/153.34 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 153.09/153.34 | X2 = X1 ),
% 153.09/153.34 inference(copy,[status(esa)],[c_654]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_649,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.09/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2901_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4333,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.09/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_649]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4334,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 153.09/153.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4333]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_637,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | ~ c_lessequals(X1,X0,X2)
% 153.09/153.34 | ~ c_lessequals(X0,X1,X2)
% 153.09/153.34 | ~ class_Orderings_Oorder(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2904_3) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4309,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | ~ c_lessequals(X1,X0,X2)
% 153.09/153.34 | ~ c_lessequals(X0,X1,X2)
% 153.09/153.34 | ~ class_Orderings_Oorder(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_637]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4310,plain,
% 153.09/153.34 ( ~ class_Orderings_Oorder(X0)
% 153.09/153.34 | ~ c_lessequals(X1,X2,X0)
% 153.09/153.34 | ~ c_lessequals(X2,X1,X0)
% 153.09/153.34 | X2 = X1 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4309]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_639,plain,
% 153.09/153.34 ( ~ class_Orderings_Oorder(X0)
% 153.09/153.34 | ~ c_lessequals(X1,X2,X0)
% 153.09/153.34 | X1 = X2
% 153.09/153.34 | ~ c_lessequals(X2,X1,X0) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2904_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4313,plain,
% 153.09/153.34 ( ~ class_Orderings_Oorder(X0)
% 153.09/153.34 | ~ c_lessequals(X1,X2,X0)
% 153.09/153.34 | X1 = X2
% 153.09/153.34 | ~ c_lessequals(X2,X1,X0) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_639]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4314,plain,
% 153.09/153.34 ( ~ class_Orderings_Oorder(X0)
% 153.09/153.34 | ~ c_lessequals(X1,X2,X0)
% 153.09/153.34 | ~ c_lessequals(X2,X1,X0)
% 153.09/153.34 | X1 = X2 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4313]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_633,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.09/153.34 | ~ class_Int_Onumber__ring(X2)
% 153.09/153.34 | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2905_3) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4301,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.09/153.34 | ~ class_Int_Onumber__ring(X2)
% 153.09/153.34 | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_633]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4302,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Oidom(X0)
% 153.09/153.34 | ~ class_Int_Onumber__ring(X0)
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 153.09/153.34 | X2 = X3 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4301]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_630,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 153.09/153.34 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2906_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4295,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 153.09/153.34 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_630]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4296,plain,
% 153.09/153.34 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.09/153.34 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 153.09/153.34 | X2 = X3 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4295]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_627,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 153.09/153.34 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2907_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4289,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 153.09/153.34 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_627]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4290,plain,
% 153.09/153.34 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.09/153.34 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 153.09/153.34 | X1 = X2 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4289]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_617,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.09/153.34 | ~ class_Orderings_Opreorder(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2910_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4269,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.09/153.34 | ~ class_Orderings_Opreorder(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_617]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4270,plain,
% 153.09/153.34 ( ~ class_Orderings_Opreorder(X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4269]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_614,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.09/153.34 | ~ class_Orderings_Olinorder(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2911_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4263,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.09/153.34 | ~ class_Orderings_Olinorder(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_614]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4264,plain,
% 153.09/153.34 ( ~ class_Orderings_Olinorder(X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4263]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_611,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.09/153.34 | ~ class_Orderings_Oorder(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2912_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4257,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.09/153.34 | ~ class_Orderings_Oorder(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_611]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4258,plain,
% 153.09/153.34 ( ~ class_Orderings_Oorder(X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4257]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_608,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.34 | ~ c_lessequals(X1,X0,X2)
% 153.09/153.34 | ~ class_Orderings_Opreorder(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2913_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4251,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.34 | ~ c_lessequals(X1,X0,X2)
% 153.09/153.34 | ~ class_Orderings_Opreorder(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_608]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4252,plain,
% 153.09/153.34 ( ~ class_Orderings_Opreorder(X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.34 | ~ c_lessequals(X2,X1,X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4251]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_602,plain,
% 153.09/153.34 ( ~ c_lessequals(X0,X1,X2)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.09/153.34 | ~ class_Orderings_Olinorder(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2915_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4239,plain,
% 153.09/153.34 ( ~ c_lessequals(X0,X1,X2)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.09/153.34 | ~ class_Orderings_Olinorder(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_602]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4240,plain,
% 153.09/153.34 ( ~ class_Orderings_Olinorder(X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.34 | ~ c_lessequals(X2,X1,X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4239]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_597,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2917_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4229,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_597]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_595,plain,
% 153.09/153.34 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | X1 = X0
% 153.09/153.34 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2918_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4225,plain,
% 153.09/153.34 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | X1 = X0
% 153.09/153.34 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_595]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4226,plain,
% 153.09/153.34 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | X1 = X0 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4225]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_592,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 153.09/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2919_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4219,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 153.09/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_592]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4220,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4219]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_590,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2920_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4215,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_590]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4216,plain,
% 153.09/153.34 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 153.09/153.34 | X1 = X4 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4215]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_588,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2921_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4211,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_588]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4212,plain,
% 153.09/153.34 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 153.09/153.34 | X0 = X3 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4211]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_585,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 153.09/153.34 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2922_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4205,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 153.09/153.34 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_585]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4206,plain,
% 153.09/153.34 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 153.09/153.34 | X1 = X3 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4205]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_582,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.09/153.34 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2923_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4199,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.09/153.34 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_582]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4200,plain,
% 153.09/153.34 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 153.09/153.34 | X2 = X3 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4199]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_579,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.09/153.34 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2924_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4193,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 153.09/153.34 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_579]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4194,plain,
% 153.09/153.34 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 153.09/153.34 | X2 = X3 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4193]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_577,plain,
% 153.09/153.34 ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2925_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4189,plain,
% 153.09/153.34 ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_577]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4190,plain,
% 153.09/153.34 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X0,X3,X2) | X1 = X3 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4189]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_575,plain,
% 153.09/153.34 ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2926_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4185,plain,
% 153.09/153.34 ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_575]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4186,plain,
% 153.09/153.34 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X3,X1,X2) | X0 = X3 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4185]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_573,plain,
% 153.09/153.34 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2927_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4181,plain,
% 153.09/153.34 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_573]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4182,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 153.09/153.34 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4181]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_568,plain,
% 153.09/153.34 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 153.09/153.34 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2930_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4171,plain,
% 153.09/153.34 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 153.09/153.34 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_568]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4172,plain,
% 153.09/153.34 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 153.09/153.34 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4171]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_566,plain,
% 153.09/153.34 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 153.09/153.34 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2931_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4167,plain,
% 153.09/153.34 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 153.09/153.34 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_566]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4168,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 153.09/153.34 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4167]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_564,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2934_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4163,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_564]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4164,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4163]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_524,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2946_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4083,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_524]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_518,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | X1 = X0
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2948_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4071,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | X1 = X0
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_518]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4072,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | X1 = X0 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4071]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_515,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | X0 = X1
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2949_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4065,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | X0 = X1
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_515]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4066,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | X0 = X1 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4065]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_510,plain,
% 153.09/153.34 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2951_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4055,plain,
% 153.09/153.34 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_510]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4056,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4055]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_507,plain,
% 153.09/153.34 ( c_lessequals(X0,X1,X2)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.34 | ~ class_Orderings_Oorder(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2952_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4049,plain,
% 153.09/153.34 ( c_lessequals(X0,X1,X2)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.34 | ~ class_Orderings_Oorder(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_507]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4050,plain,
% 153.09/153.34 ( ~ class_Orderings_Oorder(X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.34 | c_lessequals(X1,X2,X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4049]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_504,plain,
% 153.09/153.34 ( c_lessequals(X0,X1,X2)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.34 | ~ class_Orderings_Opreorder(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2953_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4043,plain,
% 153.09/153.34 ( c_lessequals(X0,X1,X2)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.34 | ~ class_Orderings_Opreorder(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_504]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4044,plain,
% 153.09/153.34 ( ~ class_Orderings_Opreorder(X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.34 | c_lessequals(X1,X2,X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4043]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_500,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2955_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4035,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_500]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4036,plain,
% 153.09/153.34 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 153.09/153.34 | X0 = X2 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4035]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_498,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2956_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4031,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_498]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4032,plain,
% 153.09/153.34 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 153.09/153.34 | X1 = X2 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4031]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_496,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2957_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4027,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_496]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4028,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4027]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_494,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.09/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2963_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4023,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 153.09/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_494]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4024,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4023]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_492,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2964_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4019,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_492]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_490,plain,
% 153.09/153.34 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2965_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4015,plain,
% 153.09/153.34 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_490]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4016,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4015]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_488,plain,
% 153.09/153.34 ( hAPP(hAPP(X0,X1),X2) = X2 | ~ c_OrderedGroup_Omonoid__add(X1,X0,X3) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2966_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4011,plain,
% 153.09/153.34 ( hAPP(hAPP(X0,X1),X2) = X2 | ~ c_OrderedGroup_Omonoid__add(X1,X0,X3) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_488]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4012,plain,
% 153.09/153.34 ( ~ c_OrderedGroup_Omonoid__add(X0,X1,X2) | hAPP(hAPP(X1,X0),X3) = X3 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4011]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_486,plain,
% 153.09/153.34 ( hAPP(hAPP(X0,X1),X2) = X1 | ~ c_OrderedGroup_Omonoid__add(X2,X0,X3) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2967_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4007,plain,
% 153.09/153.34 ( hAPP(hAPP(X0,X1),X2) = X1 | ~ c_OrderedGroup_Omonoid__add(X2,X0,X3) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_486]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_4008,plain,
% 153.09/153.34 ( ~ c_OrderedGroup_Omonoid__add(X0,X1,X2) | hAPP(hAPP(X1,X3),X0) = X3 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_4007]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_459,plain,
% 153.09/153.34 ( ~ class_Orderings_Olinorder(X0)
% 153.09/153.34 | X1 = X2
% 153.09/153.34 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2975_0) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3953,plain,
% 153.09/153.34 ( ~ class_Orderings_Olinorder(X0)
% 153.09/153.34 | X1 = X2
% 153.09/153.34 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_459]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3954,plain,
% 153.09/153.34 ( ~ class_Orderings_Olinorder(X0)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.09/153.34 | X2 = X1 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3953]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_456,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.09/153.34 | X0 = X1
% 153.09/153.34 | ~ class_Orderings_Olinorder(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2975_3) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3947,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.09/153.34 | X0 = X1
% 153.09/153.34 | ~ class_Orderings_Olinorder(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_456]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3948,plain,
% 153.09/153.34 ( ~ class_Orderings_Olinorder(X0)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.09/153.34 | X1 = X2 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3947]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_454,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.34 | X2 = X1
% 153.09/153.34 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2976_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3943,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.34 | X2 = X1
% 153.09/153.34 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_454]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3944,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 153.09/153.34 | X2 = X1 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3943]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_450,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2977_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3935,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_450]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3936,plain,
% 153.09/153.34 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 153.09/153.34 | X1 = X3 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3935]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_448,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2978_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3931,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_448]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3932,plain,
% 153.09/153.34 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 153.09/153.34 | X0 = X2 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3931]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_446,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_Type_Otype_OFun,X0),X2) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2979_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3927,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_Type_Otype_OFun,X0),X2) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_446]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3928,plain,
% 153.09/153.34 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 153.09/153.34 | X0 = X2 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3927]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_444,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_Type_Otype_OFun,X2),X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2980_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3923,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | hAPP(hAPP(c_Type_Otype_OFun,X2),X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_444]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3924,plain,
% 153.09/153.34 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 153.09/153.34 | X1 = X3 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3923]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_442,plain,
% 153.09/153.34 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0)
% 153.09/153.34 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2982_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3919,plain,
% 153.09/153.34 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0)
% 153.09/153.34 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_442]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3920,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3919]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_433,plain,
% 153.09/153.34 ( c_lessequals(X0,X0,X1)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 153.09/153.34 | ~ class_Orderings_Olinorder(X1) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2985_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3901,plain,
% 153.09/153.34 ( c_lessequals(X0,X0,X1)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 153.09/153.34 | ~ class_Orderings_Olinorder(X1) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_433]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3902,plain,
% 153.09/153.34 ( ~ class_Orderings_Olinorder(X0)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 153.09/153.34 | c_lessequals(X1,X1,X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3901]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_430,plain,
% 153.09/153.34 ( c_lessequals(X0,X1,X2)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.09/153.34 | ~ class_Orderings_Olinorder(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2986_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3895,plain,
% 153.09/153.34 ( c_lessequals(X0,X1,X2)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 153.09/153.34 | ~ class_Orderings_Olinorder(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_430]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3896,plain,
% 153.09/153.34 ( ~ class_Orderings_Olinorder(X0)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 153.09/153.34 | c_lessequals(X2,X1,X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3895]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_427,plain,
% 153.09/153.34 ( c_lessequals(X0,X1,X2)
% 153.09/153.34 | c_lessequals(X1,X0,X2)
% 153.09/153.34 | ~ class_Orderings_Olinorder(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2987_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3889,plain,
% 153.09/153.34 ( c_lessequals(X0,X1,X2)
% 153.09/153.34 | c_lessequals(X1,X0,X2)
% 153.09/153.34 | ~ class_Orderings_Olinorder(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_427]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3890,plain,
% 153.09/153.34 ( ~ class_Orderings_Olinorder(X0)
% 153.09/153.34 | c_lessequals(X1,X2,X0)
% 153.09/153.34 | c_lessequals(X2,X1,X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3889]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_425,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2988_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3885,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_425]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3886,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3885]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_421,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2990_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3877,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_421]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3878,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3877]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_419,plain,
% 153.09/153.34 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2991_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3873,plain,
% 153.09/153.34 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 153.09/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_419]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3874,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.09/153.34 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3873]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_415,plain,
% 153.09/153.34 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.09/153.34 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2993_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3865,plain,
% 153.09/153.34 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.09/153.34 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_415]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3866,plain,
% 153.09/153.34 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3865]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_413,plain,
% 153.09/153.34 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.09/153.34 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2994_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3861,plain,
% 153.09/153.34 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 153.09/153.34 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_413]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3862,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3861]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_411,plain,
% 153.09/153.34 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2996_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3857,plain,
% 153.09/153.34 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_411]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3858,plain,
% 153.09/153.34 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3857]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_406,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | X1 = X0
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2999_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3847,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | X1 = X0
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_406]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3848,plain,
% 153.09/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 153.09/153.34 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 153.09/153.34 | X1 = X0 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3847]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_401,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 153.09/153.34 | ~ class_Int_Onumber__ring(X2)
% 153.09/153.34 | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3000_3) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3837,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 153.09/153.34 | ~ class_Int_Onumber__ring(X2)
% 153.09/153.34 | ~ class_Ring__and__Field_Oidom(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_401]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3838,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Oidom(X0)
% 153.09/153.34 | ~ class_Int_Onumber__ring(X0)
% 153.09/153.34 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.09/153.34 | X1 = X2 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3837]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_399,plain,
% 153.09/153.34 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3001_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3833,plain,
% 153.09/153.34 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_399]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3834,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 153.09/153.34 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3833]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_396,plain,
% 153.09/153.34 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.09/153.34 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.09/153.34 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3002_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3827,plain,
% 153.09/153.34 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.09/153.34 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 153.09/153.34 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_396]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3828,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 153.09/153.34 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.09/153.34 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3827]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_392,plain,
% 153.09/153.34 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 153.09/153.34 | ~ class_Int_Onumber__ring(X1)
% 153.09/153.34 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3003_3) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3819,plain,
% 153.09/153.34 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 153.09/153.34 | ~ class_Int_Onumber__ring(X1)
% 153.09/153.34 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_392]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3820,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Oidom(X0)
% 153.09/153.34 | ~ class_Int_Onumber__ring(X0)
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 153.09/153.34 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3819]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_389,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 153.09/153.34 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3004_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3813,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 153.09/153.34 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_389]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3814,plain,
% 153.09/153.34 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.09/153.34 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.09/153.34 | X1 = X2 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3813]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_386,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 153.09/153.34 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3005_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3807,plain,
% 153.09/153.34 ( X0 = X1
% 153.09/153.34 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 153.09/153.34 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_386]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3808,plain,
% 153.09/153.34 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 153.09/153.34 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.09/153.34 | X1 = X2 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3807]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_383,plain,
% 153.09/153.34 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | X1 = c_List_Olist_ONil(X2)
% 153.09/153.34 | c_List_Otake(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3006_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3801,plain,
% 153.09/153.34 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | X1 = c_List_Olist_ONil(X2)
% 153.09/153.34 | c_List_Otake(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_383]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3802,plain,
% 153.09/153.34 ( c_List_Otake(X0,X1,X2) != c_List_Olist_ONil(X2)
% 153.09/153.34 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | X1 = c_List_Olist_ONil(X2) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3801]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_380,plain,
% 153.09/153.34 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 153.09/153.34 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3007_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3795,plain,
% 153.09/153.34 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 153.09/153.34 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_380]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3796,plain,
% 153.09/153.34 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 153.09/153.34 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3795]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_376,plain,
% 153.09/153.34 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3009_0) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3787,plain,
% 153.09/153.34 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_376]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_374,plain,
% 153.09/153.34 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3009_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3783,plain,
% 153.09/153.34 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_374]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3784,plain,
% 153.09/153.34 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3783]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_368,plain,
% 153.09/153.34 ( X0 = c_List_Olist_ONil(X1)
% 153.09/153.34 | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3012_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3771,plain,
% 153.09/153.34 ( X0 = c_List_Olist_ONil(X1)
% 153.09/153.34 | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_368]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3772,plain,
% 153.09/153.34 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 153.09/153.34 | X1 = c_List_Olist_ONil(X2) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3771]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_366,plain,
% 153.09/153.34 ( X0 = c_List_Olist_ONil(X1)
% 153.09/153.34 | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3013_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3767,plain,
% 153.09/153.34 ( X0 = c_List_Olist_ONil(X1)
% 153.09/153.34 | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_366]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3768,plain,
% 153.09/153.34 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 153.09/153.34 | X0 = c_List_Olist_ONil(X2) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3767]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_351,plain,
% 153.09/153.34 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3017_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3737,plain,
% 153.09/153.34 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_351]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3738,plain,
% 153.09/153.34 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3737]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_348,plain,
% 153.09/153.34 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3018_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3731,plain,
% 153.09/153.34 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_348]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3732,plain,
% 153.09/153.34 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3731]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_344,plain,
% 153.09/153.34 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 153.09/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3020_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3723,plain,
% 153.09/153.34 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 153.09/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_344]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3724,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.09/153.34 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3723]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_342,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3021_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3719,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_342]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3720,plain,
% 153.09/153.34 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3719]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_340,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3022_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3715,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_340]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3716,plain,
% 153.09/153.34 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3715]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_338,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3023_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3711,plain,
% 153.09/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_338]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3712,plain,
% 153.09/153.34 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3711]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_334,plain,
% 153.09/153.34 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3026_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3703,plain,
% 153.09/153.34 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 153.09/153.34 inference(copy,[status(esa)],[c_334]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3704,plain,
% 153.09/153.34 ( c_List_Oappend(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil(X2) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3703]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_330,plain,
% 153.09/153.34 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3028_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3695,plain,
% 153.09/153.34 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 153.09/153.34 inference(copy,[status(esa)],[c_330]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3696,plain,
% 153.09/153.34 ( c_List_Oappend(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil(X2) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3695]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_326,plain,
% 153.09/153.34 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3034_0) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3687,plain,
% 153.09/153.34 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_326]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_324,plain,
% 153.09/153.34 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3034_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3683,plain,
% 153.09/153.34 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_324]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3684,plain,
% 153.09/153.34 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 153.09/153.34 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3683]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_322,plain,
% 153.09/153.34 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3037_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3679,plain,
% 153.09/153.34 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_322]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3680,plain,
% 153.09/153.34 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3679]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_319,plain,
% 153.09/153.34 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.09/153.34 | ~ class_Power_Opower(X0)
% 153.09/153.34 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3041_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3673,plain,
% 153.09/153.34 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.09/153.34 | ~ class_Power_Opower(X0)
% 153.09/153.34 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_319]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3674,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 153.09/153.34 | ~ class_Power_Opower(X0)
% 153.09/153.34 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3673]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_315,plain,
% 153.09/153.34 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.09/153.34 | ~ class_Power_Opower(X1)
% 153.09/153.34 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3044_3) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3665,plain,
% 153.09/153.34 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.34 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.09/153.34 | ~ class_Power_Opower(X1)
% 153.09/153.34 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_315]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3666,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 153.09/153.34 | ~ class_Power_Opower(X0)
% 153.09/153.34 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.09/153.34 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3665]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_313,plain,
% 153.09/153.34 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 153.09/153.34 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3045_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3661,plain,
% 153.09/153.34 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 153.09/153.34 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_313]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_310,plain,
% 153.09/153.34 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 153.09/153.34 | ~ class_Power_Opower(X0)
% 153.09/153.34 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3046_2) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3655,plain,
% 153.09/153.34 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 153.09/153.34 | ~ class_Power_Opower(X0)
% 153.09/153.34 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_310]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3656,plain,
% 153.09/153.34 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 153.09/153.34 | ~ class_Power_Opower(X0)
% 153.09/153.34 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 153.09/153.34 inference(rewriting,[status(thm)],[c_3655]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_308,plain,
% 153.09/153.34 ( 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)
% 153.09/153.34 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.09/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3047_1) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3651,plain,
% 153.09/153.34 ( 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)
% 153.09/153.34 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 153.09/153.34 inference(copy,[status(esa)],[c_308]) ).
% 153.09/153.34
% 153.09/153.34 cnf(c_3652,plain,
% 153.09/153.34 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 153.09/153.34 | 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) ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3651]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_306,plain,
% 153.09/153.35 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3051_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3647,plain,
% 153.09/153.35 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_306]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3648,plain,
% 153.09/153.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.35 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3647]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_304,plain,
% 153.09/153.35 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3052_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3643,plain,
% 153.09/153.35 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_304]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3644,plain,
% 153.09/153.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.35 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3643]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_300,plain,
% 153.09/153.35 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3054_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3635,plain,
% 153.09/153.35 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 153.09/153.35 inference(copy,[status(esa)],[c_300]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3636,plain,
% 153.09/153.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 153.09/153.35 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3635]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_298,plain,
% 153.09/153.35 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 153.09/153.35 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3055_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3631,plain,
% 153.09/153.35 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 153.09/153.35 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_298]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3632,plain,
% 153.09/153.35 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.09/153.35 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3631]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_296,plain,
% 153.09/153.35 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 153.09/153.35 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3056_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3627,plain,
% 153.09/153.35 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 153.09/153.35 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_296]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3628,plain,
% 153.09/153.35 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 153.09/153.35 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3627]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_293,plain,
% 153.09/153.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.09/153.35 | ~ class_Int_Onumber__ring(X0)
% 153.09/153.35 | ~ class_Ring__and__Field_Oidom(X0) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3057_2) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3621,plain,
% 153.09/153.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.09/153.35 | ~ class_Int_Onumber__ring(X0)
% 153.09/153.35 | ~ class_Ring__and__Field_Oidom(X0) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_293]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3622,plain,
% 153.09/153.35 ( ~ class_Ring__and__Field_Oidom(X0)
% 153.09/153.35 | ~ class_Int_Onumber__ring(X0)
% 153.09/153.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3621]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_290,plain,
% 153.09/153.35 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.09/153.35 | ~ class_Int_Onumber__ring(X1)
% 153.09/153.35 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3058_2) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3615,plain,
% 153.09/153.35 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.09/153.35 | ~ class_Int_Onumber__ring(X1)
% 153.09/153.35 | ~ class_Ring__and__Field_Oidom(X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_290]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3616,plain,
% 153.09/153.35 ( ~ class_Ring__and__Field_Oidom(X0)
% 153.09/153.35 | ~ class_Int_Onumber__ring(X0)
% 153.09/153.35 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3615]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_286,plain,
% 153.09/153.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.09/153.35 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3060_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3607,plain,
% 153.09/153.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.09/153.35 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_286]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3608,plain,
% 153.09/153.35 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.09/153.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3607]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_284,plain,
% 153.09/153.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.09/153.35 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3061_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3603,plain,
% 153.09/153.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.09/153.35 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_284]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3604,plain,
% 153.09/153.35 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.09/153.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3603]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_282,plain,
% 153.09/153.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.09/153.35 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3062_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3599,plain,
% 153.09/153.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 153.09/153.35 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_282]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3600,plain,
% 153.09/153.35 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.09/153.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3599]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_280,plain,
% 153.09/153.35 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 153.09/153.35 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3063_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3595,plain,
% 153.09/153.35 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 153.09/153.35 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_280]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3596,plain,
% 153.09/153.35 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 153.09/153.35 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3595]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_278,plain,
% 153.09/153.35 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 153.09/153.35 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3068_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3591,plain,
% 153.09/153.35 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 153.09/153.35 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_278]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3592,plain,
% 153.09/153.35 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.09/153.35 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3591]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_276,plain,
% 153.09/153.35 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 153.09/153.35 | ~ class_Power_Opower(X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3069_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3587,plain,
% 153.09/153.35 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 153.09/153.35 | ~ class_Power_Opower(X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_276]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3588,plain,
% 153.09/153.35 ( ~ class_Power_Opower(X0)
% 153.09/153.35 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3587]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_274,plain,
% 153.09/153.35 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 153.09/153.35 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3070_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3583,plain,
% 153.09/153.35 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 153.09/153.35 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_274]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3584,plain,
% 153.09/153.35 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 153.09/153.35 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3583]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_272,plain,
% 153.09/153.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.09/153.35 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3072_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3579,plain,
% 153.09/153.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.09/153.35 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_272]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3580,plain,
% 153.09/153.35 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.09/153.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3579]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_270,plain,
% 153.09/153.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.09/153.35 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3073_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3575,plain,
% 153.09/153.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.09/153.35 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_270]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3576,plain,
% 153.09/153.35 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 153.09/153.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3575]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_268,plain,
% 153.09/153.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.09/153.35 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3074_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3571,plain,
% 153.09/153.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 153.09/153.35 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_268]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3572,plain,
% 153.09/153.35 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 153.09/153.35 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3571]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_266,plain,
% 153.09/153.35 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 153.09/153.35 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3075_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3567,plain,
% 153.09/153.35 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 153.09/153.35 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_266]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3568,plain,
% 153.09/153.35 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 153.09/153.35 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3567]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_264,plain,
% 153.09/153.35 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 153.09/153.35 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3076_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3563,plain,
% 153.09/153.35 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 153.09/153.35 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_264]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3564,plain,
% 153.09/153.35 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 153.09/153.35 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3563]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_262,plain,
% 153.09/153.35 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.09/153.35 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3077_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3559,plain,
% 153.09/153.35 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.09/153.35 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_262]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3560,plain,
% 153.09/153.35 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 153.09/153.35 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3559]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_258,plain,
% 153.09/153.35 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.09/153.35 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3079_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3551,plain,
% 153.09/153.35 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 153.09/153.35 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_258]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3552,plain,
% 153.09/153.35 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 153.09/153.35 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3551]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_256,plain,
% 153.09/153.35 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3088_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3547,plain,
% 153.09/153.35 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_256]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3548,plain,
% 153.09/153.35 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3547]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_254,plain,
% 153.09/153.35 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3089_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3543,plain,
% 153.09/153.35 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_254]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3544,plain,
% 153.09/153.35 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3543]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_250,plain,
% 153.09/153.35 ( X0 = X1
% 153.09/153.35 | c_Int_Onumber__class_Onumber__of(X0,X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
% 153.09/153.35 | ~ class_Int_Onumber__ring(X2)
% 153.09/153.35 | ~ class_Int_Oring__char__0(X2) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3097_3) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3535,plain,
% 153.09/153.35 ( X0 = X1
% 153.09/153.35 | c_Int_Onumber__class_Onumber__of(X0,X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
% 153.09/153.35 | ~ class_Int_Onumber__ring(X2)
% 153.09/153.35 | ~ class_Int_Oring__char__0(X2) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_250]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3536,plain,
% 153.09/153.35 ( ~ class_Int_Oring__char__0(X0)
% 153.09/153.35 | ~ class_Int_Onumber__ring(X0)
% 153.09/153.35 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 153.09/153.35 | X1 = X2 ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3535]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_248,plain,
% 153.09/153.35 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.35 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3098_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3531,plain,
% 153.09/153.35 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 153.09/153.35 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_248]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3532,plain,
% 153.09/153.35 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 153.09/153.35 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3531]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_245,plain,
% 153.09/153.35 ( X0 = X1
% 153.09/153.35 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 153.09/153.35 | ~ class_Nat_Osemiring__char__0(X2) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3109_2) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3525,plain,
% 153.09/153.35 ( X0 = X1
% 153.09/153.35 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 153.09/153.35 | ~ class_Nat_Osemiring__char__0(X2) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_245]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3526,plain,
% 153.09/153.35 ( ~ class_Nat_Osemiring__char__0(X0)
% 153.09/153.35 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 153.09/153.35 | X1 = X2 ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3525]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_243,plain,
% 153.09/153.35 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3116_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3521,plain,
% 153.09/153.35 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_243]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_241,plain,
% 153.09/153.35 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 153.09/153.35 | ~ class_Orderings_Opreorder(X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3117_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3517,plain,
% 153.09/153.35 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 153.09/153.35 | ~ class_Orderings_Opreorder(X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_241]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_239,plain,
% 153.09/153.35 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.09/153.35 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3118_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3513,plain,
% 153.09/153.35 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 153.09/153.35 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_239]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3514,plain,
% 153.09/153.35 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 153.09/153.35 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3513]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_237,plain,
% 153.09/153.35 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 153.09/153.35 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3119_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3509,plain,
% 153.09/153.35 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 153.09/153.35 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_237]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3510,plain,
% 153.09/153.35 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 153.09/153.35 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3509]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_235,plain,
% 153.09/153.35 ( c_OrderedGroup_Osemigroup__add(c_HOL_Oplus__class_Oplus(X0),X0)
% 153.09/153.35 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3120_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3505,plain,
% 153.09/153.35 ( c_OrderedGroup_Osemigroup__add(c_HOL_Oplus__class_Oplus(X0),X0)
% 153.09/153.35 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_235]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3506,plain,
% 153.09/153.35 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 153.09/153.35 | c_OrderedGroup_Osemigroup__add(c_HOL_Oplus__class_Oplus(X0),X0) ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3505]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_231,plain,
% 153.09/153.35 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.09/153.35 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3125_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3497,plain,
% 153.09/153.35 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 153.09/153.35 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_231]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3498,plain,
% 153.09/153.35 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 153.09/153.35 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3497]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_229,plain,
% 153.09/153.35 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3126_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3493,plain,
% 153.09/153.35 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_229]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3494,plain,
% 153.09/153.35 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3493]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_227,plain,
% 153.09/153.35 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3127_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3489,plain,
% 153.09/153.35 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_227]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3490,plain,
% 153.09/153.35 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3489]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_223,plain,
% 153.09/153.35 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3129_1) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3481,plain,
% 153.09/153.35 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_223]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3482,plain,
% 153.09/153.35 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 153.09/153.35 inference(rewriting,[status(thm)],[c_3481]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_222,plain,
% 153.09/153.35 ( 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) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2607_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3479,plain,
% 153.09/153.35 ( 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) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_222]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_221,plain,
% 153.09/153.35 ( 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) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2628_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3477,plain,
% 153.09/153.35 ( 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) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_221]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_220,plain,
% 153.09/153.35 ( ~ c_ListOrder_Ostep1(X0,X1,c_List_Olist_ONil(X2),X2) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2746_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3475,plain,
% 153.09/153.35 ( ~ c_ListOrder_Ostep1(X0,X1,c_List_Olist_ONil(X2),X2) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_220]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_219,plain,
% 153.09/153.35 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_ONil(X1),X2,X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2747_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3473,plain,
% 153.09/153.35 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_ONil(X1),X2,X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_219]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_218,plain,
% 153.09/153.35 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2879_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3471,plain,
% 153.09/153.35 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_218]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_217,plain,
% 153.09/153.35 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2880_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3469,plain,
% 153.09/153.35 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_217]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_216,plain,
% 153.09/153.35 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X0)),X1)) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2933_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3467,plain,
% 153.09/153.35 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X0)),X1)) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_216]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_215,plain,
% 153.09/153.35 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3024_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3465,plain,
% 153.09/153.35 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_215]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_212,plain,
% 153.09/153.35 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3031_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3459,plain,
% 153.09/153.35 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_212]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_210,plain,
% 153.09/153.35 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3036_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3455,plain,
% 153.09/153.35 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_210]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_208,plain,
% 153.09/153.35 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3039_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3451,plain,
% 153.09/153.35 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 153.09/153.35 inference(copy,[status(esa)],[c_208]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_206,plain,
% 153.09/153.35 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3043_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3447,plain,
% 153.09/153.35 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_206]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_205,plain,
% 153.09/153.35 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3081_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3445,plain,
% 153.09/153.35 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_205]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_204,plain,
% 153.09/153.35 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3082_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3443,plain,
% 153.09/153.35 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_204]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_203,plain,
% 153.09/153.35 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3083_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3441,plain,
% 153.09/153.35 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_203]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_202,plain,
% 153.09/153.35 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3084_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3439,plain,
% 153.09/153.35 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_202]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_201,plain,
% 153.09/153.35 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3130_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3437,plain,
% 153.09/153.35 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_201]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_200,plain,
% 153.09/153.35 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3131_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3435,plain,
% 153.09/153.35 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_200]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_198,plain,
% 153.09/153.35 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3134_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3431,plain,
% 153.09/153.35 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_198]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_196,plain,
% 153.09/153.35 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3136_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3427,plain,
% 153.09/153.35 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_196]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_194,plain,
% 153.09/153.35 ( c_Suc(X0) != X0 ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3139_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3423,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_194]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_158,plain,
% 153.09/153.35 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2683_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3386,plain,
% 153.09/153.35 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)))) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_158]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_133,plain,
% 153.09/153.35 ( 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) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2815_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3360,plain,
% 153.09/153.35 ( 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) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_133]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_128,plain,
% 153.09/153.35 ( 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)) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2834_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3354,plain,
% 153.09/153.35 ( 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)) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_128]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_121,plain,
% 153.09/153.35 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2858_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3345,plain,
% 153.09/153.35 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_121]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_120,plain,
% 153.09/153.35 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2859_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3343,plain,
% 153.09/153.35 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_120]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_114,plain,
% 153.09/153.35 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X2)) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2900_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3335,plain,
% 153.09/153.35 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X2)) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_114]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_112,plain,
% 153.09/153.35 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_2932_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3332,plain,
% 153.09/153.35 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_112]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_101,plain,
% 153.09/153.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3032_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3320,plain,
% 153.09/153.35 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_101]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_100,plain,
% 153.09/153.35 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3040_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3318,plain,
% 153.09/153.35 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_100]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_92,plain,
% 153.09/153.35 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3071_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3309,plain,
% 153.09/153.35 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_92]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_88,plain,
% 153.09/153.35 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3087_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3303,plain,
% 153.09/153.35 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_88]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_81,plain,
% 153.09/153.35 ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3096_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3295,plain,
% 153.09/153.35 ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_81]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_79,plain,
% 153.09/153.35 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3100_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3291,plain,
% 153.09/153.35 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_79]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_72,plain,
% 153.09/153.35 ( c_fequal(X0,X0,X1) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3107_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3283,plain,
% 153.09/153.35 ( c_fequal(X0,X0,X1) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_72]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_65,plain,
% 153.09/153.35 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3115_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3275,plain,
% 153.09/153.35 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_65]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_64,plain,
% 153.09/153.35 ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3121_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3273,plain,
% 153.09/153.35 ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_64]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_63,plain,
% 153.09/153.35 ( hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3122_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3271,plain,
% 153.09/153.35 ( hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_63]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_59,plain,
% 153.09/153.35 ( class_Int_Onumber(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3140_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3266,plain,
% 153.09/153.35 ( class_Int_Onumber(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_59]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_58,plain,
% 153.09/153.35 ( class_Power_Opower(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3141_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3264,plain,
% 153.09/153.35 ( class_Power_Opower(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_58]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_57,plain,
% 153.09/153.35 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3142_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3262,plain,
% 153.09/153.35 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_57]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_56,plain,
% 153.09/153.35 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3143_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3260,plain,
% 153.09/153.35 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_56]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_55,plain,
% 153.09/153.35 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3144_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3258,plain,
% 153.09/153.35 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_55]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_54,plain,
% 153.09/153.35 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3145_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3256,plain,
% 153.09/153.35 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_54]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_53,plain,
% 153.09/153.35 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3146_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3254,plain,
% 153.09/153.35 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_53]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_52,plain,
% 153.09/153.35 ( class_Nat_Osemiring__char__0(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3147_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3252,plain,
% 153.09/153.35 ( class_Nat_Osemiring__char__0(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_52]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_51,plain,
% 153.09/153.35 ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3148_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3250,plain,
% 153.09/153.35 ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_51]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_50,plain,
% 153.09/153.35 ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3149_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3248,plain,
% 153.09/153.35 ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_50]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_49,plain,
% 153.09/153.35 ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3150_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3246,plain,
% 153.09/153.35 ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_49]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_48,plain,
% 153.09/153.35 ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3151_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3244,plain,
% 153.09/153.35 ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_48]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_47,plain,
% 153.09/153.35 ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3152_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3242,plain,
% 153.09/153.35 ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_47]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_46,plain,
% 153.09/153.35 ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3153_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3240,plain,
% 153.09/153.35 ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_46]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_45,plain,
% 153.09/153.35 ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3154_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3238,plain,
% 153.09/153.35 ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_45]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_44,plain,
% 153.09/153.35 ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3155_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3236,plain,
% 153.09/153.35 ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_44]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_43,plain,
% 153.09/153.35 ( class_OrderedGroup_Osemigroup__add(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3156_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3234,plain,
% 153.09/153.35 ( class_OrderedGroup_Osemigroup__add(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_43]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_42,plain,
% 153.09/153.35 ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3157_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3232,plain,
% 153.09/153.35 ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_42]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_41,plain,
% 153.09/153.35 ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3158_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3230,plain,
% 153.09/153.35 ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_41]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_40,plain,
% 153.09/153.35 ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3159_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3228,plain,
% 153.09/153.35 ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_40]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_39,plain,
% 153.09/153.35 ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3160_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3226,plain,
% 153.09/153.35 ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_39]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_38,plain,
% 153.09/153.35 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3161_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3224,plain,
% 153.09/153.35 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_38]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_37,plain,
% 153.09/153.35 ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3162_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3222,plain,
% 153.09/153.35 ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_37]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_36,plain,
% 153.09/153.35 ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3163_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3220,plain,
% 153.09/153.35 ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_36]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_35,plain,
% 153.09/153.35 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3164_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3218,plain,
% 153.09/153.35 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_35]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_34,plain,
% 153.09/153.35 ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3165_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3216,plain,
% 153.09/153.35 ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_34]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_33,plain,
% 153.09/153.35 ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3166_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3214,plain,
% 153.09/153.35 ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_33]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_32,plain,
% 153.09/153.35 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3167_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3212,plain,
% 153.09/153.35 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_32]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_31,plain,
% 153.09/153.35 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3168_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3210,plain,
% 153.09/153.35 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_31]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_30,plain,
% 153.09/153.35 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3169_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3208,plain,
% 153.09/153.35 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_30]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_29,plain,
% 153.09/153.35 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3170_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3206,plain,
% 153.09/153.35 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_29]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_28,plain,
% 153.09/153.35 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3171_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3204,plain,
% 153.09/153.35 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_28]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_27,plain,
% 153.09/153.35 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3172_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3202,plain,
% 153.09/153.35 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_27]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_26,plain,
% 153.09/153.35 ( class_Orderings_Oorder(tc_bool) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3173_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3200,plain,
% 153.09/153.35 ( class_Orderings_Oorder(tc_bool) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_26]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_25,plain,
% 153.09/153.35 ( class_Orderings_Opreorder(tc_bool) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3174_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3198,plain,
% 153.09/153.35 ( class_Orderings_Opreorder(tc_bool) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_25]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_24,plain,
% 153.09/153.35 ( class_Int_Onumber(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3175_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3196,plain,
% 153.09/153.35 ( class_Int_Onumber(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_24]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_23,plain,
% 153.09/153.35 ( class_Power_Opower(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3176_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3194,plain,
% 153.09/153.35 ( class_Power_Opower(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_23]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_22,plain,
% 153.09/153.35 ( class_Orderings_Oorder(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3177_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3192,plain,
% 153.09/153.35 ( class_Orderings_Oorder(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_22]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_21,plain,
% 153.09/153.35 ( class_Orderings_Olinorder(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3178_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3190,plain,
% 153.09/153.35 ( class_Orderings_Olinorder(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_21]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_20,plain,
% 153.09/153.35 ( class_Orderings_Opreorder(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3179_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3188,plain,
% 153.09/153.35 ( class_Orderings_Opreorder(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_20]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_19,plain,
% 153.09/153.35 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3180_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3186,plain,
% 153.09/153.35 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_19]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_18,plain,
% 153.09/153.35 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3181_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3184,plain,
% 153.09/153.35 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_18]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_17,plain,
% 153.09/153.35 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3182_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3182,plain,
% 153.09/153.35 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_17]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_16,plain,
% 153.09/153.35 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3183_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3180,plain,
% 153.09/153.35 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_16]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_15,plain,
% 153.09/153.35 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3184_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3178,plain,
% 153.09/153.35 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_15]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_14,plain,
% 153.09/153.35 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3185_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3176,plain,
% 153.09/153.35 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_14]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_13,plain,
% 153.09/153.35 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3186_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3174,plain,
% 153.09/153.35 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_13]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_12,plain,
% 153.09/153.35 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3187_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3172,plain,
% 153.09/153.35 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_12]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_11,plain,
% 153.09/153.35 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3188_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3170,plain,
% 153.09/153.35 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_11]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_10,plain,
% 153.09/153.35 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3189_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3168,plain,
% 153.09/153.35 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_10]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_9,plain,
% 153.09/153.35 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3190_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3166,plain,
% 153.09/153.35 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_9]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_8,plain,
% 153.09/153.35 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3191_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3164,plain,
% 153.09/153.35 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_8]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_7,plain,
% 153.09/153.35 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3192_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3162,plain,
% 153.09/153.35 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_7]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_6,plain,
% 153.09/153.35 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3193_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3160,plain,
% 153.09/153.35 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_6]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_5,plain,
% 153.09/153.35 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3194_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3158,plain,
% 153.09/153.35 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_5]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_4,plain,
% 153.09/153.35 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3195_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3156,plain,
% 153.09/153.35 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_4]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3,plain,
% 153.09/153.35 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3196_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3154,plain,
% 153.09/153.35 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_3]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_2,plain,
% 153.09/153.35 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3197_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3152,plain,
% 153.09/153.35 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_2]) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_1,plain,
% 153.09/153.35 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 153.09/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_e024b7.p', c_0_3198_0) ).
% 153.09/153.35
% 153.09/153.35 cnf(c_3150,plain,
% 153.09/153.35 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 153.09/153.35 inference(copy,[status(esa)],[c_1]) ).
% 153.09/153.35
% 153.09/153.35
% 153.09/153.35
% 153.09/153.35 % ------ Statistics
% 153.09/153.35
% 153.09/153.35 % ------ General
% 153.09/153.35
% 153.09/153.35 % num_of_input_clauses: 1365
% 153.09/153.35 % num_of_input_neg_conjectures: 1
% 153.09/153.35 % num_of_splits: 0
% 153.09/153.35 % num_of_split_atoms: 0
% 153.09/153.35 % num_of_sem_filtered_clauses: 0
% 153.09/153.35 % num_of_subtypes: 0
% 153.09/153.35 % monotx_restored_types: 0
% 153.09/153.35 % sat_num_of_epr_types: 0
% 153.09/153.35 % sat_num_of_non_cyclic_types: 0
% 153.09/153.35 % sat_guarded_non_collapsed_types: 0
% 153.09/153.35 % is_epr: 0
% 153.09/153.35 % is_horn: 0
% 153.09/153.35 % has_eq: 1
% 153.09/153.36 % num_pure_diseq_elim: 0
% 153.09/153.36 % simp_replaced_by: 0
% 153.09/153.36 % res_preprocessed: 2
% 153.09/153.36 % prep_upred: 0
% 153.09/153.36 % prep_unflattend: 0
% 153.09/153.36 % pred_elim_cands: 0
% 153.09/153.36 % pred_elim: 0
% 153.09/153.36 % pred_elim_cl: 0
% 153.09/153.36 % pred_elim_cycles: 0
% 153.09/153.36 % forced_gc_time: 0
% 153.09/153.36 % gc_basic_clause_elim: 0
% 153.09/153.36 % parsing_time: 0.034
% 153.09/153.36 % sem_filter_time: 0.
% 153.09/153.36 % pred_elim_time: 0.
% 153.09/153.36 % out_proof_time: 0.
% 153.09/153.36 % monotx_time: 0.
% 153.09/153.36 % subtype_inf_time: 0.
% 153.09/153.36 % unif_index_cands_time: 0.
% 153.09/153.36 % unif_index_add_time: 0.001
% 153.09/153.36 % total_time: 2.666
% 153.09/153.36 % num_of_symbols: 148
% 153.09/153.36 % num_of_terms: 3592
% 153.09/153.36
% 153.09/153.36 % ------ Propositional Solver
% 153.09/153.36
% 153.09/153.36 % prop_solver_calls: 1
% 153.09/153.36 % prop_fast_solver_calls: 3
% 153.09/153.36 % prop_num_of_clauses: 1285
% 153.09/153.36 % prop_preprocess_simplified: 4037
% 153.09/153.36 % prop_fo_subsumed: 0
% 153.09/153.36 % prop_solver_time: 0.
% 153.09/153.36 % prop_fast_solver_time: 0.
% 153.09/153.36 % prop_unsat_core_time: 0.
% 153.09/153.36
% 153.09/153.36 % ------ QBF
% 153.09/153.36
% 153.09/153.36 % qbf_q_res: 0
% 153.09/153.36 % qbf_num_tautologies: 0
% 153.09/153.36 % qbf_prep_cycles: 0
% 153.09/153.36
% 153.09/153.36 % ------ BMC1
% 153.09/153.36
% 153.09/153.36 % bmc1_current_bound: -1
% 153.09/153.36 % bmc1_last_solved_bound: -1
% 153.09/153.36 % bmc1_unsat_core_size: -1
% 153.09/153.36 % bmc1_unsat_core_parents_size: -1
% 153.09/153.36 % bmc1_merge_next_fun: 0
% 153.09/153.36 % bmc1_unsat_core_clauses_time: 0.
% 153.09/153.36
% 153.09/153.36 % ------ Instantiation
% 153.09/153.36
% 153.09/153.36 % inst_num_of_clauses: 1219
% 153.09/153.36 % inst_num_in_passive: 0
% 153.09/153.36 % inst_num_in_active: 0
% 153.09/153.36 % inst_num_in_unprocessed: 1365
% 153.09/153.36 % inst_num_of_loops: 0
% 153.09/153.36 % inst_num_of_learning_restarts: 0
% 153.09/153.36 % inst_num_moves_active_passive: 0
% 153.09/153.36 % inst_lit_activity: 0
% 153.09/153.36 % inst_lit_activity_moves: 0
% 153.09/153.36 % inst_num_tautologies: 0
% 153.09/153.36 % inst_num_prop_implied: 0
% 153.09/153.36 % inst_num_existing_simplified: 0
% 153.09/153.36 % inst_num_eq_res_simplified: 0
% 153.09/153.36 % inst_num_child_elim: 0
% 153.09/153.36 % inst_num_of_dismatching_blockings: 0
% 153.09/153.36 % inst_num_of_non_proper_insts: 0
% 153.09/153.36 % inst_num_of_duplicates: 0
% 153.09/153.36 % inst_inst_num_from_inst_to_res: 0
% 153.09/153.36 % inst_dismatching_checking_time: 0.
% 153.09/153.36
% 153.09/153.36 % ------ Resolution
% 153.09/153.36
% 153.09/153.36 % res_num_of_clauses: 1304
% 153.09/153.36 % res_num_in_passive: 0
% 153.09/153.36 % res_num_in_active: 520
% 153.09/153.36 % res_num_of_loops: 2
% 153.09/153.36 % res_forward_subset_subsumed: 731
% 153.09/153.36 % res_backward_subset_subsumed: 0
% 153.09/153.36 % res_forward_subsumed: 0
% 153.09/153.36 % res_backward_subsumed: 0
% 153.09/153.36 % res_forward_subsumption_resolution: 0
% 153.09/153.36 % res_backward_subsumption_resolution: 0
% 153.09/153.36 % res_clause_to_clause_subsumption: 0
% 153.09/153.36 % res_orphan_elimination: 0
% 153.09/153.36 % res_tautology_del: 0
% 153.09/153.36 % res_num_eq_res_simplified: 0
% 153.09/153.36 % res_num_sel_changes: 0
% 153.09/153.36 % res_moves_from_active_to_pass: 0
% 153.09/153.36
% 153.09/153.36 % Status Unknown
% 153.09/153.36 % Last status :
% 153.09/153.36 % SZS status Unknown
%------------------------------------------------------------------------------