TSTP Solution File: LCL834-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL834-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 11:40:29 EDT 2022
% Result : Unknown 152.90s 153.26s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : LCL834-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13 % Command : iprover_modulo %s %d
% 0.14/0.33 % Computer : n010.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % 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 : Mon Jul 4 02:55:32 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % Running in mono-core mode
% 0.20/0.48 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.48 % Orientation found
% 0.20/0.48 % 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_87b563.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_0c268b.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_a60bc3 | grep -v "SZS"
% 0.20/0.51
% 0.20/0.51 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.51
% 0.20/0.51 %
% 0.20/0.51 % ------ iProver source info
% 0.20/0.51
% 0.20/0.51 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.51 % git: non_committed_changes: true
% 0.20/0.51 % git: last_make_outside_of_git: true
% 0.20/0.51
% 0.20/0.51 %
% 0.20/0.51 % ------ Input Options
% 0.20/0.51
% 0.20/0.51 % --out_options all
% 0.20/0.51 % --tptp_safe_out true
% 0.20/0.51 % --problem_path ""
% 0.20/0.51 % --include_path ""
% 0.20/0.51 % --clausifier .//eprover
% 0.20/0.51 % --clausifier_options --tstp-format
% 0.20/0.51 % --stdin false
% 0.20/0.51 % --dbg_backtrace false
% 0.20/0.51 % --dbg_dump_prop_clauses false
% 0.20/0.51 % --dbg_dump_prop_clauses_file -
% 0.20/0.51 % --dbg_out_stat false
% 0.20/0.51
% 0.20/0.51 % ------ General Options
% 0.20/0.51
% 0.20/0.51 % --fof false
% 0.20/0.51 % --time_out_real 150.
% 0.20/0.51 % --time_out_prep_mult 0.2
% 0.20/0.51 % --time_out_virtual -1.
% 0.20/0.51 % --schedule none
% 0.20/0.51 % --ground_splitting input
% 0.20/0.51 % --splitting_nvd 16
% 0.20/0.51 % --non_eq_to_eq false
% 0.20/0.51 % --prep_gs_sim true
% 0.20/0.51 % --prep_unflatten false
% 0.20/0.51 % --prep_res_sim true
% 0.20/0.51 % --prep_upred true
% 0.20/0.51 % --res_sim_input true
% 0.20/0.51 % --clause_weak_htbl true
% 0.20/0.51 % --gc_record_bc_elim false
% 0.20/0.51 % --symbol_type_check false
% 0.20/0.51 % --clausify_out false
% 0.20/0.51 % --large_theory_mode false
% 0.20/0.51 % --prep_sem_filter none
% 0.20/0.51 % --prep_sem_filter_out false
% 0.20/0.51 % --preprocessed_out false
% 0.20/0.51 % --sub_typing false
% 0.20/0.51 % --brand_transform false
% 0.20/0.51 % --pure_diseq_elim true
% 0.20/0.51 % --min_unsat_core false
% 0.20/0.51 % --pred_elim true
% 0.20/0.51 % --add_important_lit false
% 0.20/0.51 % --soft_assumptions false
% 0.20/0.51 % --reset_solvers false
% 0.20/0.51 % --bc_imp_inh []
% 0.20/0.51 % --conj_cone_tolerance 1.5
% 0.20/0.51 % --prolific_symb_bound 500
% 0.20/0.51 % --lt_threshold 2000
% 0.20/0.51
% 0.20/0.51 % ------ SAT Options
% 0.20/0.51
% 0.20/0.51 % --sat_mode false
% 0.20/0.51 % --sat_fm_restart_options ""
% 0.20/0.51 % --sat_gr_def false
% 0.20/0.51 % --sat_epr_types true
% 0.20/0.51 % --sat_non_cyclic_types false
% 0.20/0.51 % --sat_finite_models false
% 0.20/0.51 % --sat_fm_lemmas false
% 0.20/0.51 % --sat_fm_prep false
% 0.20/0.51 % --sat_fm_uc_incr true
% 0.20/0.51 % --sat_out_model small
% 0.20/0.51 % --sat_out_clauses false
% 0.20/0.51
% 0.20/0.51 % ------ QBF Options
% 0.20/0.51
% 0.20/0.51 % --qbf_mode false
% 0.20/0.51 % --qbf_elim_univ true
% 0.20/0.51 % --qbf_sk_in true
% 0.20/0.51 % --qbf_pred_elim true
% 0.20/0.51 % --qbf_split 32
% 0.20/0.51
% 0.20/0.51 % ------ BMC1 Options
% 0.20/0.51
% 0.20/0.51 % --bmc1_incremental false
% 0.20/0.51 % --bmc1_axioms reachable_all
% 0.20/0.51 % --bmc1_min_bound 0
% 0.20/0.51 % --bmc1_max_bound -1
% 0.20/0.51 % --bmc1_max_bound_default -1
% 0.20/0.51 % --bmc1_symbol_reachability true
% 0.20/0.51 % --bmc1_property_lemmas false
% 0.20/0.51 % --bmc1_k_induction false
% 0.20/0.51 % --bmc1_non_equiv_states false
% 0.20/0.51 % --bmc1_deadlock false
% 0.20/0.51 % --bmc1_ucm false
% 0.20/0.51 % --bmc1_add_unsat_core none
% 0.20/0.51 % --bmc1_unsat_core_children false
% 0.20/0.51 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.51 % --bmc1_out_stat full
% 0.20/0.51 % --bmc1_ground_init false
% 0.20/0.51 % --bmc1_pre_inst_next_state false
% 0.20/0.51 % --bmc1_pre_inst_state false
% 0.20/0.51 % --bmc1_pre_inst_reach_state false
% 0.20/0.51 % --bmc1_out_unsat_core false
% 0.20/0.51 % --bmc1_aig_witness_out false
% 0.20/0.51 % --bmc1_verbose false
% 0.20/0.51 % --bmc1_dump_clauses_tptp false
% 2.69/3.20 % --bmc1_dump_unsat_core_tptp false
% 2.69/3.20 % --bmc1_dump_file -
% 2.69/3.20 % --bmc1_ucm_expand_uc_limit 128
% 2.69/3.20 % --bmc1_ucm_n_expand_iterations 6
% 2.69/3.20 % --bmc1_ucm_extend_mode 1
% 2.69/3.20 % --bmc1_ucm_init_mode 2
% 2.69/3.20 % --bmc1_ucm_cone_mode none
% 2.69/3.20 % --bmc1_ucm_reduced_relation_type 0
% 2.69/3.20 % --bmc1_ucm_relax_model 4
% 2.69/3.20 % --bmc1_ucm_full_tr_after_sat true
% 2.69/3.20 % --bmc1_ucm_expand_neg_assumptions false
% 2.69/3.20 % --bmc1_ucm_layered_model none
% 2.69/3.20 % --bmc1_ucm_max_lemma_size 10
% 2.69/3.20
% 2.69/3.20 % ------ AIG Options
% 2.69/3.20
% 2.69/3.20 % --aig_mode false
% 2.69/3.20
% 2.69/3.20 % ------ Instantiation Options
% 2.69/3.20
% 2.69/3.20 % --instantiation_flag true
% 2.69/3.20 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 2.69/3.20 % --inst_solver_per_active 750
% 2.69/3.20 % --inst_solver_calls_frac 0.5
% 2.69/3.20 % --inst_passive_queue_type priority_queues
% 2.69/3.20 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 2.69/3.20 % --inst_passive_queues_freq [25;2]
% 2.69/3.20 % --inst_dismatching true
% 2.69/3.20 % --inst_eager_unprocessed_to_passive true
% 2.69/3.20 % --inst_prop_sim_given true
% 2.69/3.20 % --inst_prop_sim_new false
% 2.69/3.20 % --inst_orphan_elimination true
% 2.69/3.20 % --inst_learning_loop_flag true
% 2.69/3.20 % --inst_learning_start 3000
% 2.69/3.20 % --inst_learning_factor 2
% 2.69/3.20 % --inst_start_prop_sim_after_learn 3
% 2.69/3.20 % --inst_sel_renew solver
% 2.69/3.20 % --inst_lit_activity_flag true
% 2.69/3.20 % --inst_out_proof true
% 2.69/3.20
% 2.69/3.20 % ------ Resolution Options
% 2.69/3.20
% 2.69/3.20 % --resolution_flag true
% 2.69/3.20 % --res_lit_sel kbo_max
% 2.69/3.20 % --res_to_prop_solver none
% 2.69/3.20 % --res_prop_simpl_new false
% 2.69/3.20 % --res_prop_simpl_given false
% 2.69/3.20 % --res_passive_queue_type priority_queues
% 2.69/3.20 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.69/3.20 % --res_passive_queues_freq [15;5]
% 2.69/3.20 % --res_forward_subs full
% 2.69/3.20 % --res_backward_subs full
% 2.69/3.20 % --res_forward_subs_resolution true
% 2.69/3.20 % --res_backward_subs_resolution true
% 2.69/3.20 % --res_orphan_elimination false
% 2.69/3.20 % --res_time_limit 1000.
% 2.69/3.20 % --res_out_proof true
% 2.69/3.20 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_87b563.s
% 2.69/3.20 % --modulo true
% 2.69/3.20
% 2.69/3.20 % ------ Combination Options
% 2.69/3.20
% 2.69/3.20 % --comb_res_mult 1000
% 2.69/3.20 % --comb_inst_mult 300
% 2.69/3.20 % ------
% 2.69/3.20
% 2.69/3.20 % ------ Parsing...% successful
% 2.69/3.20
% 2.69/3.20 % ------ 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 %
% 2.69/3.20
% 2.69/3.20 % ------ Proving...
% 2.69/3.20 % ------ Problem Properties
% 2.69/3.20
% 2.69/3.20 %
% 2.69/3.20 % EPR false
% 2.69/3.20 % Horn false
% 2.69/3.20 % Has equality true
% 2.69/3.20
% 2.69/3.20 % % ------ Input Options Time Limit: Unbounded
% 2.69/3.20
% 2.69/3.20
% 2.69/3.20 Compiling...
% 2.69/3.20 Loading plugin: done.
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% 2.69/3.20 Compiling...
% 2.69/3.20 Loading plugin: done.
% 2.69/3.20 % % ------ Current options:
% 2.69/3.20
% 2.69/3.20 % ------ Input Options
% 2.69/3.20
% 2.69/3.20 % --out_options all
% 2.69/3.20 % --tptp_safe_out true
% 2.69/3.20 % --problem_path ""
% 2.69/3.20 % --include_path ""
% 2.69/3.20 % --clausifier .//eprover
% 2.69/3.20 % --clausifier_options --tstp-format
% 2.69/3.20 % --stdin false
% 2.69/3.20 % --dbg_backtrace false
% 2.69/3.20 % --dbg_dump_prop_clauses false
% 2.69/3.20 % --dbg_dump_prop_clauses_file -
% 2.69/3.20 % --dbg_out_stat false
% 2.69/3.20
% 2.69/3.20 % ------ General Options
% 2.69/3.20
% 2.69/3.20 % --fof false
% 2.69/3.20 % --time_out_real 150.
% 2.69/3.20 % --time_out_prep_mult 0.2
% 2.69/3.20 % --time_out_virtual -1.
% 2.69/3.20 % --schedule none
% 2.69/3.20 % --ground_splitting input
% 2.69/3.20 % --splitting_nvd 16
% 2.69/3.20 % --non_eq_to_eq false
% 2.69/3.20 % --prep_gs_sim true
% 2.69/3.20 % --prep_unflatten false
% 2.69/3.20 % --prep_res_sim true
% 2.69/3.20 % --prep_upred true
% 2.69/3.20 % --res_sim_input true
% 2.69/3.20 % --clause_weak_htbl true
% 2.69/3.20 % --gc_record_bc_elim false
% 2.69/3.20 % --symbol_type_check false
% 2.69/3.20 % --clausify_out false
% 2.69/3.20 % --large_theory_mode false
% 2.69/3.20 % --prep_sem_filter none
% 2.69/3.20 % --prep_sem_filter_out false
% 2.69/3.20 % --preprocessed_out false
% 2.69/3.20 % --sub_typing false
% 2.69/3.20 % --brand_transform false
% 2.69/3.20 % --pure_diseq_elim true
% 2.69/3.20 % --min_unsat_core false
% 2.69/3.20 % --pred_elim true
% 2.69/3.20 % --add_important_lit false
% 2.69/3.20 % --soft_assumptions false
% 2.69/3.20 % --reset_solvers false
% 2.69/3.20 % --bc_imp_inh []
% 2.69/3.20 % --conj_cone_tolerance 1.5
% 2.69/3.20 % --prolific_symb_bound 500
% 2.69/3.20 % --lt_threshold 2000
% 2.69/3.20
% 2.69/3.20 % ------ SAT Options
% 2.69/3.20
% 2.69/3.20 % --sat_mode false
% 2.69/3.20 % --sat_fm_restart_options ""
% 2.69/3.20 % --sat_gr_def false
% 2.69/3.20 % --sat_epr_types true
% 2.69/3.20 % --sat_non_cyclic_types false
% 2.69/3.20 % --sat_finite_models false
% 2.69/3.20 % --sat_fm_lemmas false
% 2.69/3.20 % --sat_fm_prep false
% 2.69/3.20 % --sat_fm_uc_incr true
% 2.69/3.20 % --sat_out_model small
% 2.69/3.20 % --sat_out_clauses false
% 2.69/3.20
% 2.69/3.20 % ------ QBF Options
% 2.69/3.20
% 2.69/3.20 % --qbf_mode false
% 2.69/3.20 % --qbf_elim_univ true
% 2.69/3.20 % --qbf_sk_in true
% 2.69/3.20 % --qbf_pred_elim true
% 2.69/3.20 % --qbf_split 32
% 2.69/3.20
% 2.69/3.20 % ------ BMC1 Options
% 2.69/3.20
% 2.69/3.20 % --bmc1_incremental false
% 2.69/3.20 % --bmc1_axioms reachable_all
% 2.69/3.20 % --bmc1_min_bound 0
% 2.69/3.20 % --bmc1_max_bound -1
% 2.69/3.20 % --bmc1_max_bound_default -1
% 2.69/3.20 % --bmc1_symbol_reachability true
% 2.69/3.20 % --bmc1_property_lemmas false
% 2.69/3.20 % --bmc1_k_induction false
% 2.69/3.20 % --bmc1_non_equiv_states false
% 2.69/3.20 % --bmc1_deadlock false
% 2.69/3.20 % --bmc1_ucm false
% 2.69/3.20 % --bmc1_add_unsat_core none
% 2.69/3.20 % --bmc1_unsat_core_children false
% 2.69/3.20 % --bmc1_unsat_core_extrapolate_axioms false
% 2.69/3.20 % --bmc1_out_stat full
% 2.69/3.20 % --bmc1_ground_init false
% 2.69/3.20 % --bmc1_pre_inst_next_state false
% 2.69/3.20 % --bmc1_pre_inst_state false
% 2.69/3.20 % --bmc1_pre_inst_reach_state false
% 2.69/3.20 % --bmc1_out_unsat_core false
% 2.69/3.20 % --bmc1_aig_witness_out false
% 2.69/3.20 % --bmc1_verbose false
% 2.69/3.20 % --bmc1_dump_clauses_tptp false
% 2.69/3.20 % --bmc1_dump_unsat_core_tptp false
% 2.69/3.20 % --bmc1_dump_file -
% 2.69/3.20 % --bmc1_ucm_expand_uc_limit 128
% 2.69/3.20 % --bmc1_ucm_n_expand_iterations 6
% 2.69/3.20 % --bmc1_ucm_extend_mode 1
% 2.69/3.20 % --bmc1_ucm_init_mode 2
% 2.69/3.20 % --bmc1_ucm_cone_mode none
% 2.69/3.20 % --bmc1_ucm_reduced_relation_type 0
% 2.69/3.20 % --bmc1_ucm_relax_model 4
% 2.69/3.20 % --bmc1_ucm_full_tr_after_sat true
% 2.69/3.20 % --bmc1_ucm_expand_neg_assumptions false
% 2.69/3.20 % --bmc1_ucm_layered_model none
% 2.69/3.20 % --bmc1_ucm_max_lemma_size 10
% 150.19/150.51
% 150.19/150.51 % ------ AIG Options
% 150.19/150.51
% 150.19/150.51 % --aig_mode false
% 150.19/150.51
% 150.19/150.51 % ------ Instantiation Options
% 150.19/150.51
% 150.19/150.51 % --instantiation_flag true
% 150.19/150.51 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.19/150.51 % --inst_solver_per_active 750
% 150.19/150.51 % --inst_solver_calls_frac 0.5
% 150.19/150.51 % --inst_passive_queue_type priority_queues
% 150.19/150.51 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.19/150.51 % --inst_passive_queues_freq [25;2]
% 150.19/150.51 % --inst_dismatching true
% 150.19/150.51 % --inst_eager_unprocessed_to_passive true
% 150.19/150.51 % --inst_prop_sim_given true
% 150.19/150.51 % --inst_prop_sim_new false
% 150.19/150.51 % --inst_orphan_elimination true
% 150.19/150.51 % --inst_learning_loop_flag true
% 150.19/150.51 % --inst_learning_start 3000
% 150.19/150.51 % --inst_learning_factor 2
% 150.19/150.51 % --inst_start_prop_sim_after_learn 3
% 150.19/150.51 % --inst_sel_renew solver
% 150.19/150.51 % --inst_lit_activity_flag true
% 150.19/150.51 % --inst_out_proof true
% 150.19/150.51
% 150.19/150.51 % ------ Resolution Options
% 150.19/150.51
% 150.19/150.51 % --resolution_flag true
% 150.19/150.51 % --res_lit_sel kbo_max
% 150.19/150.51 % --res_to_prop_solver none
% 150.19/150.51 % --res_prop_simpl_new false
% 150.19/150.51 % --res_prop_simpl_given false
% 150.19/150.51 % --res_passive_queue_type priority_queues
% 150.19/150.51 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.19/150.51 % --res_passive_queues_freq [15;5]
% 150.19/150.51 % --res_forward_subs full
% 150.19/150.51 % --res_backward_subs full
% 150.19/150.51 % --res_forward_subs_resolution true
% 150.19/150.51 % --res_backward_subs_resolution true
% 150.19/150.51 % --res_orphan_elimination false
% 150.19/150.51 % --res_time_limit 1000.
% 150.19/150.51 % --res_out_proof true
% 150.19/150.51 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_87b563.s
% 150.19/150.51 % --modulo true
% 150.19/150.51
% 150.19/150.51 % ------ Combination Options
% 150.19/150.51
% 150.19/150.51 % --comb_res_mult 1000
% 150.19/150.51 % --comb_inst_mult 300
% 150.19/150.51 % ------
% 150.19/150.51
% 150.19/150.51
% 150.19/150.51
% 150.19/150.51 % ------ Proving...
% 150.19/150.51 %
% 150.19/150.51
% 150.19/150.51
% 150.19/150.51 % Time Out Real
% 150.19/150.51
% 150.19/150.51 % ------ Statistics
% 150.19/150.51
% 150.19/150.51 % ------ General
% 150.19/150.51
% 150.19/150.51 % num_of_input_clauses: 967
% 150.19/150.51 % num_of_input_neg_conjectures: 1
% 150.19/150.51 % num_of_splits: 0
% 150.19/150.51 % num_of_split_atoms: 0
% 150.19/150.51 % num_of_sem_filtered_clauses: 0
% 150.19/150.51 % num_of_subtypes: 0
% 150.19/150.51 % monotx_restored_types: 0
% 150.19/150.51 % sat_num_of_epr_types: 0
% 150.19/150.51 % sat_num_of_non_cyclic_types: 0
% 150.19/150.51 % sat_guarded_non_collapsed_types: 0
% 150.19/150.51 % is_epr: 0
% 150.19/150.51 % is_horn: 0
% 150.19/150.51 % has_eq: 1
% 150.19/150.51 % num_pure_diseq_elim: 0
% 150.19/150.51 % simp_replaced_by: 0
% 150.19/150.51 % res_preprocessed: 2
% 150.19/150.51 % prep_upred: 0
% 150.19/150.51 % prep_unflattend: 0
% 150.19/150.51 % pred_elim_cands: 0
% 150.19/150.51 % pred_elim: 0
% 150.19/150.51 % pred_elim_cl: 0
% 150.19/150.51 % pred_elim_cycles: 0
% 150.19/150.51 % forced_gc_time: 0
% 150.19/150.51 % gc_basic_clause_elim: 0
% 150.19/150.51 % parsing_time: 0.062
% 150.19/150.51 % sem_filter_time: 0.
% 150.19/150.51 % pred_elim_time: 0.
% 150.19/150.51 % out_proof_time: 0.
% 150.19/150.51 % monotx_time: 0.
% 150.19/150.51 % subtype_inf_time: 0.
% 150.19/150.51 % unif_index_cands_time: 0.077
% 150.19/150.51 % unif_index_add_time: 0.142
% 150.19/150.51 % total_time: 150.017
% 150.19/150.51 % num_of_symbols: 132
% 150.19/150.51 % num_of_terms: 615254
% 150.19/150.51
% 150.19/150.51 % ------ Propositional Solver
% 150.19/150.51
% 150.19/150.51 % prop_solver_calls: 9
% 150.19/150.51 % prop_fast_solver_calls: 3
% 150.19/150.51 % prop_num_of_clauses: 10731
% 150.19/150.51 % prop_preprocess_simplified: 12169
% 150.19/150.51 % prop_fo_subsumed: 0
% 150.19/150.51 % prop_solver_time: 0.001
% 150.19/150.51 % prop_fast_solver_time: 0.
% 150.19/150.51 % prop_unsat_core_time: 0.
% 150.19/150.51
% 150.19/150.51 % ------ QBF
% 150.19/150.51
% 150.19/150.51 % qbf_q_res: 0
% 150.19/150.51 % qbf_num_tautologies: 0
% 150.19/150.51 % qbf_prep_cycles: 0
% 150.19/150.51
% 150.19/150.51 % ------ BMC1
% 150.19/150.51
% 150.19/150.51 % bmc1_current_bound: -1
% 150.19/150.51 % bmc1_last_solved_bound: -1
% 150.19/150.51 % bmc1_unsat_core_size: -1
% 150.19/150.51 % bmc1_unsat_core_parents_size: -1
% 150.19/150.51 % bmc1_merge_next_fun: 0
% 150.19/150.51 % bmc1_unsat_core_clauses_time: 0.
% 150.19/150.51
% 150.19/150.51 % ------ Instantiation
% 150.19/150.51
% 150.19/150.51 % inst_num_of_clauses: 6193
% 150.19/150.51 % inst_num_in_passive: 3203
% 150.19/150.51 % inst_num_in_active: 1343
% 150.19/150.51 % inst_num_in_unprocessed: 1638
% 150.19/150.51 % inst_num_of_loops: 1500
% 150.19/150.51 % inst_num_of_learning_restarts: 0
% 150.19/150.51 % inst_num_moves_active_passive: 147
% 150.19/150.51 % inst_lit_activity: 1510
% 150.19/150.51 % inst_lit_activity_moves: 1
% 150.19/150.51 % inst_num_tautologies: 9
% 150.19/150.51 % inst_num_prop_implied: 0
% 150.19/150.51 % inst_num_existing_simplified: 0
% 150.19/150.51 % inst_num_eq_res_simplified: 0
% 150.19/150.51 % inst_num_child_elim: 0
% 150.19/150.51 % inst_num_of_dismatching_blockings: 1885
% 150.19/150.51 % inst_num_of_non_proper_insts: 4924
% 150.19/150.51 % inst_num_of_duplicates: 7187
% 150.19/150.51 % inst_inst_num_from_inst_to_res: 0
% 150.19/150.51 % inst_dismatching_checking_time: 0.031
% 150.19/150.51
% 150.19/150.51 % ------ Resolution
% 150.19/150.51
% 150.19/150.51 % res_num_of_clauses: 59796
% 150.19/150.51 % res_num_in_passive: 53517
% 150.19/150.51 % res_num_in_active: 5705
% 150.19/150.51 % res_num_of_loops: 5470
% 150.19/150.51 % res_forward_subset_subsumed: 10556
% 150.19/150.51 % res_backward_subset_subsumed: 21
% 150.19/150.51 % res_forward_subsumed: 121
% 150.19/150.51 % res_backward_subsumed: 0
% 150.19/150.51 % res_forward_subsumption_resolution: 95
% 150.19/150.51 % res_backward_subsumption_resolution: 0
% 150.19/150.51 % res_clause_to_clause_subsumption: 62942
% 150.19/150.51 % res_orphan_elimination: 0
% 150.19/150.51 % res_tautology_del: 0
% 150.19/150.51 % res_num_eq_res_simplified: 0
% 150.19/150.51 % res_num_sel_changes: 0
% 150.19/150.51 % res_moves_from_active_to_pass: 0
% 150.19/150.51
% 150.19/150.51 % Status Unknown
% 150.23/150.63 % Orienting using strategy ClausalAll
% 150.23/150.63 % Orientation found
% 150.23/150.63 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_87b563.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_0c268b.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_5e2131 | grep -v "SZS"
% 150.23/150.64
% 150.23/150.64 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.23/150.64
% 150.23/150.64 %
% 150.23/150.64 % ------ iProver source info
% 150.23/150.64
% 150.23/150.64 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.23/150.64 % git: non_committed_changes: true
% 150.23/150.64 % git: last_make_outside_of_git: true
% 150.23/150.64
% 150.23/150.64 %
% 150.23/150.64 % ------ Input Options
% 150.23/150.64
% 150.23/150.64 % --out_options all
% 150.23/150.64 % --tptp_safe_out true
% 150.23/150.64 % --problem_path ""
% 150.23/150.64 % --include_path ""
% 150.23/150.64 % --clausifier .//eprover
% 150.23/150.64 % --clausifier_options --tstp-format
% 150.23/150.64 % --stdin false
% 150.23/150.64 % --dbg_backtrace false
% 150.23/150.64 % --dbg_dump_prop_clauses false
% 150.23/150.64 % --dbg_dump_prop_clauses_file -
% 150.23/150.64 % --dbg_out_stat false
% 150.23/150.64
% 150.23/150.64 % ------ General Options
% 150.23/150.64
% 150.23/150.64 % --fof false
% 150.23/150.64 % --time_out_real 150.
% 150.23/150.64 % --time_out_prep_mult 0.2
% 150.23/150.64 % --time_out_virtual -1.
% 150.23/150.64 % --schedule none
% 150.23/150.64 % --ground_splitting input
% 150.23/150.64 % --splitting_nvd 16
% 150.23/150.64 % --non_eq_to_eq false
% 150.23/150.64 % --prep_gs_sim true
% 150.23/150.64 % --prep_unflatten false
% 150.23/150.64 % --prep_res_sim true
% 150.23/150.64 % --prep_upred true
% 150.23/150.64 % --res_sim_input true
% 150.23/150.64 % --clause_weak_htbl true
% 150.23/150.64 % --gc_record_bc_elim false
% 150.23/150.64 % --symbol_type_check false
% 150.23/150.64 % --clausify_out false
% 150.23/150.64 % --large_theory_mode false
% 150.23/150.64 % --prep_sem_filter none
% 150.23/150.64 % --prep_sem_filter_out false
% 150.23/150.64 % --preprocessed_out false
% 150.23/150.64 % --sub_typing false
% 150.23/150.64 % --brand_transform false
% 150.23/150.64 % --pure_diseq_elim true
% 150.23/150.64 % --min_unsat_core false
% 150.23/150.64 % --pred_elim true
% 150.23/150.64 % --add_important_lit false
% 150.23/150.64 % --soft_assumptions false
% 150.23/150.64 % --reset_solvers false
% 150.23/150.64 % --bc_imp_inh []
% 150.23/150.64 % --conj_cone_tolerance 1.5
% 150.23/150.64 % --prolific_symb_bound 500
% 150.23/150.64 % --lt_threshold 2000
% 150.23/150.64
% 150.23/150.64 % ------ SAT Options
% 150.23/150.64
% 150.23/150.64 % --sat_mode false
% 150.23/150.64 % --sat_fm_restart_options ""
% 150.23/150.64 % --sat_gr_def false
% 150.23/150.64 % --sat_epr_types true
% 150.23/150.64 % --sat_non_cyclic_types false
% 150.23/150.64 % --sat_finite_models false
% 150.23/150.64 % --sat_fm_lemmas false
% 150.23/150.64 % --sat_fm_prep false
% 150.23/150.64 % --sat_fm_uc_incr true
% 150.23/150.64 % --sat_out_model small
% 150.23/150.64 % --sat_out_clauses false
% 150.23/150.64
% 150.23/150.64 % ------ QBF Options
% 150.23/150.64
% 150.23/150.64 % --qbf_mode false
% 150.23/150.64 % --qbf_elim_univ true
% 150.23/150.64 % --qbf_sk_in true
% 150.23/150.64 % --qbf_pred_elim true
% 150.23/150.64 % --qbf_split 32
% 150.23/150.64
% 150.23/150.64 % ------ BMC1 Options
% 150.23/150.64
% 150.23/150.64 % --bmc1_incremental false
% 150.23/150.64 % --bmc1_axioms reachable_all
% 150.23/150.64 % --bmc1_min_bound 0
% 150.23/150.64 % --bmc1_max_bound -1
% 150.23/150.64 % --bmc1_max_bound_default -1
% 150.23/150.64 % --bmc1_symbol_reachability true
% 150.23/150.64 % --bmc1_property_lemmas false
% 150.23/150.64 % --bmc1_k_induction false
% 150.23/150.64 % --bmc1_non_equiv_states false
% 150.23/150.64 % --bmc1_deadlock false
% 150.23/150.64 % --bmc1_ucm false
% 150.23/150.64 % --bmc1_add_unsat_core none
% 150.23/150.64 % --bmc1_unsat_core_children false
% 150.23/150.64 % --bmc1_unsat_core_extrapolate_axioms false
% 150.23/150.64 % --bmc1_out_stat full
% 150.23/150.64 % --bmc1_ground_init false
% 150.23/150.64 % --bmc1_pre_inst_next_state false
% 150.23/150.64 % --bmc1_pre_inst_state false
% 150.23/150.64 % --bmc1_pre_inst_reach_state false
% 150.23/150.64 % --bmc1_out_unsat_core false
% 150.23/150.64 % --bmc1_aig_witness_out false
% 150.23/150.64 % --bmc1_verbose false
% 150.23/150.64 % --bmc1_dump_clauses_tptp false
% 152.89/153.20 % --bmc1_dump_unsat_core_tptp false
% 152.89/153.20 % --bmc1_dump_file -
% 152.89/153.20 % --bmc1_ucm_expand_uc_limit 128
% 152.89/153.20 % --bmc1_ucm_n_expand_iterations 6
% 152.89/153.20 % --bmc1_ucm_extend_mode 1
% 152.89/153.20 % --bmc1_ucm_init_mode 2
% 152.89/153.20 % --bmc1_ucm_cone_mode none
% 152.89/153.20 % --bmc1_ucm_reduced_relation_type 0
% 152.89/153.20 % --bmc1_ucm_relax_model 4
% 152.89/153.20 % --bmc1_ucm_full_tr_after_sat true
% 152.89/153.20 % --bmc1_ucm_expand_neg_assumptions false
% 152.89/153.20 % --bmc1_ucm_layered_model none
% 152.89/153.20 % --bmc1_ucm_max_lemma_size 10
% 152.89/153.20
% 152.89/153.20 % ------ AIG Options
% 152.89/153.20
% 152.89/153.20 % --aig_mode false
% 152.89/153.20
% 152.89/153.20 % ------ Instantiation Options
% 152.89/153.20
% 152.89/153.20 % --instantiation_flag true
% 152.89/153.20 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 152.89/153.20 % --inst_solver_per_active 750
% 152.89/153.20 % --inst_solver_calls_frac 0.5
% 152.89/153.20 % --inst_passive_queue_type priority_queues
% 152.89/153.20 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 152.89/153.20 % --inst_passive_queues_freq [25;2]
% 152.89/153.20 % --inst_dismatching true
% 152.89/153.20 % --inst_eager_unprocessed_to_passive true
% 152.89/153.20 % --inst_prop_sim_given true
% 152.89/153.20 % --inst_prop_sim_new false
% 152.89/153.20 % --inst_orphan_elimination true
% 152.89/153.20 % --inst_learning_loop_flag true
% 152.89/153.20 % --inst_learning_start 3000
% 152.89/153.20 % --inst_learning_factor 2
% 152.89/153.20 % --inst_start_prop_sim_after_learn 3
% 152.89/153.20 % --inst_sel_renew solver
% 152.89/153.20 % --inst_lit_activity_flag true
% 152.89/153.20 % --inst_out_proof true
% 152.89/153.20
% 152.89/153.20 % ------ Resolution Options
% 152.89/153.20
% 152.89/153.20 % --resolution_flag true
% 152.89/153.20 % --res_lit_sel kbo_max
% 152.89/153.20 % --res_to_prop_solver none
% 152.89/153.20 % --res_prop_simpl_new false
% 152.89/153.20 % --res_prop_simpl_given false
% 152.89/153.20 % --res_passive_queue_type priority_queues
% 152.89/153.20 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 152.89/153.20 % --res_passive_queues_freq [15;5]
% 152.89/153.20 % --res_forward_subs full
% 152.89/153.20 % --res_backward_subs full
% 152.89/153.20 % --res_forward_subs_resolution true
% 152.89/153.20 % --res_backward_subs_resolution true
% 152.89/153.20 % --res_orphan_elimination false
% 152.89/153.20 % --res_time_limit 1000.
% 152.89/153.20 % --res_out_proof true
% 152.89/153.20 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_87b563.s
% 152.89/153.20 % --modulo true
% 152.89/153.20
% 152.89/153.20 % ------ Combination Options
% 152.89/153.20
% 152.89/153.20 % --comb_res_mult 1000
% 152.89/153.20 % --comb_inst_mult 300
% 152.89/153.20 % ------
% 152.89/153.20
% 152.89/153.20 % ------ Parsing...% successful
% 152.89/153.20
% 152.89/153.20 % ------ 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 %
% 152.89/153.20
% 152.89/153.20 % ------ Proving...
% 152.89/153.20 % ------ Problem Properties
% 152.89/153.20
% 152.89/153.20 %
% 152.89/153.20 % EPR false
% 152.89/153.20 % Horn false
% 152.89/153.20 % Has equality true
% 152.89/153.20
% 152.89/153.20 % % ------ Input Options Time Limit: Unbounded
% 152.89/153.20
% 152.89/153.20
% 152.89/153.20 Compiling...
% 152.89/153.20 Loading plugin: done.
% 152.89/153.20 Compiling...
% 152.89/153.20 Loading plugin: done.
% 152.89/153.20 Compiling...
% 152.89/153.20 Loading plugin: done.
% 152.89/153.20 Compiling...
% 152.89/153.20 Loading plugin: done.
% 152.89/153.20 Compiling...
% 152.89/153.20 Loading plugin: done.
% 152.89/153.20 Compiling...
% 152.89/153.20 Loading plugin: done.
% 152.89/153.20 Compiling...
% 152.89/153.20 Loading plugin: done.
% 152.89/153.20 Compiling...
% 152.89/153.20 Loading plugin: done.
% 152.89/153.20 Compiling...
% 152.89/153.20 Loading plugin: done.
% 152.89/153.20 Compiling...
% 152.89/153.20 Loading plugin: done.
% 152.89/153.20 Compiling...
% 152.89/153.20 Loading plugin: done.
% 152.89/153.20 Compiling...
% 152.89/153.20 Loading plugin: done.
% 152.89/153.20 Compiling...
% 152.89/153.20 Loading plugin: done.
% 152.89/153.20 % % ------ Current options:
% 152.89/153.20
% 152.89/153.20 % ------ Input Options
% 152.89/153.20
% 152.89/153.20 % --out_options all
% 152.89/153.20 % --tptp_safe_out true
% 152.89/153.20 % --problem_path ""
% 152.89/153.20 % --include_path ""
% 152.89/153.20 % --clausifier .//eprover
% 152.89/153.20 % --clausifier_options --tstp-format
% 152.89/153.20 % --stdin false
% 152.89/153.20 % --dbg_backtrace false
% 152.89/153.20 % --dbg_dump_prop_clauses false
% 152.89/153.20 % --dbg_dump_prop_clauses_file -
% 152.89/153.20 % --dbg_out_stat false
% 152.89/153.20
% 152.89/153.20 % ------ General Options
% 152.89/153.20
% 152.89/153.20 % --fof false
% 152.89/153.20 % --time_out_real 150.
% 152.89/153.20 % --time_out_prep_mult 0.2
% 152.89/153.20 % --time_out_virtual -1.
% 152.89/153.20 % --schedule none
% 152.89/153.20 % --ground_splitting input
% 152.89/153.20 % --splitting_nvd 16
% 152.89/153.20 % --non_eq_to_eq false
% 152.89/153.20 % --prep_gs_sim true
% 152.89/153.20 % --prep_unflatten false
% 152.89/153.20 % --prep_res_sim true
% 152.89/153.20 % --prep_upred true
% 152.89/153.20 % --res_sim_input true
% 152.89/153.20 % --clause_weak_htbl true
% 152.89/153.20 % --gc_record_bc_elim false
% 152.89/153.20 % --symbol_type_check false
% 152.89/153.20 % --clausify_out false
% 152.89/153.20 % --large_theory_mode false
% 152.89/153.20 % --prep_sem_filter none
% 152.89/153.20 % --prep_sem_filter_out false
% 152.89/153.20 % --preprocessed_out false
% 152.89/153.20 % --sub_typing false
% 152.89/153.20 % --brand_transform false
% 152.89/153.20 % --pure_diseq_elim true
% 152.89/153.20 % --min_unsat_core false
% 152.89/153.20 % --pred_elim true
% 152.89/153.20 % --add_important_lit false
% 152.89/153.20 % --soft_assumptions false
% 152.89/153.20 % --reset_solvers false
% 152.89/153.20 % --bc_imp_inh []
% 152.89/153.20 % --conj_cone_tolerance 1.5
% 152.89/153.20 % --prolific_symb_bound 500
% 152.89/153.20 % --lt_threshold 2000
% 152.89/153.20
% 152.89/153.20 % ------ SAT Options
% 152.89/153.20
% 152.89/153.20 % --sat_mode false
% 152.89/153.20 % --sat_fm_restart_options ""
% 152.89/153.20 % --sat_gr_def false
% 152.89/153.20 % --sat_epr_types true
% 152.89/153.20 % --sat_non_cyclic_types false
% 152.89/153.20 % --sat_finite_models false
% 152.89/153.20 % --sat_fm_lemmas false
% 152.89/153.20 % --sat_fm_prep false
% 152.89/153.20 % --sat_fm_uc_incr true
% 152.89/153.20 % --sat_out_model small
% 152.89/153.20 % --sat_out_clauses false
% 152.89/153.20
% 152.89/153.20 % ------ QBF Options
% 152.89/153.20
% 152.89/153.20 % --qbf_mode false
% 152.89/153.20 % --qbf_elim_univ true
% 152.89/153.20 % --qbf_sk_in true
% 152.89/153.20 % --qbf_pred_elim true
% 152.89/153.20 % --qbf_split 32
% 152.89/153.20
% 152.89/153.20 % ------ BMC1 Options
% 152.89/153.20
% 152.89/153.20 % --bmc1_incremental false
% 152.89/153.20 % --bmc1_axioms reachable_all
% 152.89/153.20 % --bmc1_min_bound 0
% 152.89/153.20 % --bmc1_max_bound -1
% 152.89/153.20 % --bmc1_max_bound_default -1
% 152.89/153.20 % --bmc1_symbol_reachability true
% 152.89/153.20 % --bmc1_property_lemmas false
% 152.89/153.20 % --bmc1_k_induction false
% 152.89/153.20 % --bmc1_non_equiv_states false
% 152.89/153.20 % --bmc1_deadlock false
% 152.89/153.20 % --bmc1_ucm false
% 152.89/153.20 % --bmc1_add_unsat_core none
% 152.89/153.20 % --bmc1_unsat_core_children false
% 152.89/153.20 % --bmc1_unsat_core_extrapolate_axioms false
% 152.89/153.20 % --bmc1_out_stat full
% 152.89/153.20 % --bmc1_ground_init false
% 152.89/153.20 % --bmc1_pre_inst_next_state false
% 152.89/153.20 % --bmc1_pre_inst_state false
% 152.89/153.20 % --bmc1_pre_inst_reach_state false
% 152.89/153.20 % --bmc1_out_unsat_core false
% 152.89/153.20 % --bmc1_aig_witness_out false
% 152.89/153.20 % --bmc1_verbose false
% 152.89/153.20 % --bmc1_dump_clauses_tptp false
% 152.89/153.20 % --bmc1_dump_unsat_core_tptp false
% 152.89/153.20 % --bmc1_dump_file -
% 152.89/153.20 % --bmc1_ucm_expand_uc_limit 128
% 152.89/153.20 % --bmc1_ucm_n_expand_iterations 6
% 152.89/153.20 % --bmc1_ucm_extend_mode 1
% 152.89/153.20 % --bmc1_ucm_init_mode 2
% 152.89/153.20 % --bmc1_ucm_cone_mode none
% 152.89/153.20 % --bmc1_ucm_reduced_relation_type 0
% 152.89/153.20 % --bmc1_ucm_relax_model 4
% 152.89/153.20 % --bmc1_ucm_full_tr_after_sat true
% 152.89/153.20 % --bmc1_ucm_expand_neg_assumptions false
% 152.89/153.20 % --bmc1_ucm_layered_model none
% 152.89/153.20 % --bmc1_ucm_max_lemma_size 10
% 152.89/153.20
% 152.89/153.20 % ------ AIG Options
% 152.89/153.20
% 152.89/153.20 % --aig_mode false
% 152.89/153.20
% 152.89/153.20 % ------ Instantiation Options
% 152.89/153.20
% 152.89/153.20 % --instantiation_flag true
% 152.89/153.20 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 152.89/153.20 % --inst_solver_per_active 750
% 152.89/153.20 % --inst_solver_calls_frac 0.5
% 152.89/153.20 % --inst_passive_queue_type priority_queues
% 152.89/153.20 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 152.89/153.20 % --inst_passive_queues_freq [25;2]
% 152.89/153.20 % --inst_dismatching true
% 152.89/153.20 % --inst_eager_unprocessed_to_passive true
% 152.89/153.20 % --inst_prop_sim_given true
% 152.89/153.20 % --inst_prop_sim_new false
% 152.89/153.20 % --inst_orphan_elimination true
% 152.89/153.20 % --inst_learning_loop_flag true
% 152.89/153.20 % --inst_learning_start 3000
% 152.89/153.20 % --inst_learning_factor 2
% 152.89/153.20 % --inst_start_prop_sim_after_learn 3
% 152.89/153.20 % --inst_sel_renew solver
% 152.89/153.20 % --inst_lit_activity_flag true
% 152.89/153.20 % --inst_out_proof true
% 152.89/153.20
% 152.89/153.20 % ------ Resolution Options
% 152.89/153.20
% 152.89/153.20 % --resolution_flag true
% 152.89/153.20 % --res_lit_sel kbo_max
% 152.89/153.20 % --res_to_prop_solver none
% 152.89/153.20 % --res_prop_simpl_new false
% 152.89/153.20 % --res_prop_simpl_given false
% 152.89/153.20 % --res_passive_queue_type priority_queues
% 152.89/153.20 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 152.89/153.20 % --res_passive_queues_freq [15;5]
% 152.89/153.20 % --res_forward_subs full
% 152.89/153.20 % --res_backward_subs full
% 152.89/153.20 % --res_forward_subs_resolution true
% 152.89/153.20 % --res_backward_subs_resolution true
% 152.89/153.20 % --res_orphan_elimination false
% 152.89/153.20 % --res_time_limit 1000.
% 152.89/153.20 % --res_out_proof true
% 152.89/153.20 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_87b563.s
% 152.89/153.20 % --modulo true
% 152.89/153.20
% 152.89/153.20 % ------ Combination Options
% 152.89/153.20
% 152.89/153.20 % --comb_res_mult 1000
% 152.89/153.20 % --comb_inst_mult 300
% 152.89/153.20 % ------
% 152.89/153.20
% 152.89/153.20
% 152.89/153.20
% 152.89/153.20 % ------ Proving...
% 152.89/153.20 % warning: shown sat in sat incomplete mode
% 152.89/153.20 %
% 152.89/153.20
% 152.89/153.20
% 152.89/153.20
% 152.89/153.20
% 152.89/153.20 cnf(c_962,plain,
% 152.89/153.20 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),X0),X1)))
% 152.89/153.20 | ~ c_Type_Otyping(c_Type_Oshift(X2,X1,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.89/153.20 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.89/153.20 | ~ c_Type_Otyping(X2,X0,v_T____) ),
% 152.89/153.20 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1884_3) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_4109,plain,
% 152.89/153.20 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),X0),X1)))
% 152.89/153.20 | ~ c_Type_Otyping(c_Type_Oshift(X2,X1,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.89/153.20 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.89/153.20 | ~ c_Type_Otyping(X2,X0,v_T____) ),
% 152.89/153.20 inference(copy,[status(esa)],[c_962]) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_4110,plain,
% 152.89/153.20 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),X0),X1)))
% 152.89/153.20 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.89/153.20 | ~ c_Type_Otyping(c_Type_Oshift(X2,X1,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.89/153.20 | ~ c_Type_Otyping(X2,X0,v_T____) ),
% 152.89/153.20 inference(rewriting,[status(thm)],[c_4109]) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_954,plain,
% 152.89/153.20 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2),X1,tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.89/153.20 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2)))
% 152.89/153.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2)),c_HOL_Ozero__class_Ozero(tc_nat)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.89/153.20 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.89/153.20 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1887_3) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_4093,plain,
% 152.89/153.20 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2),X1,tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.89/153.20 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2)))
% 152.89/153.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2)),c_HOL_Ozero__class_Ozero(tc_nat)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.89/153.20 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.89/153.20 inference(copy,[status(esa)],[c_954]) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_4094,plain,
% 152.89/153.20 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2))
% 152.89/153.20 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2)))
% 152.89/153.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2)),c_HOL_Ozero__class_Ozero(tc_nat)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.89/153.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2),X1,tc_Lambda_OdB,tc_Lambda_OdB) = X2 ),
% 152.89/153.20 inference(rewriting,[status(thm)],[c_4093]) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_950,plain,
% 152.89/153.20 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2)))
% 152.89/153.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.89/153.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2)),c_HOL_Ozero__class_Ozero(tc_nat)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.89/153.20 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.89/153.20 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1888_3) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_4085,plain,
% 152.89/153.20 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2)))
% 152.89/153.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.89/153.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2)),c_HOL_Ozero__class_Ozero(tc_nat)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.89/153.20 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.89/153.20 inference(copy,[status(esa)],[c_950]) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_4086,plain,
% 152.89/153.20 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2))
% 152.89/153.20 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2)))
% 152.89/153.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2)),c_HOL_Ozero__class_Ozero(tc_nat)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.89/153.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2 ),
% 152.89/153.20 inference(rewriting,[status(thm)],[c_4085]) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_934,plain,
% 152.89/153.20 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2),X1,tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.89/153.20 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2)))
% 152.89/153.20 | c_List_Olist_OCons(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB) = X1
% 152.89/153.20 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.89/153.20 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1892_3) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_4053,plain,
% 152.89/153.20 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2),X1,tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.89/153.20 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2)))
% 152.89/153.20 | c_List_Olist_OCons(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB) = X1
% 152.89/153.20 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.89/153.20 inference(copy,[status(esa)],[c_934]) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_4054,plain,
% 152.89/153.20 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2))
% 152.89/153.20 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2)))
% 152.89/153.20 | c_List_Olist_OCons(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB) = X1
% 152.89/153.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2),X1,tc_Lambda_OdB,tc_Lambda_OdB) = X2 ),
% 152.89/153.20 inference(rewriting,[status(thm)],[c_4053]) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_930,plain,
% 152.89/153.20 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2)))
% 152.89/153.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.89/153.20 | c_List_Olist_OCons(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB) = X1
% 152.89/153.20 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.89/153.20 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1893_3) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_4045,plain,
% 152.89/153.20 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2)))
% 152.89/153.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.89/153.20 | c_List_Olist_OCons(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB) = X1
% 152.89/153.20 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.89/153.20 inference(copy,[status(esa)],[c_930]) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_4046,plain,
% 152.89/153.20 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2))
% 152.89/153.20 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2)))
% 152.89/153.20 | c_List_Olist_OCons(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB) = X1
% 152.89/153.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2 ),
% 152.89/153.20 inference(rewriting,[status(thm)],[c_4045]) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_926,plain,
% 152.89/153.20 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2),X1,tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.89/153.20 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2)))
% 152.89/153.20 | c_Lambda_OdB_OAbs(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)) = X0
% 152.89/153.20 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.89/153.20 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1894_3) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_4037,plain,
% 152.89/153.20 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2),X1,tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.89/153.20 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2)))
% 152.89/153.20 | c_Lambda_OdB_OAbs(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)) = X0
% 152.89/153.20 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.89/153.20 inference(copy,[status(esa)],[c_926]) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_4038,plain,
% 152.89/153.20 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2))
% 152.89/153.20 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2)))
% 152.89/153.20 | c_Lambda_OdB_OAbs(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)) = X0
% 152.89/153.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2),X1,tc_Lambda_OdB,tc_Lambda_OdB) = X2 ),
% 152.89/153.20 inference(rewriting,[status(thm)],[c_4037]) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_922,plain,
% 152.89/153.20 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2)))
% 152.89/153.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.89/153.20 | c_Lambda_OdB_OAbs(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)) = X0
% 152.89/153.20 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.89/153.20 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1895_3) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_4029,plain,
% 152.89/153.20 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2)))
% 152.89/153.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.89/153.20 | c_Lambda_OdB_OAbs(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)) = X0
% 152.89/153.20 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.89/153.20 inference(copy,[status(esa)],[c_922]) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_4030,plain,
% 152.89/153.20 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2))
% 152.89/153.20 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2)))
% 152.89/153.20 | c_Lambda_OdB_OAbs(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)) = X0
% 152.89/153.20 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2 ),
% 152.89/153.20 inference(rewriting,[status(thm)],[c_4029]) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_913,plain,
% 152.89/153.20 ( 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)
% 152.89/153.20 | ~ c_Type_Otyping(X0,X1,X5)
% 152.89/153.20 | ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4) ),
% 152.89/153.20 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1898_2) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_4011,plain,
% 152.89/153.20 ( 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)
% 152.89/153.20 | ~ c_Type_Otyping(X0,X1,X5)
% 152.89/153.20 | ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4) ),
% 152.89/153.20 inference(copy,[status(esa)],[c_913]) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_4012,plain,
% 152.89/153.20 ( ~ c_Type_Otyping(X0,X1,X2)
% 152.89/153.20 | ~ c_Type_Otypings(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
% 152.89/153.20 | 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) ),
% 152.89/153.20 inference(rewriting,[status(thm)],[c_4011]) ).
% 152.89/153.20
% 152.89/153.20 cnf(c_895,plain,
% 152.89/153.20 ( 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)))
% 152.89/153.21 | ~ 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)))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1905_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3975,plain,
% 152.89/153.21 ( 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)))
% 152.89/153.21 | ~ 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)))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_895]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3976,plain,
% 152.89/153.21 ( ~ 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)))
% 152.89/153.21 | 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)))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3975]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_888,plain,
% 152.89/153.21 ( X0 = X1
% 152.89/153.21 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 152.89/153.21 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1910_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3961,plain,
% 152.89/153.21 ( X0 = X1
% 152.89/153.21 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 152.89/153.21 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_888]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3962,plain,
% 152.89/153.21 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.89/153.21 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 152.89/153.21 | X3 = X4 ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3961]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_832,plain,
% 152.89/153.21 ( c_List_Olist_OCons(X0,X1,X2) = X3
% 152.89/153.21 | c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X0,X1,X4,X3,X2),X3,X2) = X1
% 152.89/153.21 | c_List_Olist_OCons(X0,X1,X2) != c_List_Oappend(X4,X3,X2) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1942_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3849,plain,
% 152.89/153.21 ( c_List_Olist_OCons(X0,X1,X2) = X3
% 152.89/153.21 | c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X0,X1,X4,X3,X2),X3,X2) = X1
% 152.89/153.21 | c_List_Olist_OCons(X0,X1,X2) != c_List_Oappend(X4,X3,X2) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_832]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3850,plain,
% 152.89/153.21 ( c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X0,X1,X2,X3,X4),X3,X4) = X1
% 152.89/153.21 | c_List_Olist_OCons(X0,X1,X4) != c_List_Oappend(X2,X3,X4)
% 152.89/153.21 | c_List_Olist_OCons(X0,X1,X4) = X3 ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3849]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_826,plain,
% 152.89/153.21 ( c_List_Olist_OCons(X0,X1,X2) = X3
% 152.89/153.21 | c_List_Olist_OCons(X0,c_List_Osko__List__XCons__eq__append__conv__1__1(X0,X1,X4,X3,X2),X2) = X4
% 152.89/153.21 | c_List_Olist_OCons(X0,X1,X2) != c_List_Oappend(X4,X3,X2) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1944_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3837,plain,
% 152.89/153.21 ( c_List_Olist_OCons(X0,X1,X2) = X3
% 152.89/153.21 | c_List_Olist_OCons(X0,c_List_Osko__List__XCons__eq__append__conv__1__1(X0,X1,X4,X3,X2),X2) = X4
% 152.89/153.21 | c_List_Olist_OCons(X0,X1,X2) != c_List_Oappend(X4,X3,X2) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_826]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3838,plain,
% 152.89/153.21 ( c_List_Olist_OCons(X0,c_List_Osko__List__XCons__eq__append__conv__1__1(X0,X1,X2,X3,X4),X4) = X2
% 152.89/153.21 | c_List_Olist_OCons(X0,X1,X4) != c_List_Oappend(X2,X3,X4)
% 152.89/153.21 | c_List_Olist_OCons(X0,X1,X4) = X3 ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3837]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_823,plain,
% 152.89/153.21 ( X0 = c_List_Olist_OCons(X1,X2,X3)
% 152.89/153.21 | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X1,X2,X4,X0,X3),X0,X3) = X2
% 152.89/153.21 | c_List_Oappend(X4,X0,X3) != c_List_Olist_OCons(X1,X2,X3) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1945_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3831,plain,
% 152.89/153.21 ( X0 = c_List_Olist_OCons(X1,X2,X3)
% 152.89/153.21 | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X1,X2,X4,X0,X3),X0,X3) = X2
% 152.89/153.21 | c_List_Oappend(X4,X0,X3) != c_List_Olist_OCons(X1,X2,X3) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_823]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3832,plain,
% 152.89/153.21 ( c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X0,X1,X2,X3,X4),X3,X4) = X1
% 152.89/153.21 | c_List_Oappend(X2,X3,X4) != c_List_Olist_OCons(X0,X1,X4)
% 152.89/153.21 | X3 = c_List_Olist_OCons(X0,X1,X4) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3831]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_820,plain,
% 152.89/153.21 ( X0 = c_List_Olist_ONil(X1)
% 152.89/153.21 | c_List_Olist_OCons(X2,c_List_Osko__List__XCons__eq__append__conv__1__1(X2,X3,X0,X4,X1),X1) = X0
% 152.89/153.21 | c_List_Olist_OCons(X2,X3,X1) != c_List_Oappend(X0,X4,X1) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1946_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3825,plain,
% 152.89/153.21 ( X0 = c_List_Olist_ONil(X1)
% 152.89/153.21 | c_List_Olist_OCons(X2,c_List_Osko__List__XCons__eq__append__conv__1__1(X2,X3,X0,X4,X1),X1) = X0
% 152.89/153.21 | c_List_Olist_OCons(X2,X3,X1) != c_List_Oappend(X0,X4,X1) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_820]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3826,plain,
% 152.89/153.21 ( c_List_Olist_OCons(X0,c_List_Osko__List__XCons__eq__append__conv__1__1(X0,X1,X2,X3,X4),X4) = X2
% 152.89/153.21 | c_List_Olist_OCons(X0,X1,X4) != c_List_Oappend(X2,X3,X4)
% 152.89/153.21 | X2 = c_List_Olist_ONil(X4) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3825]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_817,plain,
% 152.89/153.21 ( X0 = c_List_Olist_ONil(X1)
% 152.89/153.21 | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X0,X4,X1),X4,X1) = X3
% 152.89/153.21 | c_List_Oappend(X0,X4,X1) != c_List_Olist_OCons(X2,X3,X1) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1947_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3819,plain,
% 152.89/153.21 ( X0 = c_List_Olist_ONil(X1)
% 152.89/153.21 | c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X0,X4,X1),X4,X1) = X3
% 152.89/153.21 | c_List_Oappend(X0,X4,X1) != c_List_Olist_OCons(X2,X3,X1) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_817]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3820,plain,
% 152.89/153.21 ( c_List_Oappend(c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X0,X1,X2,X3,X4),X3,X4) = X1
% 152.89/153.21 | c_List_Oappend(X2,X3,X4) != c_List_Olist_OCons(X0,X1,X4)
% 152.89/153.21 | X2 = c_List_Olist_ONil(X4) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3819]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_811,plain,
% 152.89/153.21 ( X0 = c_List_Olist_ONil(X1)
% 152.89/153.21 | c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X2,X3,X0,X4,X1),X4,X1) = X3
% 152.89/153.21 | c_List_Olist_OCons(X2,X3,X1) != c_List_Oappend(X0,X4,X1) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1949_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3807,plain,
% 152.89/153.21 ( X0 = c_List_Olist_ONil(X1)
% 152.89/153.21 | c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X2,X3,X0,X4,X1),X4,X1) = X3
% 152.89/153.21 | c_List_Olist_OCons(X2,X3,X1) != c_List_Oappend(X0,X4,X1) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_811]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3808,plain,
% 152.89/153.21 ( c_List_Oappend(c_List_Osko__List__XCons__eq__append__conv__1__1(X0,X1,X2,X3,X4),X3,X4) = X1
% 152.89/153.21 | c_List_Olist_OCons(X0,X1,X4) != c_List_Oappend(X2,X3,X4)
% 152.89/153.21 | X2 = c_List_Olist_ONil(X4) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3807]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_775,plain,
% 152.89/153.21 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 152.89/153.21 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)))
% 152.89/153.21 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)) = X2
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2)) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1966_3) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3735,plain,
% 152.89/153.21 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 152.89/153.21 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)))
% 152.89/153.21 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)) = X2
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2)) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_775]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3736,plain,
% 152.89/153.21 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2))
% 152.89/153.21 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)))
% 152.89/153.21 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 152.89/153.21 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)) = X2 ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3735]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_761,plain,
% 152.89/153.21 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 152.89/153.21 | ~ c_Type_Otyping(X2,X3,X0)
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 152.89/153.21 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X5)))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X4))
% 152.89/153.21 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1971_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3707,plain,
% 152.89/153.21 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 152.89/153.21 | ~ c_Type_Otyping(X2,X3,X0)
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 152.89/153.21 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X5)))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X4))
% 152.89/153.21 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_761]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3708,plain,
% 152.89/153.21 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.89/153.21 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 152.89/153.21 | ~ c_Type_Otyping(X3,X1,X4)
% 152.89/153.21 | c_Type_Otype_OFun(X4,X6) != v_T____ ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3707]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_758,plain,
% 152.89/153.21 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.89/153.21 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 152.89/153.21 | ~ c_Type_Otyping(X3,X1,X4)
% 152.89/153.21 | c_Type_Otype_OFun(X4,X6) != v_T____ ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1971_5) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3701,plain,
% 152.89/153.21 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.89/153.21 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 152.89/153.21 | ~ c_Type_Otyping(X3,X1,X4)
% 152.89/153.21 | c_Type_Otype_OFun(X4,X6) != v_T____ ),
% 152.89/153.21 inference(copy,[status(esa)],[c_758]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3702,plain,
% 152.89/153.21 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 152.89/153.21 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 152.89/153.21 | ~ c_Type_Otyping(X3,X1,X4)
% 152.89/153.21 | c_Type_Otype_OFun(X4,X6) != v_T____ ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3701]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_755,plain,
% 152.89/153.21 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 152.89/153.21 | ~ c_Type_Otyping(X2,X3,X1)
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 152.89/153.21 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X5)))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X4))
% 152.89/153.21 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1972_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3695,plain,
% 152.89/153.21 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 152.89/153.21 | ~ c_Type_Otyping(X2,X3,X1)
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 152.89/153.21 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X5)))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X4))
% 152.89/153.21 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_755]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3696,plain,
% 152.89/153.21 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.89/153.21 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 152.89/153.21 | ~ c_Type_Otyping(X3,X1,X4)
% 152.89/153.21 | c_Type_Otype_OFun(X6,X4) != v_T____ ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3695]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_752,plain,
% 152.89/153.21 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.89/153.21 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 152.89/153.21 | ~ c_Type_Otyping(X3,X1,X4)
% 152.89/153.21 | c_Type_Otype_OFun(X6,X4) != v_T____ ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1972_5) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3689,plain,
% 152.89/153.21 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.89/153.21 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 152.89/153.21 | ~ c_Type_Otyping(X3,X1,X4)
% 152.89/153.21 | c_Type_Otype_OFun(X6,X4) != v_T____ ),
% 152.89/153.21 inference(copy,[status(esa)],[c_752]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3690,plain,
% 152.89/153.21 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 152.89/153.21 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 152.89/153.21 | ~ c_Type_Otyping(X3,X1,X4)
% 152.89/153.21 | c_Type_Otype_OFun(X6,X4) != v_T____ ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3689]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_743,plain,
% 152.89/153.21 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X0),X1)))
% 152.89/153.21 | ~ c_Type_Otyping(c_Type_Oshift(X2,X1,v_T____,tc_Type_Otype),v_a____,X3)
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.89/153.21 | ~ c_Type_Otyping(X2,X0,v_T____) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1976_3) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3671,plain,
% 152.89/153.21 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X0),X1)))
% 152.89/153.21 | ~ c_Type_Otyping(c_Type_Oshift(X2,X1,v_T____,tc_Type_Otype),v_a____,X3)
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.89/153.21 | ~ c_Type_Otyping(X2,X0,v_T____) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_743]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3672,plain,
% 152.89/153.21 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_a____),X0),X1)))
% 152.89/153.21 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.89/153.21 | ~ c_Type_Otyping(c_Type_Oshift(X2,X1,v_T____,tc_Type_Otype),v_a____,X3)
% 152.89/153.21 | ~ c_Type_Otyping(X2,X0,v_T____) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3671]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_723,plain,
% 152.89/153.21 ( c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4)
% 152.89/153.21 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 152.89/153.21 | ~ c_Type_Otyping(X0,X2,X5) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1993_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3631,plain,
% 152.89/153.21 ( c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4)
% 152.89/153.21 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 152.89/153.21 | ~ c_Type_Otyping(X0,X2,X5) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_723]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3632,plain,
% 152.89/153.21 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 152.89/153.21 | c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X5),X1),X4)
% 152.89/153.21 | ~ c_Type_Otyping(X0,X5,X2) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3631]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_713,plain,
% 152.89/153.21 ( c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)) = X0
% 152.89/153.21 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)))
% 152.89/153.21 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)) = X2
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2)) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1997_3) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3611,plain,
% 152.89/153.21 ( c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)) = X0
% 152.89/153.21 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)))
% 152.89/153.21 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)) = X2
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2)) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_713]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3612,plain,
% 152.89/153.21 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2))
% 152.89/153.21 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)))
% 152.89/153.21 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)) = X2
% 152.89/153.21 | c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)) = X0 ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3611]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_711,plain,
% 152.89/153.21 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X1))
% 152.89/153.21 | 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)))
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X2),X3)) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1998_1) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3607,plain,
% 152.89/153.21 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X1))
% 152.89/153.21 | 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)))
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X2),X3)) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_711]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3608,plain,
% 152.89/153.21 ( 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)))
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3))
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3607]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_706,plain,
% 152.89/153.21 ( c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)) = X0
% 152.89/153.21 | hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)),X1) = X2
% 152.89/153.21 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)) = X2
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2)) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1999_3) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3597,plain,
% 152.89/153.21 ( c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)) = X0
% 152.89/153.21 | hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)),X1) = X2
% 152.89/153.21 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)) = X2
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2)) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_706]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3598,plain,
% 152.89/153.21 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2))
% 152.89/153.21 | hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)),X1) = X2
% 152.89/153.21 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)) = X2
% 152.89/153.21 | c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)) = X0 ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3597]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_699,plain,
% 152.89/153.21 ( hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X0,X1),tc_List_Olist(X1)),c_List_Olist_OCons(X2,X3,X1)))
% 152.89/153.21 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X2))
% 152.89/153.21 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X0,X1),tc_List_Olist(X1)),X3)) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2007_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3583,plain,
% 152.89/153.21 ( hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X0,X1),tc_List_Olist(X1)),c_List_Olist_OCons(X2,X3,X1)))
% 152.89/153.21 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X2))
% 152.89/153.21 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X0,X1),tc_List_Olist(X1)),X3)) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_699]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3584,plain,
% 152.89/153.21 ( hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X0,X1),tc_List_Olist(X1)),c_List_Olist_OCons(X2,X3,X1)))
% 152.89/153.21 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X0,X1),tc_List_Olist(X1)),X3))
% 152.89/153.21 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X2)) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3583]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_669,plain,
% 152.89/153.21 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X3),X4),X1))
% 152.89/153.21 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X3),X4),X2)) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2026_0) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3523,plain,
% 152.89/153.21 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X3),X4),X1))
% 152.89/153.21 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X3),X4),X2)) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_669]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3524,plain,
% 152.89/153.21 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.89/153.21 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(X0,X3),X4)) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3523]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_664,plain,
% 152.89/153.21 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2027_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3513,plain,
% 152.89/153.21 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_664]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3514,plain,
% 152.89/153.21 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(X0,X2),X4)) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3513]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_654,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.89/153.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2030_3) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3493,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.89/153.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_654]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3494,plain,
% 152.89/153.21 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 152.89/153.21 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3493]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_649,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 152.89/153.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2031_4) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3483,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 152.89/153.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_649]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3484,plain,
% 152.89/153.21 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.89/153.21 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3483]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_640,plain,
% 152.89/153.21 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 152.89/153.21 | hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_ATP__Linkup_Osko__Nat__Xex__least__nat__less__1__1(X0,X1)),c_HOL_Oone__class_Oone(tc_nat))))
% 152.89/153.21 | ~ hBOOL(hAPP(X0,X1)) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2036_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3465,plain,
% 152.89/153.21 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 152.89/153.21 | hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_ATP__Linkup_Osko__Nat__Xex__least__nat__less__1__1(X0,X1)),c_HOL_Oone__class_Oone(tc_nat))))
% 152.89/153.21 | ~ hBOOL(hAPP(X0,X1)) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_640]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3466,plain,
% 152.89/153.21 ( hBOOL(hAPP(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_ATP__Linkup_Osko__Nat__Xex__least__nat__less__1__1(X0,X1)),c_HOL_Oone__class_Oone(tc_nat))))
% 152.89/153.21 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 152.89/153.21 | ~ hBOOL(hAPP(X0,X1)) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3465]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_612,plain,
% 152.89/153.21 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.89/153.21 | 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)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2051_1) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3409,plain,
% 152.89/153.21 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.89/153.21 | 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)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_612]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3410,plain,
% 152.89/153.21 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.89/153.21 | 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)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3409]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_594,plain,
% 152.89/153.21 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.89/153.21 | 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)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2062_1) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3373,plain,
% 152.89/153.21 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.89/153.21 | 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)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_594]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3374,plain,
% 152.89/153.21 ( 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)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3373]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_587,plain,
% 152.89/153.21 ( ~ c_Type_Otyping(X0,X1,X2)
% 152.89/153.21 | c_Type_Otyping(X0,X3,X2)
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2065_1) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3359,plain,
% 152.89/153.21 ( ~ c_Type_Otyping(X0,X1,X2)
% 152.89/153.21 | c_Type_Otyping(X0,X3,X2)
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_587]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3360,plain,
% 152.89/153.21 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X1))
% 152.89/153.21 | ~ c_Type_Otyping(X2,X0,X3)
% 152.89/153.21 | c_Type_Otyping(X2,X1,X3) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3359]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_586,plain,
% 152.89/153.21 ( c_Type_Otyping(X0,X1,X2)
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X3),X1))
% 152.89/153.21 | ~ c_Type_Otyping(X0,X3,X2) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2065_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3357,plain,
% 152.89/153.21 ( c_Type_Otyping(X0,X1,X2)
% 152.89/153.21 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X3),X1))
% 152.89/153.21 | ~ c_Type_Otyping(X0,X3,X2) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_586]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3358,plain,
% 152.89/153.21 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X1))
% 152.89/153.21 | c_Type_Otyping(X2,X1,X3)
% 152.89/153.21 | ~ c_Type_Otyping(X2,X0,X3) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3357]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_581,plain,
% 152.89/153.21 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.89/153.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2072_1) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3347,plain,
% 152.89/153.21 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.89/153.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_581]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3348,plain,
% 152.89/153.21 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.89/153.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3347]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_577,plain,
% 152.89/153.21 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.89/153.21 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2073_1) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3339,plain,
% 152.89/153.21 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.89/153.21 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_577]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3340,plain,
% 152.89/153.21 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.89/153.21 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3339]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_555,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 152.89/153.21 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2081_3) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3295,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 152.89/153.21 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_555]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3296,plain,
% 152.89/153.21 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.89/153.21 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3295]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_537,plain,
% 152.89/153.21 ( ~ c_List_Olistsp(X0,X1,X2)
% 152.89/153.21 | c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2)
% 152.89/153.21 | ~ c_List_Olistsp(X0,X3,X2) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2088_1) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3259,plain,
% 152.89/153.21 ( ~ c_List_Olistsp(X0,X1,X2)
% 152.89/153.21 | c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2)
% 152.89/153.21 | ~ c_List_Olistsp(X0,X3,X2) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_537]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3260,plain,
% 152.89/153.21 ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 152.89/153.21 | ~ c_List_Olistsp(X0,X2,X3)
% 152.89/153.21 | ~ c_List_Olistsp(X0,X1,X3) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3259]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_533,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.89/153.21 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2090_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3251,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.89/153.21 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_533]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3252,plain,
% 152.89/153.21 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.89/153.21 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.89/153.21 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3251]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_530,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.89/153.21 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2091_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3245,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.89/153.21 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_530]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3246,plain,
% 152.89/153.21 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.89/153.21 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.89/153.21 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3245]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_527,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.89/153.21 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2092_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3239,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.89/153.21 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_527]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3240,plain,
% 152.89/153.21 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.89/153.21 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.89/153.21 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3239]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_506,plain,
% 152.89/153.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.89/153.21 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2115_0) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3197,plain,
% 152.89/153.21 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.89/153.21 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_506]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3198,plain,
% 152.89/153.21 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.89/153.21 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 152.89/153.21 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3197]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_498,plain,
% 152.89/153.21 ( X0 = X1
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 152.89/153.21 | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 152.89/153.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2117_3) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3181,plain,
% 152.89/153.21 ( X0 = X1
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 152.89/153.21 | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 152.89/153.21 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_498]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3182,plain,
% 152.89/153.21 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.89/153.21 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.89/153.21 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 152.89/153.21 | X2 = X3 ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3181]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_426,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.89/153.21 | X0 = X1
% 152.89/153.21 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.89/153.21 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2157_3) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3037,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.89/153.21 | X0 = X1
% 152.89/153.21 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.89/153.21 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_426]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_3038,plain,
% 152.89/153.21 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.89/153.21 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.89/153.21 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 152.89/153.21 | X2 = X1 ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_3037]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_370,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.89/153.21 | X1 = X0
% 152.89/153.21 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2182_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_2925,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.89/153.21 | X1 = X0
% 152.89/153.21 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_370]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_2926,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.89/153.21 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1)
% 152.89/153.21 | X1 = X0 ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_2925]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_365,plain,
% 152.89/153.21 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 152.89/153.21 | c_HOL_Oord__class_Oless(c_ATP__Linkup_Osko__Nat__Xex__least__nat__less__1__1(X0,X1),X1,tc_nat)
% 152.89/153.21 | ~ hBOOL(hAPP(X0,X1)) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2185_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_2915,plain,
% 152.89/153.21 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 152.89/153.21 | c_HOL_Oord__class_Oless(c_ATP__Linkup_Osko__Nat__Xex__least__nat__less__1__1(X0,X1),X1,tc_nat)
% 152.89/153.21 | ~ hBOOL(hAPP(X0,X1)) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_365]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_2916,plain,
% 152.89/153.21 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 152.89/153.21 | ~ hBOOL(hAPP(X0,X1))
% 152.89/153.21 | c_HOL_Oord__class_Oless(c_ATP__Linkup_Osko__Nat__Xex__least__nat__less__1__1(X0,X1),X1,tc_nat) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_2915]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_339,plain,
% 152.89/153.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.89/153.21 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.89/153.21 | ~ class_Power_Opower(X1)
% 152.89/153.21 | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.89/153.21 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.89/153.21 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2203_5) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_2863,plain,
% 152.89/153.21 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.89/153.21 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.89/153.21 | ~ class_Power_Opower(X1)
% 152.89/153.21 | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.89/153.21 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.89/153.21 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_339]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_2864,plain,
% 152.89/153.21 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 152.89/153.21 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 152.89/153.21 | ~ class_Ring__and__Field_Omult__zero(X0)
% 152.89/153.21 | ~ class_Power_Opower(X0)
% 152.89/153.21 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.89/153.21 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_2863]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_334,plain,
% 152.89/153.21 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.89/153.21 | ~ class_Power_Opower(X1)
% 152.89/153.21 | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.89/153.21 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.89/153.21 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2204_4) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_2853,plain,
% 152.89/153.21 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.89/153.21 | ~ class_Power_Opower(X1)
% 152.89/153.21 | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.89/153.21 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.89/153.21 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_334]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_2854,plain,
% 152.89/153.21 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 152.89/153.21 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 152.89/153.21 | ~ class_Ring__and__Field_Omult__zero(X0)
% 152.89/153.21 | ~ class_Power_Opower(X0)
% 152.89/153.21 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_2853]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_329,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.89/153.21 | X1 = X0
% 152.89/153.21 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2206_2) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_2843,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.89/153.21 | X1 = X0
% 152.89/153.21 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 152.89/153.21 inference(copy,[status(esa)],[c_329]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_2844,plain,
% 152.89/153.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.89/153.21 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 152.89/153.21 | X1 = X0 ),
% 152.89/153.21 inference(rewriting,[status(thm)],[c_2843]) ).
% 152.89/153.21
% 152.89/153.21 cnf(c_311,plain,
% 152.89/153.21 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 152.89/153.21 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.89/153.21 | X2 = X1
% 152.89/153.21 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.89/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2211_1) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_2807,plain,
% 152.90/153.21 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 152.90/153.21 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.90/153.21 | X2 = X1
% 152.90/153.21 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.90/153.21 inference(copy,[status(esa)],[c_311]) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_2808,plain,
% 152.90/153.21 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.21 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.90/153.21 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 152.90/153.21 | X1 = X0 ),
% 152.90/153.21 inference(rewriting,[status(thm)],[c_2807]) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_309,plain,
% 152.90/153.21 ( X0 = X1
% 152.90/153.21 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.21 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.90/153.21 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 152.90/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2211_3) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_2803,plain,
% 152.90/153.21 ( X0 = X1
% 152.90/153.21 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.21 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.90/153.21 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 152.90/153.21 inference(copy,[status(esa)],[c_309]) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_2804,plain,
% 152.90/153.21 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.21 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.90/153.21 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 152.90/153.21 | X0 = X1 ),
% 152.90/153.21 inference(rewriting,[status(thm)],[c_2803]) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_289,plain,
% 152.90/153.21 ( X0 = X1
% 152.90/153.21 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.21 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.90/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2222_2) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_2763,plain,
% 152.90/153.21 ( X0 = X1
% 152.90/153.21 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.21 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.90/153.21 inference(copy,[status(esa)],[c_289]) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_2764,plain,
% 152.90/153.21 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.21 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.90/153.21 | X0 = X1 ),
% 152.90/153.21 inference(rewriting,[status(thm)],[c_2763]) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_262,plain,
% 152.90/153.21 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.21 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.90/153.21 | ~ class_Power_Opower(X1)
% 152.90/153.21 | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.90/153.21 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.90/153.21 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.90/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2232_5) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_2709,plain,
% 152.90/153.21 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.21 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.90/153.21 | ~ class_Power_Opower(X1)
% 152.90/153.21 | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.90/153.21 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.90/153.21 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.90/153.21 inference(copy,[status(esa)],[c_262]) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_2710,plain,
% 152.90/153.21 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 152.90/153.21 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 152.90/153.21 | ~ class_Ring__and__Field_Omult__zero(X0)
% 152.90/153.21 | ~ class_Power_Opower(X0)
% 152.90/153.21 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.90/153.21 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.90/153.21 inference(rewriting,[status(thm)],[c_2709]) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_966,negated_conjecture,
% 152.90/153.21 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.90/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_4) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_1306,negated_conjecture,
% 152.90/153.21 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.90/153.21 inference(copy,[status(esa)],[c_966]) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_1310,negated_conjecture,
% 152.90/153.21 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.90/153.21 inference(copy,[status(esa)],[c_1306]) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_1311,negated_conjecture,
% 152.90/153.21 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.90/153.21 inference(copy,[status(esa)],[c_1310]) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_1312,negated_conjecture,
% 152.90/153.21 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.90/153.21 inference(copy,[status(esa)],[c_1311]) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_4117,negated_conjecture,
% 152.90/153.21 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB)),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.90/153.21 inference(copy,[status(esa)],[c_1312]) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_958,plain,
% 152.90/153.21 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2),X1,tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.21 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.21 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2)),c_HOL_Ozero__class_Ozero(tc_nat)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.21 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.90/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1886_3) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_4101,plain,
% 152.90/153.21 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2),X1,tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.21 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.21 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2)),c_HOL_Ozero__class_Ozero(tc_nat)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.21 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.90/153.21 inference(copy,[status(esa)],[c_958]) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_4102,plain,
% 152.90/153.21 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2))
% 152.90/153.21 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2)),c_HOL_Ozero__class_Ozero(tc_nat)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.21 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2),X1,tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.21 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2 ),
% 152.90/153.21 inference(rewriting,[status(thm)],[c_4101]) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_946,plain,
% 152.90/153.21 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2)))
% 152.90/153.21 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2)))
% 152.90/153.21 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2)),c_HOL_Ozero__class_Ozero(tc_nat)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.21 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.90/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1889_3) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_4077,plain,
% 152.90/153.21 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2)))
% 152.90/153.21 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2)))
% 152.90/153.21 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2)),c_HOL_Ozero__class_Ozero(tc_nat)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.21 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.90/153.21 inference(copy,[status(esa)],[c_946]) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_4078,plain,
% 152.90/153.21 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2))
% 152.90/153.21 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2)))
% 152.90/153.21 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2)))
% 152.90/153.21 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2)),c_HOL_Ozero__class_Ozero(tc_nat)),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2 ),
% 152.90/153.21 inference(rewriting,[status(thm)],[c_4077]) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_942,plain,
% 152.90/153.21 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2),X1,tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.21 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.21 | c_List_Olist_OCons(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB) = X1
% 152.90/153.21 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.90/153.21 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1890_3) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_4069,plain,
% 152.90/153.21 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2),X1,tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.21 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.21 | c_List_Olist_OCons(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB) = X1
% 152.90/153.21 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.90/153.21 inference(copy,[status(esa)],[c_942]) ).
% 152.90/153.21
% 152.90/153.21 cnf(c_4070,plain,
% 152.90/153.21 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2))
% 152.90/153.22 | c_List_Olist_OCons(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB) = X1
% 152.90/153.22 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2),X1,tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.22 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2 ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_4069]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_938,plain,
% 152.90/153.22 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2),X1,tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.22 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.22 | c_Lambda_OdB_OAbs(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)) = X0
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1891_3) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_4061,plain,
% 152.90/153.22 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2),X1,tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.22 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.22 | c_Lambda_OdB_OAbs(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)) = X0
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_938]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_4062,plain,
% 152.90/153.22 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2))
% 152.90/153.22 | c_Lambda_OdB_OAbs(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)) = X0
% 152.90/153.22 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2),X1,tc_Lambda_OdB,tc_Lambda_OdB) = X2
% 152.90/153.22 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2),tc_Lambda_OdB,tc_Lambda_OdB) = X2 ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_4061]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_920,plain,
% 152.90/153.22 ( 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
% 152.90/153.22 | ~ 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)) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1896_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_4025,plain,
% 152.90/153.22 ( 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
% 152.90/153.22 | ~ 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)) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_920]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_4026,plain,
% 152.90/153.22 ( ~ 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))
% 152.90/153.22 | 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 ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_4025]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_916,plain,
% 152.90/153.22 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2)))
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2)))
% 152.90/153.22 | c_List_Olist_OCons(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB) = X1
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1897_3) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_4017,plain,
% 152.90/153.22 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2)))
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2)))
% 152.90/153.22 | c_List_Olist_OCons(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB) = X1
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_916]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_4018,plain,
% 152.90/153.22 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2))
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2)))
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2)))
% 152.90/153.22 | c_List_Olist_OCons(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__4(X0,X1,X2),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__5(X0,X1,X2),tc_Lambda_OdB) = X1 ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_4017]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_909,plain,
% 152.90/153.22 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2)))
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2)))
% 152.90/153.22 | c_Lambda_OdB_OAbs(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)) = X0
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1899_3) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_4003,plain,
% 152.90/153.22 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2)))
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2)))
% 152.90/153.22 | c_Lambda_OdB_OAbs(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)) = X0
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2)) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_909]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_4004,plain,
% 152.90/153.22 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB)),X2))
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__1(X0,X1,X2)))
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xapps__betasE__1__2(X0,X1,X2)))
% 152.90/153.22 | c_Lambda_OdB_OAbs(c_ListBeta_Osko__ListBeta__Xapps__betasE__1__3(X0,X1,X2)) = X0 ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_4003]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_906,plain,
% 152.90/153.22 ( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),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)))
% 152.90/153.22 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X1))
% 152.90/153.22 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),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))) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1900_2) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3997,plain,
% 152.90/153.22 ( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),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)))
% 152.90/153.22 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X1))
% 152.90/153.22 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),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))) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_906]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3998,plain,
% 152.90/153.22 ( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),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)))
% 152.90/153.22 | hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),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)))
% 152.90/153.22 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X1)) ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3997]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_904,plain,
% 152.90/153.22 ( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X0),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X0,X2)))
% 152.90/153.22 | ~ 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)) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1901_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3993,plain,
% 152.90/153.22 ( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X0),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X0,X2)))
% 152.90/153.22 | ~ 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)) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_904]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3994,plain,
% 152.90/153.22 ( ~ 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))
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X0,X1,X2))) ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3993]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_902,plain,
% 152.90/153.22 ( 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)))
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1902_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3989,plain,
% 152.90/153.22 ( 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)))
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_902]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_900,plain,
% 152.90/153.22 ( 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)))
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1903_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3985,plain,
% 152.90/153.22 ( 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)))
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_900]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_898,plain,
% 152.90/153.22 ( 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)))
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1904_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3981,plain,
% 152.90/153.22 ( 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)))
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_898]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_891,plain,
% 152.90/153.22 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 152.90/153.22 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1909_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3967,plain,
% 152.90/153.22 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 152.90/153.22 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_891]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_889,plain,
% 152.90/153.22 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.90/153.22 | X4 = X3
% 152.90/153.22 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1910_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3963,plain,
% 152.90/153.22 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.90/153.22 | X4 = X3
% 152.90/153.22 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_889]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3964,plain,
% 152.90/153.22 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.90/153.22 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 152.90/153.22 | X4 = X3 ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3963]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_884,plain,
% 152.90/153.22 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 152.90/153.22 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1912_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3953,plain,
% 152.90/153.22 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 152.90/153.22 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_884]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_880,plain,
% 152.90/153.22 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 152.90/153.22 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1914_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3945,plain,
% 152.90/153.22 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 152.90/153.22 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_880]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_878,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | 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) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1915_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3941,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | 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) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_878]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3942,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | 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) ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3941]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_876,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | ~ c_Type_Otypings(X0,X3,X4) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1917_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3937,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | ~ c_Type_Otypings(X0,X3,X4) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_876]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_874,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1919_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3933,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_874]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_872,plain,
% 152.90/153.22 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.90/153.22 | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1920_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3929,plain,
% 152.90/153.22 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.90/153.22 | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_872]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_869,plain,
% 152.90/153.22 ( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),X2),X3))
% 152.90/153.22 | hBOOL(hAPP(hAPP(X0,X4),X5))
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Oappend(X2,c_List_Olist_OCons(X4,c_List_Olist_ONil(X1),X1),X1)),c_List_Oappend(X3,c_List_Olist_OCons(X5,c_List_Olist_ONil(X1),X1),X1))) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1922_2) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3923,plain,
% 152.90/153.22 ( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),X2),X3))
% 152.90/153.22 | hBOOL(hAPP(hAPP(X0,X4),X5))
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Oappend(X2,c_List_Olist_OCons(X4,c_List_Olist_ONil(X1),X1),X1)),c_List_Oappend(X3,c_List_Olist_OCons(X5,c_List_Olist_ONil(X1),X1),X1))) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_869]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3924,plain,
% 152.90/153.22 ( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X1),X1),X1)),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X1),X1),X1)))
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),X2),X4))
% 152.90/153.22 | hBOOL(hAPP(hAPP(X0,X3),X5)) ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3923]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_867,plain,
% 152.90/153.22 ( X0 = X1
% 152.90/153.22 | 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) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1923_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3919,plain,
% 152.90/153.22 ( X0 = X1
% 152.90/153.22 | 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) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_867]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3920,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | X1 = X3 ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3919]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_865,plain,
% 152.90/153.22 ( X0 = X1
% 152.90/153.22 | 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) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1924_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3915,plain,
% 152.90/153.22 ( X0 = X1
% 152.90/153.22 | 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) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_865]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3916,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | X0 = X2 ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3915]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_863,plain,
% 152.90/153.22 ( X0 = X1
% 152.90/153.22 | 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) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1925_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3911,plain,
% 152.90/153.22 ( X0 = X1
% 152.90/153.22 | 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) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_863]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3912,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | X1 = X3 ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3911]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_861,plain,
% 152.90/153.22 ( X0 = X1
% 152.90/153.22 | 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) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1926_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3907,plain,
% 152.90/153.22 ( X0 = X1
% 152.90/153.22 | 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) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_861]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3908,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | X0 = X2 ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3907]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_859,plain,
% 152.90/153.22 ( 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))
% 152.90/153.22 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1927_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3903,plain,
% 152.90/153.22 ( 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))
% 152.90/153.22 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_859]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3904,plain,
% 152.90/153.22 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 152.90/153.22 | 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)) ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3903]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_857,plain,
% 152.90/153.22 ( X0 = X1
% 152.90/153.22 | 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) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1929_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3899,plain,
% 152.90/153.22 ( X0 = X1
% 152.90/153.22 | 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) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_857]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3900,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | X0 = X2 ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3899]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_855,plain,
% 152.90/153.22 ( c_List_Ofoldl(X0,hAPP(hAPP(X0,X1),X2),X3,X4,X4) = hAPP(hAPP(X0,X1),c_List_Ofoldl(X0,X2,X3,X4,X4))
% 152.90/153.22 | ~ c_OrderedGroup_Osemigroup__add(X0,X4) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1930_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3895,plain,
% 152.90/153.22 ( c_List_Ofoldl(X0,hAPP(hAPP(X0,X1),X2),X3,X4,X4) = hAPP(hAPP(X0,X1),c_List_Ofoldl(X0,X2,X3,X4,X4))
% 152.90/153.22 | ~ c_OrderedGroup_Osemigroup__add(X0,X4) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_855]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3896,plain,
% 152.90/153.22 ( ~ c_OrderedGroup_Osemigroup__add(X0,X1)
% 152.90/153.22 | c_List_Ofoldl(X0,hAPP(hAPP(X0,X2),X3),X4,X1,X1) = hAPP(hAPP(X0,X2),c_List_Ofoldl(X0,X3,X4,X1,X1)) ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3895]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_853,plain,
% 152.90/153.22 ( hAPP(hAPP(X0,X1),c_List_Ofoldl(X0,X2,X3,X4,X4)) = c_List_Ofoldl(X0,X1,X3,X4,X4)
% 152.90/153.22 | ~ c_OrderedGroup_Omonoid__add(X2,X0,X4) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1931_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3891,plain,
% 152.90/153.22 ( hAPP(hAPP(X0,X1),c_List_Ofoldl(X0,X2,X3,X4,X4)) = c_List_Ofoldl(X0,X1,X3,X4,X4)
% 152.90/153.22 | ~ c_OrderedGroup_Omonoid__add(X2,X0,X4) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_853]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3892,plain,
% 152.90/153.22 ( ~ c_OrderedGroup_Omonoid__add(X0,X1,X2)
% 152.90/153.22 | hAPP(hAPP(X1,X3),c_List_Ofoldl(X1,X0,X4,X2,X2)) = c_List_Ofoldl(X1,X3,X4,X2,X2) ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3891]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_850,plain,
% 152.90/153.22 ( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),X2),X3))
% 152.90/153.22 | X2 = X3
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Oappend(X2,c_List_Olist_OCons(X4,c_List_Olist_ONil(X1),X1),X1)),c_List_Oappend(X3,c_List_Olist_OCons(X5,c_List_Olist_ONil(X1),X1),X1))) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1932_2) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3885,plain,
% 152.90/153.22 ( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),X2),X3))
% 152.90/153.22 | X2 = X3
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Oappend(X2,c_List_Olist_OCons(X4,c_List_Olist_ONil(X1),X1),X1)),c_List_Oappend(X3,c_List_Olist_OCons(X5,c_List_Olist_ONil(X1),X1),X1))) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_850]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3886,plain,
% 152.90/153.22 ( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X1),X1),X1)),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X1),X1),X1)))
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),X2),X4))
% 152.90/153.22 | X2 = X4 ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3885]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_848,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1933_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3881,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_848]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3882,plain,
% 152.90/153.22 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 152.90/153.22 | 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) ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3881]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_845,plain,
% 152.90/153.22 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.90/153.22 | 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
% 152.90/153.22 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1935_2) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3875,plain,
% 152.90/153.22 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.90/153.22 | 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
% 152.90/153.22 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_845]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3876,plain,
% 152.90/153.22 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.90/153.22 | 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
% 152.90/153.22 | X3 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3875]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_843,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB) != X0 ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1936_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3871,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB) != X0 ),
% 152.90/153.22 inference(copy,[status(esa)],[c_843]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_840,plain,
% 152.90/153.22 ( X0 = X1
% 152.90/153.22 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X2,X3),c_List_Oappend(X4,c_List_Olist_OCons(X0,c_List_Olist_ONil(X3),X3),X3)),c_List_Oappend(X5,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3))) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1937_2) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3865,plain,
% 152.90/153.22 ( X0 = X1
% 152.90/153.22 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X2,X3),c_List_Oappend(X4,c_List_Olist_OCons(X0,c_List_Olist_ONil(X3),X3),X3)),c_List_Oappend(X5,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3))) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_840]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3866,plain,
% 152.90/153.22 ( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X1),X1),X1)),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X1),X1),X1)))
% 152.90/153.22 | hBOOL(hAPP(hAPP(X0,X3),X5))
% 152.90/153.22 | X3 = X5 ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3865]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_839,plain,
% 152.90/153.22 ( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X1),X1),X1)),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X1),X1),X1)))
% 152.90/153.22 | X2 = X4
% 152.90/153.22 | X3 = X5 ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1938_0) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3863,plain,
% 152.90/153.22 ( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X1),X1),X1)),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X1),X1),X1)))
% 152.90/153.22 | X2 = X4
% 152.90/153.22 | X3 = X5 ),
% 152.90/153.22 inference(copy,[status(esa)],[c_839]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_837,plain,
% 152.90/153.22 ( X0 = X1
% 152.90/153.22 | X2 = X3
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),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))) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1938_2) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3859,plain,
% 152.90/153.22 ( X0 = X1
% 152.90/153.22 | X2 = X3
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),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))) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_837]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3860,plain,
% 152.90/153.22 ( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Oappend(X2,c_List_Olist_OCons(X3,c_List_Olist_ONil(X1),X1),X1)),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X1),X1),X1)))
% 152.90/153.22 | X3 = X5
% 152.90/153.22 | X2 = X4 ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3859]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_835,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1941_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3855,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_835]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3856,plain,
% 152.90/153.22 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.90/153.22 | 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) ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3855]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_829,plain,
% 152.90/153.22 ( X0 = c_List_Olist_OCons(X1,X2,X3)
% 152.90/153.22 | c_List_Olist_OCons(X1,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X1,X2,X4,X0,X3),X3) = X4
% 152.90/153.22 | c_List_Oappend(X4,X0,X3) != c_List_Olist_OCons(X1,X2,X3) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1943_2) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3843,plain,
% 152.90/153.22 ( X0 = c_List_Olist_OCons(X1,X2,X3)
% 152.90/153.22 | c_List_Olist_OCons(X1,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X1,X2,X4,X0,X3),X3) = X4
% 152.90/153.22 | c_List_Oappend(X4,X0,X3) != c_List_Olist_OCons(X1,X2,X3) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_829]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3844,plain,
% 152.90/153.22 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 152.90/153.22 | c_List_Olist_OCons(X3,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X0,X1,X2),X2) = X0
% 152.90/153.22 | X1 = c_List_Olist_OCons(X3,X4,X2) ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3843]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_814,plain,
% 152.90/153.22 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.22 | c_List_Olist_OCons(X2,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X0,X4,X1),X1) = X0
% 152.90/153.22 | c_List_Oappend(X0,X4,X1) != c_List_Olist_OCons(X2,X3,X1) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1948_2) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3813,plain,
% 152.90/153.22 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.22 | c_List_Olist_OCons(X2,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X2,X3,X0,X4,X1),X1) = X0
% 152.90/153.22 | c_List_Oappend(X0,X4,X1) != c_List_Olist_OCons(X2,X3,X1) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_814]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3814,plain,
% 152.90/153.22 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 152.90/153.22 | c_List_Olist_OCons(X3,c_List_Osko__List__Xappend__eq__Cons__conv__1__1(X3,X4,X0,X1,X2),X2) = X0
% 152.90/153.22 | X0 = c_List_Olist_ONil(X2) ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3813]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_808,plain,
% 152.90/153.22 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.90/153.22 | 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
% 152.90/153.22 | hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1950_2) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3801,plain,
% 152.90/153.22 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.90/153.22 | 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
% 152.90/153.22 | hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) != c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_808]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3802,plain,
% 152.90/153.22 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.90/153.22 | 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
% 152.90/153.22 | X3 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3801]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_806,plain,
% 152.90/153.22 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 152.90/153.22 | 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) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1953_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3797,plain,
% 152.90/153.22 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 152.90/153.22 | 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) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_806]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3798,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2 ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3797]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_804,plain,
% 152.90/153.22 ( c_Lambda_OdB_OAbs(X0) = X1
% 152.90/153.22 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1955_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3793,plain,
% 152.90/153.22 ( c_Lambda_OdB_OAbs(X0) = X1
% 152.90/153.22 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_804]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3794,plain,
% 152.90/153.22 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.90/153.22 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3793]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_802,plain,
% 152.90/153.22 ( X0 = c_Lambda_OdB_OAbs(X1)
% 152.90/153.22 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1956_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3789,plain,
% 152.90/153.22 ( X0 = c_Lambda_OdB_OAbs(X1)
% 152.90/153.22 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_802]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3790,plain,
% 152.90/153.22 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 152.90/153.22 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3789]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_800,plain,
% 152.90/153.22 ( c_Lambda_OdB_OVar(X0) = X1
% 152.90/153.22 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1957_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3785,plain,
% 152.90/153.22 ( c_Lambda_OdB_OVar(X0) = X1
% 152.90/153.22 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_800]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3786,plain,
% 152.90/153.22 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.90/153.22 | c_Lambda_OdB_OVar(X0) = X1 ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3785]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_798,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | ~ 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) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1958_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3781,plain,
% 152.90/153.22 ( 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)
% 152.90/153.22 | ~ 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) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_798]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3782,plain,
% 152.90/153.22 ( ~ 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)
% 152.90/153.22 | 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) ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3781]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_796,plain,
% 152.90/153.22 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.90/153.22 | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1959_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3777,plain,
% 152.90/153.22 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.90/153.22 | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_796]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3778,plain,
% 152.90/153.22 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 152.90/153.22 | X1 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3777]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_794,plain,
% 152.90/153.22 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.90/153.22 | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1960_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3773,plain,
% 152.90/153.22 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.90/153.22 | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_794]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3774,plain,
% 152.90/153.22 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.90/153.22 | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3773]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_792,plain,
% 152.90/153.22 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.90/153.22 | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1961_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3769,plain,
% 152.90/153.22 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.90/153.22 | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_792]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3770,plain,
% 152.90/153.22 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.90/153.22 | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3769]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_790,plain,
% 152.90/153.22 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X0,X1,X1),X1),X3),X2)) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1962_1) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3765,plain,
% 152.90/153.22 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X0,X1,X1),X1),X3),X2)) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_790]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3766,plain,
% 152.90/153.22 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X0,X1,X1),X1),X2),X3))
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X3),X2)) ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3765]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_786,plain,
% 152.90/153.22 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)))
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)))
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2)) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1963_3) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3757,plain,
% 152.90/153.22 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)))
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)))
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2)) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_786]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3758,plain,
% 152.90/153.22 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2))
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)))
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)))
% 152.90/153.22 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2 ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3757]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_782,plain,
% 152.90/153.22 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 152.90/153.22 | hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)),X1) = X2
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)))
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2)) ),
% 152.90/153.22 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1964_3) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3749,plain,
% 152.90/153.22 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 152.90/153.22 | hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)),X1) = X2
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)))
% 152.90/153.22 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2)) ),
% 152.90/153.22 inference(copy,[status(esa)],[c_782]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_3750,plain,
% 152.90/153.22 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2))
% 152.90/153.22 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)))
% 152.90/153.22 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 152.90/153.22 | hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)),X1) = X2 ),
% 152.90/153.22 inference(rewriting,[status(thm)],[c_3749]) ).
% 152.90/153.22
% 152.90/153.22 cnf(c_779,plain,
% 152.90/153.22 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X3),X4),X5))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X3),c_List_Olist_OCons(X1,X4,X3)),c_List_Olist_OCons(X2,X5,X3))) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1965_2) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3743,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X3),X4),X5))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X3),c_List_Olist_OCons(X1,X4,X3)),c_List_Olist_OCons(X2,X5,X3))) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_779]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3744,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Olist_OCons(X2,X3,X1)),c_List_Olist_OCons(X4,X5,X1)))
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),X3),X5))
% 152.90/153.23 | hBOOL(hAPP(hAPP(X0,X2),X4)) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3743]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_772,plain,
% 152.90/153.23 ( X0 = X1
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X2,X3),X1),X0))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X2,X3),c_List_Olist_OCons(X4,X1,X3)),c_List_Olist_OCons(X5,X0,X3))) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1967_2) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3729,plain,
% 152.90/153.23 ( X0 = X1
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X2,X3),X1),X0))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X2,X3),c_List_Olist_OCons(X4,X1,X3)),c_List_Olist_OCons(X5,X0,X3))) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_772]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3730,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Olist_OCons(X2,X3,X1)),c_List_Olist_OCons(X4,X5,X1)))
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),X3),X5))
% 152.90/153.23 | X5 = X3 ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3729]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_768,plain,
% 152.90/153.23 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 152.90/153.23 | hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)),X1) = X2
% 152.90/153.23 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)) = X2
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1968_3) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3721,plain,
% 152.90/153.23 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 152.90/153.23 | hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)),X1) = X2
% 152.90/153.23 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)) = X2
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_768]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3722,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2))
% 152.90/153.23 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 152.90/153.23 | hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)),X1) = X2
% 152.90/153.23 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)) = X2 ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3721]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_766,plain,
% 152.90/153.23 ( 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)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X3)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1969_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3717,plain,
% 152.90/153.23 ( 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)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X3)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_766]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_764,plain,
% 152.90/153.23 ( 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)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1970_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3713,plain,
% 152.90/153.23 ( 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)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_764]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_749,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.90/153.23 | X2 = X1
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X3),c_List_Olist_OCons(X1,X4,X3)),c_List_Olist_OCons(X2,X5,X3))) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1974_2) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3683,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.90/153.23 | X2 = X1
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X3),c_List_Olist_OCons(X1,X4,X3)),c_List_Olist_OCons(X2,X5,X3))) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_749]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3684,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Olist_OCons(X2,X3,X1)),c_List_Olist_OCons(X4,X5,X1)))
% 152.90/153.23 | hBOOL(hAPP(hAPP(X0,X2),X4))
% 152.90/153.23 | X4 = X2 ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3683]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_747,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X0,X1,X1),X1),X2),X3))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X3),X2)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1975_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3679,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Predicate_Oconversep(X0,X1,X1),X1),X2),X3))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X3),X2)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_747]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_742,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Olist_OCons(X2,X3,X1)),c_List_Olist_OCons(X4,X5,X1)))
% 152.90/153.23 | X4 = X2
% 152.90/153.23 | X5 = X3 ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1979_0) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3669,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Olist_OCons(X2,X3,X1)),c_List_Olist_OCons(X4,X5,X1)))
% 152.90/153.23 | X4 = X2
% 152.90/153.23 | X5 = X3 ),
% 152.90/153.23 inference(copy,[status(esa)],[c_742]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_740,plain,
% 152.90/153.23 ( X0 = X1
% 152.90/153.23 | X2 = X3
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),c_List_Olist_OCons(X3,X1,X5)),c_List_Olist_OCons(X2,X0,X5))) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1979_2) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3665,plain,
% 152.90/153.23 ( X0 = X1
% 152.90/153.23 | X2 = X3
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X4,X5),c_List_Olist_OCons(X3,X1,X5)),c_List_Olist_OCons(X2,X0,X5))) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_740]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3666,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Olist_OCons(X2,X3,X1)),c_List_Olist_OCons(X4,X5,X1)))
% 152.90/153.23 | X5 = X3
% 152.90/153.23 | X4 = X2 ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3665]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_738,plain,
% 152.90/153.23 ( 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)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1980_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3661,plain,
% 152.90/153.23 ( 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)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_738]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_734,plain,
% 152.90/153.23 ( c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)) = X0
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)))
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1981_3) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3653,plain,
% 152.90/153.23 ( c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)) = X0
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)))
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_734]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3654,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2))
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)))
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)))
% 152.90/153.23 | c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)) = X0 ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3653]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_730,plain,
% 152.90/153.23 ( c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)) = X0
% 152.90/153.23 | hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)),X1) = X2
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1982_3) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3645,plain,
% 152.90/153.23 ( c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)) = X0
% 152.90/153.23 | hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)),X1) = X2
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_730]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3646,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),X2))
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),c_Lambda_Osko__Lambda__Xbeta__cases__3__3(X0,X1,X2)))
% 152.90/153.23 | hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_Osko__Lambda__Xbeta__cases__3__2(X0,X1,X2)),X1) = X2
% 152.90/153.23 | c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__3__1(X0,X1,X2)) = X0 ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3645]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_728,plain,
% 152.90/153.23 ( 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)
% 152.90/153.23 | ~ 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) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1986_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3641,plain,
% 152.90/153.23 ( 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)
% 152.90/153.23 | ~ 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) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_728]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3642,plain,
% 152.90/153.23 ( ~ 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)
% 152.90/153.23 | 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) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3641]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_726,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X3)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1987_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3637,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X3)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_726]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_721,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Olist_OCons(X2,X3,X1)),c_List_Olist_OCons(X2,X4,X1)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),X3),X4)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1994_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3627,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Olist_OCons(X2,X3,X1)),c_List_Olist_OCons(X2,X4,X1)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),X3),X4)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_721]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_719,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Oappend(X2,X3,X1)),c_List_Oappend(X2,X4,X1)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),X3),X4)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1995_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3623,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Oappend(X2,X3,X1)),c_List_Oappend(X2,X4,X1)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),X3),X4)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_719]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_717,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Oappend(X2,X3,X1)),c_List_Oappend(X4,X3,X1)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),X2),X4)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1996_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3619,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Oappend(X2,X3,X1)),c_List_Oappend(X4,X3,X1)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),X2),X4)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_717]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_710,plain,
% 152.90/153.23 ( 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)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1998_2) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3605,plain,
% 152.90/153.23 ( 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)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_710]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_704,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Olist_OCons(X2,X3,X1)),c_List_Olist_OCons(X4,X3,X1)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(X0,X2),X4)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2000_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3593,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Olist_OCons(X2,X3,X1)),c_List_Olist_OCons(X4,X3,X1)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(X0,X2),X4)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_704]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_702,plain,
% 152.90/153.23 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),c_Type_Otype_OFun(X2,X3))
% 152.90/153.23 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2001_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3589,plain,
% 152.90/153.23 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),c_Type_Otype_OFun(X2,X3))
% 152.90/153.23 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_702]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3590,plain,
% 152.90/153.23 ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 152.90/153.23 | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),c_Type_Otype_OFun(X1,X3)) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3589]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_695,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X0,X3,X4),X2),X1)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2009_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3575,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X0,X3,X4),X2),X1)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_695]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3576,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X0,X1,X2),X3),X4))
% 152.90/153.23 | hBOOL(hAPP(hAPP(X0,X4),X3)) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3575]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_693,plain,
% 152.90/153.23 ( 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)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2010_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3571,plain,
% 152.90/153.23 ( 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)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_693]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_691,plain,
% 152.90/153.23 ( 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)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2011_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3567,plain,
% 152.90/153.23 ( 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)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_691]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_689,plain,
% 152.90/153.23 ( 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)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2012_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3563,plain,
% 152.90/153.23 ( 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)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_689]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_688,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X2))
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2016_0) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3561,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X2))
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_688]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_687,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X2)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2016_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3559,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X2)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_687]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_686,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2016_2) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3557,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_686]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_684,plain,
% 152.90/153.23 ( hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.90/153.23 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X0)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2017_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3553,plain,
% 152.90/153.23 ( hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.90/153.23 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X0)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_684]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_682,plain,
% 152.90/153.23 ( 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))
% 152.90/153.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2018_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3549,plain,
% 152.90/153.23 ( 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))
% 152.90/153.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_682]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3550,plain,
% 152.90/153.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.90/153.23 | 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)) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3549]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_680,plain,
% 152.90/153.23 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X3),X1),X4)
% 152.90/153.23 | ~ c_Type_Otyping(X0,X3,X4) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2019_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3545,plain,
% 152.90/153.23 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X3),X1),X4)
% 152.90/153.23 | ~ c_Type_Otyping(X0,X3,X4) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_680]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_676,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X0,X1,X2),X3),X4))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(X0,X4),X3)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2022_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3537,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(X0,X1,X2),X3),X4))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(X0,X4),X3)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_676]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_674,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2023_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3533,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_674]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_672,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2024_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3529,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_672]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_670,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2025_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3525,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_670]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_667,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(X0,X4),X3)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2026_2) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3519,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(X0,X4),X3)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_667]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_665,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(X0,X4),X2)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2027_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3515,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.90/153.23 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(X0,X4),X2)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_665]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_662,plain,
% 152.90/153.23 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2028_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3509,plain,
% 152.90/153.23 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_662]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3510,plain,
% 152.90/153.23 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.23 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3509]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_647,plain,
% 152.90/153.23 ( X0 = X1
% 152.90/153.23 | 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) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2032_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3479,plain,
% 152.90/153.23 ( X0 = X1
% 152.90/153.23 | 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) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_647]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3480,plain,
% 152.90/153.23 ( 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)
% 152.90/153.23 | X1 = X4 ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3479]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_645,plain,
% 152.90/153.23 ( X0 = X1
% 152.90/153.23 | 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) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2033_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3475,plain,
% 152.90/153.23 ( X0 = X1
% 152.90/153.23 | 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) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_645]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3476,plain,
% 152.90/153.23 ( 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)
% 152.90/153.23 | X0 = X3 ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3475]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_643,plain,
% 152.90/153.23 ( 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)
% 152.90/153.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2035_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3471,plain,
% 152.90/153.23 ( 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)
% 152.90/153.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_643]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3472,plain,
% 152.90/153.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.90/153.23 | 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) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3471]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_638,plain,
% 152.90/153.23 ( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X0))
% 152.90/153.23 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2037_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3461,plain,
% 152.90/153.23 ( hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X0))
% 152.90/153.23 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_638]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3462,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.90/153.23 | hBOOL(hAPP(c_Wellfounded_Oaccp(c_Predicate_Oconversep(c_Lambda_Obeta,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB),X0)) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3461]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_634,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.90/153.23 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X3))
% 152.90/153.23 | hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X2)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2040_0) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3453,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.90/153.23 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X3))
% 152.90/153.23 | hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X2)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_634]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_632,plain,
% 152.90/153.23 ( hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X2))
% 152.90/153.23 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X3))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2040_2) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3449,plain,
% 152.90/153.23 ( hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X2))
% 152.90/153.23 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X3))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_632]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3450,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.90/153.23 | hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X2))
% 152.90/153.23 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X3)) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3449]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_629,plain,
% 152.90/153.23 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.23 | ~ 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)
% 152.90/153.23 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2043_2) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3443,plain,
% 152.90/153.23 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.23 | ~ 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)
% 152.90/153.23 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_629]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3444,plain,
% 152.90/153.23 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.90/153.23 | ~ 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)
% 152.90/153.23 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3443]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_626,plain,
% 152.90/153.23 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.23 | ~ 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)
% 152.90/153.23 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2044_2) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3437,plain,
% 152.90/153.23 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.23 | ~ 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)
% 152.90/153.23 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_626]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3438,plain,
% 152.90/153.23 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.90/153.23 | ~ 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)
% 152.90/153.23 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3437]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_624,plain,
% 152.90/153.23 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 152.90/153.23 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2046_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3433,plain,
% 152.90/153.23 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 152.90/153.23 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_624]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_616,plain,
% 152.90/153.23 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 152.90/153.23 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2048_3) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3417,plain,
% 152.90/153.23 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 152.90/153.23 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_616]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3418,plain,
% 152.90/153.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.90/153.23 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3417]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_614,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X0)),c_Lambda_OdB_OAbs(X1)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X1)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2049_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3413,plain,
% 152.90/153.23 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X0)),c_Lambda_OdB_OAbs(X1)))
% 152.90/153.23 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X1)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_614]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_610,plain,
% 152.90/153.23 ( 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)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.90/153.23 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2051_3) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3405,plain,
% 152.90/153.23 ( 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)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.90/153.23 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_610]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3406,plain,
% 152.90/153.23 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.90/153.23 | 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)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3405]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_608,plain,
% 152.90/153.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.23 | ~ 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) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2054_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3401,plain,
% 152.90/153.23 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.23 | ~ 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) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_608]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3402,plain,
% 152.90/153.23 ( ~ 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)
% 152.90/153.23 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3401]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_604,plain,
% 152.90/153.23 ( 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))
% 152.90/153.23 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2056_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3393,plain,
% 152.90/153.23 ( 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))
% 152.90/153.23 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_604]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3394,plain,
% 152.90/153.23 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.90/153.23 | 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)) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3393]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_602,plain,
% 152.90/153.23 ( 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))
% 152.90/153.23 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2057_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3389,plain,
% 152.90/153.23 ( 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))
% 152.90/153.23 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_602]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3390,plain,
% 152.90/153.23 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 152.90/153.23 | 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)) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3389]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_598,plain,
% 152.90/153.23 ( 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))
% 152.90/153.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2059_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3381,plain,
% 152.90/153.23 ( 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))
% 152.90/153.23 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_598]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3382,plain,
% 152.90/153.23 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.90/153.23 | 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)) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3381]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_596,plain,
% 152.90/153.23 ( c_List_Olistsp(c_Wellfounded_Oaccp(X0,X1),X2,X1)
% 152.90/153.23 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X0,X1),tc_List_Olist(X1)),X2)) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2061_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3377,plain,
% 152.90/153.23 ( c_List_Olistsp(c_Wellfounded_Oaccp(X0,X1),X2,X1)
% 152.90/153.23 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X0,X1),tc_List_Olist(X1)),X2)) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_596]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3378,plain,
% 152.90/153.23 ( ~ hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X0,X1),tc_List_Olist(X1)),X2))
% 152.90/153.23 | c_List_Olistsp(c_Wellfounded_Oaccp(X0,X1),X2,X1) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3377]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_593,plain,
% 152.90/153.23 ( 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)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2062_2) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3371,plain,
% 152.90/153.23 ( 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)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_593]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_589,plain,
% 152.90/153.23 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.23 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2064_1) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3363,plain,
% 152.90/153.23 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.23 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_589]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3364,plain,
% 152.90/153.23 ( c_List_Omap(X0,X1,X2,X3) != c_List_Olist_ONil(X3)
% 152.90/153.23 | X1 = c_List_Olist_ONil(X2) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3363]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_583,plain,
% 152.90/153.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 152.90/153.23 | 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)
% 152.90/153.23 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2066_2) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3351,plain,
% 152.90/153.23 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 152.90/153.23 | 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)
% 152.90/153.23 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_583]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3352,plain,
% 152.90/153.23 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.90/153.23 | 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)
% 152.90/153.23 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3351]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_579,plain,
% 152.90/153.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.90/153.23 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2072_3) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3343,plain,
% 152.90/153.23 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.90/153.23 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_579]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3344,plain,
% 152.90/153.23 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.90/153.23 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3343]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_575,plain,
% 152.90/153.23 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.90/153.23 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2073_3) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3335,plain,
% 152.90/153.23 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.90/153.23 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_575]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3336,plain,
% 152.90/153.23 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.90/153.23 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3335]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_571,plain,
% 152.90/153.23 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 152.90/153.23 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2076_3) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3327,plain,
% 152.90/153.23 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 152.90/153.23 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_571]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3328,plain,
% 152.90/153.23 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.90/153.23 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3327]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_568,plain,
% 152.90/153.23 ( 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)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.90/153.23 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2077_2) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3321,plain,
% 152.90/153.23 ( 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)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.90/153.23 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_568]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3322,plain,
% 152.90/153.23 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.90/153.23 | 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)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3321]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_565,plain,
% 152.90/153.23 ( 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)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.90/153.23 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2078_2) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3315,plain,
% 152.90/153.23 ( 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)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.90/153.23 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_565]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3316,plain,
% 152.90/153.23 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.90/153.23 | 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)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3315]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_562,plain,
% 152.90/153.23 ( 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)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.90/153.23 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2079_2) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3309,plain,
% 152.90/153.23 ( 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)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.90/153.23 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_562]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3310,plain,
% 152.90/153.23 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.90/153.23 | 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)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3309]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_559,plain,
% 152.90/153.23 ( 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)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.90/153.23 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2080_2) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3303,plain,
% 152.90/153.23 ( 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)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.90/153.23 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.90/153.23 inference(copy,[status(esa)],[c_559]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3304,plain,
% 152.90/153.23 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.90/153.23 | 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)
% 152.90/153.23 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.90/153.23 inference(rewriting,[status(thm)],[c_3303]) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_554,plain,
% 152.90/153.23 ( ~ 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)
% 152.90/153.23 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.90/153.23 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.90/153.23 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2082_0) ).
% 152.90/153.23
% 152.90/153.23 cnf(c_3293,plain,
% 152.90/153.24 ( ~ 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)
% 152.90/153.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.90/153.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_554]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_552,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.90/153.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.90/153.24 | ~ 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) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2082_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3289,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.90/153.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.90/153.24 | ~ 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) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_552]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3290,plain,
% 152.90/153.24 ( ~ 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)
% 152.90/153.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.90/153.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3289]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_548,plain,
% 152.90/153.24 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.90/153.24 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X3),X2))
% 152.90/153.24 | hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X3),X1)) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2084_0) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3281,plain,
% 152.90/153.24 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.90/153.24 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X3),X2))
% 152.90/153.24 | hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X3),X1)) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_548]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_546,plain,
% 152.90/153.24 ( hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X2))
% 152.90/153.24 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X3))
% 152.90/153.24 | ~ hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2084_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3277,plain,
% 152.90/153.24 ( hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X2))
% 152.90/153.24 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X1),X3))
% 152.90/153.24 | ~ hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_546]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3278,plain,
% 152.90/153.24 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.90/153.24 | hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X3),X1))
% 152.90/153.24 | ~ hBOOL(hAPP(c_Wellfounded_Oaccp(X0,X3),X2)) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3277]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_543,plain,
% 152.90/153.24 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 152.90/153.24 | ~ c_Type_Otyping(X0,X1,c_Type_Otype_OFun(X4,X3))
% 152.90/153.24 | ~ c_Type_Otyping(X0,X2,X4) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2085_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3271,plain,
% 152.90/153.24 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 152.90/153.24 | ~ c_Type_Otyping(X0,X1,c_Type_Otype_OFun(X4,X3))
% 152.90/153.24 | ~ c_Type_Otyping(X0,X2,X4) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_543]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_541,plain,
% 152.90/153.24 ( hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X0,X1),tc_List_Olist(X1)),X2))
% 152.90/153.24 | ~ c_List_Olistsp(c_Wellfounded_Oaccp(X0,X1),X2,X1) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2086_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3267,plain,
% 152.90/153.24 ( hBOOL(hAPP(c_Wellfounded_Oaccp(c_ListOrder_Ostep1(X0,X1),tc_List_Olist(X1)),X2))
% 152.90/153.24 | ~ c_List_Olistsp(c_Wellfounded_Oaccp(X0,X1),X2,X1) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_541]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_539,plain,
% 152.90/153.24 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 152.90/153.24 | ~ c_OrderedGroup_Osemigroup__add(X0,X4) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2087_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3263,plain,
% 152.90/153.24 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 152.90/153.24 | ~ c_OrderedGroup_Osemigroup__add(X0,X4) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_539]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3264,plain,
% 152.90/153.24 ( ~ c_OrderedGroup_Osemigroup__add(X0,X1)
% 152.90/153.24 | hAPP(hAPP(X0,hAPP(hAPP(X0,X2),X3)),X4) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X3),X4)) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3263]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_536,plain,
% 152.90/153.24 ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 152.90/153.24 | ~ c_List_Olistsp(X0,X1,X3)
% 152.90/153.24 | ~ c_List_Olistsp(X0,X2,X3) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2088_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3257,plain,
% 152.90/153.24 ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 152.90/153.24 | ~ c_List_Olistsp(X0,X1,X3)
% 152.90/153.24 | ~ c_List_Olistsp(X0,X2,X3) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_536]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_525,plain,
% 152.90/153.24 ( 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)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2103_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3235,plain,
% 152.90/153.24 ( 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)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_525]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_523,plain,
% 152.90/153.24 ( 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)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2104_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3231,plain,
% 152.90/153.24 ( 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)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_523]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_521,plain,
% 152.90/153.24 ( 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))
% 152.90/153.24 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2105_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3227,plain,
% 152.90/153.24 ( 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))
% 152.90/153.24 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_521]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3228,plain,
% 152.90/153.24 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.90/153.24 | 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)) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3227]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_519,plain,
% 152.90/153.24 ( 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))
% 152.90/153.24 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2106_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3223,plain,
% 152.90/153.24 ( 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))
% 152.90/153.24 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_519]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3224,plain,
% 152.90/153.24 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.90/153.24 | 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)) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3223]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_517,plain,
% 152.90/153.24 ( 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))
% 152.90/153.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2107_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3219,plain,
% 152.90/153.24 ( 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))
% 152.90/153.24 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_517]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3220,plain,
% 152.90/153.24 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.90/153.24 | 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)) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3219]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_515,plain,
% 152.90/153.24 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.90/153.24 | ~ hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2108_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3215,plain,
% 152.90/153.24 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.90/153.24 | ~ hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_515]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_513,plain,
% 152.90/153.24 ( c_List_Olistsp(X0,X1,X2)
% 152.90/153.24 | ~ c_List_Olistsp(X0,c_List_Oappend(X1,X3,X2),X2) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2110_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3211,plain,
% 152.90/153.24 ( c_List_Olistsp(X0,X1,X2)
% 152.90/153.24 | ~ c_List_Olistsp(X0,c_List_Oappend(X1,X3,X2),X2) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_513]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3212,plain,
% 152.90/153.24 ( ~ c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 152.90/153.24 | c_List_Olistsp(X0,X1,X3) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3211]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_511,plain,
% 152.90/153.24 ( c_List_Olistsp(X0,X1,X2)
% 152.90/153.24 | ~ c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2111_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3207,plain,
% 152.90/153.24 ( c_List_Olistsp(X0,X1,X2)
% 152.90/153.24 | ~ c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_511]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3208,plain,
% 152.90/153.24 ( ~ c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 152.90/153.24 | c_List_Olistsp(X0,X2,X3) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3207]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_509,plain,
% 152.90/153.24 ( X0 = c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)
% 152.90/153.24 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2112_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3203,plain,
% 152.90/153.24 ( X0 = c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)
% 152.90/153.24 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_509]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3204,plain,
% 152.90/153.24 ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,X3,X1)
% 152.90/153.24 | X0 = c_List_Oappend(c_List_Orev(X3,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1),X1) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3203]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_507,plain,
% 152.90/153.24 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)))
% 152.90/153.24 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X0)),X1)) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2114_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3199,plain,
% 152.90/153.24 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)))
% 152.90/153.24 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X0)),X1)) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_507]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3200,plain,
% 152.90/153.24 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X0)),X1))
% 152.90/153.24 | hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1))) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3199]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_504,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 152.90/153.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2115_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3193,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 152.90/153.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_504]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_502,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2116_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3189,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_502]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3190,plain,
% 152.90/153.24 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3189]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_495,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.90/153.24 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2119_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3175,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.90/153.24 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_495]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3176,plain,
% 152.90/153.24 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3175]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_492,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.90/153.24 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2120_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3169,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.90/153.24 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_492]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_489,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.90/153.24 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2121_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3163,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.90/153.24 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_489]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_486,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.90/153.24 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2122_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3157,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.90/153.24 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_486]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_485,plain,
% 152.90/153.24 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1))
% 152.90/153.24 | ~ c_Type_Otyping(X2,X0,X3)
% 152.90/153.24 | c_Type_Otyping(X2,X1,X3) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2123_0) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3155,plain,
% 152.90/153.24 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1))
% 152.90/153.24 | ~ c_Type_Otyping(X2,X0,X3)
% 152.90/153.24 | c_Type_Otyping(X2,X1,X3) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_485]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_483,plain,
% 152.90/153.24 ( c_Type_Otyping(X0,X1,X2)
% 152.90/153.24 | ~ c_Type_Otyping(X0,X3,X2)
% 152.90/153.24 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X3),X1)) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2123_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3151,plain,
% 152.90/153.24 ( c_Type_Otyping(X0,X1,X2)
% 152.90/153.24 | ~ c_Type_Otyping(X0,X3,X2)
% 152.90/153.24 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X3),X1)) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_483]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3152,plain,
% 152.90/153.24 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1))
% 152.90/153.24 | c_Type_Otyping(X2,X1,X3)
% 152.90/153.24 | ~ c_Type_Otyping(X2,X0,X3) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3151]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_481,plain,
% 152.90/153.24 ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = X1
% 152.90/153.24 | ~ class_Ring__and__Field_Osemiring__1(X2) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2124_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3147,plain,
% 152.90/153.24 ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = X1
% 152.90/153.24 | ~ class_Ring__and__Field_Osemiring__1(X2) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_481]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3148,plain,
% 152.90/153.24 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.90/153.24 | c_Nat_Osemiring__1__class_Oof__nat__aux(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2,X0) = X2 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3147]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_479,plain,
% 152.90/153.24 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.24 | c_List_Oappend(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil(X1),X1),X1) = X0 ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2127_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3143,plain,
% 152.90/153.24 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.24 | c_List_Oappend(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil(X1),X1),X1) = X0 ),
% 152.90/153.24 inference(copy,[status(esa)],[c_479]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3144,plain,
% 152.90/153.24 ( c_List_Oappend(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil(X1),X1),X1) = X0
% 152.90/153.24 | X0 = c_List_Olist_ONil(X1) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3143]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_477,plain,
% 152.90/153.24 ( 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)
% 152.90/153.24 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2128_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3139,plain,
% 152.90/153.24 ( 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)
% 152.90/153.24 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_477]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3140,plain,
% 152.90/153.24 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.90/153.24 | 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) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3139]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_475,plain,
% 152.90/153.24 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 152.90/153.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2129_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3135,plain,
% 152.90/153.24 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 152.90/153.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_475]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_473,plain,
% 152.90/153.24 ( 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)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2130_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3131,plain,
% 152.90/153.24 ( 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)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_473]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_471,plain,
% 152.90/153.24 ( 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)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2131_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3127,plain,
% 152.90/153.24 ( 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)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_471]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_470,plain,
% 152.90/153.24 ( ~ class_Orderings_Oorder(X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2132_0) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3125,plain,
% 152.90/153.24 ( ~ class_Orderings_Oorder(X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_470]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_469,plain,
% 152.90/153.24 ( ~ class_Orderings_Oorder(X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2132_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3123,plain,
% 152.90/153.24 ( ~ class_Orderings_Oorder(X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_469]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_467,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.90/153.24 | ~ class_Orderings_Oorder(X2) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2132_3) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3119,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.90/153.24 | ~ class_Orderings_Oorder(X2) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_467]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3120,plain,
% 152.90/153.24 ( ~ class_Orderings_Oorder(X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3119]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_466,plain,
% 152.90/153.24 ( ~ class_Orderings_Opreorder(X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2133_0) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3117,plain,
% 152.90/153.24 ( ~ class_Orderings_Opreorder(X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_466]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_465,plain,
% 152.90/153.24 ( ~ class_Orderings_Opreorder(X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2133_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3115,plain,
% 152.90/153.24 ( ~ class_Orderings_Opreorder(X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_465]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_463,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.90/153.24 | ~ class_Orderings_Opreorder(X2) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2133_3) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3111,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.90/153.24 | ~ class_Orderings_Opreorder(X2) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_463]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3112,plain,
% 152.90/153.24 ( ~ class_Orderings_Opreorder(X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3111]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_461,plain,
% 152.90/153.24 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X0)),c_Lambda_OdB_OAbs(X1)))
% 152.90/153.24 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1)) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2134_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3107,plain,
% 152.90/153.24 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X0)),c_Lambda_OdB_OAbs(X1)))
% 152.90/153.24 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1)) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_461]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_458,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 152.90/153.24 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2135_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3101,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 152.90/153.24 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_458]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3102,plain,
% 152.90/153.24 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3101]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_452,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2139_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3089,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_452]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_450,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2140_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3085,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_450]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_448,plain,
% 152.90/153.24 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 152.90/153.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2146_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3081,plain,
% 152.90/153.24 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 152.90/153.24 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_448]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_446,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.24 | 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)) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2147_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3077,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.24 | 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)) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_446]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_444,plain,
% 152.90/153.24 ( 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)
% 152.90/153.24 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2148_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3073,plain,
% 152.90/153.24 ( 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)
% 152.90/153.24 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_444]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3074,plain,
% 152.90/153.24 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.90/153.24 | 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) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3073]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_442,plain,
% 152.90/153.24 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.24 | c_List_Oappend(X2,c_List_Obutlast(X0,X1),X1) = c_List_Obutlast(c_List_Oappend(X2,X0,X1),X1) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2149_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3069,plain,
% 152.90/153.24 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.24 | c_List_Oappend(X2,c_List_Obutlast(X0,X1),X1) = c_List_Obutlast(c_List_Oappend(X2,X0,X1),X1) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_442]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3070,plain,
% 152.90/153.24 ( c_List_Oappend(X0,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Oappend(X0,X1,X2),X2)
% 152.90/153.24 | X1 = c_List_Olist_ONil(X2) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3069]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_440,plain,
% 152.90/153.24 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.24 | c_List_Olist_OCons(X2,c_List_Obutlast(X0,X1),X1) = c_List_Obutlast(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2150_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3065,plain,
% 152.90/153.24 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.24 | c_List_Olist_OCons(X2,c_List_Obutlast(X0,X1),X1) = c_List_Obutlast(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_440]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3066,plain,
% 152.90/153.24 ( c_List_Olist_OCons(X0,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X0,X1,X2),X2)
% 152.90/153.24 | X1 = c_List_Olist_ONil(X2) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3065]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_438,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.24 | 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))) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2151_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3061,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.24 | 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))) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_438]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_435,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 152.90/153.24 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2152_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3055,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 152.90/153.24 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_435]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3056,plain,
% 152.90/153.24 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3055]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_433,plain,
% 152.90/153.24 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2153_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3051,plain,
% 152.90/153.24 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_433]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3052,plain,
% 152.90/153.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.24 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X2),X1) = c_Lambda_OdB_OVar(X0) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3051]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_430,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.90/153.24 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2154_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3045,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.90/153.24 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_430]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3046,plain,
% 152.90/153.24 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3045]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_428,plain,
% 152.90/153.24 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.90/153.24 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.90/153.24 | X2 = X1 ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2157_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3041,plain,
% 152.90/153.24 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.90/153.24 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.90/153.24 | X2 = X1 ),
% 152.90/153.24 inference(copy,[status(esa)],[c_428]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_424,plain,
% 152.90/153.24 ( c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) = X1
% 152.90/153.24 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X0)),X1)) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2158_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3033,plain,
% 152.90/153.24 ( c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) = X1
% 152.90/153.24 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X0)),X1)) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_424]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3034,plain,
% 152.90/153.24 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X0)),X1))
% 152.90/153.24 | c_Lambda_OdB_OAbs(c_Lambda_Osko__Lambda__Xbeta__cases__2__1(X0,X1)) = X1 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3033]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_421,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.90/153.24 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2161_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3027,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.90/153.24 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_421]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3028,plain,
% 152.90/153.24 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.90/153.24 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3027]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_417,plain,
% 152.90/153.24 ( X0 = X1
% 152.90/153.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 152.90/153.24 | ~ class_Int_Onumber__ring(X2)
% 152.90/153.24 | ~ class_Ring__and__Field_Oidom(X2) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2162_3) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3019,plain,
% 152.90/153.24 ( X0 = X1
% 152.90/153.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 152.90/153.24 | ~ class_Int_Onumber__ring(X2)
% 152.90/153.24 | ~ class_Ring__and__Field_Oidom(X2) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_417]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3020,plain,
% 152.90/153.24 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.90/153.24 | ~ class_Int_Onumber__ring(X0)
% 152.90/153.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 152.90/153.24 | X2 = X3 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3019]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_411,plain,
% 152.90/153.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.90/153.24 | ~ class_Orderings_Opreorder(X2) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2164_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3007,plain,
% 152.90/153.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.90/153.24 | ~ class_Orderings_Opreorder(X2) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_411]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3008,plain,
% 152.90/153.24 ( ~ class_Orderings_Opreorder(X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3007]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_408,plain,
% 152.90/153.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.90/153.24 | ~ class_Orderings_Olinorder(X2) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2165_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3001,plain,
% 152.90/153.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.90/153.24 | ~ class_Orderings_Olinorder(X2) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_408]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_3002,plain,
% 152.90/153.24 ( ~ class_Orderings_Olinorder(X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_3001]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_405,plain,
% 152.90/153.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.90/153.24 | ~ class_Orderings_Oorder(X2) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2166_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2995,plain,
% 152.90/153.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.90/153.24 | ~ class_Orderings_Oorder(X2) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_405]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2996,plain,
% 152.90/153.24 ( ~ class_Orderings_Oorder(X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2995]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_403,plain,
% 152.90/153.24 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 152.90/153.24 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2167_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2991,plain,
% 152.90/153.24 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 152.90/153.24 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_403]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2992,plain,
% 152.90/153.24 ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1)
% 152.90/153.24 | X0 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2991]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_401,plain,
% 152.90/153.24 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 152.90/153.24 | c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) != c_List_Orev(X0,X2) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2168_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2987,plain,
% 152.90/153.24 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 152.90/153.24 | c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) != c_List_Orev(X0,X2) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_401]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2988,plain,
% 152.90/153.24 ( c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1) != c_List_Orev(X2,X1)
% 152.90/153.24 | X2 = c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2987]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_398,plain,
% 152.90/153.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.24 | X1 = X2
% 152.90/153.24 | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2169_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2981,plain,
% 152.90/153.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.24 | X1 = X2
% 152.90/153.24 | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_398]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2982,plain,
% 152.90/153.24 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 152.90/153.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.24 | X1 = X4 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2981]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_396,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 152.90/153.24 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2170_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2977,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 152.90/153.24 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_396]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2978,plain,
% 152.90/153.24 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X0) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2977]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_394,plain,
% 152.90/153.24 ( X0 = X1
% 152.90/153.24 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2172_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2973,plain,
% 152.90/153.24 ( X0 = X1
% 152.90/153.24 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_394]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2974,plain,
% 152.90/153.24 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 152.90/153.24 | X1 = X4 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2973]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_392,plain,
% 152.90/153.24 ( X0 = X1
% 152.90/153.24 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2173_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2969,plain,
% 152.90/153.24 ( X0 = X1
% 152.90/153.24 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_392]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2970,plain,
% 152.90/153.24 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 152.90/153.24 | X0 = X3 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2969]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_390,plain,
% 152.90/153.24 ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2174_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2965,plain,
% 152.90/153.24 ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_390]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2966,plain,
% 152.90/153.24 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X0,X3,X2) | X1 = X3 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2965]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_388,plain,
% 152.90/153.24 ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2175_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2961,plain,
% 152.90/153.24 ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_388]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2962,plain,
% 152.90/153.24 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X3,X1,X2) | X0 = X3 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2961]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_385,plain,
% 152.90/153.24 ( X0 = X1
% 152.90/153.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 152.90/153.24 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2176_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2955,plain,
% 152.90/153.24 ( X0 = X1
% 152.90/153.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 152.90/153.24 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_385]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2956,plain,
% 152.90/153.24 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 152.90/153.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 152.90/153.24 | X1 = X3 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2955]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_382,plain,
% 152.90/153.24 ( X0 = X1
% 152.90/153.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 152.90/153.24 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2177_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2949,plain,
% 152.90/153.24 ( X0 = X1
% 152.90/153.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 152.90/153.24 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_382]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2950,plain,
% 152.90/153.24 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 152.90/153.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 152.90/153.24 | X2 = X3 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2949]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_379,plain,
% 152.90/153.24 ( X0 = X1
% 152.90/153.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 152.90/153.24 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2178_2) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2943,plain,
% 152.90/153.24 ( X0 = X1
% 152.90/153.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 152.90/153.24 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_379]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2944,plain,
% 152.90/153.24 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 152.90/153.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 152.90/153.24 | X2 = X3 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2943]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_377,plain,
% 152.90/153.24 ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2179_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2939,plain,
% 152.90/153.24 ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_377]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2940,plain,
% 152.90/153.24 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2) | X0 = X3 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2939]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_375,plain,
% 152.90/153.24 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 152.90/153.24 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2180_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2935,plain,
% 152.90/153.24 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 152.90/153.24 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_375]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2936,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 152.90/153.24 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2935]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_373,plain,
% 152.90/153.24 ( X0 = X1 | ~ hBOOL(hAPP(hAPP(c_fequal(X2),X0),X1)) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2181_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2931,plain,
% 152.90/153.24 ( X0 = X1 | ~ hBOOL(hAPP(hAPP(c_fequal(X2),X0),X1)) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_373]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2932,plain,
% 152.90/153.24 ( ~ hBOOL(hAPP(hAPP(c_fequal(X0),X1),X2)) | X1 = X2 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2931]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_368,plain,
% 152.90/153.24 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 152.90/153.24 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2184_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2921,plain,
% 152.90/153.24 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 152.90/153.24 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_368]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2922,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 152.90/153.24 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2921]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_363,plain,
% 152.90/153.24 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2188_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2911,plain,
% 152.90/153.24 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_363]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2912,plain,
% 152.90/153.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.24 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2911]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_359,plain,
% 152.90/153.24 ( X0 = X1
% 152.90/153.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2190_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2903,plain,
% 152.90/153.24 ( X0 = X1
% 152.90/153.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_359]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2904,plain,
% 152.90/153.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 152.90/153.24 | X0 = X2 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2903]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_357,plain,
% 152.90/153.24 ( X0 = X1
% 152.90/153.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2191_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2899,plain,
% 152.90/153.24 ( X0 = X1
% 152.90/153.24 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_357]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2900,plain,
% 152.90/153.24 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 152.90/153.24 | X1 = X2 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2899]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_355,plain,
% 152.90/153.24 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.90/153.24 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2195_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2895,plain,
% 152.90/153.24 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.90/153.24 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_355]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2896,plain,
% 152.90/153.24 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2895]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_353,plain,
% 152.90/153.24 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.24 | c_List_Olast(c_List_Oappend(X2,X0,X1),X1) = c_List_Olast(X0,X1) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2196_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2891,plain,
% 152.90/153.24 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.24 | c_List_Olast(c_List_Oappend(X2,X0,X1),X1) = c_List_Olast(X0,X1) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_353]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2892,plain,
% 152.90/153.24 ( c_List_Olast(c_List_Oappend(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 152.90/153.24 | X1 = c_List_Olist_ONil(X2) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2891]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_351,plain,
% 152.90/153.24 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.24 | c_List_Olast(c_List_Olist_OCons(X2,X0,X1),X1) = c_List_Olast(X0,X1) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2197_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2887,plain,
% 152.90/153.24 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.24 | c_List_Olast(c_List_Olist_OCons(X2,X0,X1),X1) = c_List_Olast(X0,X1) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_351]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2888,plain,
% 152.90/153.24 ( c_List_Olast(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 152.90/153.24 | X1 = c_List_Olist_ONil(X2) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2887]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_349,plain,
% 152.90/153.24 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2198_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2883,plain,
% 152.90/153.24 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 152.90/153.24 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_349]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2884,plain,
% 152.90/153.24 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.24 | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2883]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_347,plain,
% 152.90/153.24 ( hAPP(hAPP(X0,X1),X2) = X2 | ~ c_OrderedGroup_Omonoid__add(X1,X0,X3) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2201_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2879,plain,
% 152.90/153.24 ( hAPP(hAPP(X0,X1),X2) = X2 | ~ c_OrderedGroup_Omonoid__add(X1,X0,X3) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_347]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2880,plain,
% 152.90/153.24 ( ~ c_OrderedGroup_Omonoid__add(X0,X1,X2) | hAPP(hAPP(X1,X0),X3) = X3 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2879]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_345,plain,
% 152.90/153.24 ( hAPP(hAPP(X0,X1),X2) = X1 | ~ c_OrderedGroup_Omonoid__add(X2,X0,X3) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2202_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2875,plain,
% 152.90/153.24 ( hAPP(hAPP(X0,X1),X2) = X1 | ~ c_OrderedGroup_Omonoid__add(X2,X0,X3) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_345]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2876,plain,
% 152.90/153.24 ( ~ c_OrderedGroup_Omonoid__add(X0,X1,X2) | hAPP(hAPP(X1,X3),X0) = X3 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2875]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_332,plain,
% 152.90/153.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.24 | c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2205_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2849,plain,
% 152.90/153.24 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.24 | c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 ),
% 152.90/153.24 inference(copy,[status(esa)],[c_332]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2850,plain,
% 152.90/153.24 ( c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1
% 152.90/153.24 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2849]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_316,plain,
% 152.90/153.24 ( ~ class_Orderings_Olinorder(X0)
% 152.90/153.24 | X1 = X2
% 152.90/153.24 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2210_0) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2817,plain,
% 152.90/153.24 ( ~ class_Orderings_Olinorder(X0)
% 152.90/153.24 | X1 = X2
% 152.90/153.24 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_316]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2818,plain,
% 152.90/153.24 ( ~ class_Orderings_Olinorder(X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.90/153.24 | X2 = X1 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2817]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_313,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.90/153.24 | X0 = X1
% 152.90/153.24 | ~ class_Orderings_Olinorder(X2) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2210_3) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2811,plain,
% 152.90/153.24 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.90/153.24 | X0 = X1
% 152.90/153.24 | ~ class_Orderings_Olinorder(X2) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_313]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2812,plain,
% 152.90/153.24 ( ~ class_Orderings_Olinorder(X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.90/153.24 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.90/153.24 | X1 = X2 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2811]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_307,plain,
% 152.90/153.24 ( X0 = X1
% 152.90/153.24 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2212_1) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2799,plain,
% 152.90/153.24 ( X0 = X1
% 152.90/153.24 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 152.90/153.24 inference(copy,[status(esa)],[c_307]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_2800,plain,
% 152.90/153.24 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 152.90/153.24 | X1 = X3 ),
% 152.90/153.24 inference(rewriting,[status(thm)],[c_2799]) ).
% 152.90/153.24
% 152.90/153.24 cnf(c_305,plain,
% 152.90/153.24 ( X0 = X1
% 152.90/153.24 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 152.90/153.24 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2213_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2795,plain,
% 152.90/153.25 ( X0 = X1
% 152.90/153.25 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_305]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2796,plain,
% 152.90/153.25 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 152.90/153.25 | X0 = X2 ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2795]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_303,plain,
% 152.90/153.25 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.90/153.25 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2215_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2791,plain,
% 152.90/153.25 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.90/153.25 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_303]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2792,plain,
% 152.90/153.25 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.90/153.25 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2791]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_299,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 152.90/153.25 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2217_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2783,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 152.90/153.25 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_299]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2784,plain,
% 152.90/153.25 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2783]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_297,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 152.90/153.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2218_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2779,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 152.90/153.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_297]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2780,plain,
% 152.90/153.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2779]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_295,plain,
% 152.90/153.25 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2220_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2775,plain,
% 152.90/153.25 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_295]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2776,plain,
% 152.90/153.25 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2775]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_290,plain,
% 152.90/153.25 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.25 | X1 = X0
% 152.90/153.25 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2222_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2765,plain,
% 152.90/153.25 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.25 | X1 = X0
% 152.90/153.25 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_290]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2766,plain,
% 152.90/153.25 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.90/153.25 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.90/153.25 | X1 = X0 ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2765]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_286,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.90/153.25 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.90/153.25 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2224_2) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2757,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.90/153.25 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.90/153.25 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_286]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2758,plain,
% 152.90/153.25 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 152.90/153.25 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.90/153.25 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2757]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_282,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 152.90/153.25 | ~ class_Int_Onumber__ring(X1)
% 152.90/153.25 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2225_3) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2749,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 152.90/153.25 | ~ class_Int_Onumber__ring(X1)
% 152.90/153.25 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_282]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2750,plain,
% 152.90/153.25 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.90/153.25 | ~ class_Int_Onumber__ring(X0)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 152.90/153.25 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2749]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_279,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.25 | X1 = c_List_Olist_ONil(X2)
% 152.90/153.25 | c_List_Otake(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2226_2) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2743,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.25 | X1 = c_List_Olist_ONil(X2)
% 152.90/153.25 | c_List_Otake(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_279]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2744,plain,
% 152.90/153.25 ( c_List_Otake(X0,X1,X2) != c_List_Olist_ONil(X2)
% 152.90/153.25 | X1 = c_List_Olist_ONil(X2)
% 152.90/153.25 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2743]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_276,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 152.90/153.25 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2227_2) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2737,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 152.90/153.25 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_276]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2738,plain,
% 152.90/153.25 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 152.90/153.25 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2737]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_270,plain,
% 152.90/153.25 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.25 | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2230_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2725,plain,
% 152.90/153.25 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.25 | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_270]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2726,plain,
% 152.90/153.25 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 152.90/153.25 | X1 = c_List_Olist_ONil(X2) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2725]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_268,plain,
% 152.90/153.25 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.25 | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2231_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2721,plain,
% 152.90/153.25 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.25 | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_268]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2722,plain,
% 152.90/153.25 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 152.90/153.25 | X0 = c_List_Olist_ONil(X2) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2721]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_258,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.25 | c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2234_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2701,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.25 | c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_258]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2702,plain,
% 152.90/153.25 ( c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2)
% 152.90/153.25 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2701]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_256,plain,
% 152.90/153.25 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2235_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2697,plain,
% 152.90/153.25 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_256]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2698,plain,
% 152.90/153.25 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2697]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_254,plain,
% 152.90/153.25 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2236_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2693,plain,
% 152.90/153.25 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_254]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2694,plain,
% 152.90/153.25 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2693]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_252,plain,
% 152.90/153.25 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2237_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2689,plain,
% 152.90/153.25 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_252]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2690,plain,
% 152.90/153.25 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2689]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_248,plain,
% 152.90/153.25 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2240_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2681,plain,
% 152.90/153.25 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 152.90/153.25 inference(copy,[status(esa)],[c_248]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2682,plain,
% 152.90/153.25 ( c_List_Oappend(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil(X2) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2681]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_244,plain,
% 152.90/153.25 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2242_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2673,plain,
% 152.90/153.25 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 152.90/153.25 inference(copy,[status(esa)],[c_244]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2674,plain,
% 152.90/153.25 ( c_List_Oappend(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil(X2) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2673]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_240,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.25 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.90/153.25 | ~ class_Power_Opower(X1)
% 152.90/153.25 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2254_3) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2665,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.25 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.90/153.25 | ~ class_Power_Opower(X1)
% 152.90/153.25 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_240]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2666,plain,
% 152.90/153.25 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 152.90/153.25 | ~ class_Power_Opower(X0)
% 152.90/153.25 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.90/153.25 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2665]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_238,plain,
% 152.90/153.25 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 152.90/153.25 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2255_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2661,plain,
% 152.90/153.25 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 152.90/153.25 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_238]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_235,plain,
% 152.90/153.25 ( 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)
% 152.90/153.25 | ~ class_Power_Opower(X0)
% 152.90/153.25 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2256_2) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2655,plain,
% 152.90/153.25 ( 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)
% 152.90/153.25 | ~ class_Power_Opower(X0)
% 152.90/153.25 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_235]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2656,plain,
% 152.90/153.25 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 152.90/153.25 | ~ class_Power_Opower(X0)
% 152.90/153.25 | 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) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2655]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_233,plain,
% 152.90/153.25 ( 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)
% 152.90/153.25 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2257_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2651,plain,
% 152.90/153.25 ( 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)
% 152.90/153.25 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_233]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2652,plain,
% 152.90/153.25 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 152.90/153.25 | 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) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2651]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_231,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2258_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2647,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_231]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2648,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.25 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2647]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_229,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2259_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2643,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_229]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2644,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.25 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2643]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_225,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2261_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2635,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 152.90/153.25 inference(copy,[status(esa)],[c_225]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2636,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 152.90/153.25 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2635]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_223,plain,
% 152.90/153.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 152.90/153.25 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2262_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2631,plain,
% 152.90/153.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 152.90/153.25 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_223]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2632,plain,
% 152.90/153.25 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.90/153.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2631]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_220,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.90/153.25 | ~ class_Int_Onumber__ring(X0)
% 152.90/153.25 | ~ class_Ring__and__Field_Oidom(X0) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2263_2) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2625,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.90/153.25 | ~ class_Int_Onumber__ring(X0)
% 152.90/153.25 | ~ class_Ring__and__Field_Oidom(X0) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_220]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2626,plain,
% 152.90/153.25 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.90/153.25 | ~ class_Int_Onumber__ring(X0)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2625]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_216,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 152.90/153.25 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2265_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2617,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 152.90/153.25 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_216]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2618,plain,
% 152.90/153.25 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2617]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_214,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 152.90/153.25 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2266_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2613,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 152.90/153.25 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_214]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2614,plain,
% 152.90/153.25 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2613]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_212,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 152.90/153.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2267_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2609,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 152.90/153.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_212]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2610,plain,
% 152.90/153.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2609]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_210,plain,
% 152.90/153.25 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 152.90/153.25 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2268_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2605,plain,
% 152.90/153.25 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 152.90/153.25 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_210]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2606,plain,
% 152.90/153.25 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 152.90/153.25 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2605]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_208,plain,
% 152.90/153.25 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 152.90/153.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2271_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2601,plain,
% 152.90/153.25 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 152.90/153.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_208]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2602,plain,
% 152.90/153.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.90/153.25 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2601]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_206,plain,
% 152.90/153.25 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 152.90/153.25 | ~ class_Power_Opower(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2272_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2597,plain,
% 152.90/153.25 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 152.90/153.25 | ~ class_Power_Opower(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_206]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2598,plain,
% 152.90/153.25 ( ~ class_Power_Opower(X0)
% 152.90/153.25 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2597]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_204,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.90/153.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2273_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2593,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.90/153.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_204]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2594,plain,
% 152.90/153.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2593]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_202,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.90/153.25 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2274_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2589,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.90/153.25 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_202]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2590,plain,
% 152.90/153.25 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2589]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_200,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.90/153.25 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2275_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2585,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.90/153.25 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_200]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2586,plain,
% 152.90/153.25 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.90/153.25 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2585]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_198,plain,
% 152.90/153.25 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 152.90/153.25 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2276_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2581,plain,
% 152.90/153.25 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 152.90/153.25 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_198]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2582,plain,
% 152.90/153.25 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 152.90/153.25 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2581]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_196,plain,
% 152.90/153.25 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 152.90/153.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2277_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2577,plain,
% 152.90/153.25 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 152.90/153.25 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_196]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2578,plain,
% 152.90/153.25 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.90/153.25 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2577]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_194,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2293_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2573,plain,
% 152.90/153.25 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.90/153.25 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_194]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2574,plain,
% 152.90/153.25 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.90/153.25 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2573]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_191,plain,
% 152.90/153.25 ( X0 = X1
% 152.90/153.25 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 152.90/153.25 | ~ class_Nat_Osemiring__char__0(X2) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2297_2) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2567,plain,
% 152.90/153.25 ( X0 = X1
% 152.90/153.25 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 152.90/153.25 | ~ class_Nat_Osemiring__char__0(X2) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_191]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2568,plain,
% 152.90/153.25 ( ~ class_Nat_Osemiring__char__0(X0)
% 152.90/153.25 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 152.90/153.25 | X1 = X2 ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2567]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_189,plain,
% 152.90/153.25 ( X0 = X1 | c_Type_Otype_OFun(X0,X2) != c_Type_Otype_OFun(X1,X3) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2303_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2563,plain,
% 152.90/153.25 ( X0 = X1 | c_Type_Otype_OFun(X0,X2) != c_Type_Otype_OFun(X1,X3) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_189]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2564,plain,
% 152.90/153.25 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X0 = X2 ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2563]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_187,plain,
% 152.90/153.25 ( X0 = X1 | c_Type_Otype_OFun(X2,X0) != c_Type_Otype_OFun(X3,X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2304_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2559,plain,
% 152.90/153.25 ( X0 = X1 | c_Type_Otype_OFun(X2,X0) != c_Type_Otype_OFun(X3,X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_187]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2560,plain,
% 152.90/153.25 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X1 = X3 ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2559]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_185,plain,
% 152.90/153.25 ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2305_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2555,plain,
% 152.90/153.25 ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_185]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2556,plain,
% 152.90/153.25 ( c_List_Orev(X0,X1) != c_List_Orev(X2,X1) | X0 = X2 ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2555]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_183,plain,
% 152.90/153.25 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2310_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2551,plain,
% 152.90/153.25 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_183]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_181,plain,
% 152.90/153.25 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 152.90/153.25 | ~ class_Orderings_Opreorder(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2311_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2547,plain,
% 152.90/153.25 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 152.90/153.25 | ~ class_Orderings_Opreorder(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_181]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_177,plain,
% 152.90/153.25 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.25 | c_List_Orev(X0,X1) != c_List_Olist_ONil(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2313_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2539,plain,
% 152.90/153.25 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.25 | c_List_Orev(X0,X1) != c_List_Olist_ONil(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_177]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2540,plain,
% 152.90/153.25 ( c_List_Orev(X0,X1) != c_List_Olist_ONil(X1)
% 152.90/153.25 | X0 = c_List_Olist_ONil(X1) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2539]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_175,plain,
% 152.90/153.25 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.25 | c_List_Orotate1(X0,X1) != c_List_Olist_ONil(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2314_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2535,plain,
% 152.90/153.25 ( X0 = c_List_Olist_ONil(X1)
% 152.90/153.25 | c_List_Orotate1(X0,X1) != c_List_Olist_ONil(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_175]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2536,plain,
% 152.90/153.25 ( c_List_Orotate1(X0,X1) != c_List_Olist_ONil(X1)
% 152.90/153.25 | X0 = c_List_Olist_ONil(X1) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2535]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_173,plain,
% 152.90/153.25 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.90/153.25 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2315_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2531,plain,
% 152.90/153.25 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.90/153.25 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_173]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2532,plain,
% 152.90/153.25 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.90/153.25 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2531]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_171,plain,
% 152.90/153.25 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 152.90/153.25 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2316_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2527,plain,
% 152.90/153.25 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 152.90/153.25 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_171]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2528,plain,
% 152.90/153.25 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.90/153.25 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2527]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_169,plain,
% 152.90/153.25 ( c_OrderedGroup_Osemigroup__add(c_HOL_Oplus__class_Oplus(X0),X0)
% 152.90/153.25 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2317_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2523,plain,
% 152.90/153.25 ( c_OrderedGroup_Osemigroup__add(c_HOL_Oplus__class_Oplus(X0),X0)
% 152.90/153.25 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_169]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2524,plain,
% 152.90/153.25 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 152.90/153.25 | c_OrderedGroup_Osemigroup__add(c_HOL_Oplus__class_Oplus(X0),X0) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2523]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_165,plain,
% 152.90/153.25 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.90/153.25 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2326_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2515,plain,
% 152.90/153.25 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.90/153.25 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_165]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2516,plain,
% 152.90/153.25 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 152.90/153.25 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2515]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_163,plain,
% 152.90/153.25 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2327_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2511,plain,
% 152.90/153.25 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_163]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2512,plain,
% 152.90/153.25 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2511]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_161,plain,
% 152.90/153.25 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2328_1) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2507,plain,
% 152.90/153.25 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_161]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2508,plain,
% 152.90/153.25 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 152.90/153.25 inference(rewriting,[status(thm)],[c_2507]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_160,plain,
% 152.90/153.25 ( 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) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1928_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2505,plain,
% 152.90/153.25 ( 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) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_160]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_159,plain,
% 152.90/153.25 ( 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) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1954_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2503,plain,
% 152.90/153.25 ( 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) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_159]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_158,plain,
% 152.90/153.25 ( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Olist_ONil(X1)),X2)) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2089_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2501,plain,
% 152.90/153.25 ( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),c_List_Olist_ONil(X1)),X2)) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_158]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_157,plain,
% 152.90/153.25 ( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),X2),c_List_Olist_ONil(X1))) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2109_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2499,plain,
% 152.90/153.25 ( ~ hBOOL(hAPP(hAPP(c_ListOrder_Ostep1(X0,X1),X2),c_List_Olist_ONil(X1))) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_157]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_156,plain,
% 152.90/153.25 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2141_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2497,plain,
% 152.90/153.25 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_156]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_155,plain,
% 152.90/153.25 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2142_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2495,plain,
% 152.90/153.25 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_155]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_154,plain,
% 152.90/153.25 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X0)),X1)) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2187_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2493,plain,
% 152.90/153.25 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X0)),X1)) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_154]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_153,plain,
% 152.90/153.25 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2238_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2491,plain,
% 152.90/153.25 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_153]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_150,plain,
% 152.90/153.25 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2246_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2485,plain,
% 152.90/153.25 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_150]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_148,plain,
% 152.90/153.25 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2248_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2481,plain,
% 152.90/153.25 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_148]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_146,plain,
% 152.90/153.25 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2250_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2477,plain,
% 152.90/153.25 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 152.90/153.25 inference(copy,[status(esa)],[c_146]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_144,plain,
% 152.90/153.25 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2253_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2473,plain,
% 152.90/153.25 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_144]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_143,plain,
% 152.90/153.25 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2280_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2471,plain,
% 152.90/153.25 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_143]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_142,plain,
% 152.90/153.25 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2281_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2469,plain,
% 152.90/153.25 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_142]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_141,plain,
% 152.90/153.25 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2282_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2467,plain,
% 152.90/153.25 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_141]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_140,plain,
% 152.90/153.25 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2283_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2465,plain,
% 152.90/153.25 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_140]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_139,plain,
% 152.90/153.25 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2329_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2463,plain,
% 152.90/153.25 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_139]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_138,plain,
% 152.90/153.25 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2330_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2461,plain,
% 152.90/153.25 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_138]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_133,plain,
% 152.90/153.25 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1918_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2455,plain,
% 152.90/153.25 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_r____),v_a____),c_HOL_Ozero__class_Ozero(tc_nat)),v_as____,tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_133]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_130,plain,
% 152.90/153.25 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1939_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2451,plain,
% 152.90/153.25 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_H____) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_130]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_129,plain,
% 152.90/153.25 ( c_Type_Otyping(c_Type_Oshift(v_ea______,v_ia______,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_Ha______) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_1940_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2449,plain,
% 152.90/153.25 ( c_Type_Otyping(c_Type_Oshift(v_ea______,v_ia______,v_T____,tc_Type_Otype),c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_r____)),v_a____),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),v_T_Ha______) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_129]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_110,plain,
% 152.90/153.25 ( 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)))) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2013_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2429,plain,
% 152.90/153.25 ( 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)))) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_110]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_106,plain,
% 152.90/153.25 ( c_List_Oappend(c_List_Oreplicate(X0,X1,X2),c_List_Oreplicate(X3,X1,X2),X2) = c_List_Oappend(c_List_Oreplicate(X3,X1,X2),c_List_Oreplicate(X0,X1,X2),X2) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2034_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2424,plain,
% 152.90/153.25 ( c_List_Oappend(c_List_Oreplicate(X0,X1,X2),c_List_Oreplicate(X3,X1,X2),X2) = c_List_Oappend(c_List_Oreplicate(X3,X1,X2),c_List_Oreplicate(X0,X1,X2),X2) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_106]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_79,plain,
% 152.90/153.25 ( 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)) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2118_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2396,plain,
% 152.90/153.25 ( 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)) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_79]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_69,plain,
% 152.90/153.25 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X2)) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2160_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2384,plain,
% 152.90/153.25 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X2)) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_69]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_60,plain,
% 152.90/153.25 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2214_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2374,plain,
% 152.90/153.25 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_60]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_58,plain,
% 152.90/153.25 ( hBOOL(hAPP(hAPP(c_fequal(X0),X1),X1)) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2223_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2371,plain,
% 152.90/153.25 ( hBOOL(hAPP(hAPP(c_fequal(X0),X1),X1)) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_58]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_57,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2244_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2369,plain,
% 152.90/153.25 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_57]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_56,plain,
% 152.90/153.25 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2251_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2367,plain,
% 152.90/153.25 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_56]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_43,plain,
% 152.90/153.25 ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2292_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2353,plain,
% 152.90/153.25 ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_43]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_36,plain,
% 152.90/153.25 ( c_Type_Otyping(v_ea______,v_ua______,v_T____) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2301_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2345,plain,
% 152.90/153.25 ( c_Type_Otyping(v_ea______,v_ua______,v_T____) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_36]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_35,plain,
% 152.90/153.25 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2302_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2343,plain,
% 152.90/153.25 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_35]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_31,plain,
% 152.90/153.25 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2309_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2338,plain,
% 152.90/153.25 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_31]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_30,plain,
% 152.90/153.25 ( hBOOL(hAPP(c_InductTermi_OIT,v_a____)) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2318_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2336,plain,
% 152.90/153.25 ( hBOOL(hAPP(c_InductTermi_OIT,v_a____)) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_30]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_26,plain,
% 152.90/153.25 ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2322_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2331,plain,
% 152.90/153.25 ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_26]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_25,plain,
% 152.90/153.25 ( hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2323_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2329,plain,
% 152.90/153.25 ( hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_25]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_23,plain,
% 152.90/153.25 ( class_Orderings_Oorder(tc_bool) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2331_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2326,plain,
% 152.90/153.25 ( class_Orderings_Oorder(tc_bool) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_23]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_22,plain,
% 152.90/153.25 ( class_Orderings_Opreorder(tc_bool) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2332_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2324,plain,
% 152.90/153.25 ( class_Orderings_Opreorder(tc_bool) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_22]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_21,plain,
% 152.90/153.25 ( class_Power_Opower(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2333_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2322,plain,
% 152.90/153.25 ( class_Power_Opower(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_21]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_20,plain,
% 152.90/153.25 ( class_Orderings_Oorder(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2334_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2320,plain,
% 152.90/153.25 ( class_Orderings_Oorder(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_20]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_19,plain,
% 152.90/153.25 ( class_Orderings_Olinorder(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2335_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2318,plain,
% 152.90/153.25 ( class_Orderings_Olinorder(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_19]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_18,plain,
% 152.90/153.25 ( class_Orderings_Opreorder(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2336_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2316,plain,
% 152.90/153.25 ( class_Orderings_Opreorder(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_18]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_17,plain,
% 152.90/153.25 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2337_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2314,plain,
% 152.90/153.25 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_17]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_16,plain,
% 152.90/153.25 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2338_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2312,plain,
% 152.90/153.25 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_16]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_15,plain,
% 152.90/153.25 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2339_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2310,plain,
% 152.90/153.25 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_15]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_14,plain,
% 152.90/153.25 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2340_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2308,plain,
% 152.90/153.25 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_14]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_13,plain,
% 152.90/153.25 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2341_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2306,plain,
% 152.90/153.25 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_13]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_12,plain,
% 152.90/153.25 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2342_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2304,plain,
% 152.90/153.25 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_12]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_11,plain,
% 152.90/153.25 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2343_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2302,plain,
% 152.90/153.25 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_11]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_10,plain,
% 152.90/153.25 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2344_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2300,plain,
% 152.90/153.25 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_10]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_9,plain,
% 152.90/153.25 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2345_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2298,plain,
% 152.90/153.25 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_9]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_8,plain,
% 152.90/153.25 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2346_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2296,plain,
% 152.90/153.25 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_8]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_7,plain,
% 152.90/153.25 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2347_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2294,plain,
% 152.90/153.25 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_7]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_6,plain,
% 152.90/153.25 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2348_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2292,plain,
% 152.90/153.25 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_6]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_5,plain,
% 152.90/153.25 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2349_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2290,plain,
% 152.90/153.25 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_5]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_4,plain,
% 152.90/153.25 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2350_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2288,plain,
% 152.90/153.25 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_4]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_3,plain,
% 152.90/153.25 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2351_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2286,plain,
% 152.90/153.25 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_3]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2,plain,
% 152.90/153.25 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2352_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2284,plain,
% 152.90/153.25 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_2]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_1,plain,
% 152.90/153.25 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2353_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2282,plain,
% 152.90/153.25 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_1]) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_0,plain,
% 152.90/153.25 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 152.90/153.25 file('/export/starexec/sandbox/tmp/iprover_modulo_0c268b.p', c_0_2354_0) ).
% 152.90/153.25
% 152.90/153.25 cnf(c_2280,plain,
% 152.90/153.25 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 152.90/153.25 inference(copy,[status(esa)],[c_0]) ).
% 152.90/153.25
% 152.90/153.25
% 152.90/153.25
% 152.90/153.25 % ------ Statistics
% 152.90/153.25
% 152.90/153.25 % ------ General
% 152.90/153.25
% 152.90/153.25 % num_of_input_clauses: 967
% 152.90/153.25 % num_of_input_neg_conjectures: 1
% 152.90/153.25 % num_of_splits: 0
% 152.90/153.25 % num_of_split_atoms: 0
% 152.90/153.25 % num_of_sem_filtered_clauses: 0
% 152.90/153.25 % num_of_subtypes: 0
% 152.90/153.25 % monotx_restored_types: 0
% 152.90/153.25 % sat_num_of_epr_types: 0
% 152.90/153.25 % sat_num_of_non_cyclic_types: 0
% 152.90/153.25 % sat_guarded_non_collapsed_types: 0
% 152.90/153.25 % is_epr: 0
% 152.90/153.25 % is_horn: 0
% 152.90/153.25 % has_eq: 1
% 152.90/153.25 % num_pure_diseq_elim: 0
% 152.90/153.25 % simp_replaced_by: 0
% 152.90/153.25 % res_preprocessed: 2
% 152.90/153.25 % prep_upred: 0
% 152.90/153.25 % prep_unflattend: 0
% 152.90/153.25 % pred_elim_cands: 0
% 152.90/153.25 % pred_elim: 0
% 152.90/153.25 % pred_elim_cl: 0
% 152.90/153.25 % pred_elim_cycles: 0
% 152.90/153.25 % forced_gc_time: 0
% 152.90/153.25 % gc_basic_clause_elim: 0
% 152.90/153.25 % parsing_time: 0.027
% 152.90/153.25 % sem_filter_time: 0.
% 152.90/153.25 % pred_elim_time: 0.
% 152.90/153.25 % out_proof_time: 0.
% 152.90/153.25 % monotx_time: 0.
% 152.90/153.25 % subtype_inf_time: 0.
% 152.90/153.25 % unif_index_cands_time: 0.
% 152.90/153.25 % unif_index_add_time: 0.001
% 152.90/153.25 % total_time: 2.62
% 152.90/153.25 % num_of_symbols: 132
% 152.90/153.25 % num_of_terms: 3207
% 152.90/153.25
% 152.90/153.25 % ------ Propositional Solver
% 152.90/153.25
% 152.90/153.25 % prop_solver_calls: 1
% 152.90/153.25 % prop_fast_solver_calls: 3
% 152.90/153.25 % prop_num_of_clauses: 961
% 152.90/153.25 % prop_preprocess_simplified: 2845
% 152.90/153.25 % prop_fo_subsumed: 0
% 152.90/153.25 % prop_solver_time: 0.
% 152.90/153.25 % prop_fast_solver_time: 0.
% 152.90/153.25 % prop_unsat_core_time: 0.
% 152.90/153.25
% 152.90/153.25 % ------ QBF
% 152.90/153.25
% 152.90/153.25 % qbf_q_res: 0
% 152.90/153.25 % qbf_num_tautologies: 0
% 152.90/153.25 % qbf_prep_cycles: 0
% 152.90/153.25
% 152.90/153.25 % ------ BMC1
% 152.90/153.25
% 152.90/153.25 % bmc1_current_bound: -1
% 152.90/153.25 % bmc1_last_solved_bound: -1
% 152.90/153.25 % bmc1_unsat_core_size: -1
% 152.90/153.25 % bmc1_unsat_core_parents_size: -1
% 152.90/153.25 % bmc1_merge_next_fun: 0
% 152.90/153.25 % bmc1_unsat_core_clauses_time: 0.
% 152.90/153.25
% 152.90/153.25 % ------ Instantiation
% 152.90/153.25
% 152.90/153.25 % inst_num_of_clauses: 877
% 152.90/153.25 % inst_num_in_passive: 0
% 152.90/153.25 % inst_num_in_active: 0
% 152.90/153.25 % inst_num_in_unprocessed: 967
% 152.90/153.25 % inst_num_of_loops: 0
% 152.90/153.25 % inst_num_of_learning_restarts: 0
% 152.90/153.25 % inst_num_moves_active_passive: 0
% 152.90/153.25 % inst_lit_activity: 0
% 152.90/153.25 % inst_lit_activity_moves: 0
% 152.90/153.26 % inst_num_tautologies: 0
% 152.90/153.26 % inst_num_prop_implied: 0
% 152.90/153.26 % inst_num_existing_simplified: 0
% 152.90/153.26 % inst_num_eq_res_simplified: 0
% 152.90/153.26 % inst_num_child_elim: 0
% 152.90/153.26 % inst_num_of_dismatching_blockings: 0
% 152.90/153.26 % inst_num_of_non_proper_insts: 0
% 152.90/153.26 % inst_num_of_duplicates: 0
% 152.90/153.26 % inst_inst_num_from_inst_to_res: 0
% 152.90/153.26 % inst_dismatching_checking_time: 0.
% 152.90/153.26
% 152.90/153.26 % ------ Resolution
% 152.90/153.26
% 152.90/153.26 % res_num_of_clauses: 932
% 152.90/153.26 % res_num_in_passive: 0
% 152.90/153.26 % res_num_in_active: 370
% 152.90/153.26 % res_num_of_loops: 3
% 152.90/153.26 % res_forward_subset_subsumed: 502
% 152.90/153.26 % res_backward_subset_subsumed: 0
% 152.90/153.26 % res_forward_subsumed: 1
% 152.90/153.26 % res_backward_subsumed: 0
% 152.90/153.26 % res_forward_subsumption_resolution: 0
% 152.90/153.26 % res_backward_subsumption_resolution: 0
% 152.90/153.26 % res_clause_to_clause_subsumption: 1
% 152.90/153.26 % res_orphan_elimination: 0
% 152.90/153.26 % res_tautology_del: 0
% 152.90/153.26 % res_num_eq_res_simplified: 0
% 152.90/153.26 % res_num_sel_changes: 0
% 152.90/153.26 % res_moves_from_active_to_pass: 0
% 152.90/153.26
% 152.90/153.26 % Status Unknown
% 152.90/153.26 % Last status :
% 152.90/153.26 % SZS status Unknown
%------------------------------------------------------------------------------