TSTP Solution File: LCL812-1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL812-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n012.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 11:40:09 EDT 2022
% Result : Unknown 152.58s 153.40s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL812-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jul 3 13:32:46 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.19/0.51 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.51 % Orientation found
% 0.19/0.51 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_66a415.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_b45665.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_b6a5a0 | grep -v "SZS"
% 0.35/0.53
% 0.35/0.53 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.35/0.53
% 0.35/0.53 %
% 0.35/0.53 % ------ iProver source info
% 0.35/0.53
% 0.35/0.53 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.35/0.53 % git: non_committed_changes: true
% 0.35/0.53 % git: last_make_outside_of_git: true
% 0.35/0.53
% 0.35/0.53 %
% 0.35/0.53 % ------ Input Options
% 0.35/0.53
% 0.35/0.53 % --out_options all
% 0.35/0.53 % --tptp_safe_out true
% 0.35/0.53 % --problem_path ""
% 0.35/0.53 % --include_path ""
% 0.35/0.53 % --clausifier .//eprover
% 0.35/0.53 % --clausifier_options --tstp-format
% 0.35/0.53 % --stdin false
% 0.35/0.53 % --dbg_backtrace false
% 0.35/0.53 % --dbg_dump_prop_clauses false
% 0.35/0.53 % --dbg_dump_prop_clauses_file -
% 0.35/0.53 % --dbg_out_stat false
% 0.35/0.53
% 0.35/0.53 % ------ General Options
% 0.35/0.53
% 0.35/0.53 % --fof false
% 0.35/0.53 % --time_out_real 150.
% 0.35/0.53 % --time_out_prep_mult 0.2
% 0.35/0.53 % --time_out_virtual -1.
% 0.35/0.53 % --schedule none
% 0.35/0.53 % --ground_splitting input
% 0.35/0.53 % --splitting_nvd 16
% 0.35/0.53 % --non_eq_to_eq false
% 0.35/0.53 % --prep_gs_sim true
% 0.35/0.53 % --prep_unflatten false
% 0.35/0.53 % --prep_res_sim true
% 0.35/0.53 % --prep_upred true
% 0.35/0.53 % --res_sim_input true
% 0.35/0.53 % --clause_weak_htbl true
% 0.35/0.53 % --gc_record_bc_elim false
% 0.35/0.53 % --symbol_type_check false
% 0.35/0.53 % --clausify_out false
% 0.35/0.53 % --large_theory_mode false
% 0.35/0.53 % --prep_sem_filter none
% 0.35/0.53 % --prep_sem_filter_out false
% 0.35/0.53 % --preprocessed_out false
% 0.35/0.53 % --sub_typing false
% 0.35/0.53 % --brand_transform false
% 0.35/0.53 % --pure_diseq_elim true
% 0.35/0.53 % --min_unsat_core false
% 0.35/0.53 % --pred_elim true
% 0.35/0.53 % --add_important_lit false
% 0.35/0.53 % --soft_assumptions false
% 0.35/0.53 % --reset_solvers false
% 0.35/0.53 % --bc_imp_inh []
% 0.35/0.53 % --conj_cone_tolerance 1.5
% 0.35/0.53 % --prolific_symb_bound 500
% 0.35/0.53 % --lt_threshold 2000
% 0.35/0.53
% 0.35/0.53 % ------ SAT Options
% 0.35/0.53
% 0.35/0.53 % --sat_mode false
% 0.35/0.53 % --sat_fm_restart_options ""
% 0.35/0.53 % --sat_gr_def false
% 0.35/0.53 % --sat_epr_types true
% 0.35/0.53 % --sat_non_cyclic_types false
% 0.35/0.53 % --sat_finite_models false
% 0.35/0.53 % --sat_fm_lemmas false
% 0.35/0.53 % --sat_fm_prep false
% 0.35/0.53 % --sat_fm_uc_incr true
% 0.35/0.53 % --sat_out_model small
% 0.35/0.53 % --sat_out_clauses false
% 0.35/0.53
% 0.35/0.53 % ------ QBF Options
% 0.35/0.53
% 0.35/0.53 % --qbf_mode false
% 0.35/0.53 % --qbf_elim_univ true
% 0.35/0.53 % --qbf_sk_in true
% 0.35/0.53 % --qbf_pred_elim true
% 0.35/0.53 % --qbf_split 32
% 0.35/0.53
% 0.35/0.53 % ------ BMC1 Options
% 0.35/0.53
% 0.35/0.53 % --bmc1_incremental false
% 0.35/0.53 % --bmc1_axioms reachable_all
% 0.35/0.53 % --bmc1_min_bound 0
% 0.35/0.53 % --bmc1_max_bound -1
% 0.35/0.53 % --bmc1_max_bound_default -1
% 0.35/0.53 % --bmc1_symbol_reachability true
% 0.35/0.53 % --bmc1_property_lemmas false
% 0.35/0.53 % --bmc1_k_induction false
% 0.35/0.53 % --bmc1_non_equiv_states false
% 0.35/0.53 % --bmc1_deadlock false
% 0.35/0.53 % --bmc1_ucm false
% 0.35/0.53 % --bmc1_add_unsat_core none
% 0.35/0.53 % --bmc1_unsat_core_children false
% 0.35/0.53 % --bmc1_unsat_core_extrapolate_axioms false
% 0.35/0.53 % --bmc1_out_stat full
% 0.35/0.53 % --bmc1_ground_init false
% 0.35/0.53 % --bmc1_pre_inst_next_state false
% 0.35/0.53 % --bmc1_pre_inst_state false
% 0.35/0.53 % --bmc1_pre_inst_reach_state false
% 0.35/0.53 % --bmc1_out_unsat_core false
% 0.35/0.53 % --bmc1_aig_witness_out false
% 0.35/0.53 % --bmc1_verbose false
% 0.35/0.53 % --bmc1_dump_clauses_tptp false
% 4.35/5.40 % --bmc1_dump_unsat_core_tptp false
% 4.35/5.40 % --bmc1_dump_file -
% 4.35/5.40 % --bmc1_ucm_expand_uc_limit 128
% 4.35/5.40 % --bmc1_ucm_n_expand_iterations 6
% 4.35/5.40 % --bmc1_ucm_extend_mode 1
% 4.35/5.40 % --bmc1_ucm_init_mode 2
% 4.35/5.40 % --bmc1_ucm_cone_mode none
% 4.35/5.40 % --bmc1_ucm_reduced_relation_type 0
% 4.35/5.40 % --bmc1_ucm_relax_model 4
% 4.35/5.40 % --bmc1_ucm_full_tr_after_sat true
% 4.35/5.40 % --bmc1_ucm_expand_neg_assumptions false
% 4.35/5.40 % --bmc1_ucm_layered_model none
% 4.35/5.40 % --bmc1_ucm_max_lemma_size 10
% 4.35/5.40
% 4.35/5.40 % ------ AIG Options
% 4.35/5.40
% 4.35/5.40 % --aig_mode false
% 4.35/5.40
% 4.35/5.40 % ------ Instantiation Options
% 4.35/5.40
% 4.35/5.40 % --instantiation_flag true
% 4.35/5.40 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 4.35/5.40 % --inst_solver_per_active 750
% 4.35/5.40 % --inst_solver_calls_frac 0.5
% 4.35/5.40 % --inst_passive_queue_type priority_queues
% 4.35/5.40 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 4.35/5.40 % --inst_passive_queues_freq [25;2]
% 4.35/5.40 % --inst_dismatching true
% 4.35/5.40 % --inst_eager_unprocessed_to_passive true
% 4.35/5.40 % --inst_prop_sim_given true
% 4.35/5.40 % --inst_prop_sim_new false
% 4.35/5.40 % --inst_orphan_elimination true
% 4.35/5.40 % --inst_learning_loop_flag true
% 4.35/5.40 % --inst_learning_start 3000
% 4.35/5.40 % --inst_learning_factor 2
% 4.35/5.40 % --inst_start_prop_sim_after_learn 3
% 4.35/5.40 % --inst_sel_renew solver
% 4.35/5.40 % --inst_lit_activity_flag true
% 4.35/5.40 % --inst_out_proof true
% 4.35/5.40
% 4.35/5.40 % ------ Resolution Options
% 4.35/5.40
% 4.35/5.40 % --resolution_flag true
% 4.35/5.40 % --res_lit_sel kbo_max
% 4.35/5.40 % --res_to_prop_solver none
% 4.35/5.40 % --res_prop_simpl_new false
% 4.35/5.40 % --res_prop_simpl_given false
% 4.35/5.40 % --res_passive_queue_type priority_queues
% 4.35/5.40 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 4.35/5.40 % --res_passive_queues_freq [15;5]
% 4.35/5.40 % --res_forward_subs full
% 4.35/5.40 % --res_backward_subs full
% 4.35/5.40 % --res_forward_subs_resolution true
% 4.35/5.40 % --res_backward_subs_resolution true
% 4.35/5.40 % --res_orphan_elimination false
% 4.35/5.40 % --res_time_limit 1000.
% 4.35/5.40 % --res_out_proof true
% 4.35/5.40 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_66a415.s
% 4.35/5.40 % --modulo true
% 4.35/5.40
% 4.35/5.40 % ------ Combination Options
% 4.35/5.40
% 4.35/5.40 % --comb_res_mult 1000
% 4.35/5.40 % --comb_inst_mult 300
% 4.35/5.40 % ------
% 4.35/5.40
% 4.35/5.40 % ------ Parsing...% successful
% 4.35/5.40
% 4.35/5.40 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 4.35/5.40
% 4.35/5.40 % ------ Proving...
% 4.35/5.40 % ------ Problem Properties
% 4.35/5.40
% 4.35/5.40 %
% 4.35/5.40 % EPR false
% 4.35/5.40 % Horn false
% 4.35/5.40 % Has equality true
% 4.35/5.40
% 4.35/5.40 % % ------ Input Options Time Limit: Unbounded
% 4.35/5.40
% 4.35/5.40
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 Compiling...
% 4.35/5.40 Loading plugin: done.
% 4.35/5.40 % % ------ Current options:
% 4.35/5.40
% 4.35/5.40 % ------ Input Options
% 4.35/5.40
% 4.35/5.40 % --out_options all
% 4.35/5.40 % --tptp_safe_out true
% 4.35/5.40 % --problem_path ""
% 4.35/5.40 % --include_path ""
% 4.35/5.40 % --clausifier .//eprover
% 4.35/5.40 % --clausifier_options --tstp-format
% 4.35/5.40 % --stdin false
% 4.35/5.40 % --dbg_backtrace false
% 4.35/5.40 % --dbg_dump_prop_clauses false
% 4.35/5.40 % --dbg_dump_prop_clauses_file -
% 4.35/5.40 % --dbg_out_stat false
% 4.35/5.40
% 4.35/5.40 % ------ General Options
% 4.35/5.40
% 4.35/5.40 % --fof false
% 4.35/5.40 % --time_out_real 150.
% 4.35/5.40 % --time_out_prep_mult 0.2
% 4.35/5.40 % --time_out_virtual -1.
% 4.35/5.40 % --schedule none
% 4.35/5.40 % --ground_splitting input
% 4.35/5.40 % --splitting_nvd 16
% 4.35/5.40 % --non_eq_to_eq false
% 4.35/5.40 % --prep_gs_sim true
% 4.35/5.40 % --prep_unflatten false
% 4.35/5.40 % --prep_res_sim true
% 4.35/5.40 % --prep_upred true
% 4.35/5.40 % --res_sim_input true
% 4.35/5.40 % --clause_weak_htbl true
% 4.35/5.40 % --gc_record_bc_elim false
% 4.35/5.40 % --symbol_type_check false
% 4.35/5.40 % --clausify_out false
% 4.35/5.40 % --large_theory_mode false
% 4.35/5.40 % --prep_sem_filter none
% 4.35/5.40 % --prep_sem_filter_out false
% 4.35/5.40 % --preprocessed_out false
% 4.35/5.40 % --sub_typing false
% 4.35/5.40 % --brand_transform false
% 4.35/5.40 % --pure_diseq_elim true
% 4.35/5.40 % --min_unsat_core false
% 4.35/5.40 % --pred_elim true
% 4.35/5.40 % --add_important_lit false
% 4.35/5.40 % --soft_assumptions false
% 4.35/5.40 % --reset_solvers false
% 4.35/5.40 % --bc_imp_inh []
% 4.35/5.40 % --conj_cone_tolerance 1.5
% 4.35/5.40 % --prolific_symb_bound 500
% 4.35/5.40 % --lt_threshold 2000
% 4.35/5.40
% 4.35/5.40 % ------ SAT Options
% 4.35/5.40
% 4.35/5.40 % --sat_mode false
% 4.35/5.40 % --sat_fm_restart_options ""
% 4.35/5.40 % --sat_gr_def false
% 4.35/5.40 % --sat_epr_types true
% 4.35/5.40 % --sat_non_cyclic_types false
% 4.35/5.40 % --sat_finite_models false
% 4.35/5.40 % --sat_fm_lemmas false
% 4.35/5.40 % --sat_fm_prep false
% 4.35/5.40 % --sat_fm_uc_incr true
% 4.35/5.40 % --sat_out_model small
% 4.35/5.40 % --sat_out_clauses false
% 4.35/5.40
% 4.35/5.40 % ------ QBF Options
% 4.35/5.40
% 4.35/5.40 % --qbf_mode false
% 4.35/5.40 % --qbf_elim_univ true
% 4.35/5.40 % --qbf_sk_in true
% 4.35/5.40 % --qbf_pred_elim true
% 4.35/5.40 % --qbf_split 32
% 4.35/5.40
% 4.35/5.40 % ------ BMC1 Options
% 4.35/5.40
% 4.35/5.40 % --bmc1_incremental false
% 4.35/5.40 % --bmc1_axioms reachable_all
% 4.35/5.40 % --bmc1_min_bound 0
% 4.35/5.40 % --bmc1_max_bound -1
% 4.35/5.40 % --bmc1_max_bound_default -1
% 4.35/5.40 % --bmc1_symbol_reachability true
% 4.35/5.40 % --bmc1_property_lemmas false
% 4.35/5.40 % --bmc1_k_induction false
% 4.35/5.40 % --bmc1_non_equiv_states false
% 4.35/5.40 % --bmc1_deadlock false
% 4.35/5.40 % --bmc1_ucm false
% 4.35/5.40 % --bmc1_add_unsat_core none
% 4.35/5.40 % --bmc1_unsat_core_children false
% 4.35/5.40 % --bmc1_unsat_core_extrapolate_axioms false
% 4.35/5.40 % --bmc1_out_stat full
% 4.35/5.40 % --bmc1_ground_init false
% 4.35/5.40 % --bmc1_pre_inst_next_state false
% 4.35/5.40 % --bmc1_pre_inst_state false
% 4.35/5.40 % --bmc1_pre_inst_reach_state false
% 4.35/5.40 % --bmc1_out_unsat_core false
% 4.35/5.40 % --bmc1_aig_witness_out false
% 4.35/5.40 % --bmc1_verbose false
% 4.35/5.40 % --bmc1_dump_clauses_tptp false
% 4.35/5.40 % --bmc1_dump_unsat_core_tptp false
% 4.35/5.40 % --bmc1_dump_file -
% 4.35/5.40 % --bmc1_ucm_expand_uc_limit 128
% 4.35/5.40 % --bmc1_ucm_n_expand_iterations 6
% 4.35/5.40 % --bmc1_ucm_extend_mode 1
% 4.35/5.40 % --bmc1_ucm_init_mode 2
% 149.68/150.53 % --bmc1_ucm_cone_mode none
% 149.68/150.53 % --bmc1_ucm_reduced_relation_type 0
% 149.68/150.53 % --bmc1_ucm_relax_model 4
% 149.68/150.53 % --bmc1_ucm_full_tr_after_sat true
% 149.68/150.53 % --bmc1_ucm_expand_neg_assumptions false
% 149.68/150.53 % --bmc1_ucm_layered_model none
% 149.68/150.53 % --bmc1_ucm_max_lemma_size 10
% 149.68/150.53
% 149.68/150.53 % ------ AIG Options
% 149.68/150.53
% 149.68/150.53 % --aig_mode false
% 149.68/150.53
% 149.68/150.53 % ------ Instantiation Options
% 149.68/150.53
% 149.68/150.53 % --instantiation_flag true
% 149.68/150.53 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 149.68/150.53 % --inst_solver_per_active 750
% 149.68/150.53 % --inst_solver_calls_frac 0.5
% 149.68/150.53 % --inst_passive_queue_type priority_queues
% 149.68/150.53 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 149.68/150.53 % --inst_passive_queues_freq [25;2]
% 149.68/150.53 % --inst_dismatching true
% 149.68/150.53 % --inst_eager_unprocessed_to_passive true
% 149.68/150.53 % --inst_prop_sim_given true
% 149.68/150.53 % --inst_prop_sim_new false
% 149.68/150.53 % --inst_orphan_elimination true
% 149.68/150.53 % --inst_learning_loop_flag true
% 149.68/150.53 % --inst_learning_start 3000
% 149.68/150.53 % --inst_learning_factor 2
% 149.68/150.53 % --inst_start_prop_sim_after_learn 3
% 149.68/150.53 % --inst_sel_renew solver
% 149.68/150.53 % --inst_lit_activity_flag true
% 149.68/150.53 % --inst_out_proof true
% 149.68/150.53
% 149.68/150.53 % ------ Resolution Options
% 149.68/150.53
% 149.68/150.53 % --resolution_flag true
% 149.68/150.53 % --res_lit_sel kbo_max
% 149.68/150.53 % --res_to_prop_solver none
% 149.68/150.53 % --res_prop_simpl_new false
% 149.68/150.53 % --res_prop_simpl_given false
% 149.68/150.53 % --res_passive_queue_type priority_queues
% 149.68/150.53 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 149.68/150.53 % --res_passive_queues_freq [15;5]
% 149.68/150.53 % --res_forward_subs full
% 149.68/150.53 % --res_backward_subs full
% 149.68/150.53 % --res_forward_subs_resolution true
% 149.68/150.53 % --res_backward_subs_resolution true
% 149.68/150.53 % --res_orphan_elimination false
% 149.68/150.53 % --res_time_limit 1000.
% 149.68/150.53 % --res_out_proof true
% 149.68/150.53 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_66a415.s
% 149.68/150.53 % --modulo true
% 149.68/150.53
% 149.68/150.53 % ------ Combination Options
% 149.68/150.53
% 149.68/150.53 % --comb_res_mult 1000
% 149.68/150.53 % --comb_inst_mult 300
% 149.68/150.53 % ------
% 149.68/150.53
% 149.68/150.53
% 149.68/150.53
% 149.68/150.53 % ------ Proving...
% 149.68/150.53 %
% 149.68/150.53
% 149.68/150.53
% 149.68/150.53 % Time Out Real
% 149.68/150.53
% 149.68/150.53 % ------ Statistics
% 149.68/150.53
% 149.68/150.53 % ------ General
% 149.68/150.53
% 149.68/150.53 % num_of_input_clauses: 1379
% 149.68/150.53 % num_of_input_neg_conjectures: 1
% 149.68/150.53 % num_of_splits: 0
% 149.68/150.53 % num_of_split_atoms: 0
% 149.68/150.53 % num_of_sem_filtered_clauses: 0
% 149.68/150.53 % num_of_subtypes: 0
% 149.68/150.53 % monotx_restored_types: 0
% 149.68/150.53 % sat_num_of_epr_types: 0
% 149.68/150.53 % sat_num_of_non_cyclic_types: 0
% 149.68/150.53 % sat_guarded_non_collapsed_types: 0
% 149.68/150.53 % is_epr: 0
% 149.68/150.53 % is_horn: 0
% 149.68/150.53 % has_eq: 1
% 149.68/150.53 % num_pure_diseq_elim: 0
% 149.68/150.53 % simp_replaced_by: 0
% 149.68/150.53 % res_preprocessed: 2
% 149.68/150.53 % prep_upred: 0
% 149.68/150.53 % prep_unflattend: 0
% 149.68/150.53 % pred_elim_cands: 0
% 149.68/150.53 % pred_elim: 0
% 149.68/150.53 % pred_elim_cl: 0
% 149.68/150.53 % pred_elim_cycles: 0
% 149.68/150.53 % forced_gc_time: 0
% 149.68/150.53 % gc_basic_clause_elim: 0
% 149.68/150.53 % parsing_time: 0.077
% 149.68/150.53 % sem_filter_time: 0.
% 149.68/150.53 % pred_elim_time: 0.
% 149.68/150.53 % out_proof_time: 0.
% 149.68/150.53 % monotx_time: 0.
% 149.68/150.53 % subtype_inf_time: 0.
% 149.68/150.53 % unif_index_cands_time: 0.003
% 149.68/150.53 % unif_index_add_time: 0.124
% 149.68/150.53 % total_time: 150.017
% 149.68/150.53 % num_of_symbols: 142
% 149.68/150.53 % num_of_terms: 477775
% 149.68/150.53
% 149.68/150.53 % ------ Propositional Solver
% 149.68/150.53
% 149.68/150.53 % prop_solver_calls: 2
% 149.68/150.53 % prop_fast_solver_calls: 3
% 149.68/150.53 % prop_num_of_clauses: 1574
% 149.68/150.53 % prop_preprocess_simplified: 6854
% 149.68/150.53 % prop_fo_subsumed: 0
% 149.68/150.53 % prop_solver_time: 0.
% 149.68/150.53 % prop_fast_solver_time: 0.
% 149.68/150.53 % prop_unsat_core_time: 0.
% 149.68/150.53
% 149.68/150.53 % ------ QBF
% 149.68/150.53
% 149.68/150.53 % qbf_q_res: 0
% 149.68/150.53 % qbf_num_tautologies: 0
% 149.68/150.53 % qbf_prep_cycles: 0
% 149.68/150.53
% 149.68/150.53 % ------ BMC1
% 149.68/150.53
% 149.68/150.53 % bmc1_current_bound: -1
% 149.68/150.53 % bmc1_last_solved_bound: -1
% 149.68/150.53 % bmc1_unsat_core_size: -1
% 149.68/150.53 % bmc1_unsat_core_parents_size: -1
% 149.68/150.53 % bmc1_merge_next_fun: 0
% 149.68/150.53 % bmc1_unsat_core_clauses_time: 0.
% 149.68/150.53
% 149.68/150.53 % ------ Instantiation
% 149.68/150.53
% 149.68/150.53 % inst_num_of_clauses: 1435
% 149.68/150.53 % inst_num_in_passive: 941
% 149.68/150.53 % inst_num_in_active: 299
% 149.68/150.53 % inst_num_in_unprocessed: 195
% 149.68/150.53 % inst_num_of_loops: 300
% 149.68/150.53 % inst_num_of_learning_restarts: 0
% 149.68/150.53 % inst_num_moves_active_passive: 0
% 149.68/150.53 % inst_lit_activity: 26
% 149.68/150.53 % inst_lit_activity_moves: 0
% 149.68/150.53 % inst_num_tautologies: 0
% 149.68/150.53 % inst_num_prop_implied: 0
% 149.68/150.53 % inst_num_existing_simplified: 0
% 149.68/150.53 % inst_num_eq_res_simplified: 0
% 149.68/150.53 % inst_num_child_elim: 0
% 149.68/150.53 % inst_num_of_dismatching_blockings: 88
% 149.68/150.53 % inst_num_of_non_proper_insts: 200
% 149.68/150.53 % inst_num_of_duplicates: 314
% 149.68/150.53 % inst_inst_num_from_inst_to_res: 0
% 149.68/150.53 % inst_dismatching_checking_time: 0.
% 149.68/150.53
% 149.68/150.53 % ------ Resolution
% 149.68/150.53
% 149.68/150.53 % res_num_of_clauses: 2743
% 149.68/150.53 % res_num_in_passive: 3
% 149.68/150.53 % res_num_in_active: 1892
% 149.68/150.53 % res_num_of_loops: 1708
% 149.68/150.53 % res_forward_subset_subsumed: 4485
% 149.68/150.53 % res_backward_subset_subsumed: 1
% 149.68/150.53 % res_forward_subsumed: 341
% 149.68/150.53 % res_backward_subsumed: 0
% 149.68/150.53 % res_forward_subsumption_resolution: 0
% 149.68/150.53 % res_backward_subsumption_resolution: 0
% 149.68/150.53 % res_clause_to_clause_subsumption: 2050
% 149.68/150.53 % res_orphan_elimination: 0
% 149.68/150.53 % res_tautology_del: 0
% 149.68/150.53 % res_num_eq_res_simplified: 0
% 149.68/150.53 % res_num_sel_changes: 0
% 149.68/150.53 % res_moves_from_active_to_pass: 0
% 149.68/150.53
% 149.68/150.54 % Status Unknown
% 149.78/150.68 % Orienting using strategy ClausalAll
% 149.78/150.68 % Orientation found
% 149.78/150.68 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_66a415.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_b45665.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_55c6c2 | grep -v "SZS"
% 149.78/150.69
% 149.78/150.69 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 149.78/150.69
% 149.78/150.69 %
% 149.78/150.69 % ------ iProver source info
% 149.78/150.69
% 149.78/150.69 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 149.78/150.69 % git: non_committed_changes: true
% 149.78/150.69 % git: last_make_outside_of_git: true
% 149.78/150.69
% 149.78/150.69 %
% 149.78/150.69 % ------ Input Options
% 149.78/150.69
% 149.78/150.69 % --out_options all
% 149.78/150.69 % --tptp_safe_out true
% 149.78/150.69 % --problem_path ""
% 149.78/150.69 % --include_path ""
% 149.78/150.69 % --clausifier .//eprover
% 149.78/150.69 % --clausifier_options --tstp-format
% 149.78/150.69 % --stdin false
% 149.78/150.69 % --dbg_backtrace false
% 149.78/150.69 % --dbg_dump_prop_clauses false
% 149.78/150.69 % --dbg_dump_prop_clauses_file -
% 149.78/150.69 % --dbg_out_stat false
% 149.78/150.69
% 149.78/150.69 % ------ General Options
% 149.78/150.69
% 149.78/150.69 % --fof false
% 149.78/150.69 % --time_out_real 150.
% 149.78/150.69 % --time_out_prep_mult 0.2
% 149.78/150.69 % --time_out_virtual -1.
% 149.78/150.69 % --schedule none
% 149.78/150.69 % --ground_splitting input
% 149.78/150.69 % --splitting_nvd 16
% 149.78/150.69 % --non_eq_to_eq false
% 149.78/150.69 % --prep_gs_sim true
% 149.78/150.69 % --prep_unflatten false
% 149.78/150.69 % --prep_res_sim true
% 149.78/150.69 % --prep_upred true
% 149.78/150.69 % --res_sim_input true
% 149.78/150.69 % --clause_weak_htbl true
% 149.78/150.69 % --gc_record_bc_elim false
% 149.78/150.69 % --symbol_type_check false
% 149.78/150.69 % --clausify_out false
% 149.78/150.69 % --large_theory_mode false
% 149.78/150.69 % --prep_sem_filter none
% 149.78/150.69 % --prep_sem_filter_out false
% 149.78/150.69 % --preprocessed_out false
% 149.78/150.69 % --sub_typing false
% 149.78/150.69 % --brand_transform false
% 149.78/150.69 % --pure_diseq_elim true
% 149.78/150.69 % --min_unsat_core false
% 149.78/150.69 % --pred_elim true
% 149.78/150.69 % --add_important_lit false
% 149.78/150.69 % --soft_assumptions false
% 149.78/150.69 % --reset_solvers false
% 149.78/150.69 % --bc_imp_inh []
% 149.78/150.69 % --conj_cone_tolerance 1.5
% 149.78/150.69 % --prolific_symb_bound 500
% 149.78/150.69 % --lt_threshold 2000
% 149.78/150.69
% 149.78/150.69 % ------ SAT Options
% 149.78/150.69
% 149.78/150.69 % --sat_mode false
% 149.78/150.69 % --sat_fm_restart_options ""
% 149.78/150.69 % --sat_gr_def false
% 149.78/150.69 % --sat_epr_types true
% 149.78/150.69 % --sat_non_cyclic_types false
% 149.78/150.69 % --sat_finite_models false
% 149.78/150.69 % --sat_fm_lemmas false
% 149.78/150.69 % --sat_fm_prep false
% 149.78/150.69 % --sat_fm_uc_incr true
% 149.78/150.69 % --sat_out_model small
% 149.78/150.69 % --sat_out_clauses false
% 149.78/150.69
% 149.78/150.69 % ------ QBF Options
% 149.78/150.69
% 149.78/150.69 % --qbf_mode false
% 149.78/150.69 % --qbf_elim_univ true
% 149.78/150.69 % --qbf_sk_in true
% 149.78/150.69 % --qbf_pred_elim true
% 149.78/150.69 % --qbf_split 32
% 149.78/150.69
% 149.78/150.69 % ------ BMC1 Options
% 149.78/150.69
% 149.78/150.69 % --bmc1_incremental false
% 149.78/150.69 % --bmc1_axioms reachable_all
% 149.78/150.69 % --bmc1_min_bound 0
% 149.78/150.69 % --bmc1_max_bound -1
% 149.78/150.69 % --bmc1_max_bound_default -1
% 149.78/150.69 % --bmc1_symbol_reachability true
% 149.78/150.69 % --bmc1_property_lemmas false
% 149.78/150.69 % --bmc1_k_induction false
% 149.78/150.69 % --bmc1_non_equiv_states false
% 149.78/150.69 % --bmc1_deadlock false
% 149.78/150.69 % --bmc1_ucm false
% 149.78/150.69 % --bmc1_add_unsat_core none
% 149.78/150.69 % --bmc1_unsat_core_children false
% 149.78/150.69 % --bmc1_unsat_core_extrapolate_axioms false
% 149.78/150.69 % --bmc1_out_stat full
% 149.78/150.69 % --bmc1_ground_init false
% 149.78/150.69 % --bmc1_pre_inst_next_state false
% 149.78/150.69 % --bmc1_pre_inst_state false
% 149.78/150.69 % --bmc1_pre_inst_reach_state false
% 149.78/150.69 % --bmc1_out_unsat_core false
% 149.78/150.69 % --bmc1_aig_witness_out false
% 149.78/150.69 % --bmc1_verbose false
% 149.78/150.69 % --bmc1_dump_clauses_tptp false
% 152.47/153.33 % --bmc1_dump_unsat_core_tptp false
% 152.47/153.33 % --bmc1_dump_file -
% 152.47/153.33 % --bmc1_ucm_expand_uc_limit 128
% 152.47/153.33 % --bmc1_ucm_n_expand_iterations 6
% 152.47/153.33 % --bmc1_ucm_extend_mode 1
% 152.47/153.33 % --bmc1_ucm_init_mode 2
% 152.47/153.33 % --bmc1_ucm_cone_mode none
% 152.47/153.33 % --bmc1_ucm_reduced_relation_type 0
% 152.47/153.33 % --bmc1_ucm_relax_model 4
% 152.47/153.33 % --bmc1_ucm_full_tr_after_sat true
% 152.47/153.33 % --bmc1_ucm_expand_neg_assumptions false
% 152.47/153.33 % --bmc1_ucm_layered_model none
% 152.47/153.33 % --bmc1_ucm_max_lemma_size 10
% 152.47/153.33
% 152.47/153.33 % ------ AIG Options
% 152.47/153.33
% 152.47/153.33 % --aig_mode false
% 152.47/153.33
% 152.47/153.33 % ------ Instantiation Options
% 152.47/153.33
% 152.47/153.33 % --instantiation_flag true
% 152.47/153.33 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 152.47/153.33 % --inst_solver_per_active 750
% 152.47/153.33 % --inst_solver_calls_frac 0.5
% 152.47/153.33 % --inst_passive_queue_type priority_queues
% 152.47/153.33 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 152.47/153.33 % --inst_passive_queues_freq [25;2]
% 152.47/153.33 % --inst_dismatching true
% 152.47/153.33 % --inst_eager_unprocessed_to_passive true
% 152.47/153.33 % --inst_prop_sim_given true
% 152.47/153.33 % --inst_prop_sim_new false
% 152.47/153.33 % --inst_orphan_elimination true
% 152.47/153.33 % --inst_learning_loop_flag true
% 152.47/153.33 % --inst_learning_start 3000
% 152.47/153.33 % --inst_learning_factor 2
% 152.47/153.33 % --inst_start_prop_sim_after_learn 3
% 152.47/153.33 % --inst_sel_renew solver
% 152.47/153.33 % --inst_lit_activity_flag true
% 152.47/153.33 % --inst_out_proof true
% 152.47/153.33
% 152.47/153.33 % ------ Resolution Options
% 152.47/153.33
% 152.47/153.33 % --resolution_flag true
% 152.47/153.33 % --res_lit_sel kbo_max
% 152.47/153.33 % --res_to_prop_solver none
% 152.47/153.33 % --res_prop_simpl_new false
% 152.47/153.33 % --res_prop_simpl_given false
% 152.47/153.33 % --res_passive_queue_type priority_queues
% 152.47/153.33 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 152.47/153.33 % --res_passive_queues_freq [15;5]
% 152.47/153.33 % --res_forward_subs full
% 152.47/153.33 % --res_backward_subs full
% 152.47/153.33 % --res_forward_subs_resolution true
% 152.47/153.33 % --res_backward_subs_resolution true
% 152.47/153.33 % --res_orphan_elimination false
% 152.47/153.33 % --res_time_limit 1000.
% 152.47/153.33 % --res_out_proof true
% 152.47/153.33 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_66a415.s
% 152.47/153.33 % --modulo true
% 152.47/153.33
% 152.47/153.33 % ------ Combination Options
% 152.47/153.33
% 152.47/153.33 % --comb_res_mult 1000
% 152.47/153.33 % --comb_inst_mult 300
% 152.47/153.33 % ------
% 152.47/153.33
% 152.47/153.33 % ------ Parsing...% successful
% 152.47/153.33
% 152.47/153.33 % ------ 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 %
% 152.47/153.33
% 152.47/153.33 % ------ Proving...
% 152.47/153.33 % ------ Problem Properties
% 152.47/153.33
% 152.47/153.33 %
% 152.47/153.33 % EPR false
% 152.47/153.33 % Horn false
% 152.47/153.33 % Has equality true
% 152.47/153.33
% 152.47/153.33 % % ------ Input Options Time Limit: Unbounded
% 152.47/153.33
% 152.47/153.33
% 152.47/153.33 Compiling...
% 152.47/153.33 Loading plugin: done.
% 152.47/153.33 Compiling...
% 152.47/153.33 Loading plugin: done.
% 152.47/153.33 Compiling...
% 152.47/153.33 Loading plugin: done.
% 152.47/153.33 Compiling...
% 152.47/153.33 Loading plugin: done.
% 152.47/153.33 Compiling...
% 152.47/153.33 Loading plugin: done.
% 152.47/153.33 Compiling...
% 152.47/153.33 Loading plugin: done.
% 152.47/153.33 Compiling...
% 152.47/153.33 Loading plugin: done.
% 152.47/153.33 Compiling...
% 152.47/153.33 Loading plugin: done.
% 152.47/153.33 Compiling...
% 152.47/153.33 Loading plugin: done.
% 152.47/153.33 Compiling...
% 152.47/153.33 Loading plugin: done.
% 152.47/153.33 Compiling...
% 152.47/153.33 Loading plugin: done.
% 152.47/153.33 Compiling...
% 152.47/153.33 Loading plugin: done.
% 152.47/153.33 Compiling...
% 152.47/153.33 Loading plugin: done.
% 152.47/153.33 Compiling...
% 152.47/153.33 Loading plugin: done.
% 152.47/153.33 % % ------ Current options:
% 152.47/153.33
% 152.47/153.33 % ------ Input Options
% 152.47/153.33
% 152.47/153.33 % --out_options all
% 152.47/153.33 % --tptp_safe_out true
% 152.47/153.33 % --problem_path ""
% 152.47/153.33 % --include_path ""
% 152.47/153.33 % --clausifier .//eprover
% 152.47/153.33 % --clausifier_options --tstp-format
% 152.47/153.33 % --stdin false
% 152.47/153.33 % --dbg_backtrace false
% 152.47/153.33 % --dbg_dump_prop_clauses false
% 152.47/153.33 % --dbg_dump_prop_clauses_file -
% 152.47/153.33 % --dbg_out_stat false
% 152.47/153.33
% 152.47/153.33 % ------ General Options
% 152.47/153.33
% 152.47/153.33 % --fof false
% 152.47/153.33 % --time_out_real 150.
% 152.47/153.33 % --time_out_prep_mult 0.2
% 152.47/153.33 % --time_out_virtual -1.
% 152.47/153.33 % --schedule none
% 152.47/153.33 % --ground_splitting input
% 152.47/153.33 % --splitting_nvd 16
% 152.47/153.33 % --non_eq_to_eq false
% 152.47/153.33 % --prep_gs_sim true
% 152.47/153.33 % --prep_unflatten false
% 152.47/153.33 % --prep_res_sim true
% 152.47/153.33 % --prep_upred true
% 152.47/153.33 % --res_sim_input true
% 152.47/153.33 % --clause_weak_htbl true
% 152.47/153.33 % --gc_record_bc_elim false
% 152.47/153.33 % --symbol_type_check false
% 152.47/153.33 % --clausify_out false
% 152.47/153.33 % --large_theory_mode false
% 152.47/153.33 % --prep_sem_filter none
% 152.47/153.33 % --prep_sem_filter_out false
% 152.47/153.33 % --preprocessed_out false
% 152.47/153.33 % --sub_typing false
% 152.47/153.33 % --brand_transform false
% 152.47/153.33 % --pure_diseq_elim true
% 152.47/153.33 % --min_unsat_core false
% 152.47/153.33 % --pred_elim true
% 152.47/153.33 % --add_important_lit false
% 152.47/153.33 % --soft_assumptions false
% 152.47/153.33 % --reset_solvers false
% 152.47/153.33 % --bc_imp_inh []
% 152.47/153.33 % --conj_cone_tolerance 1.5
% 152.47/153.33 % --prolific_symb_bound 500
% 152.47/153.33 % --lt_threshold 2000
% 152.47/153.33
% 152.47/153.33 % ------ SAT Options
% 152.47/153.33
% 152.47/153.33 % --sat_mode false
% 152.47/153.33 % --sat_fm_restart_options ""
% 152.47/153.33 % --sat_gr_def false
% 152.47/153.33 % --sat_epr_types true
% 152.47/153.33 % --sat_non_cyclic_types false
% 152.47/153.33 % --sat_finite_models false
% 152.47/153.33 % --sat_fm_lemmas false
% 152.47/153.33 % --sat_fm_prep false
% 152.47/153.33 % --sat_fm_uc_incr true
% 152.47/153.33 % --sat_out_model small
% 152.47/153.33 % --sat_out_clauses false
% 152.47/153.33
% 152.47/153.33 % ------ QBF Options
% 152.47/153.33
% 152.47/153.33 % --qbf_mode false
% 152.47/153.33 % --qbf_elim_univ true
% 152.47/153.33 % --qbf_sk_in true
% 152.47/153.33 % --qbf_pred_elim true
% 152.47/153.33 % --qbf_split 32
% 152.47/153.33
% 152.47/153.33 % ------ BMC1 Options
% 152.47/153.33
% 152.47/153.33 % --bmc1_incremental false
% 152.47/153.33 % --bmc1_axioms reachable_all
% 152.47/153.33 % --bmc1_min_bound 0
% 152.47/153.33 % --bmc1_max_bound -1
% 152.47/153.33 % --bmc1_max_bound_default -1
% 152.47/153.33 % --bmc1_symbol_reachability true
% 152.47/153.33 % --bmc1_property_lemmas false
% 152.47/153.33 % --bmc1_k_induction false
% 152.47/153.33 % --bmc1_non_equiv_states false
% 152.47/153.33 % --bmc1_deadlock false
% 152.47/153.33 % --bmc1_ucm false
% 152.47/153.33 % --bmc1_add_unsat_core none
% 152.47/153.33 % --bmc1_unsat_core_children false
% 152.47/153.33 % --bmc1_unsat_core_extrapolate_axioms false
% 152.47/153.33 % --bmc1_out_stat full
% 152.47/153.33 % --bmc1_ground_init false
% 152.47/153.33 % --bmc1_pre_inst_next_state false
% 152.47/153.33 % --bmc1_pre_inst_state false
% 152.47/153.33 % --bmc1_pre_inst_reach_state false
% 152.47/153.33 % --bmc1_out_unsat_core false
% 152.47/153.33 % --bmc1_aig_witness_out false
% 152.47/153.33 % --bmc1_verbose false
% 152.47/153.33 % --bmc1_dump_clauses_tptp false
% 152.47/153.33 % --bmc1_dump_unsat_core_tptp false
% 152.47/153.33 % --bmc1_dump_file -
% 152.47/153.33 % --bmc1_ucm_expand_uc_limit 128
% 152.47/153.33 % --bmc1_ucm_n_expand_iterations 6
% 152.47/153.33 % --bmc1_ucm_extend_mode 1
% 152.47/153.33 % --bmc1_ucm_init_mode 2
% 152.47/153.33 % --bmc1_ucm_cone_mode none
% 152.47/153.33 % --bmc1_ucm_reduced_relation_type 0
% 152.47/153.33 % --bmc1_ucm_relax_model 4
% 152.47/153.33 % --bmc1_ucm_full_tr_after_sat true
% 152.47/153.33 % --bmc1_ucm_expand_neg_assumptions false
% 152.47/153.33 % --bmc1_ucm_layered_model none
% 152.47/153.33 % --bmc1_ucm_max_lemma_size 10
% 152.47/153.33
% 152.47/153.33 % ------ AIG Options
% 152.47/153.33
% 152.47/153.33 % --aig_mode false
% 152.47/153.33
% 152.47/153.33 % ------ Instantiation Options
% 152.47/153.33
% 152.47/153.33 % --instantiation_flag true
% 152.47/153.33 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 152.47/153.33 % --inst_solver_per_active 750
% 152.47/153.33 % --inst_solver_calls_frac 0.5
% 152.47/153.33 % --inst_passive_queue_type priority_queues
% 152.47/153.33 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 152.47/153.33 % --inst_passive_queues_freq [25;2]
% 152.47/153.33 % --inst_dismatching true
% 152.47/153.33 % --inst_eager_unprocessed_to_passive true
% 152.47/153.33 % --inst_prop_sim_given true
% 152.47/153.33 % --inst_prop_sim_new false
% 152.47/153.33 % --inst_orphan_elimination true
% 152.47/153.33 % --inst_learning_loop_flag true
% 152.47/153.33 % --inst_learning_start 3000
% 152.47/153.33 % --inst_learning_factor 2
% 152.47/153.33 % --inst_start_prop_sim_after_learn 3
% 152.47/153.33 % --inst_sel_renew solver
% 152.47/153.33 % --inst_lit_activity_flag true
% 152.47/153.33 % --inst_out_proof true
% 152.47/153.33
% 152.47/153.33 % ------ Resolution Options
% 152.47/153.33
% 152.47/153.33 % --resolution_flag true
% 152.47/153.33 % --res_lit_sel kbo_max
% 152.47/153.33 % --res_to_prop_solver none
% 152.47/153.33 % --res_prop_simpl_new false
% 152.47/153.33 % --res_prop_simpl_given false
% 152.47/153.33 % --res_passive_queue_type priority_queues
% 152.47/153.33 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 152.47/153.33 % --res_passive_queues_freq [15;5]
% 152.47/153.33 % --res_forward_subs full
% 152.47/153.33 % --res_backward_subs full
% 152.47/153.33 % --res_forward_subs_resolution true
% 152.47/153.33 % --res_backward_subs_resolution true
% 152.47/153.33 % --res_orphan_elimination false
% 152.47/153.33 % --res_time_limit 1000.
% 152.47/153.33 % --res_out_proof true
% 152.47/153.33 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_66a415.s
% 152.47/153.33 % --modulo true
% 152.47/153.33
% 152.47/153.33 % ------ Combination Options
% 152.47/153.33
% 152.47/153.33 % --comb_res_mult 1000
% 152.47/153.33 % --comb_inst_mult 300
% 152.47/153.33 % ------
% 152.47/153.33
% 152.47/153.33
% 152.47/153.33
% 152.47/153.33 % ------ Proving...
% 152.47/153.33 % warning: shown sat in sat incomplete mode
% 152.47/153.33 %
% 152.47/153.33
% 152.47/153.33
% 152.47/153.33
% 152.47/153.33
% 152.47/153.33 cnf(c_1378,negated_conjecture,
% 152.47/153.33 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_4) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1799,negated_conjecture,
% 152.47/153.33 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1378]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1803,negated_conjecture,
% 152.47/153.33 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1799]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1804,negated_conjecture,
% 152.47/153.33 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1803]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1805,negated_conjecture,
% 152.47/153.33 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1804]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5819,negated_conjecture,
% 152.47/153.33 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1805]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5820,plain,
% 152.47/153.33 ( ~ hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_List_Omap(c_COMBC(c_Lambda_Olift,c_HOL_Ozero__class_Ozero(tc_nat),tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_n____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5819]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1373,plain,
% 152.47/153.33 ( 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)
% 152.47/153.33 | ~ c_Type_Otyping(X0,X1,X5)
% 152.47/153.33 | ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2611_2) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5809,plain,
% 152.47/153.33 ( 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)
% 152.47/153.33 | ~ c_Type_Otyping(X0,X1,X5)
% 152.47/153.33 | ~ c_Type_Otypings(c_Type_Oshift(X0,X2,X5,tc_Type_Otype),X3,X4) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1373]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5810,plain,
% 152.47/153.33 ( ~ c_Type_Otyping(X0,X1,X2)
% 152.47/153.33 | ~ c_Type_Otypings(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
% 152.47/153.33 | 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) ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5809]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1369,plain,
% 152.47/153.33 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__types__1__1(X2,X3,X0,X1))
% 152.47/153.33 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2)
% 152.47/153.33 | ~ c_Type_Otypings(X0,X5,X6)
% 152.47/153.33 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2612_3) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5801,plain,
% 152.47/153.33 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__types__1__1(X2,X3,X0,X1))
% 152.47/153.33 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2)
% 152.47/153.33 | ~ c_Type_Otypings(X0,X5,X6)
% 152.47/153.33 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X4),X5,tc_Lambda_OdB,tc_Lambda_OdB),X3) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1369]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5802,plain,
% 152.47/153.33 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.47/153.33 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4,tc_Lambda_OdB,tc_Lambda_OdB),X5)
% 152.47/153.33 | c_Type_Otypings(X0,X4,c_Type_Osko__Type__Xvar__app__types__1__1(X5,X3,X0,X4))
% 152.47/153.33 | ~ c_Type_Otypings(X0,X2,X6) ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5801]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1364,plain,
% 152.47/153.33 ( hBOOL(hAPP(X0,X1))
% 152.47/153.33 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(X0)),c_ListApplication_Osko__ListApplication__Xlem__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__Xlem__1__3(X0)),c_ListApplication_Osko__ListApplication__Xlem__1__4(X0),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2614_2) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5791,plain,
% 152.47/153.33 ( hBOOL(hAPP(X0,X1))
% 152.47/153.33 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(X0)),c_ListApplication_Osko__ListApplication__Xlem__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__Xlem__1__3(X0)),c_ListApplication_Osko__ListApplication__Xlem__1__4(X0),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1364]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5792,plain,
% 152.47/153.33 ( ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(X0)),c_ListApplication_Osko__ListApplication__Xlem__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__Xlem__1__3(X0)),c_ListApplication_Osko__ListApplication__Xlem__1__4(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | hBOOL(hAPP(X0,X1)) ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5791]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1361,plain,
% 152.47/153.33 ( hBOOL(hAPP(X0,X1))
% 152.47/153.33 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(X0)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(X0)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4(X0),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2615_2) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5785,plain,
% 152.47/153.33 ( hBOOL(hAPP(X0,X1))
% 152.47/153.33 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(X0)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(X0)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4(X0),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1361]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5786,plain,
% 152.47/153.33 ( ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(X0)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(X0)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__4(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | hBOOL(hAPP(X0,X1)) ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5785]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1352,plain,
% 152.47/153.33 ( 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)))
% 152.47/153.33 | ~ 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)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2619_2) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5767,plain,
% 152.47/153.33 ( 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)))
% 152.47/153.33 | ~ 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)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1352]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5768,plain,
% 152.47/153.33 ( ~ 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)))
% 152.47/153.33 | 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)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1)) ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5767]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1333,plain,
% 152.47/153.33 ( X0 = X1
% 152.47/153.33 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 152.47/153.33 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2629_2) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5729,plain,
% 152.47/153.33 ( X0 = X1
% 152.47/153.33 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 152.47/153.33 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1333]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5730,plain,
% 152.47/153.33 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.47/153.33 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 152.47/153.33 | X3 = X4 ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5729]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1321,plain,
% 152.47/153.33 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2635_3) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5705,plain,
% 152.47/153.33 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1321]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5706,plain,
% 152.47/153.33 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.47/153.33 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0 ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5705]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1317,plain,
% 152.47/153.33 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2636_3) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5697,plain,
% 152.47/153.33 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1317]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5698,plain,
% 152.47/153.33 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.47/153.33 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.47/153.33 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0 ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5697]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1313,plain,
% 152.47/153.33 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2638_3) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5689,plain,
% 152.47/153.33 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1313]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5690,plain,
% 152.47/153.33 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.47/153.33 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB) ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5689]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1309,plain,
% 152.47/153.33 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.47/153.33 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2639_3) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5681,plain,
% 152.47/153.33 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.47/153.33 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1309]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5682,plain,
% 152.47/153.33 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(hAPP(c_Lambda_Osubst,v_sko__InductTermi__XIT__Xcases__4(X0)),v_sko__InductTermi__XIT__Xcases__5(X0)),c_HOL_Ozero__class_Ozero(tc_nat)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.47/153.33 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.47/153.33 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0 ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5681]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1264,plain,
% 152.47/153.33 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.47/153.33 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2664_3) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5591,plain,
% 152.47/153.33 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.47/153.33 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1264]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5592,plain,
% 152.47/153.33 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.47/153.33 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0 ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5591]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1260,plain,
% 152.47/153.33 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.47/153.33 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2665_3) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5583,plain,
% 152.47/153.33 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.47/153.33 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1260]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5584,plain,
% 152.47/153.33 ( ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.47/153.33 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.47/153.33 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0 ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5583]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1241,plain,
% 152.47/153.33 ( c_ListOrder_Ostep1(X0,X1,X2,X3)
% 152.47/153.33 | hBOOL(hAPP(hAPP(X0,X4),X5))
% 152.47/153.33 | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2680_2) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5545,plain,
% 152.47/153.33 ( c_ListOrder_Ostep1(X0,X1,X2,X3)
% 152.47/153.33 | hBOOL(hAPP(hAPP(X0,X4),X5))
% 152.47/153.33 | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1241]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5546,plain,
% 152.47/153.33 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.47/153.33 | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4),X4)
% 152.47/153.33 | c_ListOrder_Ostep1(X0,X3,X5,X4) ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5545]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1235,plain,
% 152.47/153.33 ( X0 = X1
% 152.47/153.33 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 152.47/153.33 | ~ c_ListOrder_Ostep1(X2,c_List_Oappend(X3,c_List_Olist_OCons(X0,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4),X4) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2682_2) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5533,plain,
% 152.47/153.33 ( X0 = X1
% 152.47/153.33 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 152.47/153.33 | ~ c_ListOrder_Ostep1(X2,c_List_Oappend(X3,c_List_Olist_OCons(X0,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4),X4) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1235]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5534,plain,
% 152.47/153.33 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.47/153.33 | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X4),X4),X4),c_List_Oappend(X5,c_List_Olist_OCons(X2,c_List_Olist_ONil(X4),X4),X4),X4)
% 152.47/153.33 | X1 = X2 ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5533]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1231,plain,
% 152.47/153.33 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.47/153.33 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2684_3) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5525,plain,
% 152.47/153.33 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.47/153.33 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1231]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5526,plain,
% 152.47/153.33 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.47/153.33 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.47/153.33 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0 ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5525]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1214,plain,
% 152.47/153.33 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2692_3) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5491,plain,
% 152.47/153.33 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1214]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5492,plain,
% 152.47/153.33 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.47/153.33 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0 ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5491]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1210,plain,
% 152.47/153.33 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2693_3) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5483,plain,
% 152.47/153.33 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.47/153.33 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.47/153.33 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1210]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5484,plain,
% 152.47/153.33 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.47/153.33 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.47/153.33 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.47/153.33 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_sko__InductTermi__XIT__Xcases__2(X0)),v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0 ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5483]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1201,plain,
% 152.47/153.33 ( c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4)
% 152.47/153.33 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 152.47/153.33 | ~ c_Type_Otyping(X0,X2,X5) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2707_2) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5465,plain,
% 152.47/153.33 ( c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3),X4)
% 152.47/153.33 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 152.47/153.33 | ~ c_Type_Otyping(X0,X2,X5) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1201]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5466,plain,
% 152.47/153.33 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 152.47/153.33 | c_Type_Otyping(X0,hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X5),X1),X4)
% 152.47/153.33 | ~ c_Type_Otyping(X0,X5,X2) ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5465]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1199,plain,
% 152.47/153.33 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X1))
% 152.47/153.33 | 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)))
% 152.47/153.33 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X2),X3)) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2708_1) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5461,plain,
% 152.47/153.33 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X1))
% 152.47/153.33 | 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)))
% 152.47/153.33 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X2),X3)) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1199]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5462,plain,
% 152.47/153.33 ( 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)))
% 152.47/153.33 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3))
% 152.47/153.33 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5461]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1195,plain,
% 152.47/153.33 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.47/153.33 | c_ListOrder_Ostep1(X0,X3,X4,X5)
% 152.47/153.33 | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X5),c_List_Olist_OCons(X2,X4,X5),X5) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2709_2) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5453,plain,
% 152.47/153.33 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.47/153.33 | c_ListOrder_Ostep1(X0,X3,X4,X5)
% 152.47/153.33 | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X5),c_List_Olist_OCons(X2,X4,X5),X5) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1195]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5454,plain,
% 152.47/153.33 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.47/153.33 | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4)
% 152.47/153.33 | c_ListOrder_Ostep1(X0,X3,X5,X4) ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5453]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1171,plain,
% 152.47/153.33 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.47/153.33 | X2 = X1
% 152.47/153.33 | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2728_2) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5405,plain,
% 152.47/153.33 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.47/153.33 | X2 = X1
% 152.47/153.33 | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1171]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5406,plain,
% 152.47/153.33 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.47/153.33 | ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X5,X4),X4)
% 152.47/153.33 | X2 = X1 ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5405]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1146,plain,
% 152.47/153.33 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.47/153.33 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X3),X4),X1))
% 152.47/153.33 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X3),X4),X2)) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2741_0) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5355,plain,
% 152.47/153.33 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.47/153.33 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X3),X4),X1))
% 152.47/153.33 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X3),X4),X2)) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1146]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5356,plain,
% 152.47/153.33 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.47/153.33 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 152.47/153.33 | ~ hBOOL(hAPP(hAPP(X0,X3),X4)) ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5355]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1141,plain,
% 152.47/153.33 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.47/153.33 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 152.47/153.33 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2742_2) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5345,plain,
% 152.47/153.33 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.47/153.33 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 152.47/153.33 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1141]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5346,plain,
% 152.47/153.33 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.47/153.33 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 152.47/153.33 | ~ hBOOL(hAPP(hAPP(X0,X2),X4)) ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5345]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1129,plain,
% 152.47/153.33 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.47/153.33 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 152.47/153.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.47/153.33 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2748_3) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5321,plain,
% 152.47/153.33 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.47/153.33 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 152.47/153.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.47/153.33 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1129]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5322,plain,
% 152.47/153.33 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.47/153.33 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 152.47/153.33 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.47/153.33 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5321]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1121,plain,
% 152.47/153.33 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 152.47/153.33 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.47/153.33 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2750_3) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5305,plain,
% 152.47/153.33 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 152.47/153.33 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X3,X0,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.47/153.33 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1121]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5306,plain,
% 152.47/153.33 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.47/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.47/153.33 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 152.47/153.33 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5305]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1116,plain,
% 152.47/153.33 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.47/153.33 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 152.47/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.47/153.33 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 152.47/153.33 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.47/153.33 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2751_4) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5295,plain,
% 152.47/153.33 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.47/153.33 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 152.47/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.47/153.33 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 152.47/153.33 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.47/153.33 inference(copy,[status(esa)],[c_1116]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_5296,plain,
% 152.47/153.33 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.47/153.33 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.47/153.33 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 152.47/153.33 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 152.47/153.33 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 152.47/153.33 inference(rewriting,[status(thm)],[c_5295]) ).
% 152.47/153.33
% 152.47/153.33 cnf(c_1100,plain,
% 152.47/153.33 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.47/153.33 | ~ c_lessequals(X1,X2,X0)
% 152.47/153.33 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 152.47/153.34 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2759_0) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5263,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.47/153.34 | ~ c_lessequals(X1,X2,X0)
% 152.47/153.34 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 152.47/153.34 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_1100]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5264,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.47/153.34 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 152.47/153.34 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4),X0)
% 152.47/153.34 | ~ c_lessequals(X3,X4,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_5263]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_1080,plain,
% 152.47/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.47/153.34 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 152.47/153.34 | X1 = X3
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2768_1) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5223,plain,
% 152.47/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.47/153.34 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 152.47/153.34 | X1 = X3
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_1080]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5224,plain,
% 152.47/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 152.47/153.34 | c_Power_Opower__class_Opower(X3,X1,X0) != c_Power_Opower__class_Opower(X2,X1,X0)
% 152.47/153.34 | X3 = X2 ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_5223]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_1076,plain,
% 152.47/153.34 ( X0 = X1
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 152.47/153.34 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 152.47/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2768_5) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5215,plain,
% 152.47/153.34 ( X0 = X1
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 152.47/153.34 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 152.47/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_1076]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5216,plain,
% 152.47/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 152.47/153.34 | c_Power_Opower__class_Opower(X2,X1,X0) != c_Power_Opower__class_Opower(X3,X1,X0)
% 152.47/153.34 | X2 = X3 ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_5215]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_1058,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.47/153.34 | 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)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2774_1) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5179,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.47/153.34 | 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)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_1058]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5180,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.47/153.34 | 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)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_5179]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_1054,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 152.47/153.34 | ~ c_lessequals(X1,X2,X0)
% 152.47/153.34 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 152.47/153.34 | ~ c_lessequals(X3,X4,X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2775_1) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5171,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 152.47/153.34 | ~ c_lessequals(X1,X2,X0)
% 152.47/153.34 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 152.47/153.34 | ~ c_lessequals(X3,X4,X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_1054]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5172,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 152.47/153.34 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.47/153.34 | ~ c_lessequals(X2,X4,X0)
% 152.47/153.34 | ~ c_lessequals(X1,X3,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_5171]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_1048,plain,
% 152.47/153.34 ( 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)
% 152.47/153.34 | ~ c_lessequals(X1,X3,X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.47/153.34 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2776_3) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5159,plain,
% 152.47/153.34 ( 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)
% 152.47/153.34 | ~ c_lessequals(X1,X3,X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.47/153.34 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_1048]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5160,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.47/153.34 | 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)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.47/153.34 | ~ c_lessequals(X1,X3,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_5159]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_1042,plain,
% 152.47/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.34 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2779_1) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5147,plain,
% 152.47/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.34 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_1042]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5148,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_5147]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_1027,plain,
% 152.47/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.34 | 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)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2787_1) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5117,plain,
% 152.47/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.34 | 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)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_1027]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5118,plain,
% 152.47/153.34 ( 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)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_5117]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_1018,plain,
% 152.47/153.34 ( ~ c_Type_Otyping(X0,X1,X2)
% 152.47/153.34 | c_Type_Otyping(X0,X3,X2)
% 152.47/153.34 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2793_1) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5099,plain,
% 152.47/153.34 ( ~ c_Type_Otyping(X0,X1,X2)
% 152.47/153.34 | c_Type_Otyping(X0,X3,X2)
% 152.47/153.34 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_1018]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5100,plain,
% 152.47/153.34 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X1))
% 152.47/153.34 | ~ c_Type_Otyping(X2,X0,X3)
% 152.47/153.34 | c_Type_Otyping(X2,X1,X3) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_5099]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_1017,plain,
% 152.47/153.34 ( c_Type_Otyping(X0,X1,X2)
% 152.47/153.34 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X3),X1))
% 152.47/153.34 | ~ c_Type_Otyping(X0,X3,X2) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2793_2) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5097,plain,
% 152.47/153.34 ( c_Type_Otyping(X0,X1,X2)
% 152.47/153.34 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X3),X1))
% 152.47/153.34 | ~ c_Type_Otyping(X0,X3,X2) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_1017]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5098,plain,
% 152.47/153.34 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X1))
% 152.47/153.34 | c_Type_Otyping(X2,X1,X3)
% 152.47/153.34 | ~ c_Type_Otyping(X2,X0,X3) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_5097]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_1015,plain,
% 152.47/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.47/153.34 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 152.47/153.34 | X1 = X3
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2794_1) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5093,plain,
% 152.47/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.47/153.34 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 152.47/153.34 | X1 = X3
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_1015]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5094,plain,
% 152.47/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.47/153.34 | c_Power_Opower__class_Opower(X2,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)
% 152.47/153.34 | X2 = X1 ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_5093]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_1012,plain,
% 152.47/153.34 ( X0 = X1
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.47/153.34 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 152.47/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2794_4) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5087,plain,
% 152.47/153.34 ( X0 = X1
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.47/153.34 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 152.47/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_1012]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5088,plain,
% 152.47/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.47/153.34 | c_Power_Opower__class_Opower(X1,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X2,c_Suc(X3),X0)
% 152.47/153.34 | X1 = X2 ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_5087]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_1001,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 152.47/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2799_3) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5065,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,c_Suc(X1),X2),c_HOL_Oone__class_Oone(X2),X2)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(X2),X2)
% 152.47/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_1001]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5066,plain,
% 152.47/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),c_HOL_Oone__class_Oone(X0),X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_5065]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_999,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2805_1) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5061,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_999]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5062,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_5061]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_995,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2806_1) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5053,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_995]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5054,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_5053]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_985,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.47/153.34 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2808_3) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5033,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.47/153.34 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_985]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5034,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_5033]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_981,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2809_3) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5025,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_981]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5026,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_5025]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_975,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2811_1) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5013,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_975]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5014,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.47/153.34 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_5013]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_971,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.47/153.34 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2812_1) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5005,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.47/153.34 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_971]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_5006,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_5005]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_960,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 152.47/153.34 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.47/153.34 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2814_4) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4983,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 152.47/153.34 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.47/153.34 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_960]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4984,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.47/153.34 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4983]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_955,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.47/153.34 | ~ c_lessequals(X0,X3,X1)
% 152.47/153.34 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.47/153.34 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2815_4) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4973,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.47/153.34 | ~ c_lessequals(X0,X3,X1)
% 152.47/153.34 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.47/153.34 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_955]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4974,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.47/153.34 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.47/153.34 | ~ c_lessequals(X2,X3,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4973]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_950,plain,
% 152.47/153.34 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 152.47/153.34 | ~ c_lessequals(X0,X2,X1)
% 152.47/153.34 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.47/153.34 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2816_4) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4963,plain,
% 152.47/153.34 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 152.47/153.34 | ~ c_lessequals(X0,X2,X1)
% 152.47/153.34 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.47/153.34 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_950]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4964,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.47/153.34 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.47/153.34 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0)
% 152.47/153.34 | ~ c_lessequals(X2,X3,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4963]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_945,plain,
% 152.47/153.34 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.47/153.34 | ~ c_lessequals(X0,X3,X1)
% 152.47/153.34 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.47/153.34 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2817_4) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4953,plain,
% 152.47/153.34 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.47/153.34 | ~ c_lessequals(X0,X3,X1)
% 152.47/153.34 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 152.47/153.34 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_945]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4954,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.47/153.34 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.47/153.34 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.47/153.34 | ~ c_lessequals(X2,X3,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4953]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_913,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2827_3) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4889,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_913]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4890,plain,
% 152.47/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4889]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_902,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2831_2) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4867,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_902]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4868,plain,
% 152.47/153.34 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.47/153.34 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X1,tc_nat) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4867]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_900,plain,
% 152.47/153.34 ( ~ c_List_Olistsp(X0,X1,X2)
% 152.47/153.34 | c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2)
% 152.47/153.34 | ~ c_List_Olistsp(X0,X3,X2) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2832_1) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4863,plain,
% 152.47/153.34 ( ~ c_List_Olistsp(X0,X1,X2)
% 152.47/153.34 | c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2)
% 152.47/153.34 | ~ c_List_Olistsp(X0,X3,X2) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_900]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4864,plain,
% 152.47/153.34 ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 152.47/153.34 | ~ c_List_Olistsp(X0,X2,X3)
% 152.47/153.34 | ~ c_List_Olistsp(X0,X1,X3) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4863]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_877,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.47/153.34 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2851_0) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4817,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.47/153.34 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_877]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4818,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.47/153.34 | c_HOL_Ominus__class_Ominus(X3,X4,X0) != c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4817]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_873,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.47/153.34 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2852_0) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4809,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.47/153.34 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_873]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4810,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.47/153.34 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4809]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_869,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.47/153.34 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.47/153.34 | ~ c_lessequals(X4,X3,X0)
% 152.47/153.34 | c_lessequals(X2,X1,X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2853_0) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4801,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.47/153.34 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.47/153.34 | ~ c_lessequals(X4,X3,X0)
% 152.47/153.34 | c_lessequals(X2,X1,X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_869]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4802,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.47/153.34 | ~ c_lessequals(X1,X2,X0)
% 152.47/153.34 | c_lessequals(X3,X4,X0)
% 152.47/153.34 | c_HOL_Ominus__class_Ominus(X4,X3,X0) != c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4801]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_865,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.47/153.34 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.47/153.34 | ~ c_lessequals(X2,X1,X0)
% 152.47/153.34 | c_lessequals(X4,X3,X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2854_0) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4793,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.47/153.34 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 152.47/153.34 | ~ c_lessequals(X2,X1,X0)
% 152.47/153.34 | c_lessequals(X4,X3,X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_865]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4794,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.47/153.34 | ~ c_lessequals(X1,X2,X0)
% 152.47/153.34 | c_lessequals(X3,X4,X0)
% 152.47/153.34 | c_HOL_Ominus__class_Ominus(X2,X1,X0) != c_HOL_Ominus__class_Ominus(X4,X3,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4793]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_834,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.47/153.34 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2872_1) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4731,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.47/153.34 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_834]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4732,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.47/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 152.47/153.34 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4731]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_831,plain,
% 152.47/153.34 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.47/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 152.47/153.34 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2872_4) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4725,plain,
% 152.47/153.34 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.47/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 152.47/153.34 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_831]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4726,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.47/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 152.47/153.34 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4725]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_829,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.47/153.34 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2873_1) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4721,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.47/153.34 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_829]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4722,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.47/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 152.47/153.34 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4721]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_826,plain,
% 152.47/153.34 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 152.47/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 152.47/153.34 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2873_4) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4715,plain,
% 152.47/153.34 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 152.47/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 152.47/153.34 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_826]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4716,plain,
% 152.47/153.34 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.47/153.34 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.47/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 152.47/153.34 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4715]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_818,plain,
% 152.47/153.34 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2878_0) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4699,plain,
% 152.47/153.34 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_818]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4700,plain,
% 152.47/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 152.47/153.34 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4699]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_810,plain,
% 152.47/153.34 ( X0 = X1
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 152.47/153.34 | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 152.47/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2880_3) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4683,plain,
% 152.47/153.34 ( X0 = X1
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 152.47/153.34 | c_Power_Opower__class_Opower(X3,X0,X2) != c_Power_Opower__class_Opower(X3,X1,X2)
% 152.47/153.34 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_810]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4684,plain,
% 152.47/153.34 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.47/153.34 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 152.47/153.34 | X2 = X3 ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4683]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_748,plain,
% 152.47/153.34 ( ~ class_Orderings_Opreorder(X0)
% 152.47/153.34 | ~ c_lessequals(X1,X2,X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2913_0) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4559,plain,
% 152.47/153.34 ( ~ class_Orderings_Opreorder(X0)
% 152.47/153.34 | ~ c_lessequals(X1,X2,X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_748]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4560,plain,
% 152.47/153.34 ( ~ class_Orderings_Opreorder(X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.47/153.34 | ~ c_lessequals(X2,X3,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4559]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_741,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.47/153.34 | ~ c_lessequals(X0,X3,X2)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.47/153.34 | ~ class_Orderings_Opreorder(X2) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2914_3) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4545,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.47/153.34 | ~ c_lessequals(X0,X3,X2)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.47/153.34 | ~ class_Orderings_Opreorder(X2) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_741]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4546,plain,
% 152.47/153.34 ( ~ class_Orderings_Opreorder(X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.47/153.34 | ~ c_lessequals(X1,X3,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4545]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_733,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.47/153.34 | ~ c_lessequals(X3,X1,X2)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.47/153.34 | ~ class_Orderings_Oorder(X2) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2916_3) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4529,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.47/153.34 | ~ c_lessequals(X3,X1,X2)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.47/153.34 | ~ class_Orderings_Oorder(X2) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_733]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4530,plain,
% 152.47/153.34 ( ~ class_Orderings_Oorder(X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.47/153.34 | ~ c_lessequals(X3,X2,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4529]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_732,plain,
% 152.47/153.34 ( ~ class_Orderings_Oorder(X0)
% 152.47/153.34 | ~ c_lessequals(X1,X2,X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2917_0) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4527,plain,
% 152.47/153.34 ( ~ class_Orderings_Oorder(X0)
% 152.47/153.34 | ~ c_lessequals(X1,X2,X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_732]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4528,plain,
% 152.47/153.34 ( ~ class_Orderings_Oorder(X0)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.47/153.34 | ~ c_lessequals(X3,X1,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4527]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_706,plain,
% 152.47/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.34 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2927_1) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4475,plain,
% 152.47/153.34 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.34 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_706]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4476,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4475]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_687,plain,
% 152.47/153.34 ( ~ class_Orderings_Opreorder(X0)
% 152.47/153.34 | ~ c_lessequals(X1,X2,X0)
% 152.47/153.34 | c_lessequals(X2,X1,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2942_1) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4437,plain,
% 152.47/153.34 ( ~ class_Orderings_Opreorder(X0)
% 152.47/153.34 | ~ c_lessequals(X1,X2,X0)
% 152.47/153.34 | c_lessequals(X2,X1,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_687]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4438,plain,
% 152.47/153.34 ( ~ class_Orderings_Opreorder(X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.47/153.34 | ~ c_lessequals(X1,X2,X0)
% 152.47/153.34 | c_lessequals(X2,X1,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4437]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_685,plain,
% 152.47/153.34 ( c_lessequals(X0,X1,X2)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.47/153.34 | ~ c_lessequals(X1,X0,X2)
% 152.47/153.34 | ~ class_Orderings_Opreorder(X2) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2942_3) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4433,plain,
% 152.47/153.34 ( c_lessequals(X0,X1,X2)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.47/153.34 | ~ c_lessequals(X1,X0,X2)
% 152.47/153.34 | ~ class_Orderings_Opreorder(X2) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_685]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4434,plain,
% 152.47/153.34 ( ~ class_Orderings_Opreorder(X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.47/153.34 | c_lessequals(X2,X1,X0)
% 152.47/153.34 | ~ c_lessequals(X1,X2,X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4433]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_671,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.34 | X0 = X1
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.47/153.34 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2949_3) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4405,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.34 | X0 = X1
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.47/153.34 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_671]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4406,plain,
% 152.47/153.34 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.47/153.34 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 152.47/153.34 | X2 = X1 ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4405]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_642,plain,
% 152.47/153.34 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.47/153.34 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.47/153.34 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.47/153.34 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2959_3) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4347,plain,
% 152.47/153.34 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.47/153.34 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.47/153.34 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.47/153.34 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_642]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4348,plain,
% 152.47/153.34 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.47/153.34 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__3(X0)))
% 152.47/153.34 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.47/153.34 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4347]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_609,plain,
% 152.47/153.34 ( X0 = X1
% 152.47/153.34 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.47/153.34 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2971_2) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4281,plain,
% 152.47/153.34 ( X0 = X1
% 152.47/153.34 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.47/153.34 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_609]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4282,plain,
% 152.47/153.34 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.47/153.34 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.47/153.34 | X0 = X1 ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4281]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_585,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.34 | X1 = X0
% 152.47/153.34 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2981_2) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4233,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.34 | X1 = X0
% 152.47/153.34 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_585]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4234,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.34 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1)
% 152.47/153.34 | X1 = X0 ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4233]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_575,plain,
% 152.47/153.34 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.47/153.34 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.47/153.34 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.47/153.34 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2989_3) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4213,plain,
% 152.47/153.34 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.47/153.34 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.47/153.34 | hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.47/153.34 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_575]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4214,plain,
% 152.47/153.34 ( hBOOL(hAPP(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__5(X0)))
% 152.47/153.34 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.47/153.34 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.47/153.34 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0 ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4213]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_567,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.47/153.34 | X0 = X1
% 152.47/153.34 | ~ c_lessequals(X0,X1,X2)
% 152.47/153.34 | ~ class_Orderings_Olinorder(X2) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2991_3) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4197,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.47/153.34 | X0 = X1
% 152.47/153.34 | ~ c_lessequals(X0,X1,X2)
% 152.47/153.34 | ~ class_Orderings_Olinorder(X2) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_567]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4198,plain,
% 152.47/153.34 ( ~ class_Orderings_Olinorder(X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.47/153.34 | ~ c_lessequals(X1,X2,X0)
% 152.47/153.34 | X1 = X2 ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4197]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_551,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.47/153.34 | X0 = X1
% 152.47/153.34 | ~ c_lessequals(X0,X1,X2)
% 152.47/153.34 | ~ class_Orderings_Oorder(X2) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2995_3) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4165,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.47/153.34 | X0 = X1
% 152.47/153.34 | ~ c_lessequals(X0,X1,X2)
% 152.47/153.34 | ~ class_Orderings_Oorder(X2) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_551]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4166,plain,
% 152.47/153.34 ( ~ class_Orderings_Oorder(X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.47/153.34 | ~ c_lessequals(X1,X2,X0)
% 152.47/153.34 | X1 = X2 ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4165]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_543,plain,
% 152.47/153.34 ( X0 = X1
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.47/153.34 | ~ c_lessequals(X1,X0,X2)
% 152.47/153.34 | ~ class_Orderings_Oorder(X2) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2997_3) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4149,plain,
% 152.47/153.34 ( X0 = X1
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.47/153.34 | ~ c_lessequals(X1,X0,X2)
% 152.47/153.34 | ~ class_Orderings_Oorder(X2) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_543]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4150,plain,
% 152.47/153.34 ( ~ class_Orderings_Oorder(X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.47/153.34 | ~ c_lessequals(X1,X2,X0)
% 152.47/153.34 | X2 = X1 ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4149]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_527,plain,
% 152.47/153.34 ( c_Suc(X0) = X1
% 152.47/153.34 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3003_2) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4117,plain,
% 152.47/153.34 ( c_Suc(X0) = X1
% 152.47/153.34 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_527]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4118,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.47/153.34 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.34 | c_Suc(X0) = X1 ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4117]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_495,plain,
% 152.47/153.34 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.47/153.34 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.47/153.34 | ~ class_Power_Opower(X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3021_5) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4053,plain,
% 152.47/153.34 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.47/153.34 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.47/153.34 | ~ class_Power_Opower(X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_495]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4054,plain,
% 152.47/153.34 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 152.47/153.34 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 152.47/153.34 | ~ class_Ring__and__Field_Omult__zero(X0)
% 152.47/153.34 | ~ class_Power_Opower(X0)
% 152.47/153.34 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.47/153.34 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4053]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_490,plain,
% 152.47/153.34 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.47/153.34 | ~ class_Power_Opower(X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3022_4) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4043,plain,
% 152.47/153.34 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.47/153.34 | ~ class_Power_Opower(X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_490]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4044,plain,
% 152.47/153.34 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 152.47/153.34 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 152.47/153.34 | ~ class_Ring__and__Field_Omult__zero(X0)
% 152.47/153.34 | ~ class_Power_Opower(X0)
% 152.47/153.34 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4043]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_487,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.34 | X1 = X0
% 152.47/153.34 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3024_2) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4037,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.34 | X1 = X0
% 152.47/153.34 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_487]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_4038,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.34 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 152.47/153.34 | X1 = X0 ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_4037]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_467,plain,
% 152.47/153.34 ( X0 = X1
% 152.47/153.34 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.47/153.34 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3029_3) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_3997,plain,
% 152.47/153.34 ( X0 = X1
% 152.47/153.34 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.47/153.34 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_467]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_3998,plain,
% 152.47/153.34 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.47/153.34 | X1 = X2 ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_3997]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_424,plain,
% 152.47/153.34 ( X0 = X1
% 152.47/153.34 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3050_2) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_3911,plain,
% 152.47/153.34 ( X0 = X1
% 152.47/153.34 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_424]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_3912,plain,
% 152.47/153.34 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.47/153.34 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.47/153.34 | X0 = X1 ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_3911]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_379,plain,
% 152.47/153.34 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.47/153.34 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.47/153.34 | ~ class_Power_Opower(X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.47/153.34 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3065_5) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_3821,plain,
% 152.47/153.34 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.47/153.34 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.47/153.34 | ~ class_Power_Opower(X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Omult__zero(X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 152.47/153.34 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 152.47/153.34 inference(copy,[status(esa)],[c_379]) ).
% 152.47/153.34
% 152.47/153.34 cnf(c_3822,plain,
% 152.47/153.34 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 152.47/153.34 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 152.47/153.34 | ~ class_Ring__and__Field_Omult__zero(X0)
% 152.47/153.34 | ~ class_Power_Opower(X0)
% 152.47/153.34 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.47/153.34 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.47/153.34 inference(rewriting,[status(thm)],[c_3821]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_202,plain,
% 152.47/153.35 ( 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),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2608_0) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_3467,plain,
% 152.47/153.35 ( 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),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_i____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
% 152.47/153.35 inference(copy,[status(esa)],[c_202]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_3468,plain,
% 152.47/153.35 ( 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),c_List_Omap(c_COMBC(c_COMBC(c_Lambda_Osubst,v_u____,tc_Lambda_OdB,tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),v_n____,tc_Lambda_OdB,tc_nat,tc_Lambda_OdB),v_as____,tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB,tc_Lambda_OdB),tc_Lambda_OdB) ),
% 152.47/153.35 inference(rewriting,[status(thm)],[c_3467]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_1376,plain,
% 152.47/153.35 ( 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
% 152.47/153.35 | ~ 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)) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2610_1) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5815,plain,
% 152.47/153.35 ( 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
% 152.47/153.35 | ~ 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)) ),
% 152.47/153.35 inference(copy,[status(esa)],[c_1376]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5816,plain,
% 152.47/153.35 ( ~ 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))
% 152.47/153.35 | 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 ),
% 152.47/153.35 inference(rewriting,[status(thm)],[c_5815]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_1367,plain,
% 152.47/153.35 ( c_ListOrder_Ostep1(c_Lambda_Obeta,X0,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X0,X2),tc_Lambda_OdB)
% 152.47/153.35 | ~ 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)) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2613_1) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5797,plain,
% 152.47/153.35 ( c_ListOrder_Ostep1(c_Lambda_Obeta,X0,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X1,X0,X2),tc_Lambda_OdB)
% 152.47/153.35 | ~ 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)) ),
% 152.47/153.35 inference(copy,[status(esa)],[c_1367]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5798,plain,
% 152.47/153.35 ( ~ 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))
% 152.47/153.35 | c_ListOrder_Ostep1(c_Lambda_Obeta,X1,c_ListBeta_Osko__ListBeta__Xhead__Var__reduction__1__1(X0,X1,X2),tc_Lambda_OdB) ),
% 152.47/153.35 inference(rewriting,[status(thm)],[c_5797]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_1359,plain,
% 152.47/153.35 ( 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)))
% 152.47/153.35 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,X1,X2,tc_Lambda_OdB) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2616_1) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5781,plain,
% 152.47/153.35 ( 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)))
% 152.47/153.35 | ~ c_ListOrder_Ostep1(c_Lambda_Obeta,X1,X2,tc_Lambda_OdB) ),
% 152.47/153.35 inference(copy,[status(esa)],[c_1359]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_1357,plain,
% 152.47/153.35 ( 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)))
% 152.47/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2617_1) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5777,plain,
% 152.47/153.35 ( 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)))
% 152.47/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.47/153.35 inference(copy,[status(esa)],[c_1357]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_1355,plain,
% 152.47/153.35 ( 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)))
% 152.47/153.35 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2618_1) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5773,plain,
% 152.47/153.35 ( 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)))
% 152.47/153.35 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.47/153.35 inference(copy,[status(esa)],[c_1355]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_1348,plain,
% 152.47/153.35 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 152.47/153.35 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2623_1) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5759,plain,
% 152.47/153.35 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 152.47/153.35 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 152.47/153.35 inference(copy,[status(esa)],[c_1348]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_1346,plain,
% 152.47/153.35 ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 152.47/153.35 | hAPP(X0,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X4,X1,X2,X3)) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2624_1) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5755,plain,
% 152.47/153.35 ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 152.47/153.35 | hAPP(X0,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X4,X1,X2,X3)) ),
% 152.47/153.35 inference(copy,[status(esa)],[c_1346]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5756,plain,
% 152.47/153.35 ( hAPP(X0,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X1,X2,X3,X4)) != hAPP(X1,c_List_Osko__List__Xmap__eq__conv__1__1(X0,X1,X2,X3,X4))
% 152.47/153.35 | c_List_Omap(X0,X2,X3,X4) = c_List_Omap(X1,X2,X3,X4) ),
% 152.47/153.35 inference(rewriting,[status(thm)],[c_5755]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_1344,plain,
% 152.47/153.35 ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 152.47/153.35 | hAPP(X0,c_List_Osko__List__Xmap__cong__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__cong__1__1(X0,X4,X1,X2,X3)) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2625_1) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5751,plain,
% 152.47/153.35 ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 152.47/153.35 | hAPP(X0,c_List_Osko__List__Xmap__cong__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__cong__1__1(X0,X4,X1,X2,X3)) ),
% 152.47/153.35 inference(copy,[status(esa)],[c_1344]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5752,plain,
% 152.47/153.35 ( hAPP(X0,c_List_Osko__List__Xmap__cong__1__1(X0,X1,X2,X3,X4)) != hAPP(X1,c_List_Osko__List__Xmap__cong__1__1(X0,X1,X2,X3,X4))
% 152.47/153.35 | c_List_Omap(X0,X2,X3,X4) = c_List_Omap(X1,X2,X3,X4) ),
% 152.47/153.35 inference(rewriting,[status(thm)],[c_5751]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_1342,plain,
% 152.47/153.35 ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 152.47/153.35 | hAPP(X0,c_List_Osko__List__Xmap__ext__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__ext__1__1(X0,X4,X1,X2,X3)) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2626_1) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5747,plain,
% 152.47/153.35 ( c_List_Omap(X0,X1,X2,X3) = c_List_Omap(X4,X1,X2,X3)
% 152.47/153.35 | hAPP(X0,c_List_Osko__List__Xmap__ext__1__1(X0,X4,X1,X2,X3)) != hAPP(X4,c_List_Osko__List__Xmap__ext__1__1(X0,X4,X1,X2,X3)) ),
% 152.47/153.35 inference(copy,[status(esa)],[c_1342]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5748,plain,
% 152.47/153.35 ( hAPP(X0,c_List_Osko__List__Xmap__ext__1__1(X0,X1,X2,X3,X4)) != hAPP(X1,c_List_Osko__List__Xmap__ext__1__1(X0,X1,X2,X3,X4))
% 152.47/153.35 | c_List_Omap(X0,X2,X3,X4) = c_List_Omap(X1,X2,X3,X4) ),
% 152.47/153.35 inference(rewriting,[status(thm)],[c_5747]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_1339,plain,
% 152.47/153.35 ( hBOOL(hAPP(X0,c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(X0)))
% 152.47/153.35 | hBOOL(hAPP(X0,X1))
% 152.47/153.35 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(X0)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2627_2) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5741,plain,
% 152.47/153.35 ( hBOOL(hAPP(X0,c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(X0)))
% 152.47/153.35 | hBOOL(hAPP(X0,X1))
% 152.47/153.35 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(X0)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.47/153.35 inference(copy,[status(esa)],[c_1339]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5742,plain,
% 152.47/153.35 ( ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__1(X0)),c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.35 | hBOOL(hAPP(X0,c_ListApplication_Osko__ListApplication__XApps__dB__induct__1__3(X0)))
% 152.47/153.35 | hBOOL(hAPP(X0,X1)) ),
% 152.47/153.35 inference(rewriting,[status(thm)],[c_5741]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_1336,plain,
% 152.47/153.35 ( hBOOL(hAPP(X0,X1))
% 152.47/153.35 | hBOOL(hAPP(X0,c_ListApplication_Osko__ListApplication__Xlem__1__3(X0)))
% 152.47/153.35 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(X0)),c_ListApplication_Osko__ListApplication__Xlem__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2628_2) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5735,plain,
% 152.47/153.35 ( hBOOL(hAPP(X0,X1))
% 152.47/153.35 | hBOOL(hAPP(X0,c_ListApplication_Osko__ListApplication__Xlem__1__3(X0)))
% 152.47/153.35 | ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(X0)),c_ListApplication_Osko__ListApplication__Xlem__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB))) ),
% 152.47/153.35 inference(copy,[status(esa)],[c_1336]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5736,plain,
% 152.47/153.35 ( ~ hBOOL(hAPP(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(c_ListApplication_Osko__ListApplication__Xlem__1__1(X0)),c_ListApplication_Osko__ListApplication__Xlem__1__2(X0),tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.35 | hBOOL(hAPP(X0,c_ListApplication_Osko__ListApplication__Xlem__1__3(X0)))
% 152.47/153.35 | hBOOL(hAPP(X0,X1)) ),
% 152.47/153.35 inference(rewriting,[status(thm)],[c_5735]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_1334,plain,
% 152.47/153.35 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.47/153.35 | X4 = X3
% 152.47/153.35 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2629_1) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5731,plain,
% 152.47/153.35 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.47/153.35 | X4 = X3
% 152.47/153.35 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 152.47/153.35 inference(copy,[status(esa)],[c_1334]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5732,plain,
% 152.47/153.35 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.47/153.35 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 152.47/153.35 | X4 = X3 ),
% 152.47/153.35 inference(rewriting,[status(thm)],[c_5731]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_1329,plain,
% 152.47/153.35 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 152.47/153.35 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2631_1) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5721,plain,
% 152.47/153.35 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 152.47/153.35 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 152.47/153.35 inference(copy,[status(esa)],[c_1329]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_1325,plain,
% 152.47/153.35 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 152.47/153.35 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2633_1) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5713,plain,
% 152.47/153.35 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 152.47/153.35 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 152.47/153.35 inference(copy,[status(esa)],[c_1325]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_1307,plain,
% 152.47/153.35 ( 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)
% 152.47/153.35 | ~ c_Type_Otypings(X0,X3,X4) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2640_1) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5677,plain,
% 152.47/153.35 ( 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)
% 152.47/153.35 | ~ c_Type_Otypings(X0,X3,X4) ),
% 152.47/153.35 inference(copy,[status(esa)],[c_1307]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_1305,plain,
% 152.47/153.35 ( 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)
% 152.47/153.35 | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2641_1) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5673,plain,
% 152.47/153.35 ( 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)
% 152.47/153.35 | ~ c_List_Olistsp(c_InductTermi_OIT,X0,tc_Lambda_OdB) ),
% 152.47/153.35 inference(copy,[status(esa)],[c_1305]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_1303,plain,
% 152.47/153.35 ( hAPP(c_Fun_Ocomp(X0,X1,X2,X3,X4),X5) = hAPP(c_Fun_Ocomp(X6,X7,X8,X3,X9),X10)
% 152.47/153.35 | hAPP(X0,hAPP(X1,X5)) != hAPP(X6,hAPP(X7,X10)) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2642_1) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5669,plain,
% 152.47/153.35 ( hAPP(c_Fun_Ocomp(X0,X1,X2,X3,X4),X5) = hAPP(c_Fun_Ocomp(X6,X7,X8,X3,X9),X10)
% 152.47/153.35 | hAPP(X0,hAPP(X1,X5)) != hAPP(X6,hAPP(X7,X10)) ),
% 152.47/153.35 inference(copy,[status(esa)],[c_1303]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_1301,plain,
% 152.47/153.35 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.35 | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2643_1) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5665,plain,
% 152.47/153.35 ( hBOOL(hAPP(c_InductTermi_OIT,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB)))
% 152.47/153.35 | ~ c_List_Olistsp(c_InductTermi_OIT,X1,tc_Lambda_OdB) ),
% 152.47/153.35 inference(copy,[status(esa)],[c_1301]) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_1299,plain,
% 152.47/153.35 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X3,X1))
% 152.47/153.35 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.47/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2645_1) ).
% 152.47/153.35
% 152.47/153.35 cnf(c_5661,plain,
% 152.47/153.35 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xvar__app__typesE__1__1(X2,X0,X3,X1))
% 152.56/153.35 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1299]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5662,plain,
% 152.56/153.35 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.56/153.35 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xvar__app__typesE__1__1(X3,X0,X1,X2)) ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5661]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1297,plain,
% 152.56/153.35 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X3,X1))
% 152.56/153.35 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2646_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5657,plain,
% 152.56/153.35 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X3,X1))
% 152.56/153.35 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1297]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5658,plain,
% 152.56/153.35 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.56/153.35 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2)) ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5657]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1295,plain,
% 152.56/153.35 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
% 152.56/153.35 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2647_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5653,plain,
% 152.56/153.35 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
% 152.56/153.35 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1295]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5654,plain,
% 152.56/153.35 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 152.56/153.35 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X0,X1,X2)) ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5653]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1293,plain,
% 152.56/153.35 ( hAPP(X0,hAPP(X1,X2)) = hAPP(X3,hAPP(X4,X2))
% 152.56/153.35 | c_Fun_Ocomp(X0,X1,X5,X6,X7) != c_Fun_Ocomp(X3,X4,X8,X6,X7) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2648_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5649,plain,
% 152.56/153.35 ( hAPP(X0,hAPP(X1,X2)) = hAPP(X3,hAPP(X4,X2))
% 152.56/153.35 | c_Fun_Ocomp(X0,X1,X5,X6,X7) != c_Fun_Ocomp(X3,X4,X8,X6,X7) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1293]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1291,plain,
% 152.56/153.35 ( X0 = X1
% 152.56/153.35 | 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) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2649_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5645,plain,
% 152.56/153.35 ( X0 = X1
% 152.56/153.35 | 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) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1291]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5646,plain,
% 152.56/153.35 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.56/153.35 | X1 = X3 ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5645]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1289,plain,
% 152.56/153.35 ( X0 = X1
% 152.56/153.35 | 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) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2650_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5641,plain,
% 152.56/153.35 ( X0 = X1
% 152.56/153.35 | 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) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1289]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5642,plain,
% 152.56/153.35 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.56/153.35 | X0 = X2 ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5641]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1287,plain,
% 152.56/153.35 ( X0 = X1
% 152.56/153.35 | 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) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2651_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5637,plain,
% 152.56/153.35 ( X0 = X1
% 152.56/153.35 | 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) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1287]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5638,plain,
% 152.56/153.35 ( 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)
% 152.56/153.35 | X1 = X3 ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5637]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1285,plain,
% 152.56/153.35 ( X0 = X1
% 152.56/153.35 | 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) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2652_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5633,plain,
% 152.56/153.35 ( X0 = X1
% 152.56/153.35 | 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) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1285]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5634,plain,
% 152.56/153.35 ( 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)
% 152.56/153.35 | X0 = X2 ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5633]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1283,plain,
% 152.56/153.35 ( 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))
% 152.56/153.35 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2653_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5629,plain,
% 152.56/153.35 ( 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))
% 152.56/153.35 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1283]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5630,plain,
% 152.56/153.35 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 152.56/153.35 | 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)) ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5629]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1281,plain,
% 152.56/153.35 ( X0 = X1
% 152.56/153.35 | 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) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2655_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5625,plain,
% 152.56/153.35 ( X0 = X1
% 152.56/153.35 | 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) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1281]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5626,plain,
% 152.56/153.35 ( 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)
% 152.56/153.35 | X0 = X2 ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5625]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1279,plain,
% 152.56/153.35 ( c_List_Ofoldl(X0,hAPP(hAPP(X0,X1),X2),X3,X4,X4) = hAPP(hAPP(X0,X1),c_List_Ofoldl(X0,X2,X3,X4,X4))
% 152.56/153.35 | ~ c_OrderedGroup_Osemigroup__add(X0,X4) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2656_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5621,plain,
% 152.56/153.35 ( c_List_Ofoldl(X0,hAPP(hAPP(X0,X1),X2),X3,X4,X4) = hAPP(hAPP(X0,X1),c_List_Ofoldl(X0,X2,X3,X4,X4))
% 152.56/153.35 | ~ c_OrderedGroup_Osemigroup__add(X0,X4) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1279]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5622,plain,
% 152.56/153.35 ( ~ c_OrderedGroup_Osemigroup__add(X0,X1)
% 152.56/153.35 | c_List_Ofoldl(X0,hAPP(hAPP(X0,X2),X3),X4,X1,X1) = hAPP(hAPP(X0,X2),c_List_Ofoldl(X0,X3,X4,X1,X1)) ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5621]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1277,plain,
% 152.56/153.35 ( hAPP(hAPP(X0,X1),c_List_Ofoldl(X0,X2,X3,X4,X4)) = c_List_Ofoldl(X0,X1,X3,X4,X4)
% 152.56/153.35 | ~ c_OrderedGroup_Omonoid__add(X2,X0,X4) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2657_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5617,plain,
% 152.56/153.35 ( hAPP(hAPP(X0,X1),c_List_Ofoldl(X0,X2,X3,X4,X4)) = c_List_Ofoldl(X0,X1,X3,X4,X4)
% 152.56/153.35 | ~ c_OrderedGroup_Omonoid__add(X2,X0,X4) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1277]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5618,plain,
% 152.56/153.35 ( ~ c_OrderedGroup_Omonoid__add(X0,X1,X2)
% 152.56/153.35 | hAPP(hAPP(X1,X3),c_List_Ofoldl(X1,X0,X4,X2,X2)) = c_List_Ofoldl(X1,X3,X4,X2,X2) ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5617]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1275,plain,
% 152.56/153.35 ( 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)
% 152.56/153.35 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2658_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5613,plain,
% 152.56/153.35 ( 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)
% 152.56/153.35 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1275]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5614,plain,
% 152.56/153.35 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 152.56/153.35 | 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) ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5613]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1272,plain,
% 152.56/153.35 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.56/153.35 | 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
% 152.56/153.35 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2660_2) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5607,plain,
% 152.56/153.35 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.56/153.35 | 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
% 152.56/153.35 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1272]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5608,plain,
% 152.56/153.35 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.56/153.35 | 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
% 152.56/153.35 | X3 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5607]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1270,plain,
% 152.56/153.35 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X1),X2)),c_Suc(X3))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X1),X3)),X2) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X4),X2)),X1),X3)
% 152.56/153.35 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2662_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5603,plain,
% 152.56/153.35 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),hAPP(hAPP(c_Lambda_Olift,X1),X2)),c_Suc(X3))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X1),X3)),X2) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X4),X2)),X1),X3)
% 152.56/153.35 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1270]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5604,plain,
% 152.56/153.35 ( ~ 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)
% 152.56/153.35 | hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),hAPP(hAPP(c_Lambda_Olift,X3),X0)),c_Suc(X1))),hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X1)),X0) = hAPP(hAPP(hAPP(c_Lambda_Osubst,hAPP(hAPP(hAPP(c_Lambda_Osubst,X2),X4),X0)),X3),X1) ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5603]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1268,plain,
% 152.56/153.35 ( 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)
% 152.56/153.35 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2663_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5599,plain,
% 152.56/153.35 ( 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)
% 152.56/153.35 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1268]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5600,plain,
% 152.56/153.35 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.56/153.35 | 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) ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5599]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1258,plain,
% 152.56/153.35 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 152.56/153.35 | 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) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2671_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5579,plain,
% 152.56/153.35 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2
% 152.56/153.35 | 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) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1258]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5580,plain,
% 152.56/153.35 ( 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)
% 152.56/153.35 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) = X2 ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5579]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1256,plain,
% 152.56/153.35 ( c_Lambda_OdB_OVar(X0) = X1
% 152.56/153.35 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2673_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5575,plain,
% 152.56/153.35 ( c_Lambda_OdB_OVar(X0) = X1
% 152.56/153.35 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1256]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5576,plain,
% 152.56/153.35 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.56/153.35 | c_Lambda_OdB_OVar(X0) = X1 ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5575]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1254,plain,
% 152.56/153.35 ( c_Lambda_OdB_OAbs(X0) = X1
% 152.56/153.35 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2674_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5571,plain,
% 152.56/153.35 ( c_Lambda_OdB_OAbs(X0) = X1
% 152.56/153.35 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1254]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5572,plain,
% 152.56/153.35 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.56/153.35 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5571]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1252,plain,
% 152.56/153.35 ( X0 = c_Lambda_OdB_OAbs(X1)
% 152.56/153.35 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2675_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5567,plain,
% 152.56/153.35 ( X0 = c_Lambda_OdB_OAbs(X1)
% 152.56/153.35 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1252]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5568,plain,
% 152.56/153.35 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 152.56/153.35 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5567]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1250,plain,
% 152.56/153.35 ( 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)
% 152.56/153.35 | ~ 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) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2676_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5563,plain,
% 152.56/153.35 ( 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)
% 152.56/153.35 | ~ 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) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1250]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5564,plain,
% 152.56/153.35 ( ~ 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)
% 152.56/153.35 | 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) ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5563]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1248,plain,
% 152.56/153.35 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.56/153.35 | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2677_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5559,plain,
% 152.56/153.35 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.56/153.35 | c_Lambda_OdB_OVar(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1248]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5560,plain,
% 152.56/153.35 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.56/153.35 | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5559]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1246,plain,
% 152.56/153.35 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.56/153.35 | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2678_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5555,plain,
% 152.56/153.35 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.56/153.35 | c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1246]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5556,plain,
% 152.56/153.35 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 152.56/153.35 | X1 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5555]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1244,plain,
% 152.56/153.35 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.56/153.35 | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2679_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5551,plain,
% 152.56/153.35 ( X0 = c_List_Olist_ONil(tc_Lambda_OdB)
% 152.56/153.35 | c_Lambda_OdB_OAbs(X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X0,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1244]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5552,plain,
% 152.56/153.35 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 152.56/153.35 | X2 = c_List_Olist_ONil(tc_Lambda_OdB) ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5551]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1238,plain,
% 152.56/153.35 ( c_ListOrder_Ostep1(X0,X1,X2,X3)
% 152.56/153.35 | X1 = X2
% 152.56/153.35 | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2681_2) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5539,plain,
% 152.56/153.35 ( c_ListOrder_Ostep1(X0,X1,X2,X3)
% 152.56/153.35 | X1 = X2
% 152.56/153.35 | ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X2,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1238]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5540,plain,
% 152.56/153.35 ( ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3)
% 152.56/153.35 | c_ListOrder_Ostep1(X0,X1,X4,X3)
% 152.56/153.35 | X1 = X4 ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5539]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1229,plain,
% 152.56/153.35 ( X0 = X1
% 152.56/153.35 | c_List_Olist__update(c_List_Olist__update(X2,X0,X3,X4),X1,X5,X4) = c_List_Olist__update(c_List_Olist__update(X2,X1,X5,X4),X0,X3,X4) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2686_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5521,plain,
% 152.56/153.35 ( X0 = X1
% 152.56/153.35 | c_List_Olist__update(c_List_Olist__update(X2,X0,X3,X4),X1,X5,X4) = c_List_Olist__update(c_List_Olist__update(X2,X1,X5,X4),X0,X3,X4) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1229]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5522,plain,
% 152.56/153.35 ( c_List_Olist__update(c_List_Olist__update(X0,X1,X2,X3),X4,X5,X3) = c_List_Olist__update(c_List_Olist__update(X0,X4,X5,X3),X1,X2,X3)
% 152.56/153.35 | X1 = X4 ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5521]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1228,plain,
% 152.56/153.35 ( ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3)
% 152.56/153.35 | X1 = X4
% 152.56/153.35 | X2 = X5 ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2687_0) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5519,plain,
% 152.56/153.35 ( ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3)
% 152.56/153.35 | X1 = X4
% 152.56/153.35 | X2 = X5 ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1228]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1226,plain,
% 152.56/153.35 ( X0 = X1
% 152.56/153.35 | X2 = X3
% 152.56/153.35 | ~ c_ListOrder_Ostep1(X4,c_List_Oappend(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil(X5),X5),X5),c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X5),X5),X5),X5) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2687_2) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5515,plain,
% 152.56/153.35 ( X0 = X1
% 152.56/153.35 | X2 = X3
% 152.56/153.35 | ~ c_ListOrder_Ostep1(X4,c_List_Oappend(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil(X5),X5),X5),c_List_Oappend(X3,c_List_Olist_OCons(X1,c_List_Olist_ONil(X5),X5),X5),X5) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1226]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5516,plain,
% 152.56/153.35 ( ~ c_ListOrder_Ostep1(X0,c_List_Oappend(X1,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3),c_List_Oappend(X4,c_List_Olist_OCons(X5,c_List_Olist_ONil(X3),X3),X3),X3)
% 152.56/153.35 | X2 = X5
% 152.56/153.35 | X1 = X4 ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5515]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1222,plain,
% 152.56/153.35 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.56/153.35 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.56/153.35 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.56/153.35 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2688_3) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5507,plain,
% 152.56/153.35 ( c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.56/153.35 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.56/153.35 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0
% 152.56/153.35 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1222]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5508,plain,
% 152.56/153.35 ( ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 152.56/153.35 | c_List_Olistsp(c_InductTermi_OIT,v_sko__InductTermi__XIT__Xcases__1(X0),tc_Lambda_OdB)
% 152.56/153.35 | c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__3(X0)) = X0
% 152.56/153.35 | c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(v_sko__InductTermi__XIT__Xcases__4(X0))),v_sko__InductTermi__XIT__Xcases__5(X0)),v_sko__InductTermi__XIT__Xcases__6(X0),tc_Lambda_OdB,tc_Lambda_OdB) = X0 ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5507]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1220,plain,
% 152.56/153.35 ( 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)))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2689_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5503,plain,
% 152.56/153.35 ( 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)))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1220]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1218,plain,
% 152.56/153.35 ( 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)))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X3)) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2690_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5499,plain,
% 152.56/153.35 ( 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)))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X3)) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1218]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1208,plain,
% 152.56/153.35 ( 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)))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3)) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2696_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5479,plain,
% 152.56/153.35 ( 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)))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X3)) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1208]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1206,plain,
% 152.56/153.35 ( 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)
% 152.56/153.35 | ~ 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) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2700_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5475,plain,
% 152.56/153.35 ( 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)
% 152.56/153.35 | ~ 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) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1206]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5476,plain,
% 152.56/153.35 ( ~ 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)
% 152.56/153.35 | 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) ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5475]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1204,plain,
% 152.56/153.35 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2)))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X3)) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2701_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5471,plain,
% 152.56/153.35 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2)))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X3)) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1204]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1198,plain,
% 152.56/153.35 ( 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)))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2708_2) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5459,plain,
% 152.56/153.35 ( 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)))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X3)) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1198]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1192,plain,
% 152.56/153.35 ( X0 = X1
% 152.56/153.35 | c_ListOrder_Ostep1(X2,X1,X0,X3)
% 152.56/153.35 | ~ c_ListOrder_Ostep1(X2,c_List_Olist_OCons(X4,X1,X3),c_List_Olist_OCons(X5,X0,X3),X3) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2711_2) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5447,plain,
% 152.56/153.35 ( X0 = X1
% 152.56/153.35 | c_ListOrder_Ostep1(X2,X1,X0,X3)
% 152.56/153.35 | ~ c_ListOrder_Ostep1(X2,c_List_Olist_OCons(X4,X1,X3),c_List_Olist_OCons(X5,X0,X3),X3) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1192]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5448,plain,
% 152.56/153.35 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)
% 152.56/153.35 | c_ListOrder_Ostep1(X0,X2,X5,X3)
% 152.56/153.35 | X5 = X2 ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5447]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1188,plain,
% 152.56/153.35 ( hBOOL(hAPP(X0,X1))
% 152.56/153.35 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2713_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5439,plain,
% 152.56/153.35 ( hBOOL(hAPP(X0,X1))
% 152.56/153.35 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1188]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5440,plain,
% 152.56/153.35 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 152.56/153.35 | hBOOL(hAPP(X0,X2)) ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5439]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1186,plain,
% 152.56/153.35 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),c_Type_Otype_OFun(X2,X3))
% 152.56/153.35 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2714_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5435,plain,
% 152.56/153.35 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),c_Type_Otype_OFun(X2,X3))
% 152.56/153.35 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1186]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5436,plain,
% 152.56/153.35 ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 152.56/153.35 | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),c_Type_Otype_OFun(X1,X3)) ),
% 152.56/153.35 inference(rewriting,[status(thm)],[c_5435]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1184,plain,
% 152.56/153.35 ( c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X1,X4,X3),X3)
% 152.56/153.35 | ~ c_ListOrder_Ostep1(X0,X2,X4,X3) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2721_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5431,plain,
% 152.56/153.35 ( c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X1,X4,X3),X3)
% 152.56/153.35 | ~ c_ListOrder_Ostep1(X0,X2,X4,X3) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1184]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1182,plain,
% 152.56/153.35 ( c_ListOrder_Ostep1(X0,c_List_Oappend(X1,X2,X3),c_List_Oappend(X1,X4,X3),X3)
% 152.56/153.35 | ~ c_ListOrder_Ostep1(X0,X2,X4,X3) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2722_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5427,plain,
% 152.56/153.35 ( c_ListOrder_Ostep1(X0,c_List_Oappend(X1,X2,X3),c_List_Oappend(X1,X4,X3),X3)
% 152.56/153.35 | ~ c_ListOrder_Ostep1(X0,X2,X4,X3) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1182]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1180,plain,
% 152.56/153.35 ( c_ListOrder_Ostep1(X0,c_List_Oappend(X1,X2,X3),c_List_Oappend(X4,X2,X3),X3)
% 152.56/153.35 | ~ c_ListOrder_Ostep1(X0,X1,X4,X3) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2723_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5423,plain,
% 152.56/153.35 ( c_ListOrder_Ostep1(X0,c_List_Oappend(X1,X2,X3),c_List_Oappend(X4,X2,X3),X3)
% 152.56/153.35 | ~ c_ListOrder_Ostep1(X0,X1,X4,X3) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1180]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1178,plain,
% 152.56/153.35 ( 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)))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2724_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5419,plain,
% 152.56/153.35 ( 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)))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1178]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1176,plain,
% 152.56/153.35 ( 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)))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2725_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5415,plain,
% 152.56/153.35 ( 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)))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X2)) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1176]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1174,plain,
% 152.56/153.35 ( 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)))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2726_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5411,plain,
% 152.56/153.35 ( 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)))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X1),X2)) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1174]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1170,plain,
% 152.56/153.35 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X2))
% 152.56/153.35 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2731_0) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5403,plain,
% 152.56/153.35 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X2))
% 152.56/153.35 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1170]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1169,plain,
% 152.56/153.35 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.56/153.35 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X2)) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2731_1) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5401,plain,
% 152.56/153.35 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.56/153.35 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X2)) ),
% 152.56/153.35 inference(copy,[status(esa)],[c_1169]) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_1168,plain,
% 152.56/153.35 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 152.56/153.35 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2731_2) ).
% 152.56/153.35
% 152.56/153.35 cnf(c_5399,plain,
% 152.56/153.35 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.56/153.35 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 152.56/153.36 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1168]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1167,plain,
% 152.56/153.36 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)
% 152.56/153.36 | X4 = X1
% 152.56/153.36 | X5 = X2 ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2732_0) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5397,plain,
% 152.56/153.36 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)
% 152.56/153.36 | X4 = X1
% 152.56/153.36 | X5 = X2 ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1167]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1165,plain,
% 152.56/153.36 ( X0 = X1
% 152.56/153.36 | X2 = X3
% 152.56/153.36 | ~ c_ListOrder_Ostep1(X4,c_List_Olist_OCons(X3,X1,X5),c_List_Olist_OCons(X2,X0,X5),X5) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2732_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5393,plain,
% 152.56/153.36 ( X0 = X1
% 152.56/153.36 | X2 = X3
% 152.56/153.36 | ~ c_ListOrder_Ostep1(X4,c_List_Olist_OCons(X3,X1,X5),c_List_Olist_OCons(X2,X0,X5),X5) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1165]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5394,plain,
% 152.56/153.36 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X5,X3),X3)
% 152.56/153.36 | X5 = X2
% 152.56/153.36 | X4 = X1 ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5393]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1163,plain,
% 152.56/153.36 ( 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))
% 152.56/153.36 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2733_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5389,plain,
% 152.56/153.36 ( 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))
% 152.56/153.36 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1163]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5390,plain,
% 152.56/153.36 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.56/153.36 | 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)) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5389]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1161,plain,
% 152.56/153.36 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,c_HOL_Ominus__class_Ominus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X4,tc_nat) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2734_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5385,plain,
% 152.56/153.36 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,c_HOL_Ominus__class_Ominus(X4,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X4,tc_nat) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1161]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5386,plain,
% 152.56/153.36 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.56/153.36 | hAPP(c_Type_Oshift(X2,X0,X3,X4),X1) = hAPP(X2,c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5385]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1159,plain,
% 152.56/153.36 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X3),X1),X4)
% 152.56/153.36 | ~ c_Type_Otyping(X0,X3,X4) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2735_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5381,plain,
% 152.56/153.36 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),hAPP(hAPP(c_Lambda_Olift,X3),X1),X4)
% 152.56/153.36 | ~ c_Type_Otyping(X0,X3,X4) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1159]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1157,plain,
% 152.56/153.36 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.56/153.36 | c_List_Olist_OCons(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2736_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5377,plain,
% 152.56/153.36 ( c_Int_Onumber__class_Onumber__of(X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.56/153.36 | c_List_Olist_OCons(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1157]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5378,plain,
% 152.56/153.36 ( c_List_Olist_OCons(X0,c_List_Otake(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(c_Int_Onumber__class_Onumber__of(X1,tc_nat),c_List_Olist_OCons(X0,X2,X3),X3)
% 152.56/153.36 | c_Int_Onumber__class_Onumber__of(X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5377]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1155,plain,
% 152.56/153.36 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)))
% 152.56/153.36 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2737_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5373,plain,
% 152.56/153.36 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_Olift,X0),X1)),hAPP(hAPP(c_Lambda_Olift,X2),X1)))
% 152.56/153.36 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1155]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1153,plain,
% 152.56/153.36 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)))
% 152.56/153.36 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2738_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5369,plain,
% 152.56/153.36 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)))
% 152.56/153.36 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X2)) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1153]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1151,plain,
% 152.56/153.36 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2)))
% 152.56/153.36 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2739_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5365,plain,
% 152.56/153.36 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1)),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2)))
% 152.56/153.36 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X1),X2)) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1151]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1147,plain,
% 152.56/153.36 ( c_lessequals(X0,X1,X2)
% 152.56/153.36 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 152.56/153.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.56/153.36 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2740_3) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5357,plain,
% 152.56/153.36 ( c_lessequals(X0,X1,X2)
% 152.56/153.36 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 152.56/153.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 152.56/153.36 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1147]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5358,plain,
% 152.56/153.36 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.56/153.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.36 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 152.56/153.36 | c_lessequals(X2,X1,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5357]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1144,plain,
% 152.56/153.36 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.56/153.36 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 152.56/153.36 | ~ hBOOL(hAPP(hAPP(X0,X4),X3)) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2741_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5351,plain,
% 152.56/153.36 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.56/153.36 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 152.56/153.36 | ~ hBOOL(hAPP(hAPP(X0,X4),X3)) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1144]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1142,plain,
% 152.56/153.36 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.56/153.36 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 152.56/153.36 | ~ hBOOL(hAPP(hAPP(X0,X4),X2)) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2742_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5347,plain,
% 152.56/153.36 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.56/153.36 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 152.56/153.36 | ~ hBOOL(hAPP(hAPP(X0,X4),X2)) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1142]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1139,plain,
% 152.56/153.36 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2743_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5341,plain,
% 152.56/153.36 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1139]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5342,plain,
% 152.56/153.36 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.56/153.36 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5341]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1137,plain,
% 152.56/153.36 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X1)),c_Suc(X2)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X2)),X1)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2744_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5337,plain,
% 152.56/153.36 ( hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X1)),c_Suc(X2)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X0),X2)),X1)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Oone__class_Oone(tc_nat)),tc_nat) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1137]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5338,plain,
% 152.56/153.36 ( ~ 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)
% 152.56/153.36 | hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X2),X0)),c_Suc(X1)) = hAPP(hAPP(c_Lambda_Olift,hAPP(hAPP(c_Lambda_Olift,X2),X1)),X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5337]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1135,plain,
% 152.56/153.36 ( c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X2,X3),X3)
% 152.56/153.36 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2746_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5333,plain,
% 152.56/153.36 ( c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X2,X3),c_List_Olist_OCons(X4,X2,X3),X3)
% 152.56/153.36 | ~ hBOOL(hAPP(hAPP(X0,X1),X4)) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1135]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5334,plain,
% 152.56/153.36 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.56/153.36 | c_ListOrder_Ostep1(X0,c_List_Olist_OCons(X1,X3,X4),c_List_Olist_OCons(X2,X3,X4),X4) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5333]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1133,plain,
% 152.56/153.36 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.56/153.36 | c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2747_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5329,plain,
% 152.56/153.36 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.56/153.36 | c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1133]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5330,plain,
% 152.56/153.36 ( c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)),X1)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)
% 152.56/153.36 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5329]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1114,plain,
% 152.56/153.36 ( X0 = X1
% 152.56/153.36 | 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) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2752_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5291,plain,
% 152.56/153.36 ( X0 = X1
% 152.56/153.36 | 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) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1114]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5292,plain,
% 152.56/153.36 ( 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)
% 152.56/153.36 | X1 = X4 ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5291]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1112,plain,
% 152.56/153.36 ( X0 = X1
% 152.56/153.36 | 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) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2753_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5287,plain,
% 152.56/153.36 ( X0 = X1
% 152.56/153.36 | 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) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1112]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5288,plain,
% 152.56/153.36 ( 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)
% 152.56/153.36 | X0 = X3 ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5287]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1107,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.56/153.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.56/153.36 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2754_4) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5277,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.56/153.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.56/153.36 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1107]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5278,plain,
% 152.56/153.36 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.56/153.36 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.56/153.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5277]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1105,plain,
% 152.56/153.36 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.56/153.36 | c_List_Olist_OCons(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(X0,c_List_Olist_OCons(X1,X2,X3),X3) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2755_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5273,plain,
% 152.56/153.36 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.56/153.36 | c_List_Olist_OCons(X1,c_List_Otake(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(X0,c_List_Olist_OCons(X1,X2,X3),X3) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1105]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5274,plain,
% 152.56/153.36 ( c_List_Olist_OCons(X0,c_List_Otake(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat),X2,X3),X3) = c_List_Otake(X1,c_List_Olist_OCons(X0,X2,X3),X3)
% 152.56/153.36 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5273]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1103,plain,
% 152.56/153.36 ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,X1,hAPP(X0,X2),X3) = c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_Suc(X1),X2,X3)
% 152.56/153.36 | ~ class_Ring__and__Field_Osemiring__1(X3) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2756_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5269,plain,
% 152.56/153.36 ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,X1,hAPP(X0,X2),X3) = c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_Suc(X1),X2,X3)
% 152.56/153.36 | ~ class_Ring__and__Field_Osemiring__1(X3) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1103]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5270,plain,
% 152.56/153.36 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.56/153.36 | c_Nat_Osemiring__1__class_Oof__nat__aux(X1,X2,hAPP(X1,X3),X0) = c_Nat_Osemiring__1__class_Oof__nat__aux(X1,c_Suc(X2),X3,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5269]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1101,plain,
% 152.56/153.36 ( 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)
% 152.56/153.36 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2757_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5265,plain,
% 152.56/153.36 ( 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)
% 152.56/153.36 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1101]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5266,plain,
% 152.56/153.36 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.56/153.36 | 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) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5265]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1097,plain,
% 152.56/153.36 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.56/153.36 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 152.56/153.36 | ~ c_lessequals(X4,X3,X1)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2759_3) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5257,plain,
% 152.56/153.36 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 152.56/153.36 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 152.56/153.36 | ~ c_lessequals(X4,X3,X1)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1097]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5258,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.56/153.36 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 152.56/153.36 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4),X0)
% 152.56/153.36 | ~ c_lessequals(X4,X3,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5257]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1094,plain,
% 152.56/153.36 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 152.56/153.36 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2760_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5251,plain,
% 152.56/153.36 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 152.56/153.36 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1094]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1091,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.56/153.36 | ~ 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)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2763_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5245,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.56/153.36 | ~ 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)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1091]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5246,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.56/153.36 | ~ 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)
% 152.56/153.36 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5245]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1088,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.56/153.36 | ~ 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)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2764_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5239,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.56/153.36 | ~ 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)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1088]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5240,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.56/153.36 | ~ 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)
% 152.56/153.36 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5239]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1085,plain,
% 152.56/153.36 ( c_lessequals(X0,X1,X2)
% 152.56/153.36 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2765_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5233,plain,
% 152.56/153.36 ( c_lessequals(X0,X1,X2)
% 152.56/153.36 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1085]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5234,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.56/153.36 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.56/153.36 | c_lessequals(X1,X3,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5233]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1082,plain,
% 152.56/153.36 ( c_lessequals(X0,X1,X2)
% 152.56/153.36 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2766_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5227,plain,
% 152.56/153.36 ( c_lessequals(X0,X1,X2)
% 152.56/153.36 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1082]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5228,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.56/153.36 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.56/153.36 | c_lessequals(X2,X3,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5227]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1074,plain,
% 152.56/153.36 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 152.56/153.36 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2769_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5211,plain,
% 152.56/153.36 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 152.56/153.36 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1074]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1070,plain,
% 152.56/153.36 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.56/153.36 | ~ c_lessequals(X0,X3,X2)
% 152.56/153.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.56/153.36 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2770_3) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5203,plain,
% 152.56/153.36 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 152.56/153.36 | ~ c_lessequals(X0,X3,X2)
% 152.56/153.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 152.56/153.36 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1070]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5204,plain,
% 152.56/153.36 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.56/153.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.36 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 152.56/153.36 | ~ c_lessequals(X1,X3,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5203]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1062,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 152.56/153.36 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2772_3) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5187,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X0,X2)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 152.56/153.36 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1062]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5188,plain,
% 152.56/153.36 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.56/153.36 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5187]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1060,plain,
% 152.56/153.36 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X0)),c_Lambda_OdB_OAbs(X1)))
% 152.56/153.36 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X1)) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2773_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5183,plain,
% 152.56/153.36 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),c_Lambda_OdB_OAbs(X0)),c_Lambda_OdB_OAbs(X1)))
% 152.56/153.36 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(c_Lambda_Obeta,tc_Lambda_OdB),X0),X1)) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1060]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1056,plain,
% 152.56/153.36 ( 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2774_3) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5175,plain,
% 152.56/153.36 ( 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1056]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5176,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.56/153.36 | 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5175]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1052,plain,
% 152.56/153.36 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.56/153.36 | ~ c_lessequals(X1,X3,X0)
% 152.56/153.36 | ~ c_lessequals(X2,X4,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2775_3) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5167,plain,
% 152.56/153.36 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.56/153.36 | ~ c_lessequals(X1,X3,X0)
% 152.56/153.36 | ~ c_lessequals(X2,X4,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1052]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5168,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 152.56/153.36 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 152.56/153.36 | ~ c_lessequals(X1,X3,X0)
% 152.56/153.36 | ~ c_lessequals(X2,X4,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5167]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1044,plain,
% 152.56/153.36 ( 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.56/153.36 | ~ c_lessequals(X2,X4,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2777_3) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5151,plain,
% 152.56/153.36 ( 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.56/153.36 | ~ c_lessequals(X2,X4,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1044]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5152,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.56/153.36 | 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.56/153.36 | ~ c_lessequals(X2,X4,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5151]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1041,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2779_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5145,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1041]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1039,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.56/153.36 | ~ 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) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2780_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5141,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.56/153.36 | ~ 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) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1039]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5142,plain,
% 152.56/153.36 ( ~ 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)
% 152.56/153.36 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5141]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1035,plain,
% 152.56/153.36 ( 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))
% 152.56/153.36 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2782_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5133,plain,
% 152.56/153.36 ( 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))
% 152.56/153.36 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1035]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5134,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.56/153.36 | 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)) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5133]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1033,plain,
% 152.56/153.36 ( 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))
% 152.56/153.36 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2783_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5129,plain,
% 152.56/153.36 ( 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))
% 152.56/153.36 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1033]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5130,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 152.56/153.36 | 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)) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5129]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1029,plain,
% 152.56/153.36 ( 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))
% 152.56/153.36 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2785_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5121,plain,
% 152.56/153.36 ( 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))
% 152.56/153.36 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1029]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5122,plain,
% 152.56/153.36 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.56/153.36 | 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)) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5121]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1026,plain,
% 152.56/153.36 ( 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2787_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5115,plain,
% 152.56/153.36 ( 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1026]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1022,plain,
% 152.56/153.36 ( X0 = c_List_Olist_ONil(X1)
% 152.56/153.36 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2789_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5107,plain,
% 152.56/153.36 ( X0 = c_List_Olist_ONil(X1)
% 152.56/153.36 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1022]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5108,plain,
% 152.56/153.36 ( c_List_Omap(X0,X1,X2,X3) != c_List_Olist_ONil(X3)
% 152.56/153.36 | X1 = c_List_Olist_ONil(X2) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5107]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1020,plain,
% 152.56/153.36 ( X0 = c_List_Olist_ONil(X1)
% 152.56/153.36 | c_List_Olist__update(X0,X2,X3,X1) != c_List_Olist_ONil(X1) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2790_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5103,plain,
% 152.56/153.36 ( X0 = c_List_Olist_ONil(X1)
% 152.56/153.36 | c_List_Olist__update(X0,X2,X3,X1) != c_List_Olist_ONil(X1) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1020]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5104,plain,
% 152.56/153.36 ( c_List_Olist__update(X0,X1,X2,X3) != c_List_Olist_ONil(X3)
% 152.56/153.36 | X0 = c_List_Olist_ONil(X3) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5103]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1010,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2795_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5083,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1010]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1007,plain,
% 152.56/153.36 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 152.56/153.36 | 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)
% 152.56/153.36 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2797_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5077,plain,
% 152.56/153.36 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 152.56/153.36 | 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)
% 152.56/153.36 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1007]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5078,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.56/153.36 | 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)
% 152.56/153.36 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5077]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_1005,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2798_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5073,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_1005]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5074,plain,
% 152.56/153.36 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 152.56/153.36 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5073]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_997,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2805_3) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5057,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_997]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5058,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.56/153.36 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5057]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_993,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2806_3) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5049,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_993]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5050,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.56/153.36 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5049]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_989,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2807_3) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5041,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_989]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5042,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.56/153.36 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5041]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_977,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2810_3) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5017,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_977]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5018,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.56/153.36 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5017]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_973,plain,
% 152.56/153.36 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2811_3) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5009,plain,
% 152.56/153.36 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_973]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5010,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.56/153.36 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.36 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5009]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_969,plain,
% 152.56/153.36 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.56/153.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2812_3) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5001,plain,
% 152.56/153.36 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.56/153.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_969]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_5002,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.56/153.36 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 152.56/153.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.36 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_5001]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_965,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 152.56/153.36 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2813_3) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4993,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 152.56/153.36 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_965]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4994,plain,
% 152.56/153.36 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.56/153.36 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X2,X1,X0),X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_4993]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_942,plain,
% 152.56/153.36 ( 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2818_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4947,plain,
% 152.56/153.36 ( 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_942]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4948,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.56/153.36 | 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_4947]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_939,plain,
% 152.56/153.36 ( 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2819_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4941,plain,
% 152.56/153.36 ( 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_939]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4942,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.56/153.36 | 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_4941]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_936,plain,
% 152.56/153.36 ( 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2820_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4935,plain,
% 152.56/153.36 ( 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_936]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4936,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.56/153.36 | 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_4935]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_933,plain,
% 152.56/153.36 ( 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2821_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4929,plain,
% 152.56/153.36 ( 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_933]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4930,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 152.56/153.36 | 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)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_4929]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_930,plain,
% 152.56/153.36 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.56/153.36 | ~ c_lessequals(X1,X3,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2822_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4923,plain,
% 152.56/153.36 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.56/153.36 | ~ c_lessequals(X1,X3,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_930]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4924,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.56/153.36 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.56/153.36 | ~ c_lessequals(X1,X3,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_4923]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_927,plain,
% 152.56/153.36 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.56/153.36 | ~ c_lessequals(X2,X3,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2823_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4917,plain,
% 152.56/153.36 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.56/153.36 | ~ c_lessequals(X2,X3,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_927]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4918,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 152.56/153.36 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.56/153.36 | ~ c_lessequals(X2,X3,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_4917]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_924,plain,
% 152.56/153.36 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.56/153.36 | ~ c_lessequals(X1,X3,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2824_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4911,plain,
% 152.56/153.36 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.56/153.36 | ~ c_lessequals(X1,X3,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_924]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4912,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 152.56/153.36 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 152.56/153.36 | ~ c_lessequals(X1,X3,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_4911]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_921,plain,
% 152.56/153.36 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.56/153.36 | ~ c_lessequals(X2,X3,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2825_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4905,plain,
% 152.56/153.36 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.56/153.36 | ~ c_lessequals(X2,X3,X0)
% 152.56/153.36 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_921]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4906,plain,
% 152.56/153.36 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 152.56/153.36 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 152.56/153.36 | ~ c_lessequals(X2,X3,X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_4905]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_917,plain,
% 152.56/153.36 ( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 152.56/153.36 | ~ class_Int_Onumber(X1)
% 152.56/153.36 | ~ class_Orderings_Olinorder(X1) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2826_3) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4897,plain,
% 152.56/153.36 ( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 152.56/153.36 | ~ class_Int_Onumber(X1)
% 152.56/153.36 | ~ class_Orderings_Olinorder(X1) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_917]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4898,plain,
% 152.56/153.36 ( ~ class_Orderings_Olinorder(X0)
% 152.56/153.36 | ~ class_Int_Onumber(X0)
% 152.56/153.36 | ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 152.56/153.36 | ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_4897]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_912,plain,
% 152.56/153.36 ( ~ 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)
% 152.56/153.36 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.56/153.36 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2828_0) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4887,plain,
% 152.56/153.36 ( ~ 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)
% 152.56/153.36 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.56/153.36 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_912]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_910,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.56/153.36 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.56/153.36 | ~ 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) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2828_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4883,plain,
% 152.56/153.36 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.56/153.36 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.56/153.36 | ~ 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) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_910]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4884,plain,
% 152.56/153.36 ( ~ 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)
% 152.56/153.36 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.56/153.36 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.56/153.36 inference(rewriting,[status(thm)],[c_4883]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_907,plain,
% 152.56/153.36 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 152.56/153.36 | ~ c_Type_Otyping(X0,X1,c_Type_Otype_OFun(X4,X3))
% 152.56/153.36 | ~ c_Type_Otyping(X0,X2,X4) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2829_2) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4877,plain,
% 152.56/153.36 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 152.56/153.36 | ~ c_Type_Otyping(X0,X1,c_Type_Otype_OFun(X4,X3))
% 152.56/153.36 | ~ c_Type_Otyping(X0,X2,X4) ),
% 152.56/153.36 inference(copy,[status(esa)],[c_907]) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_905,plain,
% 152.56/153.36 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 152.56/153.36 | ~ c_OrderedGroup_Osemigroup__add(X0,X4) ),
% 152.56/153.36 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2830_1) ).
% 152.56/153.36
% 152.56/153.36 cnf(c_4873,plain,
% 152.56/153.37 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 152.56/153.37 | ~ c_OrderedGroup_Osemigroup__add(X0,X4) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_905]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4874,plain,
% 152.56/153.37 ( ~ c_OrderedGroup_Osemigroup__add(X0,X1)
% 152.56/153.37 | hAPP(hAPP(X0,hAPP(hAPP(X0,X2),X3)),X4) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X3),X4)) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4873]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_903,plain,
% 152.56/153.37 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.56/153.37 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2831_1) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4869,plain,
% 152.56/153.37 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.56/153.37 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_903]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4870,plain,
% 152.56/153.37 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.56/153.37 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4869]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_899,plain,
% 152.56/153.37 ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 152.56/153.37 | ~ c_List_Olistsp(X0,X1,X3)
% 152.56/153.37 | ~ c_List_Olistsp(X0,X2,X3) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2832_2) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4861,plain,
% 152.56/153.37 ( c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 152.56/153.37 | ~ c_List_Olistsp(X0,X1,X3)
% 152.56/153.37 | ~ c_List_Olistsp(X0,X2,X3) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_899]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_896,plain,
% 152.56/153.37 ( c_lessequals(X0,X1,X2)
% 152.56/153.37 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.56/153.37 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2835_2) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4855,plain,
% 152.56/153.37 ( c_lessequals(X0,X1,X2)
% 152.56/153.37 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.56/153.37 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_896]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4856,plain,
% 152.56/153.37 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.56/153.37 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.37 | c_lessequals(X1,X2,X0) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4855]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_893,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.56/153.37 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2836_2) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4849,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.56/153.37 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_893]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4850,plain,
% 152.56/153.37 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.37 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4849]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_890,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.56/153.37 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2837_2) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4843,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.56/153.37 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_890]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4844,plain,
% 152.56/153.37 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.56/153.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4843]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_887,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.56/153.37 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2838_2) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4837,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.56/153.37 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_887]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4838,plain,
% 152.56/153.37 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.37 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4837]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_884,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.56/153.37 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2839_2) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4831,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.56/153.37 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_884]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4832,plain,
% 152.56/153.37 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.37 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4831]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_881,plain,
% 152.56/153.37 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.56/153.37 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.56/153.37 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2840_2) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4825,plain,
% 152.56/153.37 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 152.56/153.37 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.56/153.37 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_881]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4826,plain,
% 152.56/153.37 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 152.56/153.37 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.37 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4825]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_878,plain,
% 152.56/153.37 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.56/153.37 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2841_2) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4819,plain,
% 152.56/153.37 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.56/153.37 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_878]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4820,plain,
% 152.56/153.37 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 152.56/153.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.56/153.37 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4819]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_874,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.56/153.37 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 152.56/153.37 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2851_3) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4811,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.56/153.37 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 152.56/153.37 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_874]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4812,plain,
% 152.56/153.37 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.56/153.37 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.56/153.37 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4811]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_870,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.56/153.37 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 152.56/153.37 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2852_3) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4803,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 152.56/153.37 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 152.56/153.37 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_870]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4804,plain,
% 152.56/153.37 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.56/153.37 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 152.56/153.37 | c_HOL_Ominus__class_Ominus(X3,X4,X0) != c_HOL_Ominus__class_Ominus(X1,X2,X0) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4803]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_866,plain,
% 152.56/153.37 ( c_lessequals(X0,X1,X2)
% 152.56/153.37 | ~ c_lessequals(X3,X4,X2)
% 152.56/153.37 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 152.56/153.37 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2853_3) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4795,plain,
% 152.56/153.37 ( c_lessequals(X0,X1,X2)
% 152.56/153.37 | ~ c_lessequals(X3,X4,X2)
% 152.56/153.37 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 152.56/153.37 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_866]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4796,plain,
% 152.56/153.37 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.56/153.37 | c_lessequals(X1,X2,X0)
% 152.56/153.37 | ~ c_lessequals(X3,X4,X0)
% 152.56/153.37 | c_HOL_Ominus__class_Ominus(X2,X1,X0) != c_HOL_Ominus__class_Ominus(X4,X3,X0) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4795]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_862,plain,
% 152.56/153.37 ( c_lessequals(X0,X1,X2)
% 152.56/153.37 | ~ c_lessequals(X3,X4,X2)
% 152.56/153.37 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 152.56/153.37 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2854_3) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4787,plain,
% 152.56/153.37 ( c_lessequals(X0,X1,X2)
% 152.56/153.37 | ~ c_lessequals(X3,X4,X2)
% 152.56/153.37 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 152.56/153.37 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_862]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4788,plain,
% 152.56/153.37 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.56/153.37 | c_lessequals(X1,X2,X0)
% 152.56/153.37 | ~ c_lessequals(X3,X4,X0)
% 152.56/153.37 | c_HOL_Ominus__class_Ominus(X4,X3,X0) != c_HOL_Ominus__class_Ominus(X2,X1,X0) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4787]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_860,plain,
% 152.56/153.37 ( 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)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2856_1) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4783,plain,
% 152.56/153.37 ( 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)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_860]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_858,plain,
% 152.56/153.37 ( 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)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2857_1) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4779,plain,
% 152.56/153.37 ( 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)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_858]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_856,plain,
% 152.56/153.37 ( 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))
% 152.56/153.37 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2858_1) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4775,plain,
% 152.56/153.37 ( 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))
% 152.56/153.37 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_856]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4776,plain,
% 152.56/153.37 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.56/153.37 | 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)) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4775]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_854,plain,
% 152.56/153.37 ( 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))
% 152.56/153.37 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2859_1) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4771,plain,
% 152.56/153.37 ( 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))
% 152.56/153.37 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_854]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4772,plain,
% 152.56/153.37 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.56/153.37 | 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)) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4771]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_852,plain,
% 152.56/153.37 ( 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))
% 152.56/153.37 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2860_1) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4767,plain,
% 152.56/153.37 ( 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))
% 152.56/153.37 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_852]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4768,plain,
% 152.56/153.37 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.56/153.37 | 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)) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4767]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_850,plain,
% 152.56/153.37 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.56/153.37 | ~ hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2861_1) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4763,plain,
% 152.56/153.37 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 152.56/153.37 | ~ hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_850]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_848,plain,
% 152.56/153.37 ( c_List_Olistsp(X0,X1,X2)
% 152.56/153.37 | ~ c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2864_1) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4759,plain,
% 152.56/153.37 ( c_List_Olistsp(X0,X1,X2)
% 152.56/153.37 | ~ c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_848]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4760,plain,
% 152.56/153.37 ( ~ c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 152.56/153.37 | c_List_Olistsp(X0,X2,X3) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4759]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_846,plain,
% 152.56/153.37 ( c_List_Olistsp(X0,X1,X2)
% 152.56/153.37 | ~ c_List_Olistsp(X0,c_List_Oappend(X1,X3,X2),X2) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2865_1) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4755,plain,
% 152.56/153.37 ( c_List_Olistsp(X0,X1,X2)
% 152.56/153.37 | ~ c_List_Olistsp(X0,c_List_Oappend(X1,X3,X2),X2) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_846]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4756,plain,
% 152.56/153.37 ( ~ c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3)
% 152.56/153.37 | c_List_Olistsp(X0,X1,X3) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4755]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_844,plain,
% 152.56/153.37 ( X0 = c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)
% 152.56/153.37 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2866_1) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4751,plain,
% 152.56/153.37 ( X0 = c_List_Oappend(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil(X2),X2),X2)
% 152.56/153.37 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_844]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4752,plain,
% 152.56/153.37 ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,X3,X1)
% 152.56/153.37 | X0 = c_List_Oappend(c_List_Orev(X3,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1),X1) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4751]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_840,plain,
% 152.56/153.37 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2868_1) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4743,plain,
% 152.56/153.37 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_840]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4744,plain,
% 152.56/153.37 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.56/153.37 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4743]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_838,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2869_1) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4739,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_838]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4740,plain,
% 152.56/153.37 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 152.56/153.37 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4739]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_836,plain,
% 152.56/153.37 ( c_Suc(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Int_Onumber__class_Onumber__of(X0,tc_nat)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2871_1) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4735,plain,
% 152.56/153.37 ( c_Suc(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Int_Onumber__class_Onumber__of(X0,tc_nat)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_836]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4736,plain,
% 152.56/153.37 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Int_Onumber__class_Onumber__of(X0,tc_nat),tc_nat)
% 152.56/153.37 | c_Suc(c_HOL_Ominus__class_Ominus(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = c_Int_Onumber__class_Onumber__of(X0,tc_nat) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4735]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_822,plain,
% 152.56/153.37 ( 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)
% 152.56/153.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.37 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2874_3) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4707,plain,
% 152.56/153.37 ( 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)
% 152.56/153.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.37 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_822]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4708,plain,
% 152.56/153.37 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 152.56/153.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.56/153.37 | 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) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4707]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_819,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.56/153.37 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2877_2) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4701,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.56/153.37 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_819]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4702,plain,
% 152.56/153.37 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.56/153.37 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,c_Suc(X2),X0),X0)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4701]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_816,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 152.56/153.37 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2878_2) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4695,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 152.56/153.37 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_816]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_814,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2879_1) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4691,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_814]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4692,plain,
% 152.56/153.37 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 152.56/153.37 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4691]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_808,plain,
% 152.56/153.37 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 152.56/153.37 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2881_1) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4679,plain,
% 152.56/153.37 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 152.56/153.37 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_808]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4680,plain,
% 152.56/153.37 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.56/153.37 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4679]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_805,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.37 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2883_2) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4673,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.37 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_805]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4674,plain,
% 152.56/153.37 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.56/153.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4673]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_802,plain,
% 152.56/153.37 ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.56/153.37 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.56/153.37 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2884_2) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4667,plain,
% 152.56/153.37 ( c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.56/153.37 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 152.56/153.37 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_802]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4668,plain,
% 152.56/153.37 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.56/153.37 | c_lessequals(c_HOL_Oone__class_Oone(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.56/153.37 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4667]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_799,plain,
% 152.56/153.37 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.56/153.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.37 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2885_2) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4661,plain,
% 152.56/153.37 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.56/153.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.37 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_799]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4662,plain,
% 152.56/153.37 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.56/153.37 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 152.56/153.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4661]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_796,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.37 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.56/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2886_2) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4655,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.56/153.37 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.56/153.37 inference(copy,[status(esa)],[c_796]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_4656,plain,
% 152.56/153.37 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 152.56/153.37 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.56/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.56/153.37 inference(rewriting,[status(thm)],[c_4655]) ).
% 152.56/153.37
% 152.56/153.37 cnf(c_793,plain,
% 152.56/153.37 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.37 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2887_2) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4649,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.37 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_793]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4650,plain,
% 152.58/153.37 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4649]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_790,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.37 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2888_2) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4643,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.37 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_790]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4644,plain,
% 152.58/153.37 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4643]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_787,plain,
% 152.58/153.37 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.37 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.37 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2889_2) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4637,plain,
% 152.58/153.37 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.37 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.37 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_787]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4638,plain,
% 152.58/153.37 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 152.58/153.37 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.37 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4637]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_784,plain,
% 152.58/153.37 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.58/153.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.58/153.37 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2890_2) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4631,plain,
% 152.58/153.37 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.58/153.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 152.58/153.37 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_784]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4632,plain,
% 152.58/153.37 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 152.58/153.37 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 152.58/153.37 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4631]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_781,plain,
% 152.58/153.37 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.58/153.37 | ~ c_lessequals(X0,X1,X2)
% 152.58/153.37 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2891_2) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4625,plain,
% 152.58/153.37 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.58/153.37 | ~ c_lessequals(X0,X1,X2)
% 152.58/153.37 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_781]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4626,plain,
% 152.58/153.37 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.58/153.37 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.37 | ~ c_lessequals(X1,X2,X0) ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4625]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_778,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.37 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2892_2) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4619,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.37 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_778]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4620,plain,
% 152.58/153.37 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4619]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_777,plain,
% 152.58/153.37 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1))
% 152.58/153.37 | ~ c_Type_Otyping(X2,X0,X3)
% 152.58/153.37 | c_Type_Otyping(X2,X1,X3) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2893_0) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4617,plain,
% 152.58/153.37 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1))
% 152.58/153.37 | ~ c_Type_Otyping(X2,X0,X3)
% 152.58/153.37 | c_Type_Otyping(X2,X1,X3) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_777]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_775,plain,
% 152.58/153.37 ( c_Type_Otyping(X0,X1,X2)
% 152.58/153.37 | ~ c_Type_Otyping(X0,X3,X2)
% 152.58/153.37 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X3),X1)) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2893_2) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4613,plain,
% 152.58/153.37 ( c_Type_Otyping(X0,X1,X2)
% 152.58/153.37 | ~ c_Type_Otyping(X0,X3,X2)
% 152.58/153.37 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X3),X1)) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_775]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4614,plain,
% 152.58/153.37 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1))
% 152.58/153.37 | c_Type_Otyping(X2,X1,X3)
% 152.58/153.37 | ~ c_Type_Otyping(X2,X0,X3) ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4613]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_773,plain,
% 152.58/153.37 ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = X1
% 152.58/153.37 | ~ class_Ring__and__Field_Osemiring__1(X2) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2894_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4609,plain,
% 152.58/153.37 ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = X1
% 152.58/153.37 | ~ class_Ring__and__Field_Osemiring__1(X2) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_773]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4610,plain,
% 152.58/153.37 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.58/153.37 | c_Nat_Osemiring__1__class_Oof__nat__aux(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2,X0) = X2 ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4609]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_771,plain,
% 152.58/153.37 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2895_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4605,plain,
% 152.58/153.37 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat))
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_771]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4606,plain,
% 152.58/153.37 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.37 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(c_HOL_Ominus__class_Ominus(X1,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4605]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_769,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2896_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4601,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_769]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4602,plain,
% 152.58/153.37 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.58/153.37 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4601]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_767,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2902_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4597,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_767]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_765,plain,
% 152.58/153.37 ( 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)
% 152.58/153.37 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2903_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4593,plain,
% 152.58/153.37 ( 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)
% 152.58/153.37 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_765]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4594,plain,
% 152.58/153.37 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.58/153.37 | 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) ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4593]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_763,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2904_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4589,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_763]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_761,plain,
% 152.58/153.37 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 152.58/153.37 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2908_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4585,plain,
% 152.58/153.37 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 152.58/153.37 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_761]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_759,plain,
% 152.58/153.37 ( 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)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2909_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4581,plain,
% 152.58/153.37 ( 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)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_759]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_757,plain,
% 152.58/153.37 ( 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)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2910_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4577,plain,
% 152.58/153.37 ( 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)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_757]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_756,plain,
% 152.58/153.37 ( ~ class_Orderings_Opreorder(X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2911_0) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4575,plain,
% 152.58/153.37 ( ~ class_Orderings_Opreorder(X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_756]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_755,plain,
% 152.58/153.37 ( ~ class_Orderings_Opreorder(X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2911_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4573,plain,
% 152.58/153.37 ( ~ class_Orderings_Opreorder(X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_755]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_753,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.58/153.37 | ~ class_Orderings_Opreorder(X2) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2911_3) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4569,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.58/153.37 | ~ class_Orderings_Opreorder(X2) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_753]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4570,plain,
% 152.58/153.37 ( ~ class_Orderings_Opreorder(X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4569]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_752,plain,
% 152.58/153.37 ( ~ class_Orderings_Oorder(X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2912_0) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4567,plain,
% 152.58/153.37 ( ~ class_Orderings_Oorder(X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_752]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_751,plain,
% 152.58/153.37 ( ~ class_Orderings_Oorder(X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2912_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4565,plain,
% 152.58/153.37 ( ~ class_Orderings_Oorder(X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_751]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_749,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.58/153.37 | ~ class_Orderings_Oorder(X2) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2912_3) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4561,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.58/153.37 | ~ class_Orderings_Oorder(X2) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_749]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4562,plain,
% 152.58/153.37 ( ~ class_Orderings_Oorder(X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4561]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_745,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.58/153.37 | ~ c_lessequals(X3,X1,X2)
% 152.58/153.37 | ~ class_Orderings_Opreorder(X2) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2913_3) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4553,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 152.58/153.37 | ~ c_lessequals(X3,X1,X2)
% 152.58/153.37 | ~ class_Orderings_Opreorder(X2) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_745]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4554,plain,
% 152.58/153.37 ( ~ class_Orderings_Opreorder(X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.58/153.37 | ~ c_lessequals(X3,X2,X0) ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4553]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_743,plain,
% 152.58/153.37 ( ~ class_Orderings_Opreorder(X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.58/153.37 | ~ c_lessequals(X3,X1,X0) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2914_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4549,plain,
% 152.58/153.37 ( ~ class_Orderings_Opreorder(X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.58/153.37 | ~ c_lessequals(X3,X1,X0) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_743]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_740,plain,
% 152.58/153.37 ( ~ class_Orderings_Opreorder(X0)
% 152.58/153.37 | ~ c_lessequals(X1,X2,X0)
% 152.58/153.37 | ~ c_lessequals(X3,X1,X0)
% 152.58/153.37 | c_lessequals(X3,X2,X0) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2915_0) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4543,plain,
% 152.58/153.37 ( ~ class_Orderings_Opreorder(X0)
% 152.58/153.37 | ~ c_lessequals(X1,X2,X0)
% 152.58/153.37 | ~ c_lessequals(X3,X1,X0)
% 152.58/153.37 | c_lessequals(X3,X2,X0) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_740]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_739,plain,
% 152.58/153.37 ( ~ class_Orderings_Opreorder(X0)
% 152.58/153.37 | ~ c_lessequals(X1,X2,X0)
% 152.58/153.37 | c_lessequals(X3,X2,X0)
% 152.58/153.37 | ~ c_lessequals(X3,X1,X0) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2915_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4541,plain,
% 152.58/153.37 ( ~ class_Orderings_Opreorder(X0)
% 152.58/153.37 | ~ c_lessequals(X1,X2,X0)
% 152.58/153.37 | c_lessequals(X3,X2,X0)
% 152.58/153.37 | ~ c_lessequals(X3,X1,X0) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_739]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_737,plain,
% 152.58/153.37 ( c_lessequals(X0,X1,X2)
% 152.58/153.37 | ~ c_lessequals(X0,X3,X2)
% 152.58/153.37 | ~ c_lessequals(X3,X1,X2)
% 152.58/153.37 | ~ class_Orderings_Opreorder(X2) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2915_3) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4537,plain,
% 152.58/153.37 ( c_lessequals(X0,X1,X2)
% 152.58/153.37 | ~ c_lessequals(X0,X3,X2)
% 152.58/153.37 | ~ c_lessequals(X3,X1,X2)
% 152.58/153.37 | ~ class_Orderings_Opreorder(X2) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_737]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4538,plain,
% 152.58/153.37 ( ~ class_Orderings_Opreorder(X0)
% 152.58/153.37 | c_lessequals(X1,X2,X0)
% 152.58/153.37 | ~ c_lessequals(X1,X3,X0)
% 152.58/153.37 | ~ c_lessequals(X3,X2,X0) ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4537]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_735,plain,
% 152.58/153.37 ( ~ class_Orderings_Oorder(X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.58/153.37 | ~ c_lessequals(X2,X3,X0) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2916_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4533,plain,
% 152.58/153.37 ( ~ class_Orderings_Oorder(X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 152.58/153.37 | ~ c_lessequals(X2,X3,X0) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_735]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_729,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.58/153.37 | ~ c_lessequals(X0,X3,X2)
% 152.58/153.37 | ~ class_Orderings_Oorder(X2) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2917_3) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4521,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 152.58/153.37 | ~ c_lessequals(X0,X3,X2)
% 152.58/153.37 | ~ class_Orderings_Oorder(X2) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_729]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4522,plain,
% 152.58/153.37 ( ~ class_Orderings_Oorder(X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 152.58/153.37 | ~ c_lessequals(X1,X3,X0) ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4521]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_728,plain,
% 152.58/153.37 ( ~ class_Orderings_Oorder(X0)
% 152.58/153.37 | ~ c_lessequals(X1,X2,X0)
% 152.58/153.37 | ~ c_lessequals(X2,X3,X0)
% 152.58/153.37 | c_lessequals(X1,X3,X0) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2918_0) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4519,plain,
% 152.58/153.37 ( ~ class_Orderings_Oorder(X0)
% 152.58/153.37 | ~ c_lessequals(X1,X2,X0)
% 152.58/153.37 | ~ c_lessequals(X2,X3,X0)
% 152.58/153.37 | c_lessequals(X1,X3,X0) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_728]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_727,plain,
% 152.58/153.37 ( ~ class_Orderings_Oorder(X0)
% 152.58/153.37 | ~ c_lessequals(X1,X2,X0)
% 152.58/153.37 | c_lessequals(X1,X3,X0)
% 152.58/153.37 | ~ c_lessequals(X2,X3,X0) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2918_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4517,plain,
% 152.58/153.37 ( ~ class_Orderings_Oorder(X0)
% 152.58/153.37 | ~ c_lessequals(X1,X2,X0)
% 152.58/153.37 | c_lessequals(X1,X3,X0)
% 152.58/153.37 | ~ c_lessequals(X2,X3,X0) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_727]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_725,plain,
% 152.58/153.37 ( c_lessequals(X0,X1,X2)
% 152.58/153.37 | ~ c_lessequals(X3,X1,X2)
% 152.58/153.37 | ~ c_lessequals(X0,X3,X2)
% 152.58/153.37 | ~ class_Orderings_Oorder(X2) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2918_3) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4513,plain,
% 152.58/153.37 ( c_lessequals(X0,X1,X2)
% 152.58/153.37 | ~ c_lessequals(X3,X1,X2)
% 152.58/153.37 | ~ c_lessequals(X0,X3,X2)
% 152.58/153.37 | ~ class_Orderings_Oorder(X2) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_725]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4514,plain,
% 152.58/153.37 ( ~ class_Orderings_Oorder(X0)
% 152.58/153.37 | c_lessequals(X1,X2,X0)
% 152.58/153.37 | ~ c_lessequals(X3,X2,X0)
% 152.58/153.37 | ~ c_lessequals(X1,X3,X0) ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4513]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_723,plain,
% 152.58/153.37 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X0)),c_Lambda_OdB_OAbs(X1)))
% 152.58/153.37 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1)) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2919_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4509,plain,
% 152.58/153.37 ( hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OAbs(X0)),c_Lambda_OdB_OAbs(X1)))
% 152.58/153.37 | ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,X0),X1)) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_723]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_720,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 152.58/153.37 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2920_2) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4503,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 152.58/153.37 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_720]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4504,plain,
% 152.58/153.37 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4503]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_716,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 152.58/153.37 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 152.58/153.37 | ~ class_Int_Onumber(X1)
% 152.58/153.37 | ~ class_Orderings_Olinorder(X1) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2921_3) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4495,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X0,X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
% 152.58/153.37 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X1),c_Int_Onumber__class_Onumber__of(X0,X1),X1)
% 152.58/153.37 | ~ class_Int_Onumber(X1)
% 152.58/153.37 | ~ class_Orderings_Olinorder(X1) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_716]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4496,plain,
% 152.58/153.37 ( ~ class_Orderings_Olinorder(X0)
% 152.58/153.37 | ~ class_Int_Onumber(X0)
% 152.58/153.37 | c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X0),c_Int_Onumber__class_Onumber__of(X2,X0),X0)
% 152.58/153.37 | c_lessequals(c_Int_Onumber__class_Onumber__of(X2,X0),c_Int_Onumber__class_Onumber__of(X1,X0),X0) ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4495]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_710,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2925_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4483,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_710]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_708,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2926_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4479,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_708]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_705,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2927_2) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4473,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_705]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_703,plain,
% 152.58/153.37 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2931_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4469,plain,
% 152.58/153.37 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_703]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4470,plain,
% 152.58/153.37 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.58/153.37 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4469]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_701,plain,
% 152.58/153.37 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 152.58/153.37 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2935_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4465,plain,
% 152.58/153.37 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_Olift,X0),X1)))
% 152.58/153.37 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_701]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_699,plain,
% 152.58/153.37 ( c_List_Otake(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil(X3)
% 152.58/153.37 | c_Int_Onumber__class_Onumber__of(X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2936_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4461,plain,
% 152.58/153.37 ( c_List_Otake(c_Int_Onumber__class_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil(X3)
% 152.58/153.37 | c_Int_Onumber__class_Onumber__of(X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_699]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_697,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.37 | 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)) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2937_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4457,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.37 | 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)) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_697]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_695,plain,
% 152.58/153.37 ( 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)
% 152.58/153.37 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2938_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4453,plain,
% 152.58/153.37 ( 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)
% 152.58/153.37 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_695]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4454,plain,
% 152.58/153.37 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.58/153.37 | 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) ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4453]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_693,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.37 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2939_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4449,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.37 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 152.58/153.37 inference(copy,[status(esa)],[c_693]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_689,plain,
% 152.58/153.37 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2941_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4441,plain,
% 152.58/153.37 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_689]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4442,plain,
% 152.58/153.37 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.58/153.37 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_HOL_Oone__class_Oone(tc_nat),tc_nat)) = X0 ),
% 152.58/153.37 inference(rewriting,[status(thm)],[c_4441]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_683,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.37 | 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))) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2943_1) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4429,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.37 | 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))) ),
% 152.58/153.37 inference(copy,[status(esa)],[c_683]) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_680,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 152.58/153.37 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.58/153.37 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2944_2) ).
% 152.58/153.37
% 152.58/153.37 cnf(c_4423,plain,
% 152.58/153.37 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.58/153.37 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 152.58/153.37 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_680]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4424,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.58/153.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4423]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_678,plain,
% 152.58/153.38 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2945_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4419,plain,
% 152.58/153.38 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_678]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4420,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.38 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X2),X1) = c_Lambda_OdB_OVar(X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4419]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_675,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.58/153.38 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2946_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4413,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 152.58/153.38 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_675]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4414,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.58/153.38 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4413]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_673,plain,
% 152.58/153.38 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.58/153.38 | X2 = X1 ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2949_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4409,plain,
% 152.58/153.38 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 152.58/153.38 | X2 = X1 ),
% 152.58/153.38 inference(copy,[status(esa)],[c_673]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_668,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.58/153.38 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2952_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4399,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.58/153.38 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_668]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4400,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 152.58/153.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4399]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_656,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | ~ c_lessequals(X1,X0,X2)
% 152.58/153.38 | ~ c_lessequals(X0,X1,X2)
% 152.58/153.38 | ~ class_Orderings_Oorder(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2955_3) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4375,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | ~ c_lessequals(X1,X0,X2)
% 152.58/153.38 | ~ c_lessequals(X0,X1,X2)
% 152.58/153.38 | ~ class_Orderings_Oorder(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_656]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4376,plain,
% 152.58/153.38 ( ~ class_Orderings_Oorder(X0)
% 152.58/153.38 | ~ c_lessequals(X1,X2,X0)
% 152.58/153.38 | ~ c_lessequals(X2,X1,X0)
% 152.58/153.38 | X2 = X1 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4375]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_658,plain,
% 152.58/153.38 ( ~ class_Orderings_Oorder(X0)
% 152.58/153.38 | ~ c_lessequals(X1,X2,X0)
% 152.58/153.38 | X1 = X2
% 152.58/153.38 | ~ c_lessequals(X2,X1,X0) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2955_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4379,plain,
% 152.58/153.38 ( ~ class_Orderings_Oorder(X0)
% 152.58/153.38 | ~ c_lessequals(X1,X2,X0)
% 152.58/153.38 | X1 = X2
% 152.58/153.38 | ~ c_lessequals(X2,X1,X0) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_658]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4380,plain,
% 152.58/153.38 ( ~ class_Orderings_Oorder(X0)
% 152.58/153.38 | ~ c_lessequals(X1,X2,X0)
% 152.58/153.38 | ~ c_lessequals(X2,X1,X0)
% 152.58/153.38 | X1 = X2 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4379]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_652,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 152.58/153.38 | ~ class_Int_Onumber__ring(X2)
% 152.58/153.38 | ~ class_Ring__and__Field_Oidom(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2956_3) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4367,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 152.58/153.38 | ~ class_Int_Onumber__ring(X2)
% 152.58/153.38 | ~ class_Ring__and__Field_Oidom(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_652]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4368,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.58/153.38 | ~ class_Int_Onumber__ring(X0)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 152.58/153.38 | X2 = X3 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4367]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_649,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 152.58/153.38 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2957_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4361,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 152.58/153.38 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_649]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4362,plain,
% 152.58/153.38 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.58/153.38 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 152.58/153.38 | X2 = X3 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4361]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_646,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 152.58/153.38 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2958_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4355,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 152.58/153.38 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_646]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4356,plain,
% 152.58/153.38 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.58/153.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 152.58/153.38 | X1 = X2 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4355]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_636,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.58/153.38 | ~ class_Orderings_Opreorder(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2961_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4335,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.58/153.38 | ~ class_Orderings_Opreorder(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_636]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4336,plain,
% 152.58/153.38 ( ~ class_Orderings_Opreorder(X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4335]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_633,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.58/153.38 | ~ class_Orderings_Olinorder(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2962_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4329,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.58/153.38 | ~ class_Orderings_Olinorder(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_633]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4330,plain,
% 152.58/153.38 ( ~ class_Orderings_Olinorder(X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4329]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_630,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.58/153.38 | ~ class_Orderings_Oorder(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2963_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4323,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.58/153.38 | ~ class_Orderings_Oorder(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_630]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4324,plain,
% 152.58/153.38 ( ~ class_Orderings_Oorder(X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4323]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_627,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.38 | ~ c_lessequals(X1,X0,X2)
% 152.58/153.38 | ~ class_Orderings_Opreorder(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2964_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4317,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.38 | ~ c_lessequals(X1,X0,X2)
% 152.58/153.38 | ~ class_Orderings_Opreorder(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_627]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4318,plain,
% 152.58/153.38 ( ~ class_Orderings_Opreorder(X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.38 | ~ c_lessequals(X2,X1,X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4317]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_621,plain,
% 152.58/153.38 ( ~ c_lessequals(X0,X1,X2)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.58/153.38 | ~ class_Orderings_Olinorder(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2966_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4305,plain,
% 152.58/153.38 ( ~ c_lessequals(X0,X1,X2)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.58/153.38 | ~ class_Orderings_Olinorder(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_621]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4306,plain,
% 152.58/153.38 ( ~ class_Orderings_Olinorder(X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.38 | ~ c_lessequals(X2,X1,X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4305]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_616,plain,
% 152.58/153.38 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 152.58/153.38 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2968_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4295,plain,
% 152.58/153.38 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 152.58/153.38 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_616]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4296,plain,
% 152.58/153.38 ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1)
% 152.58/153.38 | X0 = c_List_Olist_OCons(X2,c_List_Olist_ONil(X1),X1) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4295]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_614,plain,
% 152.58/153.38 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 152.58/153.38 | c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) != c_List_Orev(X0,X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2969_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4291,plain,
% 152.58/153.38 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2)
% 152.58/153.38 | c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2) != c_List_Orev(X0,X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_614]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4292,plain,
% 152.58/153.38 ( c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1) != c_List_Orev(X2,X1)
% 152.58/153.38 | X2 = c_List_Olist_OCons(X0,c_List_Olist_ONil(X1),X1) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4291]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_612,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2970_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4287,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_612]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_610,plain,
% 152.58/153.38 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | X1 = X0
% 152.58/153.38 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2971_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4283,plain,
% 152.58/153.38 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | X1 = X0
% 152.58/153.38 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_610]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4284,plain,
% 152.58/153.38 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | X1 = X0 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4283]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_607,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 152.58/153.38 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2972_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4277,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 152.58/153.38 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_607]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4278,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4277]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_605,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2973_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4273,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_605]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4274,plain,
% 152.58/153.38 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 152.58/153.38 | X1 = X4 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4273]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_603,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2974_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4269,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_603]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4270,plain,
% 152.58/153.38 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 152.58/153.38 | X0 = X3 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4269]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_600,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 152.58/153.38 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2975_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4263,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 152.58/153.38 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_600]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4264,plain,
% 152.58/153.38 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 152.58/153.38 | X1 = X3 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4263]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_597,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 152.58/153.38 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2976_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4257,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 152.58/153.38 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_597]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4258,plain,
% 152.58/153.38 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 152.58/153.38 | X2 = X3 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4257]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_594,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 152.58/153.38 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2977_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4251,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 152.58/153.38 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_594]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4252,plain,
% 152.58/153.38 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 152.58/153.38 | X2 = X3 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4251]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_592,plain,
% 152.58/153.38 ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2978_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4247,plain,
% 152.58/153.38 ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_592]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4248,plain,
% 152.58/153.38 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X0,X3,X2) | X1 = X3 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4247]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_590,plain,
% 152.58/153.38 ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2979_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4243,plain,
% 152.58/153.38 ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_590]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4244,plain,
% 152.58/153.38 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X3,X1,X2) | X0 = X3 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4243]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_588,plain,
% 152.58/153.38 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2980_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4239,plain,
% 152.58/153.38 ( c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_588]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4240,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 152.58/153.38 | c_Lambda_Osubstn(c_Lambda_OdB_OVar(X0),X1,X0) = c_Lambda_Oliftn(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4239]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_583,plain,
% 152.58/153.38 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 152.58/153.38 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2983_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4229,plain,
% 152.58/153.38 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 152.58/153.38 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_583]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4230,plain,
% 152.58/153.38 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.58/153.38 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4229]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_581,plain,
% 152.58/153.38 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 152.58/153.38 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2984_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4225,plain,
% 152.58/153.38 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 152.58/153.38 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_581]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4226,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 152.58/153.38 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4225]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_579,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2987_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4221,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_579]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4222,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4221]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_539,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2999_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4141,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_539]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_533,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.38 | X1 = X0
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3001_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4129,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.38 | X1 = X0
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_533]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4130,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.38 | X1 = X0 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4129]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_530,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.38 | X0 = X1
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3002_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4123,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.38 | X0 = X1
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_530]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4124,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.38 | X0 = X1 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4123]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_525,plain,
% 152.58/153.38 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3004_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4113,plain,
% 152.58/153.38 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_525]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4114,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.38 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4113]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_522,plain,
% 152.58/153.38 ( c_lessequals(X0,X1,X2)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.38 | ~ class_Orderings_Oorder(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3005_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4107,plain,
% 152.58/153.38 ( c_lessequals(X0,X1,X2)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.38 | ~ class_Orderings_Oorder(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_522]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4108,plain,
% 152.58/153.38 ( ~ class_Orderings_Oorder(X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.38 | c_lessequals(X1,X2,X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4107]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_519,plain,
% 152.58/153.38 ( c_lessequals(X0,X1,X2)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.38 | ~ class_Orderings_Opreorder(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3006_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4101,plain,
% 152.58/153.38 ( c_lessequals(X0,X1,X2)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.38 | ~ class_Orderings_Opreorder(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_519]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4102,plain,
% 152.58/153.38 ( ~ class_Orderings_Opreorder(X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.38 | c_lessequals(X1,X2,X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4101]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_515,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3008_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4093,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_515]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4094,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 152.58/153.38 | X0 = X2 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4093]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_513,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3009_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4089,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_513]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4090,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 152.58/153.38 | X1 = X2 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4089]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_511,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3010_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4085,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_511]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4086,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4085]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_509,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.58/153.38 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3016_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4081,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 152.58/153.38 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_509]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4082,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4081]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_507,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3017_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4077,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_507]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_505,plain,
% 152.58/153.38 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3018_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4073,plain,
% 152.58/153.38 ( hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_505]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4074,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.38 | hAPP(hAPP(c_Lambda_Olift,c_Lambda_OdB_OVar(X0)),X1) = c_Lambda_OdB_OVar(X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4073]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_503,plain,
% 152.58/153.38 ( hAPP(hAPP(X0,X1),X2) = X2 | ~ c_OrderedGroup_Omonoid__add(X1,X0,X3) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3019_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4069,plain,
% 152.58/153.38 ( hAPP(hAPP(X0,X1),X2) = X2 | ~ c_OrderedGroup_Omonoid__add(X1,X0,X3) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_503]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4070,plain,
% 152.58/153.38 ( ~ c_OrderedGroup_Omonoid__add(X0,X1,X2) | hAPP(hAPP(X1,X0),X3) = X3 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4069]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_501,plain,
% 152.58/153.38 ( hAPP(hAPP(X0,X1),X2) = X1 | ~ c_OrderedGroup_Omonoid__add(X2,X0,X3) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3020_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4065,plain,
% 152.58/153.38 ( hAPP(hAPP(X0,X1),X2) = X1 | ~ c_OrderedGroup_Omonoid__add(X2,X0,X3) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_501]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4066,plain,
% 152.58/153.38 ( ~ c_OrderedGroup_Omonoid__add(X0,X1,X2) | hAPP(hAPP(X1,X3),X0) = X3 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4065]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_474,plain,
% 152.58/153.38 ( ~ class_Orderings_Olinorder(X0)
% 152.58/153.38 | X1 = X2
% 152.58/153.38 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3028_0) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4011,plain,
% 152.58/153.38 ( ~ class_Orderings_Olinorder(X0)
% 152.58/153.38 | X1 = X2
% 152.58/153.38 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_474]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4012,plain,
% 152.58/153.38 ( ~ class_Orderings_Olinorder(X0)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.58/153.38 | X2 = X1 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4011]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_471,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.58/153.38 | X0 = X1
% 152.58/153.38 | ~ class_Orderings_Olinorder(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3028_3) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4005,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.58/153.38 | X0 = X1
% 152.58/153.38 | ~ class_Orderings_Olinorder(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_471]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4006,plain,
% 152.58/153.38 ( ~ class_Orderings_Olinorder(X0)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.58/153.38 | X1 = X2 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4005]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_469,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.38 | X2 = X1
% 152.58/153.38 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3029_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4001,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.38 | X2 = X1
% 152.58/153.38 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_469]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_4002,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 152.58/153.38 | X2 = X1 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_4001]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_465,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3030_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3993,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_465]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3994,plain,
% 152.58/153.38 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 152.58/153.38 | X1 = X3 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3993]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_463,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3031_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3989,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_463]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3990,plain,
% 152.58/153.38 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 152.58/153.38 | X0 = X2 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3989]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_461,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0)
% 152.58/153.38 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3033_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3985,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0)
% 152.58/153.38 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_461]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3986,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3985]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_452,plain,
% 152.58/153.38 ( c_lessequals(X0,X0,X1)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 152.58/153.38 | ~ class_Orderings_Olinorder(X1) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3036_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3967,plain,
% 152.58/153.38 ( c_lessequals(X0,X0,X1)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 152.58/153.38 | ~ class_Orderings_Olinorder(X1) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_452]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3968,plain,
% 152.58/153.38 ( ~ class_Orderings_Olinorder(X0)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 152.58/153.38 | c_lessequals(X1,X1,X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3967]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_449,plain,
% 152.58/153.38 ( c_lessequals(X0,X1,X2)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.58/153.38 | ~ class_Orderings_Olinorder(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3037_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3961,plain,
% 152.58/153.38 ( c_lessequals(X0,X1,X2)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 152.58/153.38 | ~ class_Orderings_Olinorder(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_449]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3962,plain,
% 152.58/153.38 ( ~ class_Orderings_Olinorder(X0)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 152.58/153.38 | c_lessequals(X2,X1,X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3961]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_446,plain,
% 152.58/153.38 ( c_lessequals(X0,X1,X2)
% 152.58/153.38 | c_lessequals(X1,X0,X2)
% 152.58/153.38 | ~ class_Orderings_Olinorder(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3038_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3955,plain,
% 152.58/153.38 ( c_lessequals(X0,X1,X2)
% 152.58/153.38 | c_lessequals(X1,X0,X2)
% 152.58/153.38 | ~ class_Orderings_Olinorder(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_446]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3956,plain,
% 152.58/153.38 ( ~ class_Orderings_Olinorder(X0)
% 152.58/153.38 | c_lessequals(X1,X2,X0)
% 152.58/153.38 | c_lessequals(X2,X1,X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3955]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_444,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3039_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3951,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_444]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3952,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3951]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_440,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.38 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3041_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3943,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.38 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_440]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3944,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3943]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_438,plain,
% 152.58/153.38 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.38 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3042_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3939,plain,
% 152.58/153.38 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 152.58/153.38 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_438]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3940,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.58/153.38 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3939]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_434,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 152.58/153.38 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3044_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3931,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 152.58/153.38 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_434]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3932,plain,
% 152.58/153.38 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3931]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_432,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 152.58/153.38 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3045_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3927,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 152.58/153.38 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_432]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3928,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3927]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_430,plain,
% 152.58/153.38 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3047_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3923,plain,
% 152.58/153.38 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_430]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3924,plain,
% 152.58/153.38 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3923]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_425,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.38 | X1 = X0
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3050_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3913,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.38 | X1 = X0
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_425]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3914,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 152.58/153.38 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 152.58/153.38 | X1 = X0 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3913]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_420,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.58/153.38 | ~ class_Int_Onumber__ring(X2)
% 152.58/153.38 | ~ class_Ring__and__Field_Oidom(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3051_3) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3903,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.58/153.38 | ~ class_Int_Onumber__ring(X2)
% 152.58/153.38 | ~ class_Ring__and__Field_Oidom(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_420]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3904,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.58/153.38 | ~ class_Int_Onumber__ring(X0)
% 152.58/153.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.58/153.38 | X1 = X2 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3903]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_418,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3052_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3899,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_418]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3900,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 152.58/153.38 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3899]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_415,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.58/153.38 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.58/153.38 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3053_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3893,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.58/153.38 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 152.58/153.38 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_415]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3894,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 152.58/153.38 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.58/153.38 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3893]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_411,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 152.58/153.38 | ~ class_Int_Onumber__ring(X1)
% 152.58/153.38 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3054_3) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3885,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 152.58/153.38 | ~ class_Int_Onumber__ring(X1)
% 152.58/153.38 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_411]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3886,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.58/153.38 | ~ class_Int_Onumber__ring(X0)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 152.58/153.38 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3885]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_408,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.58/153.38 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3055_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3879,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.58/153.38 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_408]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3880,plain,
% 152.58/153.38 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.58/153.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.58/153.38 | X1 = X2 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3879]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_405,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.58/153.38 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3056_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3873,plain,
% 152.58/153.38 ( X0 = X1
% 152.58/153.38 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 152.58/153.38 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_405]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3874,plain,
% 152.58/153.38 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.58/153.38 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.58/153.38 | X1 = X2 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3873]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_402,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | X1 = c_List_Olist_ONil(X2)
% 152.58/153.38 | c_List_Otake(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3057_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3867,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | X1 = c_List_Olist_ONil(X2)
% 152.58/153.38 | c_List_Otake(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_402]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3868,plain,
% 152.58/153.38 ( c_List_Otake(X0,X1,X2) != c_List_Olist_ONil(X2)
% 152.58/153.38 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | X1 = c_List_Olist_ONil(X2) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3867]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_399,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 152.58/153.38 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3058_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3861,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 152.58/153.38 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_399]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3862,plain,
% 152.58/153.38 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 152.58/153.38 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3861]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_395,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3060_0) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3853,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_395]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_393,plain,
% 152.58/153.38 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3060_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3849,plain,
% 152.58/153.38 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_393]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3850,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3849]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_387,plain,
% 152.58/153.38 ( X0 = c_List_Olist_ONil(X1)
% 152.58/153.38 | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3063_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3837,plain,
% 152.58/153.38 ( X0 = c_List_Olist_ONil(X1)
% 152.58/153.38 | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_387]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3838,plain,
% 152.58/153.38 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 152.58/153.38 | X1 = c_List_Olist_ONil(X2) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3837]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_385,plain,
% 152.58/153.38 ( X0 = c_List_Olist_ONil(X1)
% 152.58/153.38 | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3064_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3833,plain,
% 152.58/153.38 ( X0 = c_List_Olist_ONil(X1)
% 152.58/153.38 | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_385]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3834,plain,
% 152.58/153.38 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 152.58/153.38 | X0 = c_List_Olist_ONil(X2) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3833]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_370,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3068_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3803,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_370]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3804,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3803]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_367,plain,
% 152.58/153.38 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3069_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3797,plain,
% 152.58/153.38 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_367]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3798,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3797]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_363,plain,
% 152.58/153.38 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 152.58/153.38 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3071_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3789,plain,
% 152.58/153.38 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 152.58/153.38 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_363]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3790,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.58/153.38 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3789]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_361,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3072_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3785,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_361]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3786,plain,
% 152.58/153.38 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3785]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_359,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3073_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3781,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_359]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3782,plain,
% 152.58/153.38 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3781]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_357,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3074_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3777,plain,
% 152.58/153.38 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_357]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3778,plain,
% 152.58/153.38 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3777]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_353,plain,
% 152.58/153.38 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3077_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3769,plain,
% 152.58/153.38 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 152.58/153.38 inference(copy,[status(esa)],[c_353]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3770,plain,
% 152.58/153.38 ( c_List_Oappend(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil(X2) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3769]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_349,plain,
% 152.58/153.38 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3079_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3761,plain,
% 152.58/153.38 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 152.58/153.38 inference(copy,[status(esa)],[c_349]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3762,plain,
% 152.58/153.38 ( c_List_Oappend(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil(X2) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3761]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_345,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3085_0) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3753,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_345]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_343,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3085_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3749,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_343]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3750,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 152.58/153.38 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3749]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_341,plain,
% 152.58/153.38 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3088_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3745,plain,
% 152.58/153.38 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_341]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3746,plain,
% 152.58/153.38 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3745]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_338,plain,
% 152.58/153.38 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.58/153.38 | ~ class_Power_Opower(X0)
% 152.58/153.38 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3092_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3739,plain,
% 152.58/153.38 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.58/153.38 | ~ class_Power_Opower(X0)
% 152.58/153.38 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_338]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3740,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 152.58/153.38 | ~ class_Power_Opower(X0)
% 152.58/153.38 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3739]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_334,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.58/153.38 | ~ class_Power_Opower(X1)
% 152.58/153.38 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3095_3) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3731,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.58/153.38 | ~ class_Power_Opower(X1)
% 152.58/153.38 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_334]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3732,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 152.58/153.38 | ~ class_Power_Opower(X0)
% 152.58/153.38 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.58/153.38 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3731]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_332,plain,
% 152.58/153.38 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 152.58/153.38 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3096_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3727,plain,
% 152.58/153.38 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 152.58/153.38 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_332]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_329,plain,
% 152.58/153.38 ( 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)
% 152.58/153.38 | ~ class_Power_Opower(X0)
% 152.58/153.38 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3097_2) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3721,plain,
% 152.58/153.38 ( 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)
% 152.58/153.38 | ~ class_Power_Opower(X0)
% 152.58/153.38 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_329]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3722,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 152.58/153.38 | ~ class_Power_Opower(X0)
% 152.58/153.38 | 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) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3721]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_327,plain,
% 152.58/153.38 ( 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)
% 152.58/153.38 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3098_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3717,plain,
% 152.58/153.38 ( 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)
% 152.58/153.38 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_327]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3718,plain,
% 152.58/153.38 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 152.58/153.38 | 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) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3717]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_325,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3102_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3713,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_325]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3714,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3713]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_323,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3103_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3709,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_323]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3710,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3709]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_319,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3105_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3701,plain,
% 152.58/153.38 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 152.58/153.38 inference(copy,[status(esa)],[c_319]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3702,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 152.58/153.38 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3701]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_317,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 152.58/153.38 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3106_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3697,plain,
% 152.58/153.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 152.58/153.38 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_317]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3698,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.58/153.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3697]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_315,plain,
% 152.58/153.38 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 152.58/153.38 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3107_1) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3693,plain,
% 152.58/153.38 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 152.58/153.38 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 152.58/153.38 inference(copy,[status(esa)],[c_315]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_3694,plain,
% 152.58/153.38 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 152.58/153.38 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 152.58/153.38 inference(rewriting,[status(thm)],[c_3693]) ).
% 152.58/153.38
% 152.58/153.38 cnf(c_312,plain,
% 152.58/153.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.58/153.38 | ~ class_Int_Onumber__ring(X0)
% 152.58/153.38 | ~ class_Ring__and__Field_Oidom(X0) ),
% 152.58/153.38 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3108_2) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3687,plain,
% 152.58/153.39 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.58/153.39 | ~ class_Int_Onumber__ring(X0)
% 152.58/153.39 | ~ class_Ring__and__Field_Oidom(X0) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_312]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3688,plain,
% 152.58/153.39 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.58/153.39 | ~ class_Int_Onumber__ring(X0)
% 152.58/153.39 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3687]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_309,plain,
% 152.58/153.39 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.58/153.39 | ~ class_Int_Onumber__ring(X1)
% 152.58/153.39 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3109_2) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3681,plain,
% 152.58/153.39 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.58/153.39 | ~ class_Int_Onumber__ring(X1)
% 152.58/153.39 | ~ class_Ring__and__Field_Oidom(X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_309]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3682,plain,
% 152.58/153.39 ( ~ class_Ring__and__Field_Oidom(X0)
% 152.58/153.39 | ~ class_Int_Onumber__ring(X0)
% 152.58/153.39 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3681]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_305,plain,
% 152.58/153.39 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 152.58/153.39 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3111_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3673,plain,
% 152.58/153.39 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 152.58/153.39 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_305]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3674,plain,
% 152.58/153.39 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 152.58/153.39 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3673]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_303,plain,
% 152.58/153.39 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 152.58/153.39 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3112_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3669,plain,
% 152.58/153.39 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 152.58/153.39 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_303]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3670,plain,
% 152.58/153.39 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.58/153.39 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3669]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_301,plain,
% 152.58/153.39 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 152.58/153.39 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3113_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3665,plain,
% 152.58/153.39 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 152.58/153.39 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_301]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3666,plain,
% 152.58/153.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.58/153.39 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3665]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_299,plain,
% 152.58/153.39 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 152.58/153.39 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3114_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3661,plain,
% 152.58/153.39 ( c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0)
% 152.58/153.39 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_299]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3662,plain,
% 152.58/153.39 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 152.58/153.39 | c_Power_Opower__class_Opower(c_HOL_Oone__class_Oone(X0),X1,X0) = c_HOL_Oone__class_Oone(X0) ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3661]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_297,plain,
% 152.58/153.39 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 152.58/153.39 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3119_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3657,plain,
% 152.58/153.39 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 152.58/153.39 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_297]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3658,plain,
% 152.58/153.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.58/153.39 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3657]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_295,plain,
% 152.58/153.39 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 152.58/153.39 | ~ class_Power_Opower(X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3120_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3653,plain,
% 152.58/153.39 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) = c_HOL_Oone__class_Oone(X1)
% 152.58/153.39 | ~ class_Power_Opower(X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_295]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3654,plain,
% 152.58/153.39 ( ~ class_Power_Opower(X0)
% 152.58/153.39 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3653]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_293,plain,
% 152.58/153.39 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.58/153.39 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3121_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3649,plain,
% 152.58/153.39 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 152.58/153.39 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_293]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3650,plain,
% 152.58/153.39 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.58/153.39 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3649]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_291,plain,
% 152.58/153.39 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.58/153.39 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3123_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3645,plain,
% 152.58/153.39 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.58/153.39 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_291]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3646,plain,
% 152.58/153.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.58/153.39 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3645]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_289,plain,
% 152.58/153.39 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.58/153.39 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3124_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3641,plain,
% 152.58/153.39 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.58/153.39 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_289]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3642,plain,
% 152.58/153.39 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 152.58/153.39 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3641]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_287,plain,
% 152.58/153.39 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.58/153.39 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3125_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3637,plain,
% 152.58/153.39 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 152.58/153.39 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_287]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3638,plain,
% 152.58/153.39 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 152.58/153.39 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3637]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_285,plain,
% 152.58/153.39 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 152.58/153.39 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3126_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3633,plain,
% 152.58/153.39 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 152.58/153.39 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_285]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3634,plain,
% 152.58/153.39 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 152.58/153.39 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3633]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_283,plain,
% 152.58/153.39 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 152.58/153.39 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3127_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3629,plain,
% 152.58/153.39 ( c_Power_Opower__class_Opower(X0,c_HOL_Oone__class_Oone(tc_nat),X1) = X0
% 152.58/153.39 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_283]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3630,plain,
% 152.58/153.39 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 152.58/153.39 | c_Power_Opower__class_Opower(X1,c_HOL_Oone__class_Oone(tc_nat),X0) = X1 ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3629]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_281,plain,
% 152.58/153.39 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.58/153.39 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3128_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3625,plain,
% 152.58/153.39 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.58/153.39 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_281]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3626,plain,
% 152.58/153.39 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 152.58/153.39 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3625]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_277,plain,
% 152.58/153.39 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.58/153.39 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3130_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3617,plain,
% 152.58/153.39 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 152.58/153.39 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_277]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3618,plain,
% 152.58/153.39 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 152.58/153.39 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3617]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_275,plain,
% 152.58/153.39 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3139_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3613,plain,
% 152.58/153.39 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_275]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3614,plain,
% 152.58/153.39 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3613]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_273,plain,
% 152.58/153.39 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3140_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3609,plain,
% 152.58/153.39 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_273]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3610,plain,
% 152.58/153.39 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3609]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_269,plain,
% 152.58/153.39 ( X0 = X1
% 152.58/153.39 | c_Int_Onumber__class_Onumber__of(X0,X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
% 152.58/153.39 | ~ class_Int_Onumber__ring(X2)
% 152.58/153.39 | ~ class_Int_Oring__char__0(X2) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3148_3) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3601,plain,
% 152.58/153.39 ( X0 = X1
% 152.58/153.39 | c_Int_Onumber__class_Onumber__of(X0,X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
% 152.58/153.39 | ~ class_Int_Onumber__ring(X2)
% 152.58/153.39 | ~ class_Int_Oring__char__0(X2) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_269]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3602,plain,
% 152.58/153.39 ( ~ class_Int_Oring__char__0(X0)
% 152.58/153.39 | ~ class_Int_Onumber__ring(X0)
% 152.58/153.39 | c_Int_Onumber__class_Onumber__of(X1,X0) != c_Int_Onumber__class_Onumber__of(X2,X0)
% 152.58/153.39 | X1 = X2 ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3601]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_267,plain,
% 152.58/153.39 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3149_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3597,plain,
% 152.58/153.39 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 152.58/153.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_267]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3598,plain,
% 152.58/153.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 152.58/153.39 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3597]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_264,plain,
% 152.58/153.39 ( X0 = X1
% 152.58/153.39 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 152.58/153.39 | ~ class_Nat_Osemiring__char__0(X2) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3160_2) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3591,plain,
% 152.58/153.39 ( X0 = X1
% 152.58/153.39 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 152.58/153.39 | ~ class_Nat_Osemiring__char__0(X2) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_264]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3592,plain,
% 152.58/153.39 ( ~ class_Nat_Osemiring__char__0(X0)
% 152.58/153.39 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 152.58/153.39 | X1 = X2 ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3591]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_262,plain,
% 152.58/153.39 ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3165_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3587,plain,
% 152.58/153.39 ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_262]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3588,plain,
% 152.58/153.39 ( c_List_Orev(X0,X1) != c_List_Orev(X2,X1) | X0 = X2 ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3587]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_260,plain,
% 152.58/153.39 ( X0 = X1 | c_Type_Otype_OFun(X0,X2) != c_Type_Otype_OFun(X1,X3) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3166_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3583,plain,
% 152.58/153.39 ( X0 = X1 | c_Type_Otype_OFun(X0,X2) != c_Type_Otype_OFun(X1,X3) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_260]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3584,plain,
% 152.58/153.39 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X0 = X2 ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3583]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_258,plain,
% 152.58/153.39 ( X0 = X1 | c_Type_Otype_OFun(X2,X0) != c_Type_Otype_OFun(X3,X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3167_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3579,plain,
% 152.58/153.39 ( X0 = X1 | c_Type_Otype_OFun(X2,X0) != c_Type_Otype_OFun(X3,X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_258]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3580,plain,
% 152.58/153.39 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X1 = X3 ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3579]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_256,plain,
% 152.58/153.39 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3172_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3575,plain,
% 152.58/153.39 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_256]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_254,plain,
% 152.58/153.39 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 152.58/153.39 | ~ class_Orderings_Opreorder(X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3173_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3571,plain,
% 152.58/153.39 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 152.58/153.39 | ~ class_Orderings_Opreorder(X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_254]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_250,plain,
% 152.58/153.39 ( X0 = c_List_Olist_ONil(X1)
% 152.58/153.39 | c_List_Orev(X0,X1) != c_List_Olist_ONil(X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3175_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3563,plain,
% 152.58/153.39 ( X0 = c_List_Olist_ONil(X1)
% 152.58/153.39 | c_List_Orev(X0,X1) != c_List_Olist_ONil(X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_250]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3564,plain,
% 152.58/153.39 ( c_List_Orev(X0,X1) != c_List_Olist_ONil(X1)
% 152.58/153.39 | X0 = c_List_Olist_ONil(X1) ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3563]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_248,plain,
% 152.58/153.39 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.58/153.39 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3176_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3559,plain,
% 152.58/153.39 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 152.58/153.39 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_248]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3560,plain,
% 152.58/153.39 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.58/153.39 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3559]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_246,plain,
% 152.58/153.39 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 152.58/153.39 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3177_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3555,plain,
% 152.58/153.39 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0)
% 152.58/153.39 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_246]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3556,plain,
% 152.58/153.39 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 152.58/153.39 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Oone__class_Oone(tc_nat),X0) = c_HOL_Oone__class_Oone(X0) ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3555]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_244,plain,
% 152.58/153.39 ( c_OrderedGroup_Osemigroup__add(c_HOL_Oplus__class_Oplus(X0),X0)
% 152.58/153.39 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3178_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3551,plain,
% 152.58/153.39 ( c_OrderedGroup_Osemigroup__add(c_HOL_Oplus__class_Oplus(X0),X0)
% 152.58/153.39 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_244]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3552,plain,
% 152.58/153.39 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 152.58/153.39 | c_OrderedGroup_Osemigroup__add(c_HOL_Oplus__class_Oplus(X0),X0) ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3551]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_240,plain,
% 152.58/153.39 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.58/153.39 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3185_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3543,plain,
% 152.58/153.39 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 152.58/153.39 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_240]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3544,plain,
% 152.58/153.39 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 152.58/153.39 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3543]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_238,plain,
% 152.58/153.39 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3186_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3539,plain,
% 152.58/153.39 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_238]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3540,plain,
% 152.58/153.39 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3539]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_236,plain,
% 152.58/153.39 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3187_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3535,plain,
% 152.58/153.39 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_236]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3536,plain,
% 152.58/153.39 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3535]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_232,plain,
% 152.58/153.39 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3189_1) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3527,plain,
% 152.58/153.39 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_232]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3528,plain,
% 152.58/153.39 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 152.58/153.39 inference(rewriting,[status(thm)],[c_3527]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_231,plain,
% 152.58/153.39 ( 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) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2654_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3525,plain,
% 152.58/153.39 ( 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) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_231]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_230,plain,
% 152.58/153.39 ( 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) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2672_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3523,plain,
% 152.58/153.39 ( 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) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_230]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_229,plain,
% 152.58/153.39 ( ~ c_ListOrder_Ostep1(X0,X1,c_List_Olist_ONil(X2),X2) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2791_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3521,plain,
% 152.58/153.39 ( ~ c_ListOrder_Ostep1(X0,X1,c_List_Olist_ONil(X2),X2) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_229]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_228,plain,
% 152.58/153.39 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_ONil(X1),X2,X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2792_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3519,plain,
% 152.58/153.39 ( ~ c_ListOrder_Ostep1(X0,c_List_Olist_ONil(X1),X2,X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_228]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_227,plain,
% 152.58/153.39 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2928_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3517,plain,
% 152.58/153.39 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_227]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_226,plain,
% 152.58/153.39 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2929_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3515,plain,
% 152.58/153.39 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_226]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_225,plain,
% 152.58/153.39 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X0)),X1)) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2986_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3513,plain,
% 152.58/153.39 ( ~ hBOOL(hAPP(hAPP(c_Lambda_Obeta,c_Lambda_OdB_OVar(X0)),X1)) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_225]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_224,plain,
% 152.58/153.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3075_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3511,plain,
% 152.58/153.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_224]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_221,plain,
% 152.58/153.39 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3082_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3505,plain,
% 152.58/153.39 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_221]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_219,plain,
% 152.58/153.39 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3087_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3501,plain,
% 152.58/153.39 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_219]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_217,plain,
% 152.58/153.39 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3090_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3497,plain,
% 152.58/153.39 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 152.58/153.39 inference(copy,[status(esa)],[c_217]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_215,plain,
% 152.58/153.39 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3094_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3493,plain,
% 152.58/153.39 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_215]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_214,plain,
% 152.58/153.39 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3132_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3491,plain,
% 152.58/153.39 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_214]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_213,plain,
% 152.58/153.39 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3133_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3489,plain,
% 152.58/153.39 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_213]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_212,plain,
% 152.58/153.39 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3134_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3487,plain,
% 152.58/153.39 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_212]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_211,plain,
% 152.58/153.39 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3135_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3485,plain,
% 152.58/153.39 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_211]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_210,plain,
% 152.58/153.39 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3190_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3483,plain,
% 152.58/153.39 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_210]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_209,plain,
% 152.58/153.39 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3191_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3481,plain,
% 152.58/153.39 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_209]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_207,plain,
% 152.58/153.39 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3194_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3477,plain,
% 152.58/153.39 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_207]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_205,plain,
% 152.58/153.39 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3196_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3473,plain,
% 152.58/153.39 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_205]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_203,plain,
% 152.58/153.39 ( c_Suc(X0) != X0 ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3199_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3469,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_203]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_168,plain,
% 152.58/153.39 ( 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)))) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2727_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3432,plain,
% 152.58/153.39 ( 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)))) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_168]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_140,plain,
% 152.58/153.39 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2862_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3403,plain,
% 152.58/153.39 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_140]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_135,plain,
% 152.58/153.39 ( 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)) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2882_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3397,plain,
% 152.58/153.39 ( 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)) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_135]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_128,plain,
% 152.58/153.39 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2906_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3388,plain,
% 152.58/153.39 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_128]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_127,plain,
% 152.58/153.39 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2907_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3386,plain,
% 152.58/153.39 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_127]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_118,plain,
% 152.58/153.39 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X2)) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2951_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3375,plain,
% 152.58/153.39 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X2)) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_118]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_116,plain,
% 152.58/153.39 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_2985_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3372,plain,
% 152.58/153.39 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_116]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_105,plain,
% 152.58/153.39 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3083_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3360,plain,
% 152.58/153.39 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_105]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_104,plain,
% 152.58/153.39 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3091_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3358,plain,
% 152.58/153.39 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_104]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_96,plain,
% 152.58/153.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3122_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3349,plain,
% 152.58/153.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_96]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_92,plain,
% 152.58/153.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3138_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3343,plain,
% 152.58/153.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_92]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_85,plain,
% 152.58/153.39 ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3147_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3335,plain,
% 152.58/153.39 ( c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_85]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_83,plain,
% 152.58/153.39 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3151_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3331,plain,
% 152.58/153.39 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_83]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_76,plain,
% 152.58/153.39 ( c_fequal(X0,X0,X1) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3158_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3323,plain,
% 152.58/153.39 ( c_fequal(X0,X0,X1) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_76]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_67,plain,
% 152.58/153.39 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3171_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3313,plain,
% 152.58/153.39 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_67]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_66,plain,
% 152.58/153.39 ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3179_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3311,plain,
% 152.58/153.39 ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_66]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_65,plain,
% 152.58/153.39 ( hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3180_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3309,plain,
% 152.58/153.39 ( hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_65]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_59,plain,
% 152.58/153.39 ( class_Int_Onumber(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3200_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3302,plain,
% 152.58/153.39 ( class_Int_Onumber(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_59]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_58,plain,
% 152.58/153.39 ( class_Power_Opower(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3201_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3300,plain,
% 152.58/153.39 ( class_Power_Opower(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_58]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_57,plain,
% 152.58/153.39 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3202_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3298,plain,
% 152.58/153.39 ( class_Int_Onumber__ring(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_57]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_56,plain,
% 152.58/153.39 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3203_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3296,plain,
% 152.58/153.39 ( class_Int_Oring__char__0(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_56]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_55,plain,
% 152.58/153.39 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3204_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3294,plain,
% 152.58/153.39 ( class_Orderings_Oorder(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_55]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_54,plain,
% 152.58/153.39 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3205_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3292,plain,
% 152.58/153.39 ( class_Orderings_Olinorder(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_54]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_53,plain,
% 152.58/153.39 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3206_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3290,plain,
% 152.58/153.39 ( class_Orderings_Opreorder(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_53]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_52,plain,
% 152.58/153.39 ( class_Nat_Osemiring__char__0(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3207_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3288,plain,
% 152.58/153.39 ( class_Nat_Osemiring__char__0(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_52]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_51,plain,
% 152.58/153.39 ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3208_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3286,plain,
% 152.58/153.39 ( class_Ring__and__Field_Oidom(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_51]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_50,plain,
% 152.58/153.39 ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3209_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3284,plain,
% 152.58/153.39 ( class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_50]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_49,plain,
% 152.58/153.39 ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3210_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3282,plain,
% 152.58/153.39 ( class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_49]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_48,plain,
% 152.58/153.39 ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3211_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3280,plain,
% 152.58/153.39 ( class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_48]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_47,plain,
% 152.58/153.39 ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3212_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3278,plain,
% 152.58/153.39 ( class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_47]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_46,plain,
% 152.58/153.39 ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3213_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3276,plain,
% 152.58/153.39 ( class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_46]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_45,plain,
% 152.58/153.39 ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3214_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3274,plain,
% 152.58/153.39 ( class_Ring__and__Field_Osemiring__0(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_45]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_44,plain,
% 152.58/153.39 ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3215_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3272,plain,
% 152.58/153.39 ( class_Ring__and__Field_Osemiring__1(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_44]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_43,plain,
% 152.58/153.39 ( class_OrderedGroup_Osemigroup__add(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3216_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3270,plain,
% 152.58/153.39 ( class_OrderedGroup_Osemigroup__add(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_43]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_42,plain,
% 152.58/153.39 ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3217_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3268,plain,
% 152.58/153.39 ( class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_42]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_41,plain,
% 152.58/153.39 ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3218_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3266,plain,
% 152.58/153.39 ( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_41]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_40,plain,
% 152.58/153.39 ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3219_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3264,plain,
% 152.58/153.39 ( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_40]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_39,plain,
% 152.58/153.39 ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3220_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3262,plain,
% 152.58/153.39 ( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_39]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_38,plain,
% 152.58/153.39 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3221_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3260,plain,
% 152.58/153.39 ( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_38]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_37,plain,
% 152.58/153.39 ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3222_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3258,plain,
% 152.58/153.39 ( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_37]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_36,plain,
% 152.58/153.39 ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3223_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3256,plain,
% 152.58/153.39 ( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_36]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_35,plain,
% 152.58/153.39 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3224_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3254,plain,
% 152.58/153.39 ( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_35]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_34,plain,
% 152.58/153.39 ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3225_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3252,plain,
% 152.58/153.39 ( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_34]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_33,plain,
% 152.58/153.39 ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3226_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3250,plain,
% 152.58/153.39 ( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_33]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_32,plain,
% 152.58/153.39 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3227_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3248,plain,
% 152.58/153.39 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_32]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_31,plain,
% 152.58/153.39 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3228_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3246,plain,
% 152.58/153.39 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_31]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_30,plain,
% 152.58/153.39 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3229_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3244,plain,
% 152.58/153.39 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_30]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_29,plain,
% 152.58/153.39 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3230_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3242,plain,
% 152.58/153.39 ( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_29]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_28,plain,
% 152.58/153.39 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3231_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3240,plain,
% 152.58/153.39 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_28]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_27,plain,
% 152.58/153.39 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3232_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3238,plain,
% 152.58/153.39 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_27]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_26,plain,
% 152.58/153.39 ( class_Orderings_Oorder(tc_bool) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3233_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3236,plain,
% 152.58/153.39 ( class_Orderings_Oorder(tc_bool) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_26]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_25,plain,
% 152.58/153.39 ( class_Orderings_Opreorder(tc_bool) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3234_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3234,plain,
% 152.58/153.39 ( class_Orderings_Opreorder(tc_bool) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_25]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_24,plain,
% 152.58/153.39 ( class_Int_Onumber(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3235_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3232,plain,
% 152.58/153.39 ( class_Int_Onumber(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_24]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_23,plain,
% 152.58/153.39 ( class_Power_Opower(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3236_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3230,plain,
% 152.58/153.39 ( class_Power_Opower(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_23]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_22,plain,
% 152.58/153.39 ( class_Orderings_Oorder(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3237_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3228,plain,
% 152.58/153.39 ( class_Orderings_Oorder(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_22]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_21,plain,
% 152.58/153.39 ( class_Orderings_Olinorder(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3238_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3226,plain,
% 152.58/153.39 ( class_Orderings_Olinorder(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_21]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_20,plain,
% 152.58/153.39 ( class_Orderings_Opreorder(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3239_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3224,plain,
% 152.58/153.39 ( class_Orderings_Opreorder(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_20]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_19,plain,
% 152.58/153.39 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3240_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3222,plain,
% 152.58/153.39 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_19]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_18,plain,
% 152.58/153.39 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3241_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3220,plain,
% 152.58/153.39 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_18]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_17,plain,
% 152.58/153.39 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3242_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3218,plain,
% 152.58/153.39 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_17]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_16,plain,
% 152.58/153.39 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3243_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3216,plain,
% 152.58/153.39 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_16]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_15,plain,
% 152.58/153.39 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3244_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3214,plain,
% 152.58/153.39 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_15]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_14,plain,
% 152.58/153.39 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3245_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3212,plain,
% 152.58/153.39 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_14]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_13,plain,
% 152.58/153.39 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3246_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3210,plain,
% 152.58/153.39 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_13]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_12,plain,
% 152.58/153.39 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3247_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3208,plain,
% 152.58/153.39 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_12]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_11,plain,
% 152.58/153.39 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3248_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3206,plain,
% 152.58/153.39 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_11]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_10,plain,
% 152.58/153.39 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3249_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3204,plain,
% 152.58/153.39 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_10]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_9,plain,
% 152.58/153.39 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3250_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3202,plain,
% 152.58/153.39 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_9]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_8,plain,
% 152.58/153.39 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3251_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3200,plain,
% 152.58/153.39 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_8]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_7,plain,
% 152.58/153.39 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3252_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3198,plain,
% 152.58/153.39 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_7]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_6,plain,
% 152.58/153.39 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3253_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3196,plain,
% 152.58/153.39 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_6]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_5,plain,
% 152.58/153.39 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3254_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3194,plain,
% 152.58/153.39 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_5]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_4,plain,
% 152.58/153.39 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3255_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3192,plain,
% 152.58/153.39 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_4]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3,plain,
% 152.58/153.39 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3256_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3190,plain,
% 152.58/153.39 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_3]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_2,plain,
% 152.58/153.39 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3257_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3188,plain,
% 152.58/153.39 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_2]) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_1,plain,
% 152.58/153.39 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 152.58/153.39 file('/export/starexec/sandbox/tmp/iprover_modulo_b45665.p', c_0_3258_0) ).
% 152.58/153.39
% 152.58/153.39 cnf(c_3186,plain,
% 152.58/153.39 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 152.58/153.39 inference(copy,[status(esa)],[c_1]) ).
% 152.58/153.39
% 152.58/153.39
% 152.58/153.39
% 152.58/153.39 % ------ Statistics
% 152.58/153.39
% 152.58/153.39 % ------ General
% 152.58/153.39
% 152.58/153.39 % num_of_input_clauses: 1379
% 152.58/153.39 % num_of_input_neg_conjectures: 1
% 152.58/153.39 % num_of_splits: 0
% 152.58/153.39 % num_of_split_atoms: 0
% 152.58/153.39 % num_of_sem_filtered_clauses: 0
% 152.58/153.39 % num_of_subtypes: 0
% 152.58/153.39 % monotx_restored_types: 0
% 152.58/153.39 % sat_num_of_epr_types: 0
% 152.58/153.39 % sat_num_of_non_cyclic_types: 0
% 152.58/153.39 % sat_guarded_non_collapsed_types: 0
% 152.58/153.39 % is_epr: 0
% 152.58/153.39 % is_horn: 0
% 152.58/153.39 % has_eq: 1
% 152.58/153.39 % num_pure_diseq_elim: 0
% 152.58/153.39 % simp_replaced_by: 0
% 152.58/153.39 % res_preprocessed: 2
% 152.58/153.39 % prep_upred: 0
% 152.58/153.39 % prep_unflattend: 0
% 152.58/153.39 % pred_elim_cands: 0
% 152.58/153.39 % pred_elim: 0
% 152.58/153.39 % pred_elim_cl: 0
% 152.58/153.39 % pred_elim_cycles: 0
% 152.58/153.39 % forced_gc_time: 0
% 152.58/153.39 % gc_basic_clause_elim: 0
% 152.58/153.39 % parsing_time: 0.036
% 152.58/153.39 % sem_filter_time: 0.
% 152.58/153.39 % pred_elim_time: 0.
% 152.58/153.39 % out_proof_time: 0.
% 152.58/153.39 % monotx_time: 0.
% 152.58/153.39 % subtype_inf_time: 0.
% 152.58/153.40 % unif_index_cands_time: 0.
% 152.58/153.40 % unif_index_add_time: 0.001
% 152.58/153.40 % total_time: 2.709
% 152.58/153.40 % num_of_symbols: 142
% 152.58/153.40 % num_of_terms: 3608
% 152.58/153.40
% 152.58/153.40 % ------ Propositional Solver
% 152.58/153.40
% 152.58/153.40 % prop_solver_calls: 1
% 152.58/153.40 % prop_fast_solver_calls: 3
% 152.58/153.40 % prop_num_of_clauses: 1302
% 152.58/153.40 % prop_preprocess_simplified: 4078
% 152.58/153.40 % prop_fo_subsumed: 0
% 152.58/153.40 % prop_solver_time: 0.
% 152.58/153.40 % prop_fast_solver_time: 0.
% 152.58/153.40 % prop_unsat_core_time: 0.
% 152.58/153.40
% 152.58/153.40 % ------ QBF
% 152.58/153.40
% 152.58/153.40 % qbf_q_res: 0
% 152.58/153.40 % qbf_num_tautologies: 0
% 152.58/153.40 % qbf_prep_cycles: 0
% 152.58/153.40
% 152.58/153.40 % ------ BMC1
% 152.58/153.40
% 152.58/153.40 % bmc1_current_bound: -1
% 152.58/153.40 % bmc1_last_solved_bound: -1
% 152.58/153.40 % bmc1_unsat_core_size: -1
% 152.58/153.40 % bmc1_unsat_core_parents_size: -1
% 152.58/153.40 % bmc1_merge_next_fun: 0
% 152.58/153.40 % bmc1_unsat_core_clauses_time: 0.
% 152.58/153.40
% 152.58/153.40 % ------ Instantiation
% 152.58/153.40
% 152.58/153.40 % inst_num_of_clauses: 1227
% 152.58/153.40 % inst_num_in_passive: 0
% 152.58/153.40 % inst_num_in_active: 0
% 152.58/153.40 % inst_num_in_unprocessed: 1379
% 152.58/153.40 % inst_num_of_loops: 0
% 152.58/153.40 % inst_num_of_learning_restarts: 0
% 152.58/153.40 % inst_num_moves_active_passive: 0
% 152.58/153.40 % inst_lit_activity: 0
% 152.58/153.40 % inst_lit_activity_moves: 0
% 152.58/153.40 % inst_num_tautologies: 0
% 152.58/153.40 % inst_num_prop_implied: 0
% 152.58/153.40 % inst_num_existing_simplified: 0
% 152.58/153.40 % inst_num_eq_res_simplified: 0
% 152.58/153.40 % inst_num_child_elim: 0
% 152.58/153.40 % inst_num_of_dismatching_blockings: 0
% 152.58/153.40 % inst_num_of_non_proper_insts: 0
% 152.58/153.40 % inst_num_of_duplicates: 0
% 152.58/153.40 % inst_inst_num_from_inst_to_res: 0
% 152.58/153.40 % inst_dismatching_checking_time: 0.
% 152.58/153.40
% 152.58/153.40 % ------ Resolution
% 152.58/153.40
% 152.58/153.40 % res_num_of_clauses: 1313
% 152.58/153.40 % res_num_in_passive: 0
% 152.58/153.40 % res_num_in_active: 523
% 152.58/153.40 % res_num_of_loops: 2
% 152.58/153.40 % res_forward_subset_subsumed: 734
% 152.58/153.40 % res_backward_subset_subsumed: 0
% 152.58/153.40 % res_forward_subsumed: 0
% 152.58/153.40 % res_backward_subsumed: 0
% 152.58/153.40 % res_forward_subsumption_resolution: 0
% 152.58/153.40 % res_backward_subsumption_resolution: 0
% 152.58/153.40 % res_clause_to_clause_subsumption: 0
% 152.58/153.40 % res_orphan_elimination: 0
% 152.58/153.40 % res_tautology_del: 0
% 152.58/153.40 % res_num_eq_res_simplified: 0
% 152.58/153.40 % res_num_sel_changes: 0
% 152.58/153.40 % res_moves_from_active_to_pass: 0
% 152.58/153.40
% 152.58/153.40 % Status Unknown
% 152.58/153.40 % Last status :
% 152.58/153.40 % SZS status Unknown
%------------------------------------------------------------------------------