TSTP Solution File: LCL801-1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL801-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 11:39:56 EDT 2022
% Result : Unknown 172.91s 173.11s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : LCL801-1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12 % Command : iprover_modulo %s %d
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 4 19:53:37 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.45/0.62 % Orienting using strategy Equiv(ClausalAll)
% 0.45/0.62 % Orientation found
% 0.45/0.62 % 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/sandbox2/tmp/iprover_proof_11addd.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_07b52d | grep -v "SZS"
% 0.49/0.64
% 0.49/0.64 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.49/0.64
% 0.49/0.64 %
% 0.49/0.64 % ------ iProver source info
% 0.49/0.64
% 0.49/0.64 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.49/0.64 % git: non_committed_changes: true
% 0.49/0.64 % git: last_make_outside_of_git: true
% 0.49/0.64
% 0.49/0.64 %
% 0.49/0.64 % ------ Input Options
% 0.49/0.64
% 0.49/0.64 % --out_options all
% 0.49/0.64 % --tptp_safe_out true
% 0.49/0.64 % --problem_path ""
% 0.49/0.64 % --include_path ""
% 0.49/0.64 % --clausifier .//eprover
% 0.49/0.64 % --clausifier_options --tstp-format
% 0.49/0.64 % --stdin false
% 0.49/0.64 % --dbg_backtrace false
% 0.49/0.64 % --dbg_dump_prop_clauses false
% 0.49/0.64 % --dbg_dump_prop_clauses_file -
% 0.49/0.64 % --dbg_out_stat false
% 0.49/0.64
% 0.49/0.64 % ------ General Options
% 0.49/0.64
% 0.49/0.64 % --fof false
% 0.49/0.64 % --time_out_real 150.
% 0.49/0.64 % --time_out_prep_mult 0.2
% 0.49/0.64 % --time_out_virtual -1.
% 0.49/0.64 % --schedule none
% 0.49/0.64 % --ground_splitting input
% 0.49/0.64 % --splitting_nvd 16
% 0.49/0.64 % --non_eq_to_eq false
% 0.49/0.64 % --prep_gs_sim true
% 0.49/0.64 % --prep_unflatten false
% 0.49/0.64 % --prep_res_sim true
% 0.49/0.64 % --prep_upred true
% 0.49/0.64 % --res_sim_input true
% 0.49/0.64 % --clause_weak_htbl true
% 0.49/0.64 % --gc_record_bc_elim false
% 0.49/0.64 % --symbol_type_check false
% 0.49/0.64 % --clausify_out false
% 0.49/0.64 % --large_theory_mode false
% 0.49/0.64 % --prep_sem_filter none
% 0.49/0.64 % --prep_sem_filter_out false
% 0.49/0.64 % --preprocessed_out false
% 0.49/0.64 % --sub_typing false
% 0.49/0.64 % --brand_transform false
% 0.49/0.64 % --pure_diseq_elim true
% 0.49/0.64 % --min_unsat_core false
% 0.49/0.64 % --pred_elim true
% 0.49/0.64 % --add_important_lit false
% 0.49/0.64 % --soft_assumptions false
% 0.49/0.64 % --reset_solvers false
% 0.49/0.64 % --bc_imp_inh []
% 0.49/0.64 % --conj_cone_tolerance 1.5
% 0.49/0.64 % --prolific_symb_bound 500
% 0.49/0.64 % --lt_threshold 2000
% 0.49/0.64
% 0.49/0.64 % ------ SAT Options
% 0.49/0.64
% 0.49/0.64 % --sat_mode false
% 0.49/0.64 % --sat_fm_restart_options ""
% 0.49/0.64 % --sat_gr_def false
% 0.49/0.64 % --sat_epr_types true
% 0.49/0.64 % --sat_non_cyclic_types false
% 0.49/0.64 % --sat_finite_models false
% 0.49/0.64 % --sat_fm_lemmas false
% 0.49/0.64 % --sat_fm_prep false
% 0.49/0.64 % --sat_fm_uc_incr true
% 0.49/0.64 % --sat_out_model small
% 0.49/0.64 % --sat_out_clauses false
% 0.49/0.64
% 0.49/0.64 % ------ QBF Options
% 0.49/0.64
% 0.49/0.64 % --qbf_mode false
% 0.49/0.64 % --qbf_elim_univ true
% 0.49/0.64 % --qbf_sk_in true
% 0.49/0.64 % --qbf_pred_elim true
% 0.49/0.64 % --qbf_split 32
% 0.49/0.64
% 0.49/0.64 % ------ BMC1 Options
% 0.49/0.64
% 0.49/0.64 % --bmc1_incremental false
% 0.49/0.64 % --bmc1_axioms reachable_all
% 0.49/0.64 % --bmc1_min_bound 0
% 0.49/0.64 % --bmc1_max_bound -1
% 0.49/0.64 % --bmc1_max_bound_default -1
% 0.49/0.64 % --bmc1_symbol_reachability true
% 0.49/0.64 % --bmc1_property_lemmas false
% 0.49/0.64 % --bmc1_k_induction false
% 0.49/0.64 % --bmc1_non_equiv_states false
% 0.49/0.64 % --bmc1_deadlock false
% 0.49/0.64 % --bmc1_ucm false
% 0.49/0.64 % --bmc1_add_unsat_core none
% 0.49/0.64 % --bmc1_unsat_core_children false
% 0.49/0.64 % --bmc1_unsat_core_extrapolate_axioms false
% 0.49/0.64 % --bmc1_out_stat full
% 0.49/0.64 % --bmc1_ground_init false
% 0.49/0.64 % --bmc1_pre_inst_next_state false
% 0.49/0.64 % --bmc1_pre_inst_state false
% 0.49/0.64 % --bmc1_pre_inst_reach_state false
% 0.49/0.64 % --bmc1_out_unsat_core false
% 0.49/0.64 % --bmc1_aig_witness_out false
% 0.49/0.64 % --bmc1_verbose false
% 0.49/0.64 % --bmc1_dump_clauses_tptp false
% 27.57/27.79 % --bmc1_dump_unsat_core_tptp false
% 27.57/27.79 % --bmc1_dump_file -
% 27.57/27.79 % --bmc1_ucm_expand_uc_limit 128
% 27.57/27.79 % --bmc1_ucm_n_expand_iterations 6
% 27.57/27.79 % --bmc1_ucm_extend_mode 1
% 27.57/27.79 % --bmc1_ucm_init_mode 2
% 27.57/27.79 % --bmc1_ucm_cone_mode none
% 27.57/27.79 % --bmc1_ucm_reduced_relation_type 0
% 27.57/27.79 % --bmc1_ucm_relax_model 4
% 27.57/27.79 % --bmc1_ucm_full_tr_after_sat true
% 27.57/27.79 % --bmc1_ucm_expand_neg_assumptions false
% 27.57/27.79 % --bmc1_ucm_layered_model none
% 27.57/27.79 % --bmc1_ucm_max_lemma_size 10
% 27.57/27.79
% 27.57/27.79 % ------ AIG Options
% 27.57/27.79
% 27.57/27.79 % --aig_mode false
% 27.57/27.79
% 27.57/27.79 % ------ Instantiation Options
% 27.57/27.79
% 27.57/27.79 % --instantiation_flag true
% 27.57/27.79 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 27.57/27.79 % --inst_solver_per_active 750
% 27.57/27.79 % --inst_solver_calls_frac 0.5
% 27.57/27.79 % --inst_passive_queue_type priority_queues
% 27.57/27.79 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 27.57/27.79 % --inst_passive_queues_freq [25;2]
% 27.57/27.79 % --inst_dismatching true
% 27.57/27.79 % --inst_eager_unprocessed_to_passive true
% 27.57/27.79 % --inst_prop_sim_given true
% 27.57/27.79 % --inst_prop_sim_new false
% 27.57/27.79 % --inst_orphan_elimination true
% 27.57/27.79 % --inst_learning_loop_flag true
% 27.57/27.79 % --inst_learning_start 3000
% 27.57/27.79 % --inst_learning_factor 2
% 27.57/27.79 % --inst_start_prop_sim_after_learn 3
% 27.57/27.79 % --inst_sel_renew solver
% 27.57/27.79 % --inst_lit_activity_flag true
% 27.57/27.79 % --inst_out_proof true
% 27.57/27.79
% 27.57/27.79 % ------ Resolution Options
% 27.57/27.79
% 27.57/27.79 % --resolution_flag true
% 27.57/27.79 % --res_lit_sel kbo_max
% 27.57/27.79 % --res_to_prop_solver none
% 27.57/27.79 % --res_prop_simpl_new false
% 27.57/27.79 % --res_prop_simpl_given false
% 27.57/27.79 % --res_passive_queue_type priority_queues
% 27.57/27.79 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 27.57/27.79 % --res_passive_queues_freq [15;5]
% 27.57/27.79 % --res_forward_subs full
% 27.57/27.79 % --res_backward_subs full
% 27.57/27.79 % --res_forward_subs_resolution true
% 27.57/27.79 % --res_backward_subs_resolution true
% 27.57/27.79 % --res_orphan_elimination false
% 27.57/27.79 % --res_time_limit 1000.
% 27.57/27.79 % --res_out_proof true
% 27.57/27.79 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_11addd.s
% 27.57/27.79 % --modulo true
% 27.57/27.79
% 27.57/27.79 % ------ Combination Options
% 27.57/27.79
% 27.57/27.79 % --comb_res_mult 1000
% 27.57/27.79 % --comb_inst_mult 300
% 27.57/27.79 % ------
% 27.57/27.79
% 27.57/27.79 % ------ Parsing...% successful
% 27.57/27.79
% 27.57/27.79 % ------ 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 %
% 27.57/27.79
% 27.57/27.79 % ------ Proving...
% 27.57/27.79 % ------ Problem Properties
% 27.57/27.79
% 27.57/27.79 %
% 27.57/27.79 % EPR false
% 27.57/27.79 % Horn false
% 27.57/27.79 % Has equality true
% 27.57/27.79
% 27.57/27.79 % % ------ Input Options Time Limit: Unbounded
% 27.57/27.79
% 27.57/27.79
% 27.57/27.79 Compiling...
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% 27.57/27.79 % % ------ Current options:
% 27.57/27.79
% 27.57/27.79 % ------ Input Options
% 27.57/27.79
% 27.57/27.79 % --out_options all
% 27.57/27.79 % --tptp_safe_out true
% 27.57/27.79 % --problem_path ""
% 27.57/27.79 % --include_path ""
% 27.57/27.79 % --clausifier .//eprover
% 27.57/27.79 % --clausifier_options --tstp-format
% 27.57/27.79 % --stdin false
% 27.57/27.79 % --dbg_backtrace false
% 27.57/27.79 % --dbg_dump_prop_clauses false
% 27.57/27.79 % --dbg_dump_prop_clauses_file -
% 27.57/27.79 % --dbg_out_stat false
% 27.57/27.79
% 27.57/27.79 % ------ General Options
% 27.57/27.79
% 27.57/27.79 % --fof false
% 27.57/27.79 % --time_out_real 150.
% 27.57/27.79 % --time_out_prep_mult 0.2
% 27.57/27.79 % --time_out_virtual -1.
% 27.57/27.79 % --schedule none
% 27.57/27.79 % --ground_splitting input
% 27.57/27.79 % --splitting_nvd 16
% 27.57/27.79 % --non_eq_to_eq false
% 27.57/27.79 % --prep_gs_sim true
% 27.57/27.79 % --prep_unflatten false
% 27.57/27.79 % --prep_res_sim true
% 27.57/27.79 % --prep_upred true
% 27.57/27.79 % --res_sim_input true
% 27.57/27.79 % --clause_weak_htbl true
% 27.57/27.79 % --gc_record_bc_elim false
% 27.57/27.79 % --symbol_type_check false
% 27.57/27.79 % --clausify_out false
% 27.57/27.79 % --large_theory_mode false
% 27.57/27.79 % --prep_sem_filter none
% 27.57/27.79 % --prep_sem_filter_out false
% 27.57/27.79 % --preprocessed_out false
% 27.57/27.79 % --sub_typing false
% 27.57/27.79 % --brand_transform false
% 27.57/27.79 % --pure_diseq_elim true
% 27.57/27.79 % --min_unsat_core false
% 27.57/27.79 % --pred_elim true
% 27.57/27.79 % --add_important_lit false
% 27.57/27.79 % --soft_assumptions false
% 27.57/27.79 % --reset_solvers false
% 27.57/27.79 % --bc_imp_inh []
% 27.57/27.79 % --conj_cone_tolerance 1.5
% 27.57/27.79 % --prolific_symb_bound 500
% 27.57/27.79 % --lt_threshold 2000
% 27.57/27.79
% 27.57/27.79 % ------ SAT Options
% 27.57/27.79
% 27.57/27.79 % --sat_mode false
% 27.57/27.79 % --sat_fm_restart_options ""
% 27.57/27.79 % --sat_gr_def false
% 27.57/27.79 % --sat_epr_types true
% 27.57/27.79 % --sat_non_cyclic_types false
% 27.57/27.79 % --sat_finite_models false
% 27.57/27.79 % --sat_fm_lemmas false
% 27.57/27.79 % --sat_fm_prep false
% 27.57/27.79 % --sat_fm_uc_incr true
% 27.57/27.79 % --sat_out_model small
% 27.57/27.79 % --sat_out_clauses false
% 27.57/27.79
% 27.57/27.79 % ------ QBF Options
% 27.57/27.79
% 27.57/27.79 % --qbf_mode false
% 27.57/27.79 % --qbf_elim_univ true
% 27.57/27.79 % --qbf_sk_in true
% 27.57/27.79 % --qbf_pred_elim true
% 27.57/27.79 % --qbf_split 32
% 27.57/27.79
% 27.57/27.79 % ------ BMC1 Options
% 27.57/27.79
% 27.57/27.79 % --bmc1_incremental false
% 27.57/27.79 % --bmc1_axioms reachable_all
% 27.57/27.79 % --bmc1_min_bound 0
% 27.57/27.79 % --bmc1_max_bound -1
% 27.57/27.79 % --bmc1_max_bound_default -1
% 27.57/27.79 % --bmc1_symbol_reachability true
% 27.57/27.79 % --bmc1_property_lemmas false
% 27.57/27.79 % --bmc1_k_induction false
% 27.57/27.79 % --bmc1_non_equiv_states false
% 27.57/27.79 % --bmc1_deadlock false
% 27.57/27.79 % --bmc1_ucm false
% 27.57/27.79 % --bmc1_add_unsat_core none
% 27.57/27.79 % --bmc1_unsat_core_children false
% 27.57/27.79 % --bmc1_unsat_core_extrapolate_axioms false
% 27.57/27.79 % --bmc1_out_stat full
% 27.57/27.79 % --bmc1_ground_init false
% 27.57/27.79 % --bmc1_pre_inst_next_state false
% 27.57/27.79 % --bmc1_pre_inst_state false
% 27.57/27.79 % --bmc1_pre_inst_reach_state false
% 27.57/27.79 % --bmc1_out_unsat_core false
% 27.57/27.79 % --bmc1_aig_witness_out false
% 27.57/27.79 % --bmc1_verbose false
% 27.57/27.79 % --bmc1_dump_clauses_tptp false
% 27.57/27.79 % --bmc1_dump_unsat_core_tptp false
% 27.57/27.79 % --bmc1_dump_file -
% 27.57/27.79 % --bmc1_ucm_expand_uc_limit 128
% 27.57/27.79 % --bmc1_ucm_n_expand_iterations 6
% 27.57/27.79 % --bmc1_ucm_extend_mode 1
% 27.57/27.79 % --bmc1_ucm_init_mode 2
% 27.57/27.79 % --bmc1_ucm_cone_mode none
% 150.37/150.64 % --bmc1_ucm_reduced_relation_type 0
% 150.37/150.64 % --bmc1_ucm_relax_model 4
% 150.37/150.64 % --bmc1_ucm_full_tr_after_sat true
% 150.37/150.64 % --bmc1_ucm_expand_neg_assumptions false
% 150.37/150.64 % --bmc1_ucm_layered_model none
% 150.37/150.64 % --bmc1_ucm_max_lemma_size 10
% 150.37/150.64
% 150.37/150.64 % ------ AIG Options
% 150.37/150.64
% 150.37/150.64 % --aig_mode false
% 150.37/150.64
% 150.37/150.64 % ------ Instantiation Options
% 150.37/150.64
% 150.37/150.64 % --instantiation_flag true
% 150.37/150.64 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.37/150.64 % --inst_solver_per_active 750
% 150.37/150.64 % --inst_solver_calls_frac 0.5
% 150.37/150.64 % --inst_passive_queue_type priority_queues
% 150.37/150.64 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.37/150.64 % --inst_passive_queues_freq [25;2]
% 150.37/150.64 % --inst_dismatching true
% 150.37/150.64 % --inst_eager_unprocessed_to_passive true
% 150.37/150.64 % --inst_prop_sim_given true
% 150.37/150.64 % --inst_prop_sim_new false
% 150.37/150.64 % --inst_orphan_elimination true
% 150.37/150.64 % --inst_learning_loop_flag true
% 150.37/150.64 % --inst_learning_start 3000
% 150.37/150.64 % --inst_learning_factor 2
% 150.37/150.64 % --inst_start_prop_sim_after_learn 3
% 150.37/150.64 % --inst_sel_renew solver
% 150.37/150.64 % --inst_lit_activity_flag true
% 150.37/150.64 % --inst_out_proof true
% 150.37/150.64
% 150.37/150.64 % ------ Resolution Options
% 150.37/150.64
% 150.37/150.64 % --resolution_flag true
% 150.37/150.64 % --res_lit_sel kbo_max
% 150.37/150.64 % --res_to_prop_solver none
% 150.37/150.64 % --res_prop_simpl_new false
% 150.37/150.64 % --res_prop_simpl_given false
% 150.37/150.64 % --res_passive_queue_type priority_queues
% 150.37/150.64 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.37/150.64 % --res_passive_queues_freq [15;5]
% 150.37/150.64 % --res_forward_subs full
% 150.37/150.64 % --res_backward_subs full
% 150.37/150.64 % --res_forward_subs_resolution true
% 150.37/150.64 % --res_backward_subs_resolution true
% 150.37/150.64 % --res_orphan_elimination false
% 150.37/150.64 % --res_time_limit 1000.
% 150.37/150.64 % --res_out_proof true
% 150.37/150.64 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_11addd.s
% 150.37/150.64 % --modulo true
% 150.37/150.64
% 150.37/150.64 % ------ Combination Options
% 150.37/150.64
% 150.37/150.64 % --comb_res_mult 1000
% 150.37/150.64 % --comb_inst_mult 300
% 150.37/150.64 % ------
% 150.37/150.64
% 150.37/150.64
% 150.37/150.64
% 150.37/150.64 % ------ Proving...
% 150.37/150.64 %
% 150.37/150.64
% 150.37/150.64
% 150.37/150.64 % Time Out Real
% 150.37/150.64
% 150.37/150.64 % ------ Statistics
% 150.37/150.64
% 150.37/150.64 % ------ General
% 150.37/150.64
% 150.37/150.64 % num_of_input_clauses: 1730
% 150.37/150.64 % num_of_input_neg_conjectures: 1
% 150.37/150.64 % num_of_splits: 0
% 150.37/150.64 % num_of_split_atoms: 0
% 150.37/150.64 % num_of_sem_filtered_clauses: 0
% 150.37/150.64 % num_of_subtypes: 0
% 150.37/150.64 % monotx_restored_types: 0
% 150.37/150.64 % sat_num_of_epr_types: 0
% 150.37/150.64 % sat_num_of_non_cyclic_types: 0
% 150.37/150.64 % sat_guarded_non_collapsed_types: 0
% 150.37/150.64 % is_epr: 0
% 150.37/150.64 % is_horn: 0
% 150.37/150.64 % has_eq: 1
% 150.37/150.64 % num_pure_diseq_elim: 0
% 150.37/150.64 % simp_replaced_by: 0
% 150.37/150.64 % res_preprocessed: 2
% 150.37/150.64 % prep_upred: 0
% 150.37/150.64 % prep_unflattend: 0
% 150.37/150.64 % pred_elim_cands: 0
% 150.37/150.64 % pred_elim: 0
% 150.37/150.64 % pred_elim_cl: 0
% 150.37/150.64 % pred_elim_cycles: 0
% 150.37/150.64 % forced_gc_time: 0
% 150.37/150.64 % gc_basic_clause_elim: 0
% 150.37/150.64 % parsing_time: 0.142
% 150.37/150.64 % sem_filter_time: 0.
% 150.37/150.64 % pred_elim_time: 0.
% 150.37/150.64 % out_proof_time: 0.
% 150.37/150.64 % monotx_time: 0.
% 150.37/150.64 % subtype_inf_time: 0.
% 150.37/150.64 % unif_index_cands_time: 0.012
% 150.37/150.64 % unif_index_add_time: 0.039
% 150.37/150.64 % total_time: 150.013
% 150.37/150.64 % num_of_symbols: 175
% 150.37/150.64 % num_of_terms: 65737
% 150.37/150.64
% 150.37/150.64 % ------ Propositional Solver
% 150.37/150.64
% 150.37/150.64 % prop_solver_calls: 1
% 150.37/150.64 % prop_fast_solver_calls: 3
% 150.37/150.65 % prop_num_of_clauses: 1613
% 150.37/150.65 % prop_preprocess_simplified: 5205
% 150.37/150.65 % prop_fo_subsumed: 0
% 150.37/150.65 % prop_solver_time: 0.
% 150.37/150.65 % prop_fast_solver_time: 0.
% 150.37/150.65 % prop_unsat_core_time: 0.
% 150.37/150.65
% 150.37/150.65 % ------ QBF
% 150.37/150.65
% 150.37/150.65 % qbf_q_res: 0
% 150.37/150.65 % qbf_num_tautologies: 0
% 150.37/150.65 % qbf_prep_cycles: 0
% 150.37/150.65
% 150.37/150.65 % ------ BMC1
% 150.37/150.65
% 150.37/150.65 % bmc1_current_bound: -1
% 150.37/150.65 % bmc1_last_solved_bound: -1
% 150.37/150.65 % bmc1_unsat_core_size: -1
% 150.37/150.65 % bmc1_unsat_core_parents_size: -1
% 150.37/150.65 % bmc1_merge_next_fun: 0
% 150.37/150.65 % bmc1_unsat_core_clauses_time: 0.
% 150.37/150.65
% 150.37/150.65 % ------ Instantiation
% 150.37/150.65
% 150.37/150.65 % inst_num_of_clauses: 1501
% 150.37/150.65 % inst_num_in_passive: 0
% 150.37/150.65 % inst_num_in_active: 0
% 150.37/150.65 % inst_num_in_unprocessed: 1730
% 150.37/150.65 % inst_num_of_loops: 0
% 150.37/150.65 % inst_num_of_learning_restarts: 0
% 150.37/150.65 % inst_num_moves_active_passive: 0
% 150.37/150.65 % inst_lit_activity: 0
% 150.37/150.65 % inst_lit_activity_moves: 0
% 150.37/150.65 % inst_num_tautologies: 0
% 150.37/150.65 % inst_num_prop_implied: 0
% 150.37/150.65 % inst_num_existing_simplified: 0
% 150.37/150.65 % inst_num_eq_res_simplified: 0
% 150.37/150.65 % inst_num_child_elim: 0
% 150.37/150.65 % inst_num_of_dismatching_blockings: 0
% 150.37/150.65 % inst_num_of_non_proper_insts: 0
% 150.37/150.65 % inst_num_of_duplicates: 0
% 150.37/150.65 % inst_inst_num_from_inst_to_res: 0
% 150.37/150.65 % inst_dismatching_checking_time: 0.
% 150.37/150.65
% 150.37/150.65 % ------ Resolution
% 150.37/150.65
% 150.37/150.65 % res_num_of_clauses: 11330
% 150.37/150.65 % res_num_in_passive: 9233
% 150.37/150.65 % res_num_in_active: 1060
% 150.37/150.65 % res_num_of_loops: 940
% 150.37/150.65 % res_forward_subset_subsumed: 1036
% 150.37/150.65 % res_backward_subset_subsumed: 3
% 150.37/150.65 % res_forward_subsumed: 501
% 150.37/150.65 % res_backward_subsumed: 2
% 150.37/150.65 % res_forward_subsumption_resolution: 0
% 150.37/150.65 % res_backward_subsumption_resolution: 0
% 150.37/150.65 % res_clause_to_clause_subsumption: 4231
% 150.37/150.65 % res_orphan_elimination: 0
% 150.37/150.65 % res_tautology_del: 15
% 150.37/150.65 % res_num_eq_res_simplified: 0
% 150.37/150.65 % res_num_sel_changes: 0
% 150.37/150.65 % res_moves_from_active_to_pass: 0
% 150.37/150.65
% 150.37/150.65 % Status Unknown
% 150.75/150.95 % Orienting using strategy ClausalAll
% 150.75/150.95 % Orientation found
% 150.75/150.95 % 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/sandbox2/tmp/iprover_proof_11addd.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_3ae808 | grep -v "SZS"
% 150.79/150.97
% 150.79/150.97 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.79/150.97
% 150.79/150.97 %
% 150.79/150.97 % ------ iProver source info
% 150.79/150.97
% 150.79/150.97 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.79/150.97 % git: non_committed_changes: true
% 150.79/150.97 % git: last_make_outside_of_git: true
% 150.79/150.97
% 150.79/150.97 %
% 150.79/150.97 % ------ Input Options
% 150.79/150.97
% 150.79/150.97 % --out_options all
% 150.79/150.97 % --tptp_safe_out true
% 150.79/150.97 % --problem_path ""
% 150.79/150.97 % --include_path ""
% 150.79/150.97 % --clausifier .//eprover
% 150.79/150.97 % --clausifier_options --tstp-format
% 150.79/150.97 % --stdin false
% 150.79/150.97 % --dbg_backtrace false
% 150.79/150.97 % --dbg_dump_prop_clauses false
% 150.79/150.97 % --dbg_dump_prop_clauses_file -
% 150.79/150.97 % --dbg_out_stat false
% 150.79/150.97
% 150.79/150.97 % ------ General Options
% 150.79/150.97
% 150.79/150.97 % --fof false
% 150.79/150.97 % --time_out_real 150.
% 150.79/150.97 % --time_out_prep_mult 0.2
% 150.79/150.97 % --time_out_virtual -1.
% 150.79/150.97 % --schedule none
% 150.79/150.97 % --ground_splitting input
% 150.79/150.97 % --splitting_nvd 16
% 150.79/150.97 % --non_eq_to_eq false
% 150.79/150.97 % --prep_gs_sim true
% 150.79/150.97 % --prep_unflatten false
% 150.79/150.97 % --prep_res_sim true
% 150.79/150.97 % --prep_upred true
% 150.79/150.97 % --res_sim_input true
% 150.79/150.97 % --clause_weak_htbl true
% 150.79/150.97 % --gc_record_bc_elim false
% 150.79/150.97 % --symbol_type_check false
% 150.79/150.97 % --clausify_out false
% 150.79/150.97 % --large_theory_mode false
% 150.79/150.97 % --prep_sem_filter none
% 150.79/150.97 % --prep_sem_filter_out false
% 150.79/150.97 % --preprocessed_out false
% 150.79/150.97 % --sub_typing false
% 150.79/150.97 % --brand_transform false
% 150.79/150.97 % --pure_diseq_elim true
% 150.79/150.97 % --min_unsat_core false
% 150.79/150.97 % --pred_elim true
% 150.79/150.97 % --add_important_lit false
% 150.79/150.97 % --soft_assumptions false
% 150.79/150.97 % --reset_solvers false
% 150.79/150.97 % --bc_imp_inh []
% 150.79/150.97 % --conj_cone_tolerance 1.5
% 150.79/150.97 % --prolific_symb_bound 500
% 150.79/150.97 % --lt_threshold 2000
% 150.79/150.97
% 150.79/150.97 % ------ SAT Options
% 150.79/150.97
% 150.79/150.97 % --sat_mode false
% 150.79/150.97 % --sat_fm_restart_options ""
% 150.79/150.97 % --sat_gr_def false
% 150.79/150.97 % --sat_epr_types true
% 150.79/150.97 % --sat_non_cyclic_types false
% 150.79/150.97 % --sat_finite_models false
% 150.79/150.97 % --sat_fm_lemmas false
% 150.79/150.97 % --sat_fm_prep false
% 150.79/150.97 % --sat_fm_uc_incr true
% 150.79/150.97 % --sat_out_model small
% 150.79/150.97 % --sat_out_clauses false
% 150.79/150.97
% 150.79/150.97 % ------ QBF Options
% 150.79/150.97
% 150.79/150.97 % --qbf_mode false
% 150.79/150.97 % --qbf_elim_univ true
% 150.79/150.97 % --qbf_sk_in true
% 150.79/150.97 % --qbf_pred_elim true
% 150.79/150.97 % --qbf_split 32
% 150.79/150.97
% 150.79/150.97 % ------ BMC1 Options
% 150.79/150.97
% 150.79/150.97 % --bmc1_incremental false
% 150.79/150.97 % --bmc1_axioms reachable_all
% 150.79/150.97 % --bmc1_min_bound 0
% 150.79/150.97 % --bmc1_max_bound -1
% 150.79/150.97 % --bmc1_max_bound_default -1
% 150.79/150.97 % --bmc1_symbol_reachability true
% 150.79/150.97 % --bmc1_property_lemmas false
% 150.79/150.97 % --bmc1_k_induction false
% 150.79/150.97 % --bmc1_non_equiv_states false
% 150.79/150.97 % --bmc1_deadlock false
% 150.79/150.97 % --bmc1_ucm false
% 150.79/150.97 % --bmc1_add_unsat_core none
% 150.79/150.97 % --bmc1_unsat_core_children false
% 150.79/150.97 % --bmc1_unsat_core_extrapolate_axioms false
% 150.79/150.97 % --bmc1_out_stat full
% 150.79/150.97 % --bmc1_ground_init false
% 150.79/150.97 % --bmc1_pre_inst_next_state false
% 150.79/150.97 % --bmc1_pre_inst_state false
% 150.79/150.97 % --bmc1_pre_inst_reach_state false
% 150.79/150.97 % --bmc1_out_unsat_core false
% 150.79/150.97 % --bmc1_aig_witness_out false
% 150.79/150.97 % --bmc1_verbose false
% 150.79/150.97 % --bmc1_dump_clauses_tptp false
% 172.75/172.99 % --bmc1_dump_unsat_core_tptp false
% 172.75/172.99 % --bmc1_dump_file -
% 172.75/172.99 % --bmc1_ucm_expand_uc_limit 128
% 172.75/172.99 % --bmc1_ucm_n_expand_iterations 6
% 172.75/172.99 % --bmc1_ucm_extend_mode 1
% 172.75/172.99 % --bmc1_ucm_init_mode 2
% 172.75/172.99 % --bmc1_ucm_cone_mode none
% 172.75/172.99 % --bmc1_ucm_reduced_relation_type 0
% 172.75/172.99 % --bmc1_ucm_relax_model 4
% 172.75/172.99 % --bmc1_ucm_full_tr_after_sat true
% 172.75/172.99 % --bmc1_ucm_expand_neg_assumptions false
% 172.75/172.99 % --bmc1_ucm_layered_model none
% 172.75/172.99 % --bmc1_ucm_max_lemma_size 10
% 172.75/172.99
% 172.75/172.99 % ------ AIG Options
% 172.75/172.99
% 172.75/172.99 % --aig_mode false
% 172.75/172.99
% 172.75/172.99 % ------ Instantiation Options
% 172.75/172.99
% 172.75/172.99 % --instantiation_flag true
% 172.75/172.99 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 172.75/172.99 % --inst_solver_per_active 750
% 172.75/172.99 % --inst_solver_calls_frac 0.5
% 172.75/172.99 % --inst_passive_queue_type priority_queues
% 172.75/172.99 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 172.75/172.99 % --inst_passive_queues_freq [25;2]
% 172.75/172.99 % --inst_dismatching true
% 172.75/172.99 % --inst_eager_unprocessed_to_passive true
% 172.75/172.99 % --inst_prop_sim_given true
% 172.75/172.99 % --inst_prop_sim_new false
% 172.75/172.99 % --inst_orphan_elimination true
% 172.75/172.99 % --inst_learning_loop_flag true
% 172.75/172.99 % --inst_learning_start 3000
% 172.75/172.99 % --inst_learning_factor 2
% 172.75/172.99 % --inst_start_prop_sim_after_learn 3
% 172.75/172.99 % --inst_sel_renew solver
% 172.75/172.99 % --inst_lit_activity_flag true
% 172.75/172.99 % --inst_out_proof true
% 172.75/172.99
% 172.75/172.99 % ------ Resolution Options
% 172.75/172.99
% 172.75/172.99 % --resolution_flag true
% 172.75/172.99 % --res_lit_sel kbo_max
% 172.75/172.99 % --res_to_prop_solver none
% 172.75/172.99 % --res_prop_simpl_new false
% 172.75/172.99 % --res_prop_simpl_given false
% 172.75/172.99 % --res_passive_queue_type priority_queues
% 172.75/172.99 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 172.75/172.99 % --res_passive_queues_freq [15;5]
% 172.75/172.99 % --res_forward_subs full
% 172.75/172.99 % --res_backward_subs full
% 172.75/172.99 % --res_forward_subs_resolution true
% 172.75/172.99 % --res_backward_subs_resolution true
% 172.75/172.99 % --res_orphan_elimination false
% 172.75/172.99 % --res_time_limit 1000.
% 172.75/172.99 % --res_out_proof true
% 172.75/172.99 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_11addd.s
% 172.75/172.99 % --modulo true
% 172.75/172.99
% 172.75/172.99 % ------ Combination Options
% 172.75/172.99
% 172.75/172.99 % --comb_res_mult 1000
% 172.75/172.99 % --comb_inst_mult 300
% 172.75/172.99 % ------
% 172.75/172.99
% 172.75/172.99 % ------ Parsing...% successful
% 172.75/172.99
% 172.75/172.99 % ------ 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 %
% 172.75/172.99
% 172.75/172.99 % ------ Proving...
% 172.75/172.99 % ------ Problem Properties
% 172.75/172.99
% 172.75/172.99 %
% 172.75/172.99 % EPR false
% 172.75/172.99 % Horn false
% 172.75/172.99 % Has equality true
% 172.75/172.99
% 172.75/172.99 % % ------ Input Options Time Limit: Unbounded
% 172.75/172.99
% 172.75/172.99
% 172.75/172.99 Compiling...
% 172.75/172.99 Loading plugin: done.
% 172.75/172.99 Compiling...
% 172.75/172.99 Loading plugin: done.
% 172.75/172.99 Compiling...
% 172.75/172.99 Loading plugin: done.
% 172.75/172.99 Compiling...
% 172.75/172.99 Loading plugin: done.
% 172.75/172.99 Compiling...
% 172.75/172.99 Loading plugin: done.
% 172.75/172.99 Compiling...
% 172.75/172.99 Loading plugin: done.
% 172.75/172.99 Compiling...
% 172.75/172.99 Loading plugin: done.
% 172.75/172.99 Compiling...
% 172.75/172.99 Loading plugin: done.
% 172.75/172.99 Compiling...
% 172.75/172.99 Loading plugin: done.
% 172.75/172.99 Compiling...
% 172.75/172.99 Loading plugin: done.
% 172.75/172.99 Compiling...
% 172.75/172.99 Loading plugin: done.
% 172.75/172.99 Compiling...
% 172.75/172.99 Loading plugin: done.
% 172.75/172.99 Compiling...
% 172.75/172.99 Loading plugin: done.
% 172.75/172.99 Compiling...
% 172.75/172.99 Loading plugin: done.
% 172.75/172.99 Compiling...
% 172.75/172.99 Loading plugin: done.
% 172.75/172.99 Compiling...
% 172.75/172.99 Loading plugin: done.
% 172.75/172.99 Compiling...
% 172.75/172.99 Loading plugin: done.
% 172.75/172.99 % % ------ Current options:
% 172.75/172.99
% 172.75/172.99 % ------ Input Options
% 172.75/172.99
% 172.75/172.99 % --out_options all
% 172.75/172.99 % --tptp_safe_out true
% 172.75/172.99 % --problem_path ""
% 172.75/172.99 % --include_path ""
% 172.75/172.99 % --clausifier .//eprover
% 172.75/172.99 % --clausifier_options --tstp-format
% 172.75/172.99 % --stdin false
% 172.75/172.99 % --dbg_backtrace false
% 172.75/172.99 % --dbg_dump_prop_clauses false
% 172.75/172.99 % --dbg_dump_prop_clauses_file -
% 172.75/172.99 % --dbg_out_stat false
% 172.75/172.99
% 172.75/172.99 % ------ General Options
% 172.75/172.99
% 172.75/172.99 % --fof false
% 172.75/172.99 % --time_out_real 150.
% 172.75/172.99 % --time_out_prep_mult 0.2
% 172.75/172.99 % --time_out_virtual -1.
% 172.75/172.99 % --schedule none
% 172.75/172.99 % --ground_splitting input
% 172.75/172.99 % --splitting_nvd 16
% 172.75/172.99 % --non_eq_to_eq false
% 172.75/172.99 % --prep_gs_sim true
% 172.75/172.99 % --prep_unflatten false
% 172.75/172.99 % --prep_res_sim true
% 172.75/172.99 % --prep_upred true
% 172.75/172.99 % --res_sim_input true
% 172.75/172.99 % --clause_weak_htbl true
% 172.75/172.99 % --gc_record_bc_elim false
% 172.75/172.99 % --symbol_type_check false
% 172.75/172.99 % --clausify_out false
% 172.75/172.99 % --large_theory_mode false
% 172.75/172.99 % --prep_sem_filter none
% 172.75/172.99 % --prep_sem_filter_out false
% 172.75/172.99 % --preprocessed_out false
% 172.75/172.99 % --sub_typing false
% 172.75/172.99 % --brand_transform false
% 172.75/172.99 % --pure_diseq_elim true
% 172.75/172.99 % --min_unsat_core false
% 172.75/172.99 % --pred_elim true
% 172.75/172.99 % --add_important_lit false
% 172.75/172.99 % --soft_assumptions false
% 172.75/172.99 % --reset_solvers false
% 172.75/172.99 % --bc_imp_inh []
% 172.75/172.99 % --conj_cone_tolerance 1.5
% 172.75/172.99 % --prolific_symb_bound 500
% 172.75/172.99 % --lt_threshold 2000
% 172.75/172.99
% 172.75/172.99 % ------ SAT Options
% 172.75/172.99
% 172.75/172.99 % --sat_mode false
% 172.75/172.99 % --sat_fm_restart_options ""
% 172.75/172.99 % --sat_gr_def false
% 172.75/172.99 % --sat_epr_types true
% 172.75/172.99 % --sat_non_cyclic_types false
% 172.75/172.99 % --sat_finite_models false
% 172.75/172.99 % --sat_fm_lemmas false
% 172.75/172.99 % --sat_fm_prep false
% 172.75/172.99 % --sat_fm_uc_incr true
% 172.75/172.99 % --sat_out_model small
% 172.75/172.99 % --sat_out_clauses false
% 172.75/172.99
% 172.75/172.99 % ------ QBF Options
% 172.75/172.99
% 172.75/172.99 % --qbf_mode false
% 172.75/172.99 % --qbf_elim_univ true
% 172.75/172.99 % --qbf_sk_in true
% 172.75/172.99 % --qbf_pred_elim true
% 172.75/172.99 % --qbf_split 32
% 172.75/172.99
% 172.75/172.99 % ------ BMC1 Options
% 172.75/172.99
% 172.75/172.99 % --bmc1_incremental false
% 172.75/172.99 % --bmc1_axioms reachable_all
% 172.75/172.99 % --bmc1_min_bound 0
% 172.75/172.99 % --bmc1_max_bound -1
% 172.75/172.99 % --bmc1_max_bound_default -1
% 172.75/172.99 % --bmc1_symbol_reachability true
% 172.75/172.99 % --bmc1_property_lemmas false
% 172.75/172.99 % --bmc1_k_induction false
% 172.75/172.99 % --bmc1_non_equiv_states false
% 172.75/172.99 % --bmc1_deadlock false
% 172.75/172.99 % --bmc1_ucm false
% 172.75/172.99 % --bmc1_add_unsat_core none
% 172.75/172.99 % --bmc1_unsat_core_children false
% 172.75/172.99 % --bmc1_unsat_core_extrapolate_axioms false
% 172.75/172.99 % --bmc1_out_stat full
% 172.75/172.99 % --bmc1_ground_init false
% 172.75/172.99 % --bmc1_pre_inst_next_state false
% 172.75/172.99 % --bmc1_pre_inst_state false
% 172.75/172.99 % --bmc1_pre_inst_reach_state false
% 172.75/172.99 % --bmc1_out_unsat_core false
% 172.75/172.99 % --bmc1_aig_witness_out false
% 172.75/172.99 % --bmc1_verbose false
% 172.75/172.99 % --bmc1_dump_clauses_tptp false
% 172.75/172.99 % --bmc1_dump_unsat_core_tptp false
% 172.75/172.99 % --bmc1_dump_file -
% 172.75/172.99 % --bmc1_ucm_expand_uc_limit 128
% 172.75/172.99 % --bmc1_ucm_n_expand_iterations 6
% 172.75/172.99 % --bmc1_ucm_extend_mode 1
% 172.75/172.99 % --bmc1_ucm_init_mode 2
% 172.75/172.99 % --bmc1_ucm_cone_mode none
% 172.75/172.99 % --bmc1_ucm_reduced_relation_type 0
% 172.75/172.99 % --bmc1_ucm_relax_model 4
% 172.75/172.99 % --bmc1_ucm_full_tr_after_sat true
% 172.75/172.99 % --bmc1_ucm_expand_neg_assumptions false
% 172.75/172.99 % --bmc1_ucm_layered_model none
% 172.75/172.99 % --bmc1_ucm_max_lemma_size 10
% 172.75/172.99
% 172.75/172.99 % ------ AIG Options
% 172.75/172.99
% 172.75/172.99 % --aig_mode false
% 172.75/173.00
% 172.75/173.00 % ------ Instantiation Options
% 172.75/173.00
% 172.75/173.00 % --instantiation_flag true
% 172.75/173.00 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 172.75/173.00 % --inst_solver_per_active 750
% 172.75/173.00 % --inst_solver_calls_frac 0.5
% 172.75/173.00 % --inst_passive_queue_type priority_queues
% 172.75/173.00 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 172.75/173.00 % --inst_passive_queues_freq [25;2]
% 172.75/173.00 % --inst_dismatching true
% 172.75/173.00 % --inst_eager_unprocessed_to_passive true
% 172.75/173.00 % --inst_prop_sim_given true
% 172.75/173.00 % --inst_prop_sim_new false
% 172.75/173.00 % --inst_orphan_elimination true
% 172.75/173.00 % --inst_learning_loop_flag true
% 172.75/173.00 % --inst_learning_start 3000
% 172.75/173.00 % --inst_learning_factor 2
% 172.75/173.00 % --inst_start_prop_sim_after_learn 3
% 172.75/173.00 % --inst_sel_renew solver
% 172.75/173.00 % --inst_lit_activity_flag true
% 172.75/173.00 % --inst_out_proof true
% 172.75/173.00
% 172.75/173.00 % ------ Resolution Options
% 172.75/173.00
% 172.75/173.00 % --resolution_flag true
% 172.75/173.00 % --res_lit_sel kbo_max
% 172.75/173.00 % --res_to_prop_solver none
% 172.75/173.00 % --res_prop_simpl_new false
% 172.75/173.00 % --res_prop_simpl_given false
% 172.75/173.00 % --res_passive_queue_type priority_queues
% 172.75/173.00 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 172.75/173.00 % --res_passive_queues_freq [15;5]
% 172.75/173.00 % --res_forward_subs full
% 172.75/173.00 % --res_backward_subs full
% 172.75/173.00 % --res_forward_subs_resolution true
% 172.75/173.00 % --res_backward_subs_resolution true
% 172.75/173.00 % --res_orphan_elimination false
% 172.75/173.00 % --res_time_limit 1000.
% 172.75/173.00 % --res_out_proof true
% 172.75/173.00 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_11addd.s
% 172.75/173.00 % --modulo true
% 172.75/173.00
% 172.75/173.00 % ------ Combination Options
% 172.75/173.00
% 172.75/173.00 % --comb_res_mult 1000
% 172.75/173.00 % --comb_inst_mult 300
% 172.75/173.00 % ------
% 172.75/173.00
% 172.75/173.00
% 172.75/173.00
% 172.75/173.00 % ------ Proving...
% 172.75/173.00 % warning: shown sat in sat incomplete mode
% 172.75/173.00 %
% 172.75/173.00
% 172.75/173.00
% 172.75/173.00
% 172.75/173.00
% 172.75/173.00 cnf(c_1720,plain,
% 172.75/173.00 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.75/173.00 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.75/173.00 | c_Finite__Set_Olattice__class_OSup__fin(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),c_Lattices_Olower__semilattice__class_Oinf(X1)))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))))),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Finite__Set_Olattice__class_OSup__fin(X0,X1)),c_Finite__Set_Olattice__class_OSup__fin(X2,X1))
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X0,X1)
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X2,X1)
% 172.75/173.00 | ~ class_Lattices_Odistrib__lattice(X1) ),
% 172.75/173.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3186_5) ).
% 172.75/173.00
% 172.75/173.00 cnf(c_7293,plain,
% 172.75/173.00 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.75/173.00 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.75/173.00 | c_Finite__Set_Olattice__class_OSup__fin(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),c_Lattices_Olower__semilattice__class_Oinf(X1)))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))))),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),c_Finite__Set_Olattice__class_OSup__fin(X0,X1)),c_Finite__Set_Olattice__class_OSup__fin(X2,X1))
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X0,X1)
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X2,X1)
% 172.75/173.00 | ~ class_Lattices_Odistrib__lattice(X1) ),
% 172.75/173.00 inference(copy,[status(esa)],[c_1720]) ).
% 172.75/173.00
% 172.75/173.00 cnf(c_7294,plain,
% 172.75/173.00 ( ~ class_Lattices_Odistrib__lattice(X0)
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X2,X0)
% 172.75/173.00 | c_Finite__Set_Olattice__class_OSup__fin(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),tc_fun(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBS(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBS(X0,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),tc_fun(tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBB(tc_fun(X0,X0),tc_fun(X0,tc_bool),X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),X0),c_COMBB(X0,tc_bool,X0)),c_fequal(X0)))),c_Lattices_Olower__semilattice__class_Oinf(X0)))))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBB(tc_bool,tc_bool,X0)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X2)))))),X0) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),c_Finite__Set_Olattice__class_OSup__fin(X1,X0)),c_Finite__Set_Olattice__class_OSup__fin(X2,X0))
% 172.75/173.00 | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.75/173.00 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.75/173.00 inference(rewriting,[status(thm)],[c_7293]) ).
% 172.75/173.00
% 172.75/173.00 cnf(c_1714,plain,
% 172.75/173.00 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.75/173.00 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.75/173.00 | c_Finite__Set_Olattice__class_OInf__fin(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),c_Lattices_Oupper__semilattice__class_Osup(X1)))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))))),X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Finite__Set_Olattice__class_OInf__fin(X0,X1)),c_Finite__Set_Olattice__class_OInf__fin(X2,X1))
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X0,X1)
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X2,X1)
% 172.75/173.00 | ~ class_Lattices_Odistrib__lattice(X1) ),
% 172.75/173.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3187_5) ).
% 172.75/173.00
% 172.75/173.00 cnf(c_7281,plain,
% 172.75/173.00 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.75/173.00 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.75/173.00 | c_Finite__Set_Olattice__class_OInf__fin(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),c_Lattices_Oupper__semilattice__class_Osup(X1)))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))))),X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),c_Finite__Set_Olattice__class_OInf__fin(X0,X1)),c_Finite__Set_Olattice__class_OInf__fin(X2,X1))
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X0,X1)
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X2,X1)
% 172.75/173.00 | ~ class_Lattices_Odistrib__lattice(X1) ),
% 172.75/173.00 inference(copy,[status(esa)],[c_1714]) ).
% 172.75/173.00
% 172.75/173.00 cnf(c_7282,plain,
% 172.75/173.00 ( ~ class_Lattices_Odistrib__lattice(X0)
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X2,X0)
% 172.75/173.00 | c_Finite__Set_Olattice__class_OInf__fin(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),tc_fun(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBS(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBS(X0,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),tc_fun(tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBB(tc_fun(X0,X0),tc_fun(X0,tc_bool),X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),X0),c_COMBB(X0,tc_bool,X0)),c_fequal(X0)))),c_Lattices_Oupper__semilattice__class_Osup(X0)))))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBB(tc_bool,tc_bool,X0)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X2)))))),X0) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),c_Finite__Set_Olattice__class_OInf__fin(X1,X0)),c_Finite__Set_Olattice__class_OInf__fin(X2,X0))
% 172.75/173.00 | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.75/173.00 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.75/173.00 inference(rewriting,[status(thm)],[c_7281]) ).
% 172.75/173.00
% 172.75/173.00 cnf(c_1708,plain,
% 172.75/173.00 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.75/173.00 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.75/173.00 | hAPP(hAPP(X3,c_Finite__Set_Olattice_OInf__fin(X4,X0,X1)),c_Finite__Set_Olattice_OInf__fin(X4,X2,X1)) = c_Finite__Set_Olattice_OInf__fin(X4,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),X3))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))))),X1)
% 172.75/173.00 | ~ c_Lattices_Odistrib__lattice(X5,X6,X4,X3,X1)
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X0,X1)
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X2,X1) ),
% 172.75/173.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3188_5) ).
% 172.75/173.00
% 172.75/173.00 cnf(c_7269,plain,
% 172.75/173.00 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.75/173.00 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.75/173.00 | hAPP(hAPP(X3,c_Finite__Set_Olattice_OInf__fin(X4,X0,X1)),c_Finite__Set_Olattice_OInf__fin(X4,X2,X1)) = c_Finite__Set_Olattice_OInf__fin(X4,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),X3))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))))),X1)
% 172.75/173.00 | ~ c_Lattices_Odistrib__lattice(X5,X6,X4,X3,X1)
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X0,X1)
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X2,X1) ),
% 172.75/173.00 inference(copy,[status(esa)],[c_1708]) ).
% 172.75/173.00
% 172.75/173.00 cnf(c_7270,plain,
% 172.75/173.00 ( ~ c_Finite__Set_Ofinite(X0,X1)
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X2,X1)
% 172.75/173.00 | ~ c_Lattices_Odistrib__lattice(X3,X4,X5,X6,X1)
% 172.75/173.00 | hAPP(hAPP(X6,c_Finite__Set_Olattice_OInf__fin(X5,X0,X1)),c_Finite__Set_Olattice_OInf__fin(X5,X2,X1)) = c_Finite__Set_Olattice_OInf__fin(X5,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),X6))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))))),X1)
% 172.75/173.00 | X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.75/173.00 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
% 172.75/173.00 inference(rewriting,[status(thm)],[c_7269]) ).
% 172.75/173.00
% 172.75/173.00 cnf(c_1702,plain,
% 172.75/173.00 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.75/173.00 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.75/173.00 | hAPP(hAPP(X3,c_Finite__Set_Olattice_OSup__fin(X4,X0,X1)),c_Finite__Set_Olattice_OSup__fin(X4,X2,X1)) = c_Finite__Set_Olattice_OSup__fin(X4,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),X3))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))))),X1)
% 172.75/173.00 | ~ c_Lattices_Odistrib__lattice(X5,X6,X3,X4,X1)
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X0,X1)
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X2,X1) ),
% 172.75/173.00 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3189_5) ).
% 172.75/173.00
% 172.75/173.00 cnf(c_7257,plain,
% 172.75/173.00 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.75/173.00 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.75/173.00 | hAPP(hAPP(X3,c_Finite__Set_Olattice_OSup__fin(X4,X0,X1)),c_Finite__Set_Olattice_OSup__fin(X4,X2,X1)) = c_Finite__Set_Olattice_OSup__fin(X4,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),X3))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))))),X1)
% 172.75/173.00 | ~ c_Lattices_Odistrib__lattice(X5,X6,X3,X4,X1)
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X0,X1)
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X2,X1) ),
% 172.75/173.00 inference(copy,[status(esa)],[c_1702]) ).
% 172.75/173.00
% 172.75/173.00 cnf(c_7258,plain,
% 172.75/173.00 ( ~ c_Finite__Set_Ofinite(X0,X1)
% 172.75/173.00 | ~ c_Finite__Set_Ofinite(X2,X1)
% 172.75/173.00 | ~ c_Lattices_Odistrib__lattice(X3,X4,X5,X6,X1)
% 172.75/173.00 | hAPP(hAPP(X5,c_Finite__Set_Olattice_OSup__fin(X6,X0,X1)),c_Finite__Set_Olattice_OSup__fin(X6,X2,X1)) = c_Finite__Set_Olattice_OSup__fin(X6,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),X5))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))))),X1)
% 172.75/173.01 | X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.75/173.01 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
% 172.75/173.01 inference(rewriting,[status(thm)],[c_7257]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_1641,plain,
% 172.75/173.01 ( X0 = X1
% 172.75/173.01 | ~ c_Lattices_Oboolean__algebra(X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 172.75/173.01 | hAPP(X3,X0) != hAPP(X3,X1) ),
% 172.75/173.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3216_2) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_7135,plain,
% 172.75/173.01 ( X0 = X1
% 172.75/173.01 | ~ c_Lattices_Oboolean__algebra(X2,X3,X4,X5,X6,X7,X8,X9,X10)
% 172.75/173.01 | hAPP(X3,X0) != hAPP(X3,X1) ),
% 172.75/173.01 inference(copy,[status(esa)],[c_1641]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_7136,plain,
% 172.75/173.01 ( ~ c_Lattices_Oboolean__algebra(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.75/173.01 | hAPP(X1,X9) != hAPP(X1,X10)
% 172.75/173.01 | X9 = X10 ),
% 172.75/173.01 inference(rewriting,[status(thm)],[c_7135]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_1603,plain,
% 172.75/173.01 ( hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),hAPP(hAPP(c_COMBS(X0,tc_fun(X2,tc_bool),X1),hAPP(hAPP(c_COMBB(tc_fun(X2,X1),tc_fun(tc_fun(X2,tc_bool),X1),X0),c_Finite__Set_Osetsum(X2,X1)),X3)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X0),c_Collect(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X0),hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X4)))),X5)))),X6) = hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),hAPP(hAPP(c_COMBS(X2,tc_fun(X0,tc_bool),X1),hAPP(hAPP(c_COMBB(tc_fun(X0,X1),tc_fun(tc_fun(X0,tc_bool),X1),X2),c_Finite__Set_Osetsum(X0,X1)),hAPP(c_COMBC(X0,X2,X1),X3))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool),X2),c_Collect(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool),X2),hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X6)))),hAPP(c_COMBC(X0,X2,tc_bool),X5))))),X4)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(X6,X0)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(X4,X2)
% 172.75/173.01 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 172.75/173.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3229_3) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_7059,plain,
% 172.75/173.01 ( hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),hAPP(hAPP(c_COMBS(X0,tc_fun(X2,tc_bool),X1),hAPP(hAPP(c_COMBB(tc_fun(X2,X1),tc_fun(tc_fun(X2,tc_bool),X1),X0),c_Finite__Set_Osetsum(X2,X1)),X3)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X0),c_Collect(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X0),hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X4)))),X5)))),X6) = hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),hAPP(hAPP(c_COMBS(X2,tc_fun(X0,tc_bool),X1),hAPP(hAPP(c_COMBB(tc_fun(X0,X1),tc_fun(tc_fun(X0,tc_bool),X1),X2),c_Finite__Set_Osetsum(X0,X1)),hAPP(c_COMBC(X0,X2,X1),X3))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool),X2),c_Collect(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool),X2),hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X6)))),hAPP(c_COMBC(X0,X2,tc_bool),X5))))),X4)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(X6,X0)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(X4,X2)
% 172.75/173.01 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 172.75/173.01 inference(copy,[status(esa)],[c_1603]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_7060,plain,
% 172.75/173.01 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(X1,X2)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(X3,X4)
% 172.75/173.01 | hAPP(hAPP(c_Finite__Set_Osetsum(X2,X0),hAPP(hAPP(c_COMBS(X2,tc_fun(X4,tc_bool),X0),hAPP(hAPP(c_COMBB(tc_fun(X4,X0),tc_fun(tc_fun(X4,tc_bool),X0),X2),c_Finite__Set_Osetsum(X4,X0)),X5)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool),X2),c_Collect(X4)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool),X2),hAPP(c_COMBS(X4,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X4),c_and),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_bool),tc_bool),c_in(X4)),X3)))),X6)))),X1) = hAPP(hAPP(c_Finite__Set_Osetsum(X4,X0),hAPP(hAPP(c_COMBS(X4,tc_fun(X2,tc_bool),X0),hAPP(hAPP(c_COMBB(tc_fun(X2,X0),tc_fun(tc_fun(X2,tc_bool),X0),X4),c_Finite__Set_Osetsum(X2,X0)),hAPP(c_COMBC(X2,X4,X0),X5))),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X4),c_Collect(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X4),hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X1)))),hAPP(c_COMBC(X2,X4,tc_bool),X6))))),X3) ),
% 172.75/173.01 inference(rewriting,[status(thm)],[c_7059]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_1593,plain,
% 172.75/173.01 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBC(X0,X1,tc_bool),X2),X3)),X0)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(X4,X1)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X0),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X0),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X4)))),X2))),X0)
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X4)) ),
% 172.75/173.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3233_3) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_7039,plain,
% 172.75/173.01 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBC(X0,X1,tc_bool),X2),X3)),X0)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(X4,X1)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X0),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X0),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X4)))),X2))),X0)
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(c_in(X1),X3),X4)) ),
% 172.75/173.01 inference(copy,[status(esa)],[c_1593]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_7040,plain,
% 172.75/173.01 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.75/173.01 | c_Finite__Set_Ofinite(hAPP(c_Collect(X3),hAPP(hAPP(c_COMBC(X3,X0,tc_bool),X4),X1)),X3)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X3),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X3),c_Ex(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool),X3),hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X2)))),X4))),X3)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(X2,X0) ),
% 172.75/173.01 inference(rewriting,[status(thm)],[c_7039]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_1575,plain,
% 172.75/173.01 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBC(X0,X1,tc_bool),X2),X3)),X0)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X1),X4),X1)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X0),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X0),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X4))),X2))),X0)
% 172.75/173.01 | ~ hBOOL(hAPP(X4,X3)) ),
% 172.75/173.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3245_3) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_7003,plain,
% 172.75/173.01 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBC(X0,X1,tc_bool),X2),X3)),X0)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X1),X4),X1)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X0),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X0),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X4))),X2))),X0)
% 172.75/173.01 | ~ hBOOL(hAPP(X4,X3)) ),
% 172.75/173.01 inference(copy,[status(esa)],[c_1575]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_7004,plain,
% 172.75/173.01 ( ~ hBOOL(hAPP(X0,X1))
% 172.75/173.01 | c_Finite__Set_Ofinite(hAPP(c_Collect(X2),hAPP(hAPP(c_COMBC(X2,X3,tc_bool),X4),X1)),X2)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X2),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_bool,X2),c_Ex(X3)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X2),hAPP(c_COMBS(X3,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X3),c_and),X0))),X4))),X2)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X3),X0),X3) ),
% 172.75/173.01 inference(rewriting,[status(thm)],[c_7003]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_1533,plain,
% 172.75/173.01 ( hBOOL(hAPP(hAPP(X0,X1),c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__existence__1__1(X0,X1,X2,X3,X4)))
% 172.75/173.01 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(hAPP(c_COMBS(X3,tc_fun(X4,tc_bool),X4),hAPP(hAPP(c_COMBB(X4,tc_fun(tc_fun(X4,tc_bool),X4),X3),c_FunDef_OTHE__default(X4)),X5)),X0),X1)))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X2)) ),
% 172.75/173.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3269_2) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6919,plain,
% 172.75/173.01 ( hBOOL(hAPP(hAPP(X0,X1),c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__existence__1__1(X0,X1,X2,X3,X4)))
% 172.75/173.01 | hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(hAPP(c_COMBS(X3,tc_fun(X4,tc_bool),X4),hAPP(hAPP(c_COMBB(X4,tc_fun(tc_fun(X4,tc_bool),X4),X3),c_FunDef_OTHE__default(X4)),X5)),X0),X1)))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X2)) ),
% 172.75/173.01 inference(copy,[status(esa)],[c_1533]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6920,plain,
% 172.75/173.01 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_bool),X3),hAPP(hAPP(c_COMBB(X3,tc_fun(tc_fun(X3,tc_bool),X3),X2),c_FunDef_OTHE__default(X3)),X4)),X0),X1)))
% 172.75/173.01 | hBOOL(hAPP(hAPP(X0,X1),c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__existence__1__1(X0,X1,X5,X2,X3)))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X5)) ),
% 172.75/173.01 inference(rewriting,[status(thm)],[c_6919]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_1521,plain,
% 172.75/173.01 ( hBOOL(hAPP(hAPP(X0,X1),c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__uniqueness__1__1(X0,X1,X2,X3,X4)))
% 172.75/173.01 | hAPP(X5,X1) = hAPP(hAPP(hAPP(c_COMBS(X3,tc_fun(X4,tc_bool),X4),hAPP(hAPP(c_COMBB(X4,tc_fun(tc_fun(X4,tc_bool),X4),X3),c_FunDef_OTHE__default(X4)),X6)),X0),X1)
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(X5,X1))) ),
% 172.75/173.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3282_3) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6895,plain,
% 172.75/173.01 ( hBOOL(hAPP(hAPP(X0,X1),c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__uniqueness__1__1(X0,X1,X2,X3,X4)))
% 172.75/173.01 | hAPP(X5,X1) = hAPP(hAPP(hAPP(c_COMBS(X3,tc_fun(X4,tc_bool),X4),hAPP(hAPP(c_COMBB(X4,tc_fun(tc_fun(X4,tc_bool),X4),X3),c_FunDef_OTHE__default(X4)),X6)),X0),X1)
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(X5,X1))) ),
% 172.75/173.01 inference(copy,[status(esa)],[c_1521]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6896,plain,
% 172.75/173.01 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(X2,X1)))
% 172.75/173.01 | hBOOL(hAPP(hAPP(X0,X1),c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__uniqueness__1__1(X0,X1,X3,X4,X5)))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 172.75/173.01 | hAPP(X2,X1) = hAPP(hAPP(hAPP(c_COMBS(X4,tc_fun(X5,tc_bool),X5),hAPP(hAPP(c_COMBB(X5,tc_fun(tc_fun(X5,tc_bool),X5),X4),c_FunDef_OTHE__default(X5)),X6)),X0),X1) ),
% 172.75/173.01 inference(rewriting,[status(thm)],[c_6895]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_1518,plain,
% 172.75/173.01 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.01 | hBOOL(hAPP(hAPP(X0,X1),c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1(X0,X1,X3,X4,X5)))
% 172.75/173.01 | hAPP(hAPP(hAPP(c_COMBS(X4,tc_fun(X5,tc_bool),X5),hAPP(hAPP(c_COMBB(X5,tc_fun(tc_fun(X5,tc_bool),X5),X4),c_FunDef_OTHE__default(X5)),X6)),X0),X1) = X2
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X3)) ),
% 172.75/173.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3283_2) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6889,plain,
% 172.75/173.01 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.01 | hBOOL(hAPP(hAPP(X0,X1),c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1(X0,X1,X3,X4,X5)))
% 172.75/173.01 | hAPP(hAPP(hAPP(c_COMBS(X4,tc_fun(X5,tc_bool),X5),hAPP(hAPP(c_COMBB(X5,tc_fun(tc_fun(X5,tc_bool),X5),X4),c_FunDef_OTHE__default(X5)),X6)),X0),X1) = X2
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X3)) ),
% 172.75/173.01 inference(copy,[status(esa)],[c_1518]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6890,plain,
% 172.75/173.01 ( hBOOL(hAPP(hAPP(X0,X1),c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1(X0,X1,X2,X3,X4)))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X5))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.01 | hAPP(hAPP(hAPP(c_COMBS(X3,tc_fun(X4,tc_bool),X4),hAPP(hAPP(c_COMBB(X4,tc_fun(tc_fun(X4,tc_bool),X4),X3),c_FunDef_OTHE__default(X4)),X6)),X0),X1) = X5 ),
% 172.75/173.01 inference(rewriting,[status(thm)],[c_6889]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_1517,plain,
% 172.75/173.01 ( hBOOL(hAPP(hAPP(X0,X1),c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1(X0,X1,X2,X3,X4)))
% 172.75/173.01 | hAPP(hAPP(hAPP(c_COMBS(X3,tc_fun(X4,tc_bool),X4),hAPP(hAPP(c_COMBB(X4,tc_fun(tc_fun(X4,tc_bool),X4),X3),c_FunDef_OTHE__default(X4)),X5)),X0),X1) = X6
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X6)) ),
% 172.75/173.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3283_3) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6887,plain,
% 172.75/173.01 ( hBOOL(hAPP(hAPP(X0,X1),c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1(X0,X1,X2,X3,X4)))
% 172.75/173.01 | hAPP(hAPP(hAPP(c_COMBS(X3,tc_fun(X4,tc_bool),X4),hAPP(hAPP(c_COMBB(X4,tc_fun(tc_fun(X4,tc_bool),X4),X3),c_FunDef_OTHE__default(X4)),X5)),X0),X1) = X6
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X6)) ),
% 172.75/173.01 inference(copy,[status(esa)],[c_1517]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6888,plain,
% 172.75/173.01 ( hBOOL(hAPP(hAPP(X0,X1),c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1(X0,X1,X2,X3,X4)))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X5))
% 172.75/173.01 | hAPP(hAPP(hAPP(c_COMBS(X3,tc_fun(X4,tc_bool),X4),hAPP(hAPP(c_COMBB(X4,tc_fun(tc_fun(X4,tc_bool),X4),X3),c_FunDef_OTHE__default(X4)),X6)),X0),X1) = X5 ),
% 172.75/173.01 inference(rewriting,[status(thm)],[c_6887]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_1495,plain,
% 172.75/173.01 ( hAPP(X0,X1) = hAPP(hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_bool),X3),hAPP(hAPP(c_COMBB(X3,tc_fun(tc_fun(X3,tc_bool),X3),X2),c_FunDef_OTHE__default(X3)),X4)),X5),X1)
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X5,X1),hAPP(X0,X1)))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X5,X1),X6))
% 172.75/173.01 | c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__uniqueness__1__1(X5,X1,X6,X2,X3) != X6 ),
% 172.75/173.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3306_3) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6843,plain,
% 172.75/173.01 ( hAPP(X0,X1) = hAPP(hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_bool),X3),hAPP(hAPP(c_COMBB(X3,tc_fun(tc_fun(X3,tc_bool),X3),X2),c_FunDef_OTHE__default(X3)),X4)),X5),X1)
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X5,X1),hAPP(X0,X1)))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X5,X1),X6))
% 172.75/173.01 | c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__uniqueness__1__1(X5,X1,X6,X2,X3) != X6 ),
% 172.75/173.01 inference(copy,[status(esa)],[c_1495]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6844,plain,
% 172.75/173.01 ( ~ hBOOL(hAPP(hAPP(X0,X1),hAPP(X2,X1)))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 172.75/173.01 | hAPP(X2,X1) = hAPP(hAPP(hAPP(c_COMBS(X4,tc_fun(X5,tc_bool),X5),hAPP(hAPP(c_COMBB(X5,tc_fun(tc_fun(X5,tc_bool),X5),X4),c_FunDef_OTHE__default(X5)),X6)),X0),X1)
% 172.75/173.01 | c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__uniqueness__1__1(X0,X1,X3,X4,X5) != X3 ),
% 172.75/173.01 inference(rewriting,[status(thm)],[c_6843]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_1491,plain,
% 172.75/173.01 ( c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1(X0,X1,X2,X3,X4) != X2
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.01 | hAPP(hAPP(hAPP(c_COMBS(X3,tc_fun(X4,tc_bool),X4),hAPP(hAPP(c_COMBB(X4,tc_fun(tc_fun(X4,tc_bool),X4),X3),c_FunDef_OTHE__default(X4)),X5)),X0),X1) = X6
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X6)) ),
% 172.75/173.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3308_1) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6835,plain,
% 172.75/173.01 ( c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1(X0,X1,X2,X3,X4) != X2
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.01 | hAPP(hAPP(hAPP(c_COMBS(X3,tc_fun(X4,tc_bool),X4),hAPP(hAPP(c_COMBB(X4,tc_fun(tc_fun(X4,tc_bool),X4),X3),c_FunDef_OTHE__default(X4)),X5)),X0),X1) = X6
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X6)) ),
% 172.75/173.01 inference(copy,[status(esa)],[c_1491]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6836,plain,
% 172.75/173.01 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 172.75/173.01 | hAPP(hAPP(hAPP(c_COMBS(X4,tc_fun(X5,tc_bool),X5),hAPP(hAPP(c_COMBB(X5,tc_fun(tc_fun(X5,tc_bool),X5),X4),c_FunDef_OTHE__default(X5)),X6)),X0),X1) = X3
% 172.75/173.01 | c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1(X0,X1,X2,X4,X5) != X2 ),
% 172.75/173.01 inference(rewriting,[status(thm)],[c_6835]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_1489,plain,
% 172.75/173.01 ( hAPP(hAPP(hAPP(c_COMBS(X0,tc_fun(X1,tc_bool),X1),hAPP(hAPP(c_COMBB(X1,tc_fun(tc_fun(X1,tc_bool),X1),X0),c_FunDef_OTHE__default(X1)),X2)),X3),X4) = X5
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X3,X4),X5))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X3,X4),X6))
% 172.75/173.01 | c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1(X3,X4,X6,X0,X1) != X6 ),
% 172.75/173.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3308_3) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6831,plain,
% 172.75/173.01 ( hAPP(hAPP(hAPP(c_COMBS(X0,tc_fun(X1,tc_bool),X1),hAPP(hAPP(c_COMBB(X1,tc_fun(tc_fun(X1,tc_bool),X1),X0),c_FunDef_OTHE__default(X1)),X2)),X3),X4) = X5
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X3,X4),X5))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X3,X4),X6))
% 172.75/173.01 | c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1(X3,X4,X6,X0,X1) != X6 ),
% 172.75/173.01 inference(copy,[status(esa)],[c_1489]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6832,plain,
% 172.75/173.01 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(X0,X1),X3))
% 172.75/173.01 | hAPP(hAPP(hAPP(c_COMBS(X4,tc_fun(X5,tc_bool),X5),hAPP(hAPP(c_COMBB(X5,tc_fun(tc_fun(X5,tc_bool),X5),X4),c_FunDef_OTHE__default(X5)),X6)),X0),X1) = X2
% 172.75/173.01 | c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1(X0,X1,X3,X4,X5) != X3 ),
% 172.75/173.01 inference(rewriting,[status(thm)],[c_6831]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_1482,plain,
% 172.75/173.01 ( ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X1),X0)
% 172.75/173.01 | c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_or),X2)),X1)),X0)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X2),X0) ),
% 172.75/173.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3311_1) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6817,plain,
% 172.75/173.01 ( ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X1),X0)
% 172.75/173.01 | c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_or),X2)),X1)),X0)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X2),X0) ),
% 172.75/173.01 inference(copy,[status(esa)],[c_1482]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6818,plain,
% 172.75/173.01 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_or),X1)),X2)),X0)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X2),X0)
% 172.75/173.01 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X1),X0) ),
% 172.75/173.01 inference(rewriting,[status(thm)],[c_6817]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_1466,plain,
% 172.75/173.01 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X1),X2)),X3))
% 172.75/173.01 | hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X4),X2)),X3))
% 172.75/173.01 | ~ hBOOL(c_Relation_Otrans(X3,X0))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X4),X1)),X3)) ),
% 172.75/173.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3323_2) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6785,plain,
% 172.75/173.01 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X1),X2)),X3))
% 172.75/173.01 | hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X4),X2)),X3))
% 172.75/173.01 | ~ hBOOL(c_Relation_Otrans(X3,X0))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X4),X1)),X3)) ),
% 172.75/173.01 inference(copy,[status(esa)],[c_1466]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6786,plain,
% 172.75/173.01 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X1),X2)),X3))
% 172.75/173.01 | hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X4),X2)),X3))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X4),X1)),X3))
% 172.75/173.01 | ~ hBOOL(c_Relation_Otrans(X3,X0)) ),
% 172.75/173.01 inference(rewriting,[status(thm)],[c_6785]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_1465,plain,
% 172.75/173.01 ( hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X1),X2)),X3))
% 172.75/173.01 | ~ hBOOL(c_Relation_Otrans(X3,X0))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X1),X4)),X3))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X4),X2)),X3)) ),
% 172.75/173.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3323_3) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6783,plain,
% 172.75/173.01 ( hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X1),X2)),X3))
% 172.75/173.01 | ~ hBOOL(c_Relation_Otrans(X3,X0))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X1),X4)),X3))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X4),X2)),X3)) ),
% 172.75/173.01 inference(copy,[status(esa)],[c_1465]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6784,plain,
% 172.75/173.01 ( hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X1),X2)),X3))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X1),X4)),X3))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X4),X2)),X3))
% 172.75/173.01 | ~ hBOOL(c_Relation_Otrans(X3,X0)) ),
% 172.75/173.01 inference(rewriting,[status(thm)],[c_6783]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_1462,plain,
% 172.75/173.01 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3)),X4))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X3),X5)),X1),X4))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X2),X5)) ),
% 172.75/173.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3325_2) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6777,plain,
% 172.75/173.01 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),hAPP(hAPP(hAPP(c_Lambda_Osubst,X1),X2),X3)),X4))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X3),X5)),X1),X4))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X2),X5)) ),
% 172.75/173.01 inference(copy,[status(esa)],[c_1462]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6778,plain,
% 172.75/173.01 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X1),X2)),X3),X4))
% 172.75/173.01 | hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X5),X1)),X4))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X5),X2)) ),
% 172.75/173.01 inference(rewriting,[status(thm)],[c_6777]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_1459,plain,
% 172.75/173.01 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),X3),X0))
% 172.75/173.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 172.75/173.01 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X5)))
% 172.75/173.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X4))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X2),X5),X0)),X4),X6)) ),
% 172.75/173.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3327_2) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6771,plain,
% 172.75/173.01 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),X3),X0))
% 172.75/173.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 172.75/173.01 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X5)))
% 172.75/173.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X4))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X2),X5),X0)),X4),X6)) ),
% 172.75/173.01 inference(copy,[status(esa)],[c_1459]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6772,plain,
% 172.75/173.01 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X1),X2)),X3),X4))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X5),X2))
% 172.75/173.01 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X5),X1)))
% 172.75/173.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X5))
% 172.75/173.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 172.75/173.01 | c_Type_Otype_OFun(X2,X6) != v_T____ ),
% 172.75/173.01 inference(rewriting,[status(thm)],[c_6771]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_1456,plain,
% 172.75/173.01 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 172.75/173.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X3),X2),X4)),X0),X5))
% 172.75/173.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X3),X1),X4))
% 172.75/173.01 | c_Type_Otype_OFun(X4,X6) != v_T____ ),
% 172.75/173.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3327_5) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6765,plain,
% 172.75/173.01 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 172.75/173.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X3),X2),X4)),X0),X5))
% 172.75/173.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X3),X1),X4))
% 172.75/173.01 | c_Type_Otype_OFun(X4,X6) != v_T____ ),
% 172.75/173.01 inference(copy,[status(esa)],[c_1456]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6766,plain,
% 172.75/173.01 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X1),X2)),X3),X4))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X5),X2))
% 172.75/173.01 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X5),X1)))
% 172.75/173.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 172.75/173.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X5))
% 172.75/173.01 | c_Type_Otype_OFun(X2,X6) != v_T____ ),
% 172.75/173.01 inference(rewriting,[status(thm)],[c_6765]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_1453,plain,
% 172.75/173.01 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),X3),X1))
% 172.75/173.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 172.75/173.01 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X5)))
% 172.75/173.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X4))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X2),X5),X1)),X4),X6)) ),
% 172.75/173.01 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3328_2) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6759,plain,
% 172.75/173.01 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),X3),X1))
% 172.75/173.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 172.75/173.01 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X4),X3),X5)))
% 172.75/173.01 | ~ hBOOL(hAPP(c_InductTermi_OIT,X4))
% 172.75/173.01 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X2),X5),X1)),X4),X6)) ),
% 172.75/173.01 inference(copy,[status(esa)],[c_1453]) ).
% 172.75/173.01
% 172.75/173.01 cnf(c_6760,plain,
% 172.75/173.01 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X1),X2)),X3),X4))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X5),X2))
% 172.75/173.02 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X5),X1)))
% 172.75/173.02 | ~ hBOOL(hAPP(c_InductTermi_OIT,X5))
% 172.75/173.02 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 172.75/173.02 | c_Type_Otype_OFun(X6,X2) != v_T____ ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6759]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1450,plain,
% 172.75/173.02 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 172.75/173.02 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X3),X2),X4)),X0),X5))
% 172.75/173.02 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X3),X1),X4))
% 172.75/173.02 | c_Type_Otype_OFun(X6,X4) != v_T____ ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3328_5) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6753,plain,
% 172.75/173.02 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2)))
% 172.75/173.02 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X3),X2),X4)),X0),X5))
% 172.75/173.02 | ~ hBOOL(hAPP(c_InductTermi_OIT,X1))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X3),X1),X4))
% 172.75/173.02 | c_Type_Otype_OFun(X6,X4) != v_T____ ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1450]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6754,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X1),X2)),X3),X4))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X5),X2))
% 172.75/173.02 | hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X5),X1)))
% 172.75/173.02 | ~ hBOOL(hAPP(c_InductTermi_OIT,X3))
% 172.75/173.02 | ~ hBOOL(hAPP(c_InductTermi_OIT,X5))
% 172.75/173.02 | c_Type_Otype_OFun(X6,X2) != v_T____ ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6753]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1440,plain,
% 172.75/173.02 ( X0 = X1
% 172.75/173.02 | ~ hBOOL(c_Relation_Osingle__valued(X2,X3,X4))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X4)),hAPP(hAPP(c_Pair(X3,X4),X5),X0)),X2))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X4)),hAPP(hAPP(c_Pair(X3,X4),X5),X1)),X2)) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3332_3) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6733,plain,
% 172.75/173.02 ( X0 = X1
% 172.75/173.02 | ~ hBOOL(c_Relation_Osingle__valued(X2,X3,X4))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X4)),hAPP(hAPP(c_Pair(X3,X4),X5),X0)),X2))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X4)),hAPP(hAPP(c_Pair(X3,X4),X5),X1)),X2)) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1440]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6734,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X1)),hAPP(hAPP(c_Pair(X0,X1),X2),X3)),X4))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X1)),hAPP(hAPP(c_Pair(X0,X1),X2),X5)),X4))
% 172.75/173.02 | ~ hBOOL(c_Relation_Osingle__valued(X4,X0,X1))
% 172.75/173.02 | X3 = X5 ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6733]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1432,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_fun(X4,tc_bool))),X5),X0),X1),X2))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(X5,X1),X2)) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3340_1) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6717,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_fun(X4,tc_bool))),X5),X0),X1),X2))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(X5,X1),X2)) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1432]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6718,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_fun(X1,tc_bool))),X2),X3),X4),X5))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(X3,X4),X5))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(X2,X4),X5)) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6717]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1423,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X1)),hAPP(hAPP(c_Pair(X0,X1),X2),X3)),c_Product__Type_OSigma(X4,X5,X0,X1)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X0),X2),X4))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X1),X3),hAPP(X5,X2))) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3344_2) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6699,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X1)),hAPP(hAPP(c_Pair(X0,X1),X2),X3)),c_Product__Type_OSigma(X4,X5,X0,X1)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X0),X2),X4))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X1),X3),hAPP(X5,X2))) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1423]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6700,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X1)),hAPP(hAPP(c_Pair(X0,X1),X2),X3)),c_Product__Type_OSigma(X4,X5,X0,X1)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X1),X3),hAPP(X5,X2)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X0),X2),X4)) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6699]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1412,plain,
% 172.75/173.02 ( hAPP(X0,X1) = hAPP(X2,X1)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),hAPP(hAPP(c_Pair(X3,X3),X1),X4)),X5))
% 172.75/173.02 | hAPP(hAPP(hAPP(c_Recdef_Ocut(X3,X6),X0),X5),X4) != hAPP(hAPP(hAPP(c_Recdef_Ocut(X3,X6),X2),X5),X4) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3351_2) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6677,plain,
% 172.75/173.02 ( hAPP(X0,X1) = hAPP(X2,X1)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X3,X3)),hAPP(hAPP(c_Pair(X3,X3),X1),X4)),X5))
% 172.75/173.02 | hAPP(hAPP(hAPP(c_Recdef_Ocut(X3,X6),X0),X5),X4) != hAPP(hAPP(hAPP(c_Recdef_Ocut(X3,X6),X2),X5),X4) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1412]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6678,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X1),X2)),X3))
% 172.75/173.02 | hAPP(hAPP(hAPP(c_Recdef_Ocut(X0,X4),X5),X3),X2) != hAPP(hAPP(hAPP(c_Recdef_Ocut(X0,X4),X6),X3),X2)
% 172.75/173.02 | hAPP(X5,X1) = hAPP(X6,X1) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6677]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1388,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(X1,X2)),hAPP(X1,X3))),hAPP(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X4),X2),X3))))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Omono(X1,X4,X0))
% 172.75/173.02 | ~ class_Lattices_Oupper__semilattice(X0)
% 172.75/173.02 | ~ class_Lattices_Oupper__semilattice(X4) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3372_3) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6629,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(X1,X2)),hAPP(X1,X3))),hAPP(X1,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X4),X2),X3))))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Omono(X1,X4,X0))
% 172.75/173.02 | ~ class_Lattices_Oupper__semilattice(X0)
% 172.75/173.02 | ~ class_Lattices_Oupper__semilattice(X4) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1388]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6630,plain,
% 172.75/173.02 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.75/173.02 | ~ class_Lattices_Oupper__semilattice(X1)
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(X2,X3)),hAPP(X2,X4))),hAPP(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X3),X4))))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Omono(X2,X1,X0)) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6629]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1384,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(X1,X3)),hAPP(X1,X4))))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Omono(X1,X2,X0))
% 172.75/173.02 | ~ class_Lattices_Olower__semilattice(X0)
% 172.75/173.02 | ~ class_Lattices_Olower__semilattice(X2) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3373_3) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6621,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(X1,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X2),X3),X4))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(X1,X3)),hAPP(X1,X4))))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Omono(X1,X2,X0))
% 172.75/173.02 | ~ class_Lattices_Olower__semilattice(X0)
% 172.75/173.02 | ~ class_Lattices_Olower__semilattice(X2) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1384]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6622,plain,
% 172.75/173.02 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.75/173.02 | ~ class_Lattices_Olower__semilattice(X1)
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X3),X4))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(X2,X3)),hAPP(X2,X4))))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Omono(X2,X1,X0)) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6621]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1364,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(X2,X3)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X0,tc_bool)),X5),X2)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5)) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3387_2) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6581,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(X2,X3)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X4,tc_fun(X0,tc_bool)),X5),X2)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X4),X3),X5)) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1364]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6582,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X2,tc_fun(X0,tc_bool)),X3),X4)))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(X4,X5)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X2),X5),X3)) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6581]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1359,plain,
% 172.75/173.02 ( X0 = X1
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X4))
% 172.75/173.02 | c_Product__Type_OSigma(X0,hAPP(c_COMBK(tc_fun(X2,tc_bool),X5),X4),X5,X2) != c_Product__Type_OSigma(X1,hAPP(c_COMBK(tc_fun(X2,tc_bool),X5),X4),X5,X2) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3391_2) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6571,plain,
% 172.75/173.02 ( X0 = X1
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X2),X3),X4))
% 172.75/173.02 | c_Product__Type_OSigma(X0,hAPP(c_COMBK(tc_fun(X2,tc_bool),X5),X4),X5,X2) != c_Product__Type_OSigma(X1,hAPP(c_COMBK(tc_fun(X2,tc_bool),X5),X4),X5,X2) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1359]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6572,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.75/173.02 | c_Product__Type_OSigma(X3,hAPP(c_COMBK(tc_fun(X0,tc_bool),X4),X2),X4,X0) != c_Product__Type_OSigma(X5,hAPP(c_COMBK(tc_fun(X0,tc_bool),X4),X2),X4,X0)
% 172.75/173.02 | X3 = X5 ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6571]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1350,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X4,tc_bool)),X5),X0),X2))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X5)) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3394_2) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6553,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X4,tc_bool)),X5),X0),X2))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X5)) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1350]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6554,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X0,tc_fun(X1,tc_bool)),X2),X3),X4))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X0),X5),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(X3,X5),X4)) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6553]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1345,plain,
% 172.75/173.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X1))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3)) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3400_0) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6543,plain,
% 172.75/173.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X1))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3)) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1345]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6544,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X1))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.75/173.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6543]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1342,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)))
% 172.75/173.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3400_3) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6537,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)))
% 172.75/173.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1342]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6538,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X1))
% 172.75/173.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6537]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1341,plain,
% 172.75/173.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X3)) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3401_0) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6535,plain,
% 172.75/173.02 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X3)) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1341]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6536,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X3))
% 172.75/173.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6535]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1338,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 172.75/173.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3401_3) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6529,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)))
% 172.75/173.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1338]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6530,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X3))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2))
% 172.75/173.02 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6529]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1325,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X0,tc_bool)),X3),X4)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X2),X5),X3))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(X4,X5))) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3409_2) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6503,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X0,tc_bool)),X3),X4)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X2),X5),X3))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(X4,X5))) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1325]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6504,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X2,tc_fun(X0,tc_bool)),X3),X4)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(X4,X5)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X2),X5),X3)) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6503]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1319,plain,
% 172.75/173.02 ( X0 = X1
% 172.75/173.02 | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
% 172.75/173.02 | c_List_Omap(X2,X0,X3,X4) != c_List_Omap(X2,X1,X3,X4) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3411_2) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6491,plain,
% 172.75/173.02 ( X0 = X1
% 172.75/173.02 | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
% 172.75/173.02 | c_List_Omap(X2,X0,X3,X4) != c_List_Omap(X2,X1,X3,X4) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1319]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6492,plain,
% 172.75/173.02 ( ~ c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X2)
% 172.75/173.02 | c_List_Omap(X0,X3,X1,X2) != c_List_Omap(X0,X4,X1,X2)
% 172.75/173.02 | X3 = X4 ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6491]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1289,plain,
% 172.75/173.02 ( ~ hBOOL(c_List_Olistsp(X0,X1,X2))
% 172.75/173.02 | hBOOL(c_List_Olistsp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X0),X1,X2))
% 172.75/173.02 | ~ hBOOL(c_List_Olistsp(X3,X1,X2)) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3427_1) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6431,plain,
% 172.75/173.02 ( ~ hBOOL(c_List_Olistsp(X0,X1,X2))
% 172.75/173.02 | hBOOL(c_List_Olistsp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X0),X1,X2))
% 172.75/173.02 | ~ hBOOL(c_List_Olistsp(X3,X1,X2)) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1289]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6432,plain,
% 172.75/173.02 ( hBOOL(c_List_Olistsp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X3,X0))
% 172.75/173.02 | ~ hBOOL(c_List_Olistsp(X2,X3,X0))
% 172.75/173.02 | ~ hBOOL(c_List_Olistsp(X1,X3,X0)) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6431]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1283,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X3),X2)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X3)) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3429_1) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6419,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X3),X2)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X3)) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1283]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6420,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X3))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6419]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1276,plain,
% 172.75/173.02 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X3),X2)
% 172.75/173.02 | ~ hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X0,X4,X5,X6))
% 172.75/173.02 | hAPP(X1,hAPP(X4,X2)) != hAPP(X3,hAPP(X4,X2)) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3431_2) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6405,plain,
% 172.75/173.02 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X3),X2)
% 172.75/173.02 | ~ hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X0,X4,X5,X6))
% 172.75/173.02 | hAPP(X1,hAPP(X4,X2)) != hAPP(X3,hAPP(X4,X2)) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1276]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6406,plain,
% 172.75/173.02 ( ~ hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X0,X1,X2,X3))
% 172.75/173.02 | hAPP(hAPP(X0,X4),X5) = hAPP(hAPP(X0,X6),X5)
% 172.75/173.02 | hAPP(X4,hAPP(X1,X5)) != hAPP(X6,hAPP(X1,X5)) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6405]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1267,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.02 | ~ c_Orderings_Olinorder(X0,X3,X4)
% 172.75/173.02 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X3,X4,X5),X6))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X5),hAPP(X6,X1)),hAPP(X6,X2)))
% 172.75/173.02 | ~ class_Orderings_Oorder(X5) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3434_4) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6387,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.02 | ~ c_Orderings_Olinorder(X0,X3,X4)
% 172.75/173.02 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X3,X4,X5),X6))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X5),hAPP(X6,X1)),hAPP(X6,X2)))
% 172.75/173.02 | ~ class_Orderings_Oorder(X5) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1267]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6388,plain,
% 172.75/173.02 ( ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | hBOOL(hAPP(hAPP(X4,X2),X3))
% 172.75/173.02 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X5,X6,X0),X1))
% 172.75/173.02 | ~ c_Orderings_Olinorder(X4,X5,X6) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6387]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1262,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.02 | ~ c_Orderings_Olinorder(X3,X0,X4)
% 172.75/173.02 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X0,X4,X5),X6))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X5),hAPP(X6,X1)),hAPP(X6,X2)))
% 172.75/173.02 | ~ class_Orderings_Oorder(X5) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3435_4) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6377,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.02 | ~ c_Orderings_Olinorder(X3,X0,X4)
% 172.75/173.02 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X0,X4,X5),X6))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X5),hAPP(X6,X1)),hAPP(X6,X2)))
% 172.75/173.02 | ~ class_Orderings_Oorder(X5) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1262]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6378,plain,
% 172.75/173.02 ( ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | hBOOL(hAPP(hAPP(X4,X2),X3))
% 172.75/173.02 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X4,X5,X0),X1))
% 172.75/173.02 | ~ c_Orderings_Olinorder(X6,X4,X5) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6377]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1241,plain,
% 172.75/173.02 ( hAPP(hAPP(X0,X1),X2) = X2
% 172.75/173.02 | ~ hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X0,X3,X4,X5))
% 172.75/173.02 | hAPP(X1,hAPP(X3,X2)) != hAPP(X3,X2) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3446_2) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6335,plain,
% 172.75/173.02 ( hAPP(hAPP(X0,X1),X2) = X2
% 172.75/173.02 | ~ hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X0,X3,X4,X5))
% 172.75/173.02 | hAPP(X1,hAPP(X3,X2)) != hAPP(X3,X2) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1241]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6336,plain,
% 172.75/173.02 ( ~ hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X0,X1,X2,X3))
% 172.75/173.02 | hAPP(hAPP(X0,X4),X5) = X5
% 172.75/173.02 | hAPP(X4,hAPP(X1,X5)) != hAPP(X1,X5) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6335]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1236,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ c_Orderings_Olinorder(X4,X5,X6)
% 172.75/173.02 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X5,X6,X0),X1))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(X4,X2),X3))
% 172.75/173.02 | ~ class_Orderings_Oorder(X0) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3449_4) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6325,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ c_Orderings_Olinorder(X4,X5,X6)
% 172.75/173.02 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X5,X6,X0),X1))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(X4,X2),X3))
% 172.75/173.02 | ~ class_Orderings_Oorder(X0) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1236]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6326,plain,
% 172.75/173.02 ( ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(X4,X2),X3))
% 172.75/173.02 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X5,X6,X0),X1))
% 172.75/173.02 | ~ c_Orderings_Olinorder(X4,X5,X6) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6325]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1231,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ c_Orderings_Olinorder(X4,X5,X6)
% 172.75/173.02 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X5,X6,X0),X1))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(X5,X2),X3))
% 172.75/173.02 | ~ class_Orderings_Oorder(X0) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3450_4) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6315,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ c_Orderings_Olinorder(X4,X5,X6)
% 172.75/173.02 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X5,X6,X0),X1))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(X5,X2),X3))
% 172.75/173.02 | ~ class_Orderings_Oorder(X0) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1231]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6316,plain,
% 172.75/173.02 ( ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(X4,X2),X3))
% 172.75/173.02 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X4,X5,X0),X1))
% 172.75/173.02 | ~ c_Orderings_Olinorder(X6,X4,X5) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6315]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1226,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ c_Orderings_Oorder(X4,X5,X6)
% 172.75/173.02 | ~ hBOOL(hAPP(c_Orderings_Oorder_Omono(X4,X6,X0),X1))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(X4,X2),X3))
% 172.75/173.02 | ~ class_Orderings_Oorder(X0) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3451_4) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6305,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ c_Orderings_Oorder(X4,X5,X6)
% 172.75/173.02 | ~ hBOOL(hAPP(c_Orderings_Oorder_Omono(X4,X6,X0),X1))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(X4,X2),X3))
% 172.75/173.02 | ~ class_Orderings_Oorder(X0) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1226]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6306,plain,
% 172.75/173.02 ( ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(X4,X2),X3))
% 172.75/173.02 | ~ hBOOL(hAPP(c_Orderings_Oorder_Omono(X4,X5,X0),X1))
% 172.75/173.02 | ~ c_Orderings_Oorder(X4,X6,X5) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6305]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1221,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ c_Orderings_Oorder(X4,X5,X6)
% 172.75/173.02 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X5,X6,X0),X1))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(X5,X2),X3))
% 172.75/173.02 | ~ class_Orderings_Oorder(X0) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3452_4) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6295,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ c_Orderings_Oorder(X4,X5,X6)
% 172.75/173.02 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X5,X6,X0),X1))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(X5,X2),X3))
% 172.75/173.02 | ~ class_Orderings_Oorder(X0) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1221]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6296,plain,
% 172.75/173.02 ( ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(X4,X2),X3))
% 172.75/173.02 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X4,X5,X0),X1))
% 172.75/173.02 | ~ c_Orderings_Oorder(X6,X4,X5) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6295]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1211,plain,
% 172.75/173.02 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X3),X1)),X2))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X2)) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3455_1) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6275,plain,
% 172.75/173.02 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X3),X1)),X2))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X2)) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1211]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6276,plain,
% 172.75/173.02 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),X3))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X3))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3)) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6275]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1161,plain,
% 172.75/173.02 ( hAPP(X0,X1) != hAPP(X0,X2)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
% 172.75/173.02 | X1 = X2
% 172.75/173.02 | ~ c_Fun_Oinj__on(X0,X4,X3,X5)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3474_2) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6175,plain,
% 172.75/173.02 ( hAPP(X0,X1) != hAPP(X0,X2)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
% 172.75/173.02 | X1 = X2
% 172.75/173.02 | ~ c_Fun_Oinj__on(X0,X4,X3,X5)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4)) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1161]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6176,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X0),X3),X2))
% 172.75/173.02 | ~ c_Fun_Oinj__on(X4,X2,X0,X5)
% 172.75/173.02 | hAPP(X4,X3) != hAPP(X4,X1)
% 172.75/173.02 | X3 = X1 ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6175]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1159,plain,
% 172.75/173.02 ( X0 = X1
% 172.75/173.02 | ~ c_Fun_Oinj__on(X2,X3,X4,X5)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X4),X0),X3))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X4),X1),X3))
% 172.75/173.02 | hAPP(X2,X0) != hAPP(X2,X1) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3474_4) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6171,plain,
% 172.75/173.02 ( X0 = X1
% 172.75/173.02 | ~ c_Fun_Oinj__on(X2,X3,X4,X5)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X4),X0),X3))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X4),X1),X3))
% 172.75/173.02 | hAPP(X2,X0) != hAPP(X2,X1) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1159]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6172,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_in(X0),X3),X2))
% 172.75/173.02 | ~ c_Fun_Oinj__on(X4,X2,X0,X5)
% 172.75/173.02 | hAPP(X4,X1) != hAPP(X4,X3)
% 172.75/173.02 | X1 = X3 ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6171]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1129,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(X0,X1))
% 172.75/173.02 | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X0),X1))
% 172.75/173.02 | ~ hBOOL(hAPP(X3,X1)) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3490_1) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6111,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(X0,X1))
% 172.75/173.02 | hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X0),X1))
% 172.75/173.02 | ~ hBOOL(hAPP(X3,X1)) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1129]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6112,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X3))
% 172.75/173.02 | ~ hBOOL(hAPP(X2,X3))
% 172.75/173.02 | ~ hBOOL(hAPP(X1,X3)) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6111]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1114,plain,
% 172.75/173.02 ( ~ hBOOL(c_List_Olistsp(X0,X1,X2))
% 172.75/173.02 | hBOOL(c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2))
% 172.75/173.02 | ~ hBOOL(c_List_Olistsp(X0,X3,X2)) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3496_1) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6081,plain,
% 172.75/173.02 ( ~ hBOOL(c_List_Olistsp(X0,X1,X2))
% 172.75/173.02 | hBOOL(c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2))
% 172.75/173.02 | ~ hBOOL(c_List_Olistsp(X0,X3,X2)) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1114]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6082,plain,
% 172.75/173.02 ( hBOOL(c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3))
% 172.75/173.02 | ~ hBOOL(c_List_Olistsp(X0,X2,X3))
% 172.75/173.02 | ~ hBOOL(c_List_Olistsp(X0,X1,X3)) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6081]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1109,plain,
% 172.75/173.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),X1)) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3498_0) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6071,plain,
% 172.75/173.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),X1)) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1109]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6072,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),X1))
% 172.75/173.02 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6071]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1103,plain,
% 172.75/173.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),X1)) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3500_0) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6059,plain,
% 172.75/173.02 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),X1)) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1103]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6060,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),X1))
% 172.75/173.02 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6059]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1091,plain,
% 172.75/173.02 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X3),X2)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3)) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3503_1) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6035,plain,
% 172.75/173.02 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X3),X2)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3)) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1091]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6036,plain,
% 172.75/173.02 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2)) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6035]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1082,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)))
% 172.75/173.02 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3507_2) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6017,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)))
% 172.75/173.02 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1082]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6018,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.75/173.02 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6017]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1079,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)))
% 172.75/173.02 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3508_2) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6011,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)))
% 172.75/173.02 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1079]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_6012,plain,
% 172.75/173.02 ( ~ hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)))
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
% 172.75/173.02 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_6011]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1067,plain,
% 172.75/173.02 ( ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(X2,X3)),hAPP(X2,X4)))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Omono(X2,X0,X1))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X4))
% 172.75/173.02 | ~ class_Orderings_Oorder(X1) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3513_3) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_5987,plain,
% 172.75/173.02 ( ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(X2,X3)),hAPP(X2,X4)))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Omono(X2,X0,X1))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X4))
% 172.75/173.02 | ~ class_Orderings_Oorder(X1) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1067]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_5988,plain,
% 172.75/173.02 ( ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | ~ class_Orderings_Oorder(X1)
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(X2,X3)),hAPP(X2,X4)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X4))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Omono(X2,X0,X1)) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_5987]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1066,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Omono(X1,X4,X0))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X4),X2),X3))
% 172.75/173.02 | ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | ~ class_Orderings_Oorder(X4) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3513_4) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_5985,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Omono(X1,X4,X0))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X4),X2),X3))
% 172.75/173.02 | ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | ~ class_Orderings_Oorder(X4) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1066]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_5986,plain,
% 172.75/173.02 ( ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | ~ class_Orderings_Oorder(X1)
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(X2,X3)),hAPP(X2,X4)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X1),X3),X4))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Omono(X2,X1,X0)) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_5985]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1062,plain,
% 172.75/173.02 ( ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(X2,X3)),hAPP(X2,X4)))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X2,X0,X1))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X4))
% 172.75/173.02 | ~ class_Orderings_Oorder(X1) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3514_3) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_5977,plain,
% 172.75/173.02 ( ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(X2,X3)),hAPP(X2,X4)))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X2,X0,X1))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X4))
% 172.75/173.02 | ~ class_Orderings_Oorder(X1) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1062]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_5978,plain,
% 172.75/173.02 ( ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | ~ class_Orderings_Oorder(X1)
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(X2,X3)),hAPP(X2,X4)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X4))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X2,X0,X1)) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_5977]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1061,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X1,X4,X0))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X4),X2),X3))
% 172.75/173.02 | ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | ~ class_Orderings_Oorder(X4) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3514_4) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_5975,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X1,X4,X0))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X4),X2),X3))
% 172.75/173.02 | ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | ~ class_Orderings_Oorder(X4) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1061]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_5976,plain,
% 172.75/173.02 ( ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | ~ class_Orderings_Oorder(X1)
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(X2,X3)),hAPP(X2,X4)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),X3),X4))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X2,X1,X0)) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_5975]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1056,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X1,X4,X0))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X4),X2),X3))
% 172.75/173.02 | ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | ~ class_Orderings_Olinorder(X4) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3515_4) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_5965,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X1,X4,X0))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X4),X2),X3))
% 172.75/173.02 | ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | ~ class_Orderings_Olinorder(X4) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1056]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_5966,plain,
% 172.75/173.02 ( ~ class_Orderings_Olinorder(X0)
% 172.75/173.02 | ~ class_Orderings_Oorder(X1)
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(X2,X3)),hAPP(X2,X4)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X4))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X2,X0,X1)) ),
% 172.75/173.02 inference(rewriting,[status(thm)],[c_5965]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_1051,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X1,X4,X0))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X4),X2),X3))
% 172.75/173.02 | ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | ~ class_Orderings_Olinorder(X4) ),
% 172.75/173.02 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3516_4) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_5955,plain,
% 172.75/173.02 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(X1,X2)),hAPP(X1,X3)))
% 172.75/173.02 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X1,X4,X0))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X4),X2),X3))
% 172.75/173.02 | ~ class_Orderings_Oorder(X0)
% 172.75/173.02 | ~ class_Orderings_Olinorder(X4) ),
% 172.75/173.02 inference(copy,[status(esa)],[c_1051]) ).
% 172.75/173.02
% 172.75/173.02 cnf(c_5956,plain,
% 172.75/173.02 ( ~ class_Orderings_Olinorder(X0)
% 172.75/173.02 | ~ class_Orderings_Oorder(X1)
% 172.75/173.02 | hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(X2,X3)),hAPP(X2,X4)))
% 172.75/173.02 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X4))
% 172.75/173.03 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X2,X0,X1)) ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5955]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_1048,plain,
% 172.75/173.03 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X0,tc_fun(X1,tc_bool)),X2),X3),X1)
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_in(X0),X4),X2))
% 172.75/173.03 | ~ c_Finite__Set_Ofinite(hAPP(X3,X4),X1) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3517_2) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5949,plain,
% 172.75/173.03 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X0,tc_fun(X1,tc_bool)),X2),X3),X1)
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_in(X0),X4),X2))
% 172.75/173.03 | ~ c_Finite__Set_Ofinite(hAPP(X3,X4),X1) ),
% 172.75/173.03 inference(copy,[status(esa)],[c_1048]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5950,plain,
% 172.75/173.03 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.75/173.03 | c_Finite__Set_Ofinite(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X0,tc_fun(X3,tc_bool)),X2),X4),X3)
% 172.75/173.03 | ~ c_Finite__Set_Ofinite(hAPP(X4,X1),X3) ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5949]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_1043,plain,
% 172.75/173.03 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X3),X4),X1))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X3),X4),X2)) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3520_0) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5939,plain,
% 172.75/173.03 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X3),X4),X1))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X3),X4),X2)) ),
% 172.75/173.03 inference(copy,[status(esa)],[c_1043]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5940,plain,
% 172.75/173.03 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(X0,X3),X4)) ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5939]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_1038,plain,
% 172.75/173.03 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3521_2) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5929,plain,
% 172.75/173.03 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(X0,X2),X4))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 172.75/173.03 inference(copy,[status(esa)],[c_1038]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5930,plain,
% 172.75/173.03 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(X0,X2),X4)) ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5929]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_1035,plain,
% 172.75/173.03 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_in(X0),X3),X1))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_in(X0),X3),X2)) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3523_2) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5923,plain,
% 172.75/173.03 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_in(X0),X3),X1))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_in(X0),X3),X2)) ),
% 172.75/173.03 inference(copy,[status(esa)],[c_1035]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5924,plain,
% 172.75/173.03 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X3))
% 172.75/173.03 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5923]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_1004,plain,
% 172.75/173.03 ( hAPP(X0,X1) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
% 172.75/173.03 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X2,tc_bool)),X4),X0) != c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3547_2) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5861,plain,
% 172.75/173.03 ( hAPP(X0,X1) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
% 172.75/173.03 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X2,tc_bool)),X4),X0) != c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)) ),
% 172.75/173.03 inference(copy,[status(esa)],[c_1004]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5862,plain,
% 172.75/173.03 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.75/173.03 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X0,tc_fun(X3,tc_bool)),X2),X4) != c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool))
% 172.75/173.03 | hAPP(X4,X1) = c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)) ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5861]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_998,plain,
% 172.75/173.03 ( hAPP(X0,X1) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
% 172.75/173.03 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X2,tc_bool)),X4),X0) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3549_2) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5849,plain,
% 172.75/173.03 ( hAPP(X0,X1) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_in(X3),X1),X4))
% 172.75/173.03 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X2,tc_bool)),X4),X0) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
% 172.75/173.03 inference(copy,[status(esa)],[c_998]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5850,plain,
% 172.75/173.03 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.75/173.03 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X0,tc_fun(X3,tc_bool)),X2),X4) != c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool))
% 172.75/173.03 | hAPP(X4,X1) = c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)) ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5849]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_993,plain,
% 172.75/173.03 ( X0 = X1
% 172.75/173.03 | ~ c_Orderings_Olinorder(X2,X3,X4)
% 172.75/173.03 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X3,X4,X5),X6))
% 172.75/173.03 | hAPP(X6,X0) != hAPP(X6,X1)
% 172.75/173.03 | ~ class_Orderings_Oorder(X5) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3552_4) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5839,plain,
% 172.75/173.03 ( X0 = X1
% 172.75/173.03 | ~ c_Orderings_Olinorder(X2,X3,X4)
% 172.75/173.03 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X3,X4,X5),X6))
% 172.75/173.03 | hAPP(X6,X0) != hAPP(X6,X1)
% 172.75/173.03 | ~ class_Orderings_Oorder(X5) ),
% 172.75/173.03 inference(copy,[status(esa)],[c_993]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5840,plain,
% 172.75/173.03 ( ~ class_Orderings_Oorder(X0)
% 172.75/173.03 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X1,X2,X0),X3))
% 172.75/173.03 | ~ c_Orderings_Olinorder(X4,X1,X2)
% 172.75/173.03 | hAPP(X3,X5) != hAPP(X3,X6)
% 172.75/173.03 | X5 = X6 ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5839]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_976,plain,
% 172.75/173.03 ( X0 = X1
% 172.75/173.03 | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
% 172.75/173.03 | hAPP(X2,X0) != hAPP(X2,X1) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3561_2) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5805,plain,
% 172.75/173.03 ( X0 = X1
% 172.75/173.03 | ~ c_Fun_Oinj__on(X2,c_Orderings_Otop__class_Otop(tc_fun(X3,tc_bool)),X3,X4)
% 172.75/173.03 | hAPP(X2,X0) != hAPP(X2,X1) ),
% 172.75/173.03 inference(copy,[status(esa)],[c_976]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5806,plain,
% 172.75/173.03 ( ~ c_Fun_Oinj__on(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)),X1,X2)
% 172.75/173.03 | hAPP(X0,X3) != hAPP(X0,X4)
% 172.75/173.03 | X3 = X4 ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5805]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_942,plain,
% 172.75/173.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1))) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3579_0) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5737,plain,
% 172.75/173.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1))) ),
% 172.75/173.03 inference(copy,[status(esa)],[c_942]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5738,plain,
% 172.75/173.03 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)))
% 172.75/173.03 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5737]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_936,plain,
% 172.75/173.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_lessequals(X0),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1))) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3581_0) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5725,plain,
% 172.75/173.03 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_lessequals(X0),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1))) ),
% 172.75/173.03 inference(copy,[status(esa)],[c_936]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5726,plain,
% 172.75/173.03 ( ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_lessequals(X0),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)))
% 172.75/173.03 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5725]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_931,plain,
% 172.75/173.03 ( ~ c_Lambda_Obeta(X0,X1)
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),X0),X3))
% 172.75/173.03 | hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),X1),X3)) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3583_0) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5715,plain,
% 172.75/173.03 ( ~ c_Lambda_Obeta(X0,X1)
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),X0),X3))
% 172.75/173.03 | hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X2),X1),X3)) ),
% 172.75/173.03 inference(copy,[status(esa)],[c_931]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5716,plain,
% 172.75/173.03 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X1),X2))
% 172.75/173.03 | hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),X2))
% 172.75/173.03 | ~ c_Lambda_Obeta(X1,X3) ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5715]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_921,plain,
% 172.75/173.03 ( ~ class_Orderings_Opreorder(X0)
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X1)) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3586_1) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5695,plain,
% 172.75/173.03 ( ~ class_Orderings_Opreorder(X0)
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X1)) ),
% 172.75/173.03 inference(copy,[status(esa)],[c_921]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5696,plain,
% 172.75/173.03 ( ~ class_Orderings_Opreorder(X0)
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X3))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3)) ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5695]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_919,plain,
% 172.75/173.03 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2))
% 172.75/173.03 | ~ class_Orderings_Opreorder(X0) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3586_3) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5691,plain,
% 172.75/173.03 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2))
% 172.75/173.03 | ~ class_Orderings_Opreorder(X0) ),
% 172.75/173.03 inference(copy,[status(esa)],[c_919]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5692,plain,
% 172.75/173.03 ( ~ class_Orderings_Opreorder(X0)
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X3)) ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5691]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_913,plain,
% 172.75/173.03 ( ~ class_Orderings_Oorder(X0)
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X3)) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3588_1) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5679,plain,
% 172.75/173.03 ( ~ class_Orderings_Oorder(X0)
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X3)) ),
% 172.75/173.03 inference(copy,[status(esa)],[c_913]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5680,plain,
% 172.75/173.03 ( ~ class_Orderings_Oorder(X0)
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X1))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2)) ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5679]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_911,plain,
% 172.75/173.03 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X2))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.75/173.03 | ~ class_Orderings_Oorder(X0) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3588_3) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5675,plain,
% 172.75/173.03 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X2))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.75/173.03 | ~ class_Orderings_Oorder(X0) ),
% 172.75/173.03 inference(copy,[status(esa)],[c_911]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5676,plain,
% 172.75/173.03 ( ~ class_Orderings_Oorder(X0)
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X1)) ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5675]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_855,plain,
% 172.75/173.03 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
% 172.75/173.03 | ~ class_Orderings_Opreorder(X0) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3613_3) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5563,plain,
% 172.75/173.03 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
% 172.75/173.03 | ~ class_Orderings_Opreorder(X0) ),
% 172.75/173.03 inference(copy,[status(esa)],[c_855]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5564,plain,
% 172.75/173.03 ( ~ class_Orderings_Opreorder(X0)
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1)) ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5563]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_849,plain,
% 172.75/173.03 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),X2) != hAPP(hAPP(c_Set_Oinsert(X0),X1),X3)
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_in(X0),X1),X3))
% 172.75/173.03 | X2 = X3
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3616_1) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5551,plain,
% 172.75/173.03 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),X2) != hAPP(hAPP(c_Set_Oinsert(X0),X1),X3)
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_in(X0),X1),X3))
% 172.75/173.03 | X2 = X3
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
% 172.75/173.03 inference(copy,[status(esa)],[c_849]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5552,plain,
% 172.75/173.03 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_in(X0),X1),X3))
% 172.75/173.03 | hAPP(hAPP(c_Set_Oinsert(X0),X1),X3) != hAPP(hAPP(c_Set_Oinsert(X0),X1),X2)
% 172.75/173.03 | X3 = X2 ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5551]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_847,plain,
% 172.75/173.03 ( X0 = X1
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_in(X2),X3),X0))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
% 172.75/173.03 | hAPP(hAPP(c_Set_Oinsert(X2),X3),X0) != hAPP(hAPP(c_Set_Oinsert(X2),X3),X1) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3616_3) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5547,plain,
% 172.75/173.03 ( X0 = X1
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_in(X2),X3),X0))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_in(X2),X3),X1))
% 172.75/173.03 | hAPP(hAPP(c_Set_Oinsert(X2),X3),X0) != hAPP(hAPP(c_Set_Oinsert(X2),X3),X1) ),
% 172.75/173.03 inference(copy,[status(esa)],[c_847]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5548,plain,
% 172.75/173.03 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.75/173.03 | hBOOL(hAPP(hAPP(c_in(X0),X1),X3))
% 172.75/173.03 | hAPP(hAPP(c_Set_Oinsert(X0),X1),X2) != hAPP(hAPP(c_Set_Oinsert(X0),X1),X3)
% 172.75/173.03 | X2 = X3 ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5547]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_821,plain,
% 172.75/173.03 ( ~ c_Finite__Set_Ofinite(X0,X1)
% 172.75/173.03 | c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X0),X1)
% 172.75/173.03 | ~ c_Finite__Set_Ofinite(X2,X1) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3625_1) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5495,plain,
% 172.75/173.03 ( ~ c_Finite__Set_Ofinite(X0,X1)
% 172.75/173.03 | c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X0),X1)
% 172.75/173.03 | ~ c_Finite__Set_Ofinite(X2,X1) ),
% 172.75/173.03 inference(copy,[status(esa)],[c_821]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_5496,plain,
% 172.75/173.03 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),X2),X0)
% 172.75/173.03 | ~ c_Finite__Set_Ofinite(X2,X0)
% 172.75/173.03 | ~ c_Finite__Set_Ofinite(X1,X0) ),
% 172.75/173.03 inference(rewriting,[status(thm)],[c_5495]) ).
% 172.75/173.03
% 172.75/173.03 cnf(c_817,plain,
% 172.75/173.03 ( ~ hBOOL(hAPP(hAPP(X0,X1),X1))
% 172.75/173.03 | ~ c_Orderings_Olinorder(X2,X0,X3)
% 172.75/173.03 | ~ hBOOL(hAPP(hAPP(X2,X1),X1)) ),
% 172.75/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3626_2) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5487,plain,
% 172.85/173.03 ( ~ hBOOL(hAPP(hAPP(X0,X1),X1))
% 172.85/173.03 | ~ c_Orderings_Olinorder(X2,X0,X3)
% 172.85/173.03 | ~ hBOOL(hAPP(hAPP(X2,X1),X1)) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_817]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5488,plain,
% 172.85/173.03 ( ~ hBOOL(hAPP(hAPP(X0,X1),X1))
% 172.85/173.03 | ~ hBOOL(hAPP(hAPP(X2,X1),X1))
% 172.85/173.03 | ~ c_Orderings_Olinorder(X2,X0,X3) ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_5487]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_760,plain,
% 172.85/173.03 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_lessequals(X1),c_Finite__Set_Olattice__class_OInf__fin(X0,X1)),c_Finite__Set_Olattice__class_OSup__fin(X0,X1)))
% 172.85/173.03 | ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.03 | ~ class_Lattices_Olattice(X1) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3653_3) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5373,plain,
% 172.85/173.03 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_lessequals(X1),c_Finite__Set_Olattice__class_OInf__fin(X0,X1)),c_Finite__Set_Olattice__class_OSup__fin(X0,X1)))
% 172.85/173.03 | ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.03 | ~ class_Lattices_Olattice(X1) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_760]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5374,plain,
% 172.85/173.03 ( ~ class_Lattices_Olattice(X0)
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_lessequals(X0),c_Finite__Set_Olattice__class_OInf__fin(X1,X0)),c_Finite__Set_Olattice__class_OSup__fin(X1,X0)))
% 172.85/173.03 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.85/173.03 | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_5373]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_728,plain,
% 172.85/173.03 ( hBOOL(c_Orderings_Oorder__class_Omono(X0,X1,X2))
% 172.85/173.03 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X0,X1,X2))
% 172.85/173.03 | ~ class_Orderings_Oorder(X2)
% 172.85/173.03 | ~ class_Orderings_Oorder(X1) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3672_3) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5309,plain,
% 172.85/173.03 ( hBOOL(c_Orderings_Oorder__class_Omono(X0,X1,X2))
% 172.85/173.03 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X0,X1,X2))
% 172.85/173.03 | ~ class_Orderings_Oorder(X2)
% 172.85/173.03 | ~ class_Orderings_Oorder(X1) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_728]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5310,plain,
% 172.85/173.03 ( ~ class_Orderings_Oorder(X0)
% 172.85/173.03 | ~ class_Orderings_Oorder(X1)
% 172.85/173.03 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X2,X1,X0))
% 172.85/173.03 | hBOOL(c_Orderings_Oorder__class_Omono(X2,X1,X0)) ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_5309]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_721,plain,
% 172.85/173.03 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.03 | hBOOL(hAPP(hAPP(X3,X1),X2))
% 172.85/173.03 | X1 = X2
% 172.85/173.03 | ~ c_Orderings_Olinorder(X0,X3,X4) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3676_2) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5295,plain,
% 172.85/173.03 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.03 | hBOOL(hAPP(hAPP(X3,X1),X2))
% 172.85/173.03 | X1 = X2
% 172.85/173.03 | ~ c_Orderings_Olinorder(X0,X3,X4) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_721]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5296,plain,
% 172.85/173.03 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.03 | hBOOL(hAPP(hAPP(X3,X1),X2))
% 172.85/173.03 | ~ c_Orderings_Olinorder(X0,X3,X4)
% 172.85/173.03 | X1 = X2 ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_5295]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_720,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.03 | X1 = X2
% 172.85/173.03 | ~ c_Orderings_Olinorder(X3,X0,X4)
% 172.85/173.03 | ~ hBOOL(hAPP(hAPP(X3,X1),X2)) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3676_3) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5293,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.03 | X1 = X2
% 172.85/173.03 | ~ c_Orderings_Olinorder(X3,X0,X4)
% 172.85/173.03 | ~ hBOOL(hAPP(hAPP(X3,X1),X2)) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_720]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5294,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.03 | ~ hBOOL(hAPP(hAPP(X3,X1),X2))
% 172.85/173.03 | ~ c_Orderings_Olinorder(X3,X0,X4)
% 172.85/173.03 | X1 = X2 ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_5293]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_705,plain,
% 172.85/173.03 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.03 | X1 = X2
% 172.85/173.03 | hBOOL(hAPP(hAPP(X3,X1),X2))
% 172.85/173.03 | ~ c_Orderings_Oorder(X0,X3,X4) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3680_2) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5263,plain,
% 172.85/173.03 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.03 | X1 = X2
% 172.85/173.03 | hBOOL(hAPP(hAPP(X3,X1),X2))
% 172.85/173.03 | ~ c_Orderings_Oorder(X0,X3,X4) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_705]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5264,plain,
% 172.85/173.03 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.03 | hBOOL(hAPP(hAPP(X3,X1),X2))
% 172.85/173.03 | ~ c_Orderings_Oorder(X0,X3,X4)
% 172.85/173.03 | X1 = X2 ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_5263]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_704,plain,
% 172.85/173.03 ( X0 = X1
% 172.85/173.03 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 172.85/173.03 | ~ c_Orderings_Oorder(X3,X2,X4)
% 172.85/173.03 | ~ hBOOL(hAPP(hAPP(X3,X0),X1)) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3680_3) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5261,plain,
% 172.85/173.03 ( X0 = X1
% 172.85/173.03 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 172.85/173.03 | ~ c_Orderings_Oorder(X3,X2,X4)
% 172.85/173.03 | ~ hBOOL(hAPP(hAPP(X3,X0),X1)) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_704]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5262,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.03 | ~ hBOOL(hAPP(hAPP(X3,X1),X2))
% 172.85/173.03 | ~ c_Orderings_Oorder(X3,X0,X4)
% 172.85/173.03 | X1 = X2 ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_5261]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_701,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.03 | ~ c_Orderings_Oorder(X0,X3,X4)
% 172.85/173.03 | ~ hBOOL(hAPP(hAPP(X3,X1),X2)) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3682_2) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5255,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.03 | ~ c_Orderings_Oorder(X0,X3,X4)
% 172.85/173.03 | ~ hBOOL(hAPP(hAPP(X3,X1),X2)) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_701]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5256,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.03 | ~ hBOOL(hAPP(hAPP(X3,X1),X2))
% 172.85/173.03 | ~ c_Orderings_Oorder(X0,X3,X4) ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_5255]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_635,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X1))
% 172.85/173.03 | X2 = X1 ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3708_1) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5123,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X2))
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X2),X1))
% 172.85/173.03 | X2 = X1 ),
% 172.85/173.03 inference(copy,[status(esa)],[c_635]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5124,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X1))
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X0))
% 172.85/173.03 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 172.85/173.03 | X1 = X0 ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_5123]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_633,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X1))
% 172.85/173.03 | X0 = X1
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X0))
% 172.85/173.03 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3708_3) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5119,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X1))
% 172.85/173.03 | X0 = X1
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X0))
% 172.85/173.03 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_633]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5120,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X1))
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X0))
% 172.85/173.03 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 172.85/173.03 | X0 = X1 ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_5119]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_630,plain,
% 172.85/173.03 ( c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1),X0)
% 172.85/173.03 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.85/173.03 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3709_2) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5113,plain,
% 172.85/173.03 ( c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1),X0)
% 172.85/173.03 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.85/173.03 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_630]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5114,plain,
% 172.85/173.03 ( c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1),X0)
% 172.85/173.03 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0)
% 172.85/173.03 | ~ c_Finite__Set_Ofinite(X1,X0) ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_5113]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_610,plain,
% 172.85/173.03 ( ~ c_Orderings_Olinorder(X0,X1,X2)
% 172.85/173.03 | X3 = X4
% 172.85/173.03 | hBOOL(hAPP(hAPP(X1,X4),X3))
% 172.85/173.03 | hBOOL(hAPP(hAPP(X1,X3),X4)) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3722_0) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5073,plain,
% 172.85/173.03 ( ~ c_Orderings_Olinorder(X0,X1,X2)
% 172.85/173.03 | X3 = X4
% 172.85/173.03 | hBOOL(hAPP(hAPP(X1,X4),X3))
% 172.85/173.03 | hBOOL(hAPP(hAPP(X1,X3),X4)) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_610]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5074,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.03 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 172.85/173.03 | ~ c_Orderings_Olinorder(X3,X0,X4)
% 172.85/173.03 | X2 = X1 ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_5073]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_607,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.03 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 172.85/173.03 | X1 = X2
% 172.85/173.03 | ~ c_Orderings_Olinorder(X3,X0,X4) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3722_3) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5067,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.03 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 172.85/173.03 | X1 = X2
% 172.85/173.03 | ~ c_Orderings_Olinorder(X3,X0,X4) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_607]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5068,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.03 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 172.85/173.03 | ~ c_Orderings_Olinorder(X3,X0,X4)
% 172.85/173.03 | X1 = X2 ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_5067]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_606,plain,
% 172.85/173.03 ( ~ c_Orderings_Olinorder(X0,X1,X2)
% 172.85/173.03 | hBOOL(hAPP(hAPP(X1,X3),X3))
% 172.85/173.03 | hBOOL(hAPP(hAPP(X0,X3),X3)) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3723_0) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5065,plain,
% 172.85/173.03 ( ~ c_Orderings_Olinorder(X0,X1,X2)
% 172.85/173.03 | hBOOL(hAPP(hAPP(X1,X3),X3))
% 172.85/173.03 | hBOOL(hAPP(hAPP(X0,X3),X3)) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_606]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5066,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(X0,X1),X1))
% 172.85/173.03 | hBOOL(hAPP(hAPP(X2,X1),X1))
% 172.85/173.03 | ~ c_Orderings_Olinorder(X2,X0,X3) ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_5065]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_585,plain,
% 172.85/173.03 ( X0 = X1
% 172.85/173.03 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X2,X3,X4))
% 172.85/173.03 | hAPP(X2,X0) != hAPP(X2,X1)
% 172.85/173.03 | ~ class_Orderings_Oorder(X4)
% 172.85/173.03 | ~ class_Orderings_Olinorder(X3) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3734_4) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5023,plain,
% 172.85/173.03 ( X0 = X1
% 172.85/173.03 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X2,X3,X4))
% 172.85/173.03 | hAPP(X2,X0) != hAPP(X2,X1)
% 172.85/173.03 | ~ class_Orderings_Oorder(X4)
% 172.85/173.03 | ~ class_Orderings_Olinorder(X3) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_585]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_5024,plain,
% 172.85/173.03 ( ~ class_Orderings_Olinorder(X0)
% 172.85/173.03 | ~ class_Orderings_Oorder(X1)
% 172.85/173.03 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X2,X0,X1))
% 172.85/173.03 | hAPP(X2,X3) != hAPP(X2,X4)
% 172.85/173.03 | X3 = X4 ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_5023]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_541,plain,
% 172.85/173.03 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.03 | X2 = X1
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1)) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3751_1) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_4935,plain,
% 172.85/173.03 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.03 | X2 = X1
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1)) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_541]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_4936,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.85/173.03 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 172.85/173.03 | X2 = X1 ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_4935]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_539,plain,
% 172.85/173.03 ( X0 = X1
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),X0),X1))
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),X1),X0))
% 172.85/173.03 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3751_3) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_4931,plain,
% 172.85/173.03 ( X0 = X1
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),X0),X1))
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),X1),X0))
% 172.85/173.03 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_539]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_4932,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.85/173.03 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 172.85/173.03 | X1 = X2 ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_4931]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_497,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X1))
% 172.85/173.03 | X1 = X0
% 172.85/173.03 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3772_2) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_4847,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X1))
% 172.85/173.03 | X1 = X0
% 172.85/173.03 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_497]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_4848,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X1))
% 172.85/173.03 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X1)),X2),X0) = c_Lambda_OdB_OVar(X1)
% 172.85/173.03 | X1 = X0 ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_4847]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_461,plain,
% 172.85/173.03 ( X0 = X1
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X1))
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X0)) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3792_2) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_4775,plain,
% 172.85/173.03 ( X0 = X1
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X1))
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X0)) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_461]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_4776,plain,
% 172.85/173.03 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X1))
% 172.85/173.03 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X0))
% 172.85/173.03 | X0 = X1 ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_4775]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_280,plain,
% 172.85/173.03 ( ~ class_Finite__Set_Ofinite_Ofinite(X0)
% 172.85/173.03 | class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X0))
% 172.85/173.03 | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3914_1) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_4413,plain,
% 172.85/173.03 ( ~ class_Finite__Set_Ofinite_Ofinite(X0)
% 172.85/173.03 | class_Finite__Set_Ofinite_Ofinite(tc_fun(X1,X0))
% 172.85/173.03 | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_280]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_4414,plain,
% 172.85/173.03 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X0,X1))
% 172.85/173.03 | ~ class_Finite__Set_Ofinite_Ofinite(X1)
% 172.85/173.03 | ~ class_Finite__Set_Ofinite_Ofinite(X0) ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_4413]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_277,plain,
% 172.85/173.03 ( ~ class_Finite__Set_Ofinite_Ofinite(X0)
% 172.85/173.03 | class_Finite__Set_Ofinite_Ofinite(tc_prod(X1,X0))
% 172.85/173.03 | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3915_1) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_4407,plain,
% 172.85/173.03 ( ~ class_Finite__Set_Ofinite_Ofinite(X0)
% 172.85/173.03 | class_Finite__Set_Ofinite_Ofinite(tc_prod(X1,X0))
% 172.85/173.03 | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
% 172.85/173.03 inference(copy,[status(esa)],[c_277]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_4408,plain,
% 172.85/173.03 ( class_Finite__Set_Ofinite_Ofinite(tc_prod(X0,X1))
% 172.85/173.03 | ~ class_Finite__Set_Ofinite_Ofinite(X1)
% 172.85/173.03 | ~ class_Finite__Set_Ofinite_Ofinite(X0) ),
% 172.85/173.03 inference(rewriting,[status(thm)],[c_4407]) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_1729,negated_conjecture,
% 172.85/173.03 ( ~ hBOOL(c_List_Olistsp(hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst)))))))),v_as____,tc_Lambda_OdB)) ),
% 172.85/173.03 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_4) ).
% 172.85/173.03
% 172.85/173.03 cnf(c_2278,negated_conjecture,
% 172.85/173.03 ( ~ hBOOL(c_List_Olistsp(hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst)))))))),v_as____,tc_Lambda_OdB)) ),
% 172.85/173.04 inference(copy,[status(esa)],[c_1729]) ).
% 172.85/173.04
% 172.85/173.04 cnf(c_2282,negated_conjecture,
% 172.85/173.04 ( ~ hBOOL(c_List_Olistsp(hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst)))))))),v_as____,tc_Lambda_OdB)) ),
% 172.85/173.04 inference(copy,[status(esa)],[c_2278]) ).
% 172.85/173.04
% 172.85/173.04 cnf(c_2283,negated_conjecture,
% 172.85/173.04 ( ~ hBOOL(c_List_Olistsp(hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst)))))))),v_as____,tc_Lambda_OdB)) ),
% 172.85/173.04 inference(copy,[status(esa)],[c_2282]) ).
% 172.85/173.04
% 172.85/173.04 cnf(c_2284,negated_conjecture,
% 172.85/173.04 ( ~ hBOOL(c_List_Olistsp(hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst)))))))),v_as____,tc_Lambda_OdB)) ),
% 172.85/173.04 inference(copy,[status(esa)],[c_2283]) ).
% 172.85/173.04
% 172.85/173.04 cnf(c_7311,negated_conjecture,
% 172.85/173.04 ( ~ hBOOL(c_List_Olistsp(hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst)))))))),v_as____,tc_Lambda_OdB)) ),
% 172.85/173.04 inference(copy,[status(esa)],[c_2284]) ).
% 172.85/173.04
% 172.85/173.04 cnf(c_1726,plain,
% 172.85/173.04 ( hAPP(hAPP(c_Finite__Set_Osetsum(X0,X0),c_Fun_Oid(X0)),hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X0),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_bool),X0),hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1),c_Ex(X2))),hAPP(hAPP(c_COMBC(X0,tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_fun(X2,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_fun(X2,tc_bool))),X0),c_COMBS(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X2,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_COMBS(X2,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_fun(X2,tc_fun(tc_bool,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and))),hAPP(hAPP(c_COMBC(X0,tc_fun(X1,tc_fun(X2,X0)),tc_fun(X1,tc_fun(X2,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X2,X0),tc_fun(X2,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X2,X0)),tc_fun(X1,tc_fun(X2,tc_bool))),X0),c_COMBB(tc_fun(X2,X0),tc_fun(X2,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X2,X0),tc_fun(X2,tc_bool)),X0),c_COMBB(X0,tc_bool,X2)),c_fequal(X0)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,X0),tc_fun(X2,X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,X0),tc_fun(tc_fun(X2,X0),tc_fun(X2,X0)),X1),c_COMBB(X0,X0,X2)),hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Otimes__class_Otimes(X0)),X3))),X4)))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X2)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X5)))),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X6))))))) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X0),X3),X5)),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X0),X4),X6))
% 172.85/173.04 | ~ c_Fun_Oinj__on(c_split(hAPP(hAPP(c_COMBC(X1,tc_fun(X2,X0),tc_fun(X2,X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,X0),tc_fun(tc_fun(X2,X0),tc_fun(X2,X0)),X1),c_COMBB(X0,X0,X2)),hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Otimes__class_Otimes(X0)),X3))),X4),X1,X2,X0),c_Product__Type_OSigma(X5,hAPP(c_COMBK(tc_fun(X2,tc_bool),X1),X6),X1,X2),tc_prod(X1,X2),X0)
% 172.85/173.04 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 172.85/173.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3184_2) ).
% 172.85/173.04
% 172.85/173.04 cnf(c_7305,plain,
% 172.85/173.04 ( hAPP(hAPP(c_Finite__Set_Osetsum(X0,X0),c_Fun_Oid(X0)),hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X0),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_bool),X0),hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1),c_Ex(X2))),hAPP(hAPP(c_COMBC(X0,tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_fun(X2,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_fun(X2,tc_bool))),X0),c_COMBS(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X2,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_COMBS(X2,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_fun(X2,tc_fun(tc_bool,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and))),hAPP(hAPP(c_COMBC(X0,tc_fun(X1,tc_fun(X2,X0)),tc_fun(X1,tc_fun(X2,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X2,X0),tc_fun(X2,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X2,X0)),tc_fun(X1,tc_fun(X2,tc_bool))),X0),c_COMBB(tc_fun(X2,X0),tc_fun(X2,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X2,X0),tc_fun(X2,tc_bool)),X0),c_COMBB(X0,tc_bool,X2)),c_fequal(X0)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,X0),tc_fun(X2,X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,X0),tc_fun(tc_fun(X2,X0),tc_fun(X2,X0)),X1),c_COMBB(X0,X0,X2)),hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Otimes__class_Otimes(X0)),X3))),X4)))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X2)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X5)))),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X6))))))) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X0),X3),X5)),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X0),X4),X6))
% 172.85/173.04 | ~ c_Fun_Oinj__on(c_split(hAPP(hAPP(c_COMBC(X1,tc_fun(X2,X0),tc_fun(X2,X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,X0),tc_fun(tc_fun(X2,X0),tc_fun(X2,X0)),X1),c_COMBB(X0,X0,X2)),hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Otimes__class_Otimes(X0)),X3))),X4),X1,X2,X0),c_Product__Type_OSigma(X5,hAPP(c_COMBK(tc_fun(X2,tc_bool),X1),X6),X1,X2),tc_prod(X1,X2),X0)
% 172.85/173.04 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 172.85/173.04 inference(copy,[status(esa)],[c_1726]) ).
% 172.85/173.04
% 172.85/173.04 cnf(c_7306,plain,
% 172.85/173.04 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 172.85/173.04 | ~ c_Fun_Oinj__on(c_split(hAPP(hAPP(c_COMBC(X1,tc_fun(X2,X0),tc_fun(X2,X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,X0),tc_fun(tc_fun(X2,X0),tc_fun(X2,X0)),X1),c_COMBB(X0,X0,X2)),hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Otimes__class_Otimes(X0)),X3))),X4),X1,X2,X0),c_Product__Type_OSigma(X5,hAPP(c_COMBK(tc_fun(X2,tc_bool),X1),X6),X1,X2),tc_prod(X1,X2),X0)
% 172.85/173.04 | hAPP(hAPP(c_Finite__Set_Osetsum(X0,X0),c_Fun_Oid(X0)),hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X0),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_bool),X0),hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X1),c_Ex(X2))),hAPP(hAPP(c_COMBC(X0,tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_fun(X2,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_fun(X2,tc_bool))),X0),c_COMBS(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X2,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X2,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_COMBS(X2,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X2,tc_bool)),tc_fun(X1,tc_fun(X2,tc_fun(tc_bool,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and))),hAPP(hAPP(c_COMBC(X0,tc_fun(X1,tc_fun(X2,X0)),tc_fun(X1,tc_fun(X2,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X2,X0),tc_fun(X2,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X2,X0)),tc_fun(X1,tc_fun(X2,tc_bool))),X0),c_COMBB(tc_fun(X2,X0),tc_fun(X2,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X2,X0),tc_fun(X2,tc_bool)),X0),c_COMBB(X0,tc_bool,X2)),c_fequal(X0)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,X0),tc_fun(X2,X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,X0),tc_fun(tc_fun(X2,X0),tc_fun(X2,X0)),X1),c_COMBB(X0,X0,X2)),hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Otimes__class_Otimes(X0)),X3))),X4)))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X2)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X5)))),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X6))))))) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X0),X3),X5)),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X0),X4),X6)) ),
% 172.85/173.04 inference(rewriting,[status(thm)],[c_7305]) ).
% 172.85/173.04
% 172.85/173.04 cnf(c_1725,plain,
% 172.85/173.04 ( ~ class_Lattices_Odistrib__lattice(X0)
% 172.85/173.04 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.85/173.04 | ~ c_Finite__Set_Ofinite(X2,X0)
% 172.85/173.04 | c_Finite__Set_Olattice__class_OSup__fin(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),tc_fun(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBS(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBS(X0,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),tc_fun(tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBB(tc_fun(X0,X0),tc_fun(X0,tc_bool),X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),X0),c_COMBB(X0,tc_bool,X0)),c_fequal(X0)))),c_Lattices_Olower__semilattice__class_Oinf(X0)))))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBB(tc_bool,tc_bool,X0)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X2)))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))))),X0) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),c_Finite__Set_Olattice__class_OSup__fin(X2,X0)),c_Finite__Set_Olattice__class_OSup__fin(X1,X0))
% 172.85/173.04 | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.85/173.04 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.85/173.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3186_0) ).
% 172.85/173.04
% 172.85/173.04 cnf(c_7303,plain,
% 172.85/173.04 ( ~ class_Lattices_Odistrib__lattice(X0)
% 172.85/173.04 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.85/173.04 | ~ c_Finite__Set_Ofinite(X2,X0)
% 172.85/173.04 | c_Finite__Set_Olattice__class_OSup__fin(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),tc_fun(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBS(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBS(X0,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),tc_fun(tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBB(tc_fun(X0,X0),tc_fun(X0,tc_bool),X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),X0),c_COMBB(X0,tc_bool,X0)),c_fequal(X0)))),c_Lattices_Olower__semilattice__class_Oinf(X0)))))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBB(tc_bool,tc_bool,X0)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X2)))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))))),X0) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),c_Finite__Set_Olattice__class_OSup__fin(X2,X0)),c_Finite__Set_Olattice__class_OSup__fin(X1,X0))
% 172.85/173.04 | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.85/173.04 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.85/173.04 inference(copy,[status(esa)],[c_1725]) ).
% 172.85/173.04
% 172.85/173.04 cnf(c_1722,plain,
% 172.85/173.04 ( ~ class_Lattices_Odistrib__lattice(X0)
% 172.85/173.04 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.85/173.04 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.85/173.04 | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.85/173.04 | c_Finite__Set_Olattice__class_OSup__fin(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),tc_fun(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBS(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBS(X0,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),tc_fun(tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBB(tc_fun(X0,X0),tc_fun(X0,tc_bool),X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),X0),c_COMBB(X0,tc_bool,X0)),c_fequal(X0)))),c_Lattices_Olower__semilattice__class_Oinf(X0)))))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBB(tc_bool,tc_bool,X0)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X2)))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))))),X0) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),c_Finite__Set_Olattice__class_OSup__fin(X2,X0)),c_Finite__Set_Olattice__class_OSup__fin(X1,X0))
% 172.85/173.04 | ~ c_Finite__Set_Ofinite(X2,X0) ),
% 172.85/173.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3186_3) ).
% 172.85/173.04
% 172.85/173.04 cnf(c_7297,plain,
% 172.85/173.04 ( ~ class_Lattices_Odistrib__lattice(X0)
% 172.85/173.04 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.85/173.04 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.85/173.04 | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.85/173.04 | c_Finite__Set_Olattice__class_OSup__fin(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),tc_fun(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBS(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBS(X0,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),tc_fun(tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBB(tc_fun(X0,X0),tc_fun(X0,tc_bool),X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),X0),c_COMBB(X0,tc_bool,X0)),c_fequal(X0)))),c_Lattices_Olower__semilattice__class_Oinf(X0)))))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBB(tc_bool,tc_bool,X0)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X2)))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))))),X0) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),c_Finite__Set_Olattice__class_OSup__fin(X2,X0)),c_Finite__Set_Olattice__class_OSup__fin(X1,X0))
% 172.85/173.04 | ~ c_Finite__Set_Ofinite(X2,X0) ),
% 172.85/173.04 inference(copy,[status(esa)],[c_1722]) ).
% 172.85/173.04
% 172.85/173.04 cnf(c_7298,plain,
% 172.85/173.04 ( ~ class_Lattices_Odistrib__lattice(X0)
% 172.85/173.04 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.85/173.04 | ~ c_Finite__Set_Ofinite(X2,X0)
% 172.85/173.04 | c_Finite__Set_Olattice__class_OSup__fin(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),tc_fun(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBS(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBS(X0,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),tc_fun(tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBB(tc_fun(X0,X0),tc_fun(X0,tc_bool),X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),X0),c_COMBB(X0,tc_bool,X0)),c_fequal(X0)))),c_Lattices_Olower__semilattice__class_Oinf(X0)))))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBB(tc_bool,tc_bool,X0)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X2)))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))))),X0) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),c_Finite__Set_Olattice__class_OSup__fin(X2,X0)),c_Finite__Set_Olattice__class_OSup__fin(X1,X0))
% 172.85/173.04 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.85/173.04 | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.85/173.04 inference(rewriting,[status(thm)],[c_7297]) ).
% 172.85/173.04
% 172.85/173.04 cnf(c_1719,plain,
% 172.85/173.04 ( ~ class_Lattices_Odistrib__lattice(X0)
% 172.85/173.04 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.85/173.04 | ~ c_Finite__Set_Ofinite(X2,X0)
% 172.85/173.04 | c_Finite__Set_Olattice__class_OInf__fin(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),tc_fun(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBS(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBS(X0,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),tc_fun(tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBB(tc_fun(X0,X0),tc_fun(X0,tc_bool),X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),X0),c_COMBB(X0,tc_bool,X0)),c_fequal(X0)))),c_Lattices_Oupper__semilattice__class_Osup(X0)))))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBB(tc_bool,tc_bool,X0)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X2)))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))))),X0) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),c_Finite__Set_Olattice__class_OInf__fin(X2,X0)),c_Finite__Set_Olattice__class_OInf__fin(X1,X0))
% 172.85/173.04 | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.85/173.04 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.85/173.04 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3187_0) ).
% 172.85/173.04
% 172.85/173.04 cnf(c_7291,plain,
% 172.85/173.04 ( ~ class_Lattices_Odistrib__lattice(X0)
% 172.85/173.04 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.85/173.04 | ~ c_Finite__Set_Ofinite(X2,X0)
% 172.85/173.04 | c_Finite__Set_Olattice__class_OInf__fin(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),tc_fun(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBS(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBS(X0,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),tc_fun(tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBB(tc_fun(X0,X0),tc_fun(X0,tc_bool),X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),X0),c_COMBB(X0,tc_bool,X0)),c_fequal(X0)))),c_Lattices_Oupper__semilattice__class_Osup(X0)))))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBB(tc_bool,tc_bool,X0)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X2)))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))))),X0) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),c_Finite__Set_Olattice__class_OInf__fin(X2,X0)),c_Finite__Set_Olattice__class_OInf__fin(X1,X0))
% 172.85/173.04 | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.85/173.04 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.85/173.04 inference(copy,[status(esa)],[c_1719]) ).
% 172.85/173.04
% 172.85/173.04 cnf(c_1716,plain,
% 172.85/173.04 ( ~ class_Lattices_Odistrib__lattice(X0)
% 172.85/173.04 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.85/173.04 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.85/173.04 | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.85/173.04 | c_Finite__Set_Olattice__class_OInf__fin(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),tc_fun(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBS(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBS(X0,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),tc_fun(tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBB(tc_fun(X0,X0),tc_fun(X0,tc_bool),X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),X0),c_COMBB(X0,tc_bool,X0)),c_fequal(X0)))),c_Lattices_Oupper__semilattice__class_Osup(X0)))))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBB(tc_bool,tc_bool,X0)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X2)))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))))),X0) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),c_Finite__Set_Olattice__class_OInf__fin(X2,X0)),c_Finite__Set_Olattice__class_OInf__fin(X1,X0))
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X2,X0) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3187_3) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7285,plain,
% 172.85/173.05 ( ~ class_Lattices_Odistrib__lattice(X0)
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.85/173.05 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.85/173.05 | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.85/173.05 | c_Finite__Set_Olattice__class_OInf__fin(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),tc_fun(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBS(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBS(X0,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),tc_fun(tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBB(tc_fun(X0,X0),tc_fun(X0,tc_bool),X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),X0),c_COMBB(X0,tc_bool,X0)),c_fequal(X0)))),c_Lattices_Oupper__semilattice__class_Osup(X0)))))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBB(tc_bool,tc_bool,X0)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X2)))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))))),X0) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),c_Finite__Set_Olattice__class_OInf__fin(X2,X0)),c_Finite__Set_Olattice__class_OInf__fin(X1,X0))
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X2,X0) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1716]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7286,plain,
% 172.85/173.05 ( ~ class_Lattices_Odistrib__lattice(X0)
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X2,X0)
% 172.85/173.05 | c_Finite__Set_Olattice__class_OInf__fin(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),tc_fun(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBS(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),tc_fun(X0,tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBS(X0,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_fun(tc_bool,tc_bool))),X0),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),tc_fun(tc_fun(X0,tc_fun(X0,X0)),tc_fun(X0,tc_fun(X0,tc_bool))),X0),c_COMBB(tc_fun(X0,X0),tc_fun(X0,tc_bool),X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),X0),c_COMBB(X0,tc_bool,X0)),c_fequal(X0)))),c_Lattices_Oupper__semilattice__class_Osup(X0)))))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBB(tc_bool,tc_bool,X0)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X2)))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))))),X0) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),c_Finite__Set_Olattice__class_OInf__fin(X2,X0)),c_Finite__Set_Olattice__class_OInf__fin(X1,X0))
% 172.85/173.05 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.85/173.05 | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7285]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1713,plain,
% 172.85/173.05 ( ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X2,X1)
% 172.85/173.05 | ~ c_Lattices_Odistrib__lattice(X3,X4,X5,X6,X1)
% 172.85/173.05 | hAPP(hAPP(X6,c_Finite__Set_Olattice_OInf__fin(X5,X2,X1)),c_Finite__Set_Olattice_OInf__fin(X5,X0,X1)) = c_Finite__Set_Olattice_OInf__fin(X5,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),X6))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))))),X1)
% 172.85/173.05 | X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3188_0) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7279,plain,
% 172.85/173.05 ( ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X2,X1)
% 172.85/173.05 | ~ c_Lattices_Odistrib__lattice(X3,X4,X5,X6,X1)
% 172.85/173.05 | hAPP(hAPP(X6,c_Finite__Set_Olattice_OInf__fin(X5,X2,X1)),c_Finite__Set_Olattice_OInf__fin(X5,X0,X1)) = c_Finite__Set_Olattice_OInf__fin(X5,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),X6))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))))),X1)
% 172.85/173.05 | X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1713]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1709,plain,
% 172.85/173.05 ( ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.05 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | hAPP(hAPP(X3,c_Finite__Set_Olattice_OInf__fin(X4,X2,X1)),c_Finite__Set_Olattice_OInf__fin(X4,X0,X1)) = c_Finite__Set_Olattice_OInf__fin(X4,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),X3))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))))),X1)
% 172.85/173.05 | ~ c_Lattices_Odistrib__lattice(X5,X6,X4,X3,X1)
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X2,X1) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3188_4) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7271,plain,
% 172.85/173.05 ( ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.05 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | hAPP(hAPP(X3,c_Finite__Set_Olattice_OInf__fin(X4,X2,X1)),c_Finite__Set_Olattice_OInf__fin(X4,X0,X1)) = c_Finite__Set_Olattice_OInf__fin(X4,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),X3))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))))),X1)
% 172.85/173.05 | ~ c_Lattices_Odistrib__lattice(X5,X6,X4,X3,X1)
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X2,X1) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1709]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7272,plain,
% 172.85/173.05 ( ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X2,X1)
% 172.85/173.05 | ~ c_Lattices_Odistrib__lattice(X3,X4,X5,X6,X1)
% 172.85/173.05 | hAPP(hAPP(X6,c_Finite__Set_Olattice_OInf__fin(X5,X2,X1)),c_Finite__Set_Olattice_OInf__fin(X5,X0,X1)) = c_Finite__Set_Olattice_OInf__fin(X5,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),X6))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))))),X1)
% 172.85/173.05 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7271]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1707,plain,
% 172.85/173.05 ( ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X2,X1)
% 172.85/173.05 | ~ c_Lattices_Odistrib__lattice(X3,X4,X5,X6,X1)
% 172.85/173.05 | hAPP(hAPP(X5,c_Finite__Set_Olattice_OSup__fin(X6,X2,X1)),c_Finite__Set_Olattice_OSup__fin(X6,X0,X1)) = c_Finite__Set_Olattice_OSup__fin(X6,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),X5))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))))),X1)
% 172.85/173.05 | X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3189_0) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7267,plain,
% 172.85/173.05 ( ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X2,X1)
% 172.85/173.05 | ~ c_Lattices_Odistrib__lattice(X3,X4,X5,X6,X1)
% 172.85/173.05 | hAPP(hAPP(X5,c_Finite__Set_Olattice_OSup__fin(X6,X2,X1)),c_Finite__Set_Olattice_OSup__fin(X6,X0,X1)) = c_Finite__Set_Olattice_OSup__fin(X6,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),X5))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))))),X1)
% 172.85/173.05 | X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1707]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1703,plain,
% 172.85/173.05 ( ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.05 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | hAPP(hAPP(X3,c_Finite__Set_Olattice_OSup__fin(X4,X2,X1)),c_Finite__Set_Olattice_OSup__fin(X4,X0,X1)) = c_Finite__Set_Olattice_OSup__fin(X4,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),X3))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))))),X1)
% 172.85/173.05 | ~ c_Lattices_Odistrib__lattice(X5,X6,X3,X4,X1)
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X2,X1) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3189_4) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7259,plain,
% 172.85/173.05 ( ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.05 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | hAPP(hAPP(X3,c_Finite__Set_Olattice_OSup__fin(X4,X2,X1)),c_Finite__Set_Olattice_OSup__fin(X4,X0,X1)) = c_Finite__Set_Olattice_OSup__fin(X4,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),X3))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))))),X1)
% 172.85/173.05 | ~ c_Lattices_Odistrib__lattice(X5,X6,X3,X4,X1)
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X2,X1) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1703]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7260,plain,
% 172.85/173.05 ( ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X2,X1)
% 172.85/173.05 | ~ c_Lattices_Odistrib__lattice(X3,X4,X5,X6,X1)
% 172.85/173.05 | hAPP(hAPP(X5,c_Finite__Set_Olattice_OSup__fin(X6,X2,X1)),c_Finite__Set_Olattice_OSup__fin(X6,X0,X1)) = c_Finite__Set_Olattice_OSup__fin(X6,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_bool),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),tc_fun(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBS(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),tc_fun(X1,tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,tc_bool)),tc_fun(X1,tc_fun(X1,tc_fun(tc_bool,tc_bool))),X1),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),tc_fun(tc_fun(X1,tc_fun(X1,X1)),tc_fun(X1,tc_fun(X1,tc_bool))),X1),c_COMBB(tc_fun(X1,X1),tc_fun(X1,tc_bool),X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1)))),X5))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBB(tc_bool,tc_bool,X1)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X2)))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))))),X1)
% 172.85/173.05 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7259]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1700,plain,
% 172.85/173.05 ( c_Lattices_Oboolean__algebra(hAPP(hAPP(c_COMBC(X0,tc_fun(X0,X0),tc_fun(X0,X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,X0),tc_fun(tc_fun(X0,X0),tc_fun(X0,X0)),X0),c_COMBB(X0,X0,X0)),X1)),X2),X2,hAPP(c_COMBC(X0,X0,tc_bool),X3),hAPP(c_COMBC(X0,X0,tc_bool),X4),X1,X5,X6,X7,X0)
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X8,X2,X3,X4,X5,X1,X7,X6,X0) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3190_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7253,plain,
% 172.85/173.05 ( c_Lattices_Oboolean__algebra(hAPP(hAPP(c_COMBC(X0,tc_fun(X0,X0),tc_fun(X0,X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,X0),tc_fun(tc_fun(X0,X0),tc_fun(X0,X0)),X0),c_COMBB(X0,X0,X0)),X1)),X2),X2,hAPP(c_COMBC(X0,X0,tc_bool),X3),hAPP(c_COMBC(X0,X0,tc_bool),X4),X1,X5,X6,X7,X0)
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X8,X2,X3,X4,X5,X1,X7,X6,X0) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1700]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1698,plain,
% 172.85/173.05 ( c_Complete__Lattice_Ocomplete__lattice(X0,X1,hAPP(c_COMBC(X2,X2,tc_bool),X3),hAPP(c_COMBC(X2,X2,tc_bool),X4),X5,X6,X7,X8,X2)
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X0,X3,X4,X6,X5,X8,X7,X2) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3191_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7249,plain,
% 172.85/173.05 ( c_Complete__Lattice_Ocomplete__lattice(X0,X1,hAPP(c_COMBC(X2,X2,tc_bool),X3),hAPP(c_COMBC(X2,X2,tc_bool),X4),X5,X6,X7,X8,X2)
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X0,X3,X4,X6,X5,X8,X7,X2) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1698]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1696,plain,
% 172.85/173.05 ( hAPP(X0,X1) = hAPP(X2,hAPP(c_Collect(X3),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_bool,X3),c_All(X3)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X3),hAPP(c_COMBS(X3,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X3),c_implies),hAPP(hAPP(c_COMBC(X3,tc_fun(X3,tc_bool),tc_bool),c_in(X3)),X1)))),hAPP(c_COMBC(X3,X3,tc_bool),X4)))))
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X2,X0,X4,X5,X6,X7,X8,X9,X3) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3192_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7245,plain,
% 172.85/173.05 ( hAPP(X0,X1) = hAPP(X2,hAPP(c_Collect(X3),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_bool,X3),c_All(X3)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X3),hAPP(c_COMBS(X3,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X3),c_implies),hAPP(hAPP(c_COMBC(X3,tc_fun(X3,tc_bool),tc_bool),c_in(X3)),X1)))),hAPP(c_COMBC(X3,X3,tc_bool),X4)))))
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X2,X0,X4,X5,X6,X7,X8,X9,X3) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1696]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7246,plain,
% 172.85/173.05 ( ~ c_Complete__Lattice_Ocomplete__lattice(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(X1,X9) = hAPP(X0,hAPP(c_Collect(X8),hAPP(hAPP(c_COMBB(tc_fun(X8,tc_bool),tc_bool,X8),c_All(X8)),hAPP(hAPP(c_COMBB(tc_fun(X8,tc_bool),tc_fun(X8,tc_bool),X8),hAPP(c_COMBS(X8,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X8),c_implies),hAPP(hAPP(c_COMBC(X8,tc_fun(X8,tc_bool),tc_bool),c_in(X8)),X9)))),hAPP(c_COMBC(X8,X8,tc_bool),X2))))) ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7245]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1694,plain,
% 172.85/173.05 ( hAPP(X0,X1) = hAPP(X2,hAPP(c_Collect(X3),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_bool,X3),c_All(X3)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X3),hAPP(c_COMBS(X3,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X3),c_implies),hAPP(hAPP(c_COMBC(X3,tc_fun(X3,tc_bool),tc_bool),c_in(X3)),X1)))),X4))))
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X0,X2,X4,X5,X6,X7,X8,X9,X3) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3193_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7241,plain,
% 172.85/173.05 ( hAPP(X0,X1) = hAPP(X2,hAPP(c_Collect(X3),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_bool,X3),c_All(X3)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X3),hAPP(c_COMBS(X3,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X3),c_implies),hAPP(hAPP(c_COMBC(X3,tc_fun(X3,tc_bool),tc_bool),c_in(X3)),X1)))),X4))))
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X0,X2,X4,X5,X6,X7,X8,X9,X3) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1694]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7242,plain,
% 172.85/173.05 ( ~ c_Complete__Lattice_Ocomplete__lattice(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(X0,X9) = hAPP(X1,hAPP(c_Collect(X8),hAPP(hAPP(c_COMBB(tc_fun(X8,tc_bool),tc_bool,X8),c_All(X8)),hAPP(hAPP(c_COMBB(tc_fun(X8,tc_bool),tc_fun(X8,tc_bool),X8),hAPP(c_COMBS(X8,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X8),c_implies),hAPP(hAPP(c_COMBC(X8,tc_fun(X8,tc_bool),tc_bool),c_in(X8)),X9)))),X2)))) ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7241]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1692,plain,
% 172.85/173.05 ( hAPP(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))) = hAPP(hAPP(X4,X2),X3)
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X0,X5,X6,X7,X4,X8,X9,X10,X1) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3194_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7237,plain,
% 172.85/173.05 ( hAPP(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))) = hAPP(hAPP(X4,X2),X3)
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X0,X5,X6,X7,X4,X8,X9,X10,X1) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1692]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7238,plain,
% 172.85/173.05 ( ~ c_Complete__Lattice_Ocomplete__lattice(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(X0,hAPP(hAPP(c_Set_Oinsert(X8),X9),hAPP(hAPP(c_Set_Oinsert(X8),X10),c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool))))) = hAPP(hAPP(X4,X9),X10) ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7237]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1690,plain,
% 172.85/173.05 ( hAPP(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))) = hAPP(hAPP(X4,X2),X3)
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X5,X0,X6,X7,X8,X4,X9,X10,X1) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3195_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7233,plain,
% 172.85/173.05 ( hAPP(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),hAPP(hAPP(c_Set_Oinsert(X1),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))))) = hAPP(hAPP(X4,X2),X3)
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X5,X0,X6,X7,X8,X4,X9,X10,X1) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1690]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7234,plain,
% 172.85/173.05 ( ~ c_Complete__Lattice_Ocomplete__lattice(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X8),X9),hAPP(hAPP(c_Set_Oinsert(X8),X10),c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool))))) = hAPP(hAPP(X5,X9),X10) ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7233]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1687,plain,
% 172.85/173.05 ( hBOOL(hAPP(hAPP(X0,hAPP(X1,X2)),X3))
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X0,X5,X6,X7,X8,X9,X10)
% 172.85/173.05 | ~ hBOOL(hAPP(hAPP(c_in(X10),X3),X2)) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3196_2) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7227,plain,
% 172.85/173.05 ( hBOOL(hAPP(hAPP(X0,hAPP(X1,X2)),X3))
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X1,X4,X0,X5,X6,X7,X8,X9,X10)
% 172.85/173.05 | ~ hBOOL(hAPP(hAPP(c_in(X10),X3),X2)) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1687]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7228,plain,
% 172.85/173.05 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.05 | hBOOL(hAPP(hAPP(X3,hAPP(X4,X2)),X1))
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X4,X5,X3,X6,X7,X8,X9,X10,X0) ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7227]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1684,plain,
% 172.85/173.05 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(X2,X3)))
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X4,X2,X0,X5,X6,X7,X8,X9,X10)
% 172.85/173.05 | ~ hBOOL(hAPP(hAPP(c_in(X10),X1),X3)) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3197_2) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7221,plain,
% 172.85/173.05 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(X2,X3)))
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X4,X2,X0,X5,X6,X7,X8,X9,X10)
% 172.85/173.05 | ~ hBOOL(hAPP(hAPP(c_in(X10),X1),X3)) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1684]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7222,plain,
% 172.85/173.05 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.05 | hBOOL(hAPP(hAPP(X3,X1),hAPP(X4,X2)))
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X5,X4,X3,X6,X7,X8,X9,X10,X0) ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7221]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1682,plain,
% 172.85/173.05 ( hAPP(X0,X1) = X2
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X3,X0,X4,X5,X6,X7,hAPP(hAPP(X6,X1),X2),hAPP(hAPP(X7,X1),X2),X8) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3198_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7217,plain,
% 172.85/173.05 ( hAPP(X0,X1) = X2
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X3,X0,X4,X5,X6,X7,hAPP(hAPP(X6,X1),X2),hAPP(hAPP(X7,X1),X2),X8) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1682]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7218,plain,
% 172.85/173.05 ( ~ c_Lattices_Oboolean__algebra(X0,X1,X2,X3,X4,X5,hAPP(hAPP(X4,X6),X7),hAPP(hAPP(X5,X6),X7),X8)
% 172.85/173.05 | hAPP(X1,X6) = X7 ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7217]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1680,plain,
% 172.85/173.05 ( hAPP(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))) = X2
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X0,X3,X4,X5,X6,X7,X8,X9,X1) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3199_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7213,plain,
% 172.85/173.05 ( hAPP(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))) = X2
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X0,X3,X4,X5,X6,X7,X8,X9,X1) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1680]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7214,plain,
% 172.85/173.05 ( ~ c_Complete__Lattice_Ocomplete__lattice(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(X0,hAPP(hAPP(c_Set_Oinsert(X8),X9),c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)))) = X9 ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7213]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1678,plain,
% 172.85/173.05 ( hAPP(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))) = X2
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X3,X0,X4,X5,X6,X7,X8,X9,X1) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3200_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7209,plain,
% 172.85/173.05 ( hAPP(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)))) = X2
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X3,X0,X4,X5,X6,X7,X8,X9,X1) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1678]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7210,plain,
% 172.85/173.05 ( ~ c_Complete__Lattice_Ocomplete__lattice(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X8),X9),c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)))) = X9 ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7209]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1676,plain,
% 172.85/173.05 ( hAPP(X0,hAPP(hAPP(X1,X2),X3)) = hAPP(hAPP(X4,hAPP(X0,X2)),hAPP(X0,X3))
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X5,X0,X6,X7,X4,X1,X8,X9,X10) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3201_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7205,plain,
% 172.85/173.05 ( hAPP(X0,hAPP(hAPP(X1,X2),X3)) = hAPP(hAPP(X4,hAPP(X0,X2)),hAPP(X0,X3))
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X5,X0,X6,X7,X4,X1,X8,X9,X10) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1676]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7206,plain,
% 172.85/173.05 ( ~ c_Lattices_Oboolean__algebra(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(X1,hAPP(hAPP(X5,X9),X10)) = hAPP(hAPP(X4,hAPP(X1,X9)),hAPP(X1,X10)) ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7205]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1674,plain,
% 172.85/173.05 ( hAPP(X0,hAPP(hAPP(X1,X2),X3)) = hAPP(hAPP(X4,hAPP(X0,X2)),hAPP(X0,X3))
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X5,X0,X6,X7,X1,X4,X8,X9,X10) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3202_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7201,plain,
% 172.85/173.05 ( hAPP(X0,hAPP(hAPP(X1,X2),X3)) = hAPP(hAPP(X4,hAPP(X0,X2)),hAPP(X0,X3))
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X5,X0,X6,X7,X1,X4,X8,X9,X10) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1674]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7202,plain,
% 172.85/173.05 ( ~ c_Lattices_Oboolean__algebra(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(X1,hAPP(hAPP(X4,X9),X10)) = hAPP(hAPP(X5,hAPP(X1,X9)),hAPP(X1,X10)) ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7201]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1672,plain,
% 172.85/173.05 ( hAPP(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)) = hAPP(hAPP(X4,X2),hAPP(X0,X3))
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X0,X5,X6,X7,X4,X8,X9,X10,X1) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3203_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7197,plain,
% 172.85/173.05 ( hAPP(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)) = hAPP(hAPP(X4,X2),hAPP(X0,X3))
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X0,X5,X6,X7,X4,X8,X9,X10,X1) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1672]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7198,plain,
% 172.85/173.05 ( ~ c_Complete__Lattice_Ocomplete__lattice(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(X0,hAPP(hAPP(c_Set_Oinsert(X8),X9),X10)) = hAPP(hAPP(X4,X9),hAPP(X0,X10)) ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7197]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1670,plain,
% 172.85/173.05 ( hAPP(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)) = hAPP(hAPP(X4,X2),hAPP(X0,X3))
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X5,X0,X6,X7,X8,X4,X9,X10,X1) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3204_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7193,plain,
% 172.85/173.05 ( hAPP(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3)) = hAPP(hAPP(X4,X2),hAPP(X0,X3))
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X5,X0,X6,X7,X8,X4,X9,X10,X1) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1670]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7194,plain,
% 172.85/173.05 ( ~ c_Complete__Lattice_Ocomplete__lattice(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(X1,hAPP(hAPP(c_Set_Oinsert(X8),X9),X10)) = hAPP(hAPP(X5,X9),hAPP(X1,X10)) ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7193]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1666,plain,
% 172.85/173.05 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | c_Finite__Set_Olattice_OSup__fin(X2,X0,X1) = hAPP(X3,X0)
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X4,X3,X5,X6,X7,X2,X8,X9,X1)
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3205_3) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7185,plain,
% 172.85/173.05 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | c_Finite__Set_Olattice_OSup__fin(X2,X0,X1) = hAPP(X3,X0)
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X4,X3,X5,X6,X7,X2,X8,X9,X1)
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1666]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7186,plain,
% 172.85/173.05 ( ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X2,X3,X4,X5,X6,X7,X8,X9,X1)
% 172.85/173.05 | c_Finite__Set_Olattice_OSup__fin(X7,X0,X1) = hAPP(X3,X0)
% 172.85/173.05 | X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7185]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1662,plain,
% 172.85/173.05 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | c_Finite__Set_Olattice_OInf__fin(X2,X0,X1) = hAPP(X3,X0)
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X2,X7,X8,X9,X1)
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3206_3) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7177,plain,
% 172.85/173.05 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | c_Finite__Set_Olattice_OInf__fin(X2,X0,X1) = hAPP(X3,X0)
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X3,X4,X5,X6,X2,X7,X8,X9,X1)
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1662]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7178,plain,
% 172.85/173.05 ( ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X2,X3,X4,X5,X6,X7,X8,X9,X1)
% 172.85/173.05 | c_Finite__Set_Olattice_OInf__fin(X6,X0,X1) = hAPP(X2,X0)
% 172.85/173.05 | X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7177]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1660,plain,
% 172.85/173.05 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X3,X1),hAPP(X4,X2))
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X0,X4,X5,X6,X3,X7,X8,X9,X10) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3207_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7173,plain,
% 172.85/173.05 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X3,X1),hAPP(X4,X2))
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X0,X4,X5,X6,X3,X7,X8,X9,X10) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1660]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7174,plain,
% 172.85/173.05 ( ~ c_Lattices_Oboolean__algebra(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(hAPP(X0,X9),X10) = hAPP(hAPP(X4,X9),hAPP(X1,X10)) ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7173]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1658,plain,
% 172.85/173.05 ( hAPP(hAPP(X0,hAPP(X1,X2)),X2) = X3
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X4,X1,X5,X6,X0,X7,X3,X8,X9) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3208_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7169,plain,
% 172.85/173.05 ( hAPP(hAPP(X0,hAPP(X1,X2)),X2) = X3
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X4,X1,X5,X6,X0,X7,X3,X8,X9) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1658]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7170,plain,
% 172.85/173.05 ( ~ c_Lattices_Oboolean__algebra(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(hAPP(X4,hAPP(X1,X9)),X9) = X6 ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7169]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1656,plain,
% 172.85/173.05 ( hAPP(hAPP(X0,hAPP(X1,X2)),X2) = X3
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X4,X1,X5,X6,X7,X0,X8,X3,X9) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3209_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7165,plain,
% 172.85/173.05 ( hAPP(hAPP(X0,hAPP(X1,X2)),X2) = X3
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X4,X1,X5,X6,X7,X0,X8,X3,X9) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1656]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7166,plain,
% 172.85/173.05 ( ~ c_Lattices_Oboolean__algebra(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(hAPP(X5,hAPP(X1,X9)),X9) = X7 ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7165]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1654,plain,
% 172.85/173.05 ( hAPP(hAPP(X0,X1),hAPP(X2,X1)) = X3
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X4,X2,X5,X6,X0,X7,X3,X8,X9) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3210_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7161,plain,
% 172.85/173.05 ( hAPP(hAPP(X0,X1),hAPP(X2,X1)) = X3
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X4,X2,X5,X6,X0,X7,X3,X8,X9) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1654]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7162,plain,
% 172.85/173.05 ( ~ c_Lattices_Oboolean__algebra(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(hAPP(X4,X9),hAPP(X1,X9)) = X6 ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7161]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1652,plain,
% 172.85/173.05 ( hAPP(hAPP(X0,X1),hAPP(X2,X1)) = X3
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X4,X2,X5,X6,X7,X0,X8,X3,X9) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3211_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7157,plain,
% 172.85/173.05 ( hAPP(hAPP(X0,X1),hAPP(X2,X1)) = X3
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X4,X2,X5,X6,X7,X0,X8,X3,X9) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1652]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7158,plain,
% 172.85/173.05 ( ~ c_Lattices_Oboolean__algebra(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(hAPP(X5,X9),hAPP(X1,X9)) = X7 ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7157]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1650,plain,
% 172.85/173.05 ( hAPP(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = X2
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X0,X3,X4,X5,X6,X7,X8,X2,X1) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3212_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7153,plain,
% 172.85/173.05 ( hAPP(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = X2
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X0,X3,X4,X5,X6,X7,X8,X2,X1) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1650]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7154,plain,
% 172.85/173.05 ( ~ c_Complete__Lattice_Ocomplete__lattice(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(X0,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool))) = X7 ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7153]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1648,plain,
% 172.85/173.05 ( hAPP(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = X2
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X3,X0,X4,X5,X6,X7,X2,X8,X1) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3213_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7149,plain,
% 172.85/173.05 ( hAPP(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = X2
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X3,X0,X4,X5,X6,X7,X2,X8,X1) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1648]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7150,plain,
% 172.85/173.05 ( ~ c_Complete__Lattice_Ocomplete__lattice(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(X1,c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool))) = X6 ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7149]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1646,plain,
% 172.85/173.05 ( hAPP(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X3,X0,X4,X5,X6,X7,X8,X2,X1) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3214_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7145,plain,
% 172.85/173.05 ( hAPP(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X3,X0,X4,X5,X6,X7,X8,X2,X1) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1646]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7146,plain,
% 172.85/173.05 ( ~ c_Complete__Lattice_Ocomplete__lattice(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(X1,c_Orderings_Otop__class_Otop(tc_fun(X8,tc_bool))) = X7 ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7145]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1644,plain,
% 172.85/173.05 ( hAPP(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X0,X3,X4,X5,X6,X7,X2,X8,X1) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3215_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7141,plain,
% 172.85/173.05 ( hAPP(X0,c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool))) = X2
% 172.85/173.05 | ~ c_Complete__Lattice_Ocomplete__lattice(X0,X3,X4,X5,X6,X7,X2,X8,X1) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1644]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7142,plain,
% 172.85/173.05 ( ~ c_Complete__Lattice_Ocomplete__lattice(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(X0,c_Orderings_Otop__class_Otop(tc_fun(X8,tc_bool))) = X6 ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7141]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1639,plain,
% 172.85/173.05 ( hAPP(X0,hAPP(X0,X1)) = X1
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X2,X0,X3,X4,X5,X6,X7,X8,X9) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3217_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7131,plain,
% 172.85/173.05 ( hAPP(X0,hAPP(X0,X1)) = X1
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X2,X0,X3,X4,X5,X6,X7,X8,X9) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1639]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7132,plain,
% 172.85/173.05 ( ~ c_Lattices_Oboolean__algebra(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(X1,hAPP(X1,X9)) = X9 ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7131]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1637,plain,
% 172.85/173.05 ( hAPP(X0,X1) = X2
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X3,X0,X4,X5,X6,X7,X1,X2,X8) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3218_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7127,plain,
% 172.85/173.05 ( hAPP(X0,X1) = X2
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X3,X0,X4,X5,X6,X7,X1,X2,X8) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1637]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7128,plain,
% 172.85/173.05 ( ~ c_Lattices_Oboolean__algebra(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(X1,X6) = X7 ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7127]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1635,plain,
% 172.85/173.05 ( hAPP(X0,X1) = X2
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X3,X0,X4,X5,X6,X7,X2,X1,X8) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3219_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7123,plain,
% 172.85/173.05 ( hAPP(X0,X1) = X2
% 172.85/173.05 | ~ c_Lattices_Oboolean__algebra(X3,X0,X4,X5,X6,X7,X2,X1,X8) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1635]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7124,plain,
% 172.85/173.05 ( ~ c_Lattices_Oboolean__algebra(X0,X1,X2,X3,X4,X5,X6,X7,X8)
% 172.85/173.05 | hAPP(X1,X7) = X6 ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7123]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1633,plain,
% 172.85/173.05 ( c_Lattices_Oboolean__algebra(hAPP(hAPP(c_COMBC(X0,tc_fun(X0,X0),tc_fun(X0,X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,X0),tc_fun(tc_fun(X0,X0),tc_fun(X0,X0)),X0),c_COMBB(X0,X0,X0)),c_Lattices_Oupper__semilattice__class_Osup(X0))),c_HOL_Ouminus__class_Ouminus(X0)),c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)),hAPP(c_COMBC(X0,X0,tc_bool),c_HOL_Oord__class_Oless(X0)),c_Lattices_Oupper__semilattice__class_Osup(X0),c_Lattices_Olower__semilattice__class_Oinf(X0),c_Orderings_Otop__class_Otop(X0),c_Orderings_Obot__class_Obot(X0),X0)
% 172.85/173.05 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3220_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7119,plain,
% 172.85/173.05 ( c_Lattices_Oboolean__algebra(hAPP(hAPP(c_COMBC(X0,tc_fun(X0,X0),tc_fun(X0,X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,X0),tc_fun(tc_fun(X0,X0),tc_fun(X0,X0)),X0),c_COMBB(X0,X0,X0)),c_Lattices_Oupper__semilattice__class_Osup(X0))),c_HOL_Ouminus__class_Ouminus(X0)),c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)),hAPP(c_COMBC(X0,X0,tc_bool),c_HOL_Oord__class_Oless(X0)),c_Lattices_Oupper__semilattice__class_Osup(X0),c_Lattices_Olower__semilattice__class_Oinf(X0),c_Orderings_Otop__class_Otop(X0),c_Orderings_Obot__class_Obot(X0),X0)
% 172.85/173.05 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1633]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7120,plain,
% 172.85/173.05 ( ~ class_Lattices_Oboolean__algebra(X0)
% 172.85/173.05 | c_Lattices_Oboolean__algebra(hAPP(hAPP(c_COMBC(X0,tc_fun(X0,X0),tc_fun(X0,X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,X0),tc_fun(tc_fun(X0,X0),tc_fun(X0,X0)),X0),c_COMBB(X0,X0,X0)),c_Lattices_Oupper__semilattice__class_Osup(X0))),c_HOL_Ouminus__class_Ouminus(X0)),c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)),hAPP(c_COMBC(X0,X0,tc_bool),c_HOL_Oord__class_Oless(X0)),c_Lattices_Oupper__semilattice__class_Osup(X0),c_Lattices_Olower__semilattice__class_Oinf(X0),c_Orderings_Otop__class_Otop(X0),c_Orderings_Obot__class_Obot(X0),X0) ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7119]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1631,plain,
% 172.85/173.05 ( c_Complete__Lattice_Ocomplete__lattice(c_Complete__Lattice_OSup__class_OSup(X0),c_Complete__Lattice_OInf__class_OInf(X0),hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)),hAPP(c_COMBC(X0,X0,tc_bool),c_HOL_Oord__class_Oless(X0)),c_Lattices_Oupper__semilattice__class_Osup(X0),c_Lattices_Olower__semilattice__class_Oinf(X0),c_Orderings_Otop__class_Otop(X0),c_Orderings_Obot__class_Obot(X0),X0)
% 172.85/173.05 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3221_1) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7115,plain,
% 172.85/173.05 ( c_Complete__Lattice_Ocomplete__lattice(c_Complete__Lattice_OSup__class_OSup(X0),c_Complete__Lattice_OInf__class_OInf(X0),hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)),hAPP(c_COMBC(X0,X0,tc_bool),c_HOL_Oord__class_Oless(X0)),c_Lattices_Oupper__semilattice__class_Osup(X0),c_Lattices_Olower__semilattice__class_Oinf(X0),c_Orderings_Otop__class_Otop(X0),c_Orderings_Obot__class_Obot(X0),X0)
% 172.85/173.05 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1631]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7116,plain,
% 172.85/173.05 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.85/173.05 | c_Complete__Lattice_Ocomplete__lattice(c_Complete__Lattice_OSup__class_OSup(X0),c_Complete__Lattice_OInf__class_OInf(X0),hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)),hAPP(c_COMBC(X0,X0,tc_bool),c_HOL_Oord__class_Oless(X0)),c_Lattices_Oupper__semilattice__class_Osup(X0),c_Lattices_Olower__semilattice__class_Oinf(X0),c_Orderings_Otop__class_Otop(X0),c_Orderings_Obot__class_Obot(X0),X0) ),
% 172.85/173.05 inference(rewriting,[status(thm)],[c_7115]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_1627,plain,
% 172.85/173.05 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | c_Finite__Set_Olattice_OInf__fin(X2,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1))),hAPP(X3,X4))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),X1) = hAPP(hAPP(X3,X4),c_Finite__Set_Olattice_OInf__fin(X2,X0,X1))
% 172.85/173.05 | ~ c_Lattices_Odistrib__lattice(X5,X6,X2,X3,X1)
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 172.85/173.05 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3222_3) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7107,plain,
% 172.85/173.05 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.05 | c_Finite__Set_Olattice_OInf__fin(X2,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1))),hAPP(X3,X4))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),X1) = hAPP(hAPP(X3,X4),c_Finite__Set_Olattice_OInf__fin(X2,X0,X1))
% 172.85/173.05 | ~ c_Lattices_Odistrib__lattice(X5,X6,X2,X3,X1)
% 172.85/173.05 | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 172.85/173.05 inference(copy,[status(esa)],[c_1627]) ).
% 172.85/173.05
% 172.85/173.05 cnf(c_7108,plain,
% 172.85/173.05 ( ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.05 | ~ c_Lattices_Odistrib__lattice(X2,X3,X4,X5,X1)
% 172.85/173.05 | c_Finite__Set_Olattice_OInf__fin(X4,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1))),hAPP(X5,X6))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),X1) = hAPP(hAPP(X5,X6),c_Finite__Set_Olattice_OInf__fin(X4,X0,X1))
% 172.85/173.05 | X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_7107]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1623,plain,
% 172.85/173.06 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.06 | c_Finite__Set_Olattice_OSup__fin(X2,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1))),hAPP(X3,X4))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),X1) = hAPP(hAPP(X3,X4),c_Finite__Set_Olattice_OSup__fin(X2,X0,X1))
% 172.85/173.06 | ~ c_Lattices_Odistrib__lattice(X5,X6,X3,X2,X1)
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3223_3) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7099,plain,
% 172.85/173.06 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.06 | c_Finite__Set_Olattice_OSup__fin(X2,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1))),hAPP(X3,X4))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),X1) = hAPP(hAPP(X3,X4),c_Finite__Set_Olattice_OSup__fin(X2,X0,X1))
% 172.85/173.06 | ~ c_Lattices_Odistrib__lattice(X5,X6,X3,X2,X1)
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(X0,X1) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1623]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7100,plain,
% 172.85/173.06 ( ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.06 | ~ c_Lattices_Odistrib__lattice(X2,X3,X4,X5,X1)
% 172.85/173.06 | c_Finite__Set_Olattice_OSup__fin(X5,hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1))),hAPP(X4,X6))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),X1) = hAPP(hAPP(X4,X6),c_Finite__Set_Olattice_OSup__fin(X5,X0,X1))
% 172.85/173.06 | X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_7099]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1619,plain,
% 172.85/173.06 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.06 | c_Finite__Set_Olattice__class_OSup__fin(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1))),hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Finite__Set_Olattice__class_OSup__fin(X0,X1))
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.06 | ~ class_Lattices_Odistrib__lattice(X1) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3224_3) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7091,plain,
% 172.85/173.06 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.06 | c_Finite__Set_Olattice__class_OSup__fin(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1))),hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),X1) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),c_Finite__Set_Olattice__class_OSup__fin(X0,X1))
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.06 | ~ class_Lattices_Odistrib__lattice(X1) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1619]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7092,plain,
% 172.85/173.06 ( ~ class_Lattices_Odistrib__lattice(X0)
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.85/173.06 | c_Finite__Set_Olattice__class_OSup__fin(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0)),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBS(X0,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and)),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,X0),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),X0),c_COMBB(X0,tc_bool,X0)),c_fequal(X0))),hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2))))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))),X0) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),c_Finite__Set_Olattice__class_OSup__fin(X1,X0))
% 172.85/173.06 | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_7091]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1615,plain,
% 172.85/173.06 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.06 | c_Finite__Set_Olattice__class_OInf__fin(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1))),hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Finite__Set_Olattice__class_OInf__fin(X0,X1))
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.06 | ~ class_Lattices_Odistrib__lattice(X1) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3225_3) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7083,plain,
% 172.85/173.06 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.06 | c_Finite__Set_Olattice__class_OInf__fin(hAPP(c_Collect(X1),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_Ex(X1)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X1),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X1),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X1),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,X1),tc_fun(X1,tc_bool)),X1),c_COMBB(X1,tc_bool,X1)),c_fequal(X1))),hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2))))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,tc_bool),tc_bool),c_in(X1)),X0)))),X1) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),c_Finite__Set_Olattice__class_OInf__fin(X0,X1))
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.06 | ~ class_Lattices_Odistrib__lattice(X1) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1615]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7084,plain,
% 172.85/173.06 ( ~ class_Lattices_Odistrib__lattice(X0)
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.85/173.06 | c_Finite__Set_Olattice__class_OInf__fin(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_Ex(X0)),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBS(X0,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and)),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,X0),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X0,X0),tc_fun(X0,tc_bool)),X0),c_COMBB(X0,tc_bool,X0)),c_fequal(X0))),hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2))))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))),X0) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),c_Finite__Set_Olattice__class_OInf__fin(X1,X0))
% 172.85/173.06 | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_7083]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1613,plain,
% 172.85/173.06 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X0),c_Ex(X1)),hAPP(hAPP(c_COMBC(X0,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X0),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(hAPP(c_COMBC(X0,tc_fun(X1,X0),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X1,X0),tc_fun(X1,tc_bool)),X0),c_COMBB(X0,tc_bool,X1)),c_fequal(X0))),X2)))),X3))),X0)
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X1),X3),X1) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3226_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7079,plain,
% 172.85/173.06 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X0),c_Ex(X1)),hAPP(hAPP(c_COMBC(X0,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X0),c_COMBS(X1,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and)),hAPP(hAPP(c_COMBC(X0,tc_fun(X1,X0),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X1,X0),tc_fun(X1,tc_bool)),X0),c_COMBB(X0,tc_bool,X1)),c_fequal(X0))),X2)))),X3))),X0)
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X1),X3),X1) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1613]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1610,plain,
% 172.85/173.06 ( hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,tc_fun(X0,X1)),c_All(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool),tc_fun(X0,X1)),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_All(X0))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,X1)),hAPP(c_COMBS(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBS(X0,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_implies)),X2)))),hAPP(hAPP(c_COMBS(tc_fun(X0,X1),tc_fun(X0,X1),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_fun(X0,X1),tc_fun(X0,tc_bool))),tc_fun(tc_fun(X0,X1),tc_fun(X0,tc_fun(X0,tc_bool))),tc_fun(X0,X1)),c_COMBC(X0,tc_fun(X0,X1),tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X1,tc_bool)),tc_fun(X0,tc_fun(tc_fun(X0,X1),tc_fun(X0,tc_bool))),tc_fun(X0,X1)),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X0,X1),tc_fun(X0,tc_bool)),X0),c_COMBB(X1,tc_bool,X0))),hAPP(c_COMBB(X1,tc_fun(X1,tc_bool),X0),c_lessequals(X1))))),c_COMBI(tc_fun(X0,X1)))))) = c_Orderings_Oorder_Omono(X2,X0,X1)
% 172.85/173.06 | ~ c_Orderings_Oorder(X2,X3,X0)
% 172.85/173.06 | ~ class_Orderings_Oorder(X1) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3227_2) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7073,plain,
% 172.85/173.06 ( hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,tc_fun(X0,X1)),c_All(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool),tc_fun(X0,X1)),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_All(X0))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,X1)),hAPP(c_COMBS(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBS(X0,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_implies)),X2)))),hAPP(hAPP(c_COMBS(tc_fun(X0,X1),tc_fun(X0,X1),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_fun(X0,X1),tc_fun(X0,tc_bool))),tc_fun(tc_fun(X0,X1),tc_fun(X0,tc_fun(X0,tc_bool))),tc_fun(X0,X1)),c_COMBC(X0,tc_fun(X0,X1),tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X1,tc_bool)),tc_fun(X0,tc_fun(tc_fun(X0,X1),tc_fun(X0,tc_bool))),tc_fun(X0,X1)),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X0,X1),tc_fun(X0,tc_bool)),X0),c_COMBB(X1,tc_bool,X0))),hAPP(c_COMBB(X1,tc_fun(X1,tc_bool),X0),c_lessequals(X1))))),c_COMBI(tc_fun(X0,X1)))))) = c_Orderings_Oorder_Omono(X2,X0,X1)
% 172.85/173.06 | ~ c_Orderings_Oorder(X2,X3,X0)
% 172.85/173.06 | ~ class_Orderings_Oorder(X1) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1610]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7074,plain,
% 172.85/173.06 ( ~ class_Orderings_Oorder(X0)
% 172.85/173.06 | ~ c_Orderings_Oorder(X1,X2,X3)
% 172.85/173.06 | hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_bool,tc_fun(X3,X0)),c_All(X3)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool),tc_fun(X3,X0)),hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_bool,X3),c_All(X3))),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(X3,tc_bool)),tc_fun(X3,tc_fun(X3,tc_bool)),tc_fun(X3,X0)),hAPP(c_COMBS(X3,tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),X3),c_COMBS(X3,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_fun(tc_bool,tc_bool)),X3),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X3),c_implies)),X1)))),hAPP(hAPP(c_COMBS(tc_fun(X3,X0),tc_fun(X3,X0),tc_fun(X3,tc_fun(X3,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_fun(X3,X0),tc_fun(X3,tc_bool))),tc_fun(tc_fun(X3,X0),tc_fun(X3,tc_fun(X3,tc_bool))),tc_fun(X3,X0)),c_COMBC(X3,tc_fun(X3,X0),tc_fun(X3,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(X0,tc_bool)),tc_fun(X3,tc_fun(tc_fun(X3,X0),tc_fun(X3,tc_bool))),tc_fun(X3,X0)),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X3,X0),tc_fun(X3,tc_bool)),X3),c_COMBB(X0,tc_bool,X3))),hAPP(c_COMBB(X0,tc_fun(X0,tc_bool),X3),c_lessequals(X0))))),c_COMBI(tc_fun(X3,X0)))))) = c_Orderings_Oorder_Omono(X1,X3,X0) ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_7073]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1607,plain,
% 172.85/173.06 ( hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,tc_fun(X0,X1)),c_All(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool),tc_fun(X0,X1)),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_All(X0))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,X1)),hAPP(c_COMBS(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBS(X0,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_implies)),X2)))),hAPP(hAPP(c_COMBS(tc_fun(X0,X1),tc_fun(X0,X1),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_fun(X0,X1),tc_fun(X0,tc_bool))),tc_fun(tc_fun(X0,X1),tc_fun(X0,tc_fun(X0,tc_bool))),tc_fun(X0,X1)),c_COMBC(X0,tc_fun(X0,X1),tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X1,tc_bool)),tc_fun(X0,tc_fun(tc_fun(X0,X1),tc_fun(X0,tc_bool))),tc_fun(X0,X1)),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X0,X1),tc_fun(X0,tc_bool)),X0),c_COMBB(X1,tc_bool,X0))),hAPP(c_COMBB(X1,tc_fun(X1,tc_bool),X0),c_HOL_Oord__class_Oless(X1))))),c_COMBI(tc_fun(X0,X1)))))) = c_Orderings_Oorder_Ostrict__mono(X2,X0,X1)
% 172.85/173.06 | ~ c_Orderings_Oorder(X3,X2,X0)
% 172.85/173.06 | ~ class_Orderings_Oorder(X1) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3228_2) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7067,plain,
% 172.85/173.06 ( hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,tc_fun(X0,X1)),c_All(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_bool),tc_fun(X0,X1)),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_All(X0))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,tc_fun(X0,tc_bool)),tc_fun(X0,X1)),hAPP(c_COMBS(X0,tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool)),X0),c_COMBS(X0,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_fun(tc_bool,tc_bool)),X0),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_implies)),X2)))),hAPP(hAPP(c_COMBS(tc_fun(X0,X1),tc_fun(X0,X1),tc_fun(X0,tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(tc_fun(X0,X1),tc_fun(X0,tc_bool))),tc_fun(tc_fun(X0,X1),tc_fun(X0,tc_fun(X0,tc_bool))),tc_fun(X0,X1)),c_COMBC(X0,tc_fun(X0,X1),tc_fun(X0,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_fun(X1,tc_bool)),tc_fun(X0,tc_fun(tc_fun(X0,X1),tc_fun(X0,tc_bool))),tc_fun(X0,X1)),hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X0,X1),tc_fun(X0,tc_bool)),X0),c_COMBB(X1,tc_bool,X0))),hAPP(c_COMBB(X1,tc_fun(X1,tc_bool),X0),c_HOL_Oord__class_Oless(X1))))),c_COMBI(tc_fun(X0,X1)))))) = c_Orderings_Oorder_Ostrict__mono(X2,X0,X1)
% 172.85/173.06 | ~ c_Orderings_Oorder(X3,X2,X0)
% 172.85/173.06 | ~ class_Orderings_Oorder(X1) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1607]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7068,plain,
% 172.85/173.06 ( ~ class_Orderings_Oorder(X0)
% 172.85/173.06 | ~ c_Orderings_Oorder(X1,X2,X3)
% 172.85/173.06 | hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_bool,tc_fun(X3,X0)),c_All(X3)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(X3,tc_bool)),tc_fun(X3,tc_bool),tc_fun(X3,X0)),hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_bool,X3),c_All(X3))),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(X3,tc_bool)),tc_fun(X3,tc_fun(X3,tc_bool)),tc_fun(X3,X0)),hAPP(c_COMBS(X3,tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool)),X3),c_COMBS(X3,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_fun(tc_bool,tc_bool)),X3),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X3),c_implies)),X2)))),hAPP(hAPP(c_COMBS(tc_fun(X3,X0),tc_fun(X3,X0),tc_fun(X3,tc_fun(X3,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_fun(X3,X0),tc_fun(X3,tc_bool))),tc_fun(tc_fun(X3,X0),tc_fun(X3,tc_fun(X3,tc_bool))),tc_fun(X3,X0)),c_COMBC(X3,tc_fun(X3,X0),tc_fun(X3,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(X0,tc_bool)),tc_fun(X3,tc_fun(tc_fun(X3,X0),tc_fun(X3,tc_bool))),tc_fun(X3,X0)),hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X3,X0),tc_fun(X3,tc_bool)),X3),c_COMBB(X0,tc_bool,X3))),hAPP(c_COMBB(X0,tc_fun(X0,tc_bool),X3),c_HOL_Oord__class_Oless(X0))))),c_COMBI(tc_fun(X3,X0)))))) = c_Orderings_Oorder_Ostrict__mono(X2,X3,X0) ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_7067]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1605,plain,
% 172.85/173.06 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(X1,X2)
% 172.85/173.06 | hAPP(hAPP(c_Finite__Set_Osetsum(X3,X0),hAPP(hAPP(c_COMBS(X3,tc_fun(X2,tc_bool),X0),hAPP(hAPP(c_COMBB(tc_fun(X2,X0),tc_fun(tc_fun(X2,tc_bool),X0),X3),c_Finite__Set_Osetsum(X2,X0)),X4)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X3),c_Collect(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X3),hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X1)))),X5)))),X6) = hAPP(hAPP(c_Finite__Set_Osetsum(X2,X0),hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_bool),X0),hAPP(hAPP(c_COMBB(tc_fun(X3,X0),tc_fun(tc_fun(X3,tc_bool),X0),X2),c_Finite__Set_Osetsum(X3,X0)),hAPP(c_COMBC(X3,X2,X0),X4))),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X2),c_Collect(X3)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X2),hAPP(c_COMBS(X3,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X3),c_and),hAPP(hAPP(c_COMBC(X3,tc_fun(X3,tc_bool),tc_bool),c_in(X3)),X6)))),hAPP(c_COMBC(X3,X2,tc_bool),X5))))),X1)
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(X6,X3) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3229_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7063,plain,
% 172.85/173.06 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(X1,X2)
% 172.85/173.06 | hAPP(hAPP(c_Finite__Set_Osetsum(X3,X0),hAPP(hAPP(c_COMBS(X3,tc_fun(X2,tc_bool),X0),hAPP(hAPP(c_COMBB(tc_fun(X2,X0),tc_fun(tc_fun(X2,tc_bool),X0),X3),c_Finite__Set_Osetsum(X2,X0)),X4)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X3),c_Collect(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X3),hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X1)))),X5)))),X6) = hAPP(hAPP(c_Finite__Set_Osetsum(X2,X0),hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_bool),X0),hAPP(hAPP(c_COMBB(tc_fun(X3,X0),tc_fun(tc_fun(X3,tc_bool),X0),X2),c_Finite__Set_Osetsum(X3,X0)),hAPP(c_COMBC(X3,X2,X0),X4))),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X2),c_Collect(X3)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X2),hAPP(c_COMBS(X3,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X3),c_and),hAPP(hAPP(c_COMBC(X3,tc_fun(X3,tc_bool),tc_bool),c_in(X3)),X6)))),hAPP(c_COMBC(X3,X2,tc_bool),X5))))),X1)
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(X6,X3) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1605]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7064,plain,
% 172.85/173.06 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(X1,X2)
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(X3,X4)
% 172.85/173.06 | hAPP(hAPP(c_Finite__Set_Osetsum(X4,X0),hAPP(hAPP(c_COMBS(X4,tc_fun(X2,tc_bool),X0),hAPP(hAPP(c_COMBB(tc_fun(X2,X0),tc_fun(tc_fun(X2,tc_bool),X0),X4),c_Finite__Set_Osetsum(X2,X0)),X5)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X4),c_Collect(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X4),hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X1)))),X6)))),X3) = hAPP(hAPP(c_Finite__Set_Osetsum(X2,X0),hAPP(hAPP(c_COMBS(X2,tc_fun(X4,tc_bool),X0),hAPP(hAPP(c_COMBB(tc_fun(X4,X0),tc_fun(tc_fun(X4,tc_bool),X0),X2),c_Finite__Set_Osetsum(X4,X0)),hAPP(c_COMBC(X4,X2,X0),X5))),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool),X2),c_Collect(X4)),hAPP(hAPP(c_COMBB(tc_fun(X4,tc_bool),tc_fun(X4,tc_bool),X2),hAPP(c_COMBS(X4,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X4),c_and),hAPP(hAPP(c_COMBC(X4,tc_fun(X4,tc_bool),tc_bool),c_in(X4)),X3)))),hAPP(c_COMBC(X4,X2,tc_bool),X6))))),X1) ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_7063]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1601,plain,
% 172.85/173.06 ( hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),hAPP(hAPP(c_COMBC(X0,tc_fun(X2,tc_bool),X1),hAPP(hAPP(c_COMBB(tc_fun(X2,X1),tc_fun(tc_fun(X2,tc_bool),X1),X0),c_Finite__Set_Osetsum(X2,X1)),hAPP(hAPP(c_COMBC(X0,tc_fun(X2,X1),tc_fun(X2,X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,X1),tc_fun(tc_fun(X2,X1),tc_fun(X2,X1)),X0),c_COMBB(X1,X1,X2)),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X0),c_HOL_Otimes__class_Otimes(X1)),X3))),X4))),X5)),X6) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),X3),X6)),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X4),X5))
% 172.85/173.06 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3230_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7055,plain,
% 172.85/173.06 ( hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),hAPP(hAPP(c_COMBC(X0,tc_fun(X2,tc_bool),X1),hAPP(hAPP(c_COMBB(tc_fun(X2,X1),tc_fun(tc_fun(X2,tc_bool),X1),X0),c_Finite__Set_Osetsum(X2,X1)),hAPP(hAPP(c_COMBC(X0,tc_fun(X2,X1),tc_fun(X2,X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,X1),tc_fun(tc_fun(X2,X1),tc_fun(X2,X1)),X0),c_COMBB(X1,X1,X2)),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X0),c_HOL_Otimes__class_Otimes(X1)),X3))),X4))),X5)),X6) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),X3),X6)),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),X4),X5))
% 172.85/173.06 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1601]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7056,plain,
% 172.85/173.06 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 172.85/173.06 | hAPP(hAPP(c_Finite__Set_Osetsum(X1,X0),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),X0),hAPP(hAPP(c_COMBB(tc_fun(X2,X0),tc_fun(tc_fun(X2,tc_bool),X0),X1),c_Finite__Set_Osetsum(X2,X0)),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,X0),tc_fun(X2,X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,X0),tc_fun(tc_fun(X2,X0),tc_fun(X2,X0)),X1),c_COMBB(X0,X0,X2)),hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Otimes__class_Otimes(X0)),X3))),X4))),X5)),X6) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X0),X3),X6)),hAPP(hAPP(c_Finite__Set_Osetsum(X2,X0),X4),X5)) ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_7055]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1599,plain,
% 172.85/173.06 ( c_Hilbert__Choice_OEps(hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),X1)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_All(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool),X0),hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_implies),X1))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,X2),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X0,X2),tc_fun(X0,tc_bool)),X0),c_COMBB(X2,tc_bool,X0)),hAPP(hAPP(c_COMBB(X2,tc_fun(X2,tc_bool),X0),c_lessequals(X2)),X3))),X3)))),X0) = c_Hilbert__Choice_OLeastM(X3,X1,X0,X2)
% 172.85/173.06 | ~ class_HOL_Oord(X2) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3231_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7051,plain,
% 172.85/173.06 ( c_Hilbert__Choice_OEps(hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),X1)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_All(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool),X0),hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_implies),X1))),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,X2),tc_fun(X0,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X0,X2),tc_fun(X0,tc_bool)),X0),c_COMBB(X2,tc_bool,X0)),hAPP(hAPP(c_COMBB(X2,tc_fun(X2,tc_bool),X0),c_lessequals(X2)),X3))),X3)))),X0) = c_Hilbert__Choice_OLeastM(X3,X1,X0,X2)
% 172.85/173.06 | ~ class_HOL_Oord(X2) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1599]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7052,plain,
% 172.85/173.06 ( ~ class_HOL_Oord(X0)
% 172.85/173.06 | c_Hilbert__Choice_OEps(hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X2)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_All(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X1),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies),X2))),hAPP(hAPP(c_COMBC(X1,tc_fun(X1,X0),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(tc_fun(X1,X0),tc_fun(X1,tc_bool)),X1),c_COMBB(X0,tc_bool,X1)),hAPP(hAPP(c_COMBB(X0,tc_fun(X0,tc_bool),X1),c_lessequals(X0)),X3))),X3)))),X1) = c_Hilbert__Choice_OLeastM(X3,X2,X1,X0) ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_7051]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1597,plain,
% 172.85/173.06 ( X0 = X1
% 172.85/173.06 | hAPP(hAPP(c_COMBC(X2,tc_fun(tc_prod(X2,X3),tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_fun(tc_prod(X2,X3),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(X2,X3),tc_bool),tc_fun(X3,tc_bool)),X2),c_COMBC(X3,tc_fun(tc_prod(X2,X3),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_prod(X2,X3)),tc_fun(X3,tc_fun(tc_fun(tc_prod(X2,X3),tc_bool),tc_bool)),X2),hAPP(c_COMBB(tc_prod(X2,X3),tc_fun(tc_fun(tc_prod(X2,X3),tc_bool),tc_bool),X3),c_in(tc_prod(X2,X3)))),c_Pair(X2,X3)))),X0) != hAPP(hAPP(c_COMBC(X2,tc_fun(tc_prod(X2,X3),tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_fun(tc_prod(X2,X3),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(X2,X3),tc_bool),tc_fun(X3,tc_bool)),X2),c_COMBC(X3,tc_fun(tc_prod(X2,X3),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_prod(X2,X3)),tc_fun(X3,tc_fun(tc_fun(tc_prod(X2,X3),tc_bool),tc_bool)),X2),hAPP(c_COMBB(tc_prod(X2,X3),tc_fun(tc_fun(tc_prod(X2,X3),tc_bool),tc_bool),X3),c_in(tc_prod(X2,X3)))),c_Pair(X2,X3)))),X1) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3232_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7047,plain,
% 172.85/173.06 ( X0 = X1
% 172.85/173.06 | hAPP(hAPP(c_COMBC(X2,tc_fun(tc_prod(X2,X3),tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_fun(tc_prod(X2,X3),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(X2,X3),tc_bool),tc_fun(X3,tc_bool)),X2),c_COMBC(X3,tc_fun(tc_prod(X2,X3),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_prod(X2,X3)),tc_fun(X3,tc_fun(tc_fun(tc_prod(X2,X3),tc_bool),tc_bool)),X2),hAPP(c_COMBB(tc_prod(X2,X3),tc_fun(tc_fun(tc_prod(X2,X3),tc_bool),tc_bool),X3),c_in(tc_prod(X2,X3)))),c_Pair(X2,X3)))),X0) != hAPP(hAPP(c_COMBC(X2,tc_fun(tc_prod(X2,X3),tc_bool),tc_fun(X3,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_fun(tc_fun(tc_prod(X2,X3),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(X2,X3),tc_bool),tc_fun(X3,tc_bool)),X2),c_COMBC(X3,tc_fun(tc_prod(X2,X3),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_prod(X2,X3)),tc_fun(X3,tc_fun(tc_fun(tc_prod(X2,X3),tc_bool),tc_bool)),X2),hAPP(c_COMBB(tc_prod(X2,X3),tc_fun(tc_fun(tc_prod(X2,X3),tc_bool),tc_bool),X3),c_in(tc_prod(X2,X3)))),c_Pair(X2,X3)))),X1) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1597]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7048,plain,
% 172.85/173.06 ( hAPP(hAPP(c_COMBC(X0,tc_fun(tc_prod(X0,X1),tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X0,X1),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(X0,X1),tc_bool),tc_fun(X1,tc_bool)),X0),c_COMBC(X1,tc_fun(tc_prod(X0,X1),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X0,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X0,X1),tc_bool),tc_bool)),X0),hAPP(c_COMBB(tc_prod(X0,X1),tc_fun(tc_fun(tc_prod(X0,X1),tc_bool),tc_bool),X1),c_in(tc_prod(X0,X1)))),c_Pair(X0,X1)))),X2) != hAPP(hAPP(c_COMBC(X0,tc_fun(tc_prod(X0,X1),tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(tc_fun(tc_prod(X0,X1),tc_bool),tc_bool)),tc_fun(tc_fun(tc_prod(X0,X1),tc_bool),tc_fun(X1,tc_bool)),X0),c_COMBC(X1,tc_fun(tc_prod(X0,X1),tc_bool),tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_prod(X0,X1)),tc_fun(X1,tc_fun(tc_fun(tc_prod(X0,X1),tc_bool),tc_bool)),X0),hAPP(c_COMBB(tc_prod(X0,X1),tc_fun(tc_fun(tc_prod(X0,X1),tc_bool),tc_bool),X1),c_in(tc_prod(X0,X1)))),c_Pair(X0,X1)))),X3)
% 172.85/173.06 | X2 = X3 ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_7047]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1590,plain,
% 172.85/173.06 ( hAPP(c_All(t_a),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies)),c_HOL_Oord__class_Oless(t_a)))),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_fun(tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),t_a),c_COMBB(t_b,tc_bool,t_a)),hAPP(hAPP(c_COMBB(t_b,tc_fun(t_b,tc_bool),t_a),c_HOL_Oord__class_Oless(t_b)),v_f))),v_f)))) = c_Orderings_Oorder__class_Ostrict__mono(v_f,t_a,t_b)
% 172.85/173.06 | ~ class_Orderings_Oorder(t_b)
% 172.85/173.06 | ~ class_Orderings_Oorder(t_a) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3234_2) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7033,plain,
% 172.85/173.06 ( hAPP(c_All(t_a),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies)),c_HOL_Oord__class_Oless(t_a)))),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_fun(tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),t_a),c_COMBB(t_b,tc_bool,t_a)),hAPP(hAPP(c_COMBB(t_b,tc_fun(t_b,tc_bool),t_a),c_HOL_Oord__class_Oless(t_b)),v_f))),v_f)))) = c_Orderings_Oorder__class_Ostrict__mono(v_f,t_a,t_b)
% 172.85/173.06 | ~ class_Orderings_Oorder(t_b)
% 172.85/173.06 | ~ class_Orderings_Oorder(t_a) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1590]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7034,plain,
% 172.85/173.06 ( ~ class_Orderings_Oorder(t_a)
% 172.85/173.06 | ~ class_Orderings_Oorder(t_b)
% 172.85/173.06 | hAPP(c_All(t_a),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies)),c_HOL_Oord__class_Oless(t_a)))),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_fun(tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),t_a),c_COMBB(t_b,tc_bool,t_a)),hAPP(hAPP(c_COMBB(t_b,tc_fun(t_b,tc_bool),t_a),c_HOL_Oord__class_Oless(t_b)),v_f))),v_f)))) = c_Orderings_Oorder__class_Ostrict__mono(v_f,t_a,t_b) ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_7033]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1587,plain,
% 172.85/173.06 ( hAPP(c_All(t_a),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies)),c_lessequals(t_a)))),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_fun(tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),t_a),c_COMBB(t_b,tc_bool,t_a)),hAPP(hAPP(c_COMBB(t_b,tc_fun(t_b,tc_bool),t_a),c_lessequals(t_b)),v_f))),v_f)))) = c_Orderings_Oorder__class_Omono(v_f,t_a,t_b)
% 172.85/173.06 | ~ class_Orderings_Oorder(t_b)
% 172.85/173.06 | ~ class_Orderings_Oorder(t_a) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3235_2) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7027,plain,
% 172.85/173.06 ( hAPP(c_All(t_a),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies)),c_lessequals(t_a)))),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_fun(tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),t_a),c_COMBB(t_b,tc_bool,t_a)),hAPP(hAPP(c_COMBB(t_b,tc_fun(t_b,tc_bool),t_a),c_lessequals(t_b)),v_f))),v_f)))) = c_Orderings_Oorder__class_Omono(v_f,t_a,t_b)
% 172.85/173.06 | ~ class_Orderings_Oorder(t_b)
% 172.85/173.06 | ~ class_Orderings_Oorder(t_a) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1587]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7028,plain,
% 172.85/173.06 ( ~ class_Orderings_Oorder(t_a)
% 172.85/173.06 | ~ class_Orderings_Oorder(t_b)
% 172.85/173.06 | hAPP(c_All(t_a),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBS(t_a,tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool)),t_a),c_COMBS(t_a,tc_bool,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_fun(tc_bool,tc_bool)),t_a),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies)),c_lessequals(t_a)))),hAPP(hAPP(c_COMBC(t_a,tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(t_b,tc_bool),tc_fun(tc_fun(t_a,t_b),tc_fun(t_a,tc_bool)),t_a),c_COMBB(t_b,tc_bool,t_a)),hAPP(hAPP(c_COMBB(t_b,tc_fun(t_b,tc_bool),t_a),c_lessequals(t_b)),v_f))),v_f)))) = c_Orderings_Oorder__class_Omono(v_f,t_a,t_b) ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_7027]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1585,plain,
% 172.85/173.06 ( c_Hilbert__Choice_OEps(hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),X1)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_All(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool),X0),hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_implies),X1))),hAPP(hAPP(c_COMBB(X2,tc_fun(X0,tc_bool),X0),hAPP(c_COMBC(X0,X2,tc_bool),hAPP(hAPP(c_COMBB(X2,tc_fun(X2,tc_bool),X0),c_lessequals(X2)),X3))),X3)))),X0) = c_Hilbert__Choice_OGreatestM(X3,X1,X0,X2)
% 172.85/173.06 | ~ class_HOL_Oord(X2) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3237_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7023,plain,
% 172.85/173.06 ( c_Hilbert__Choice_OEps(hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),X1)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_All(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool),X0),hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_implies),X1))),hAPP(hAPP(c_COMBB(X2,tc_fun(X0,tc_bool),X0),hAPP(c_COMBC(X0,X2,tc_bool),hAPP(hAPP(c_COMBB(X2,tc_fun(X2,tc_bool),X0),c_lessequals(X2)),X3))),X3)))),X0) = c_Hilbert__Choice_OGreatestM(X3,X1,X0,X2)
% 172.85/173.06 | ~ class_HOL_Oord(X2) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1585]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7024,plain,
% 172.85/173.06 ( ~ class_HOL_Oord(X0)
% 172.85/173.06 | c_Hilbert__Choice_OEps(hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X2)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X1),c_All(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X1),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_implies),X2))),hAPP(hAPP(c_COMBB(X0,tc_fun(X1,tc_bool),X1),hAPP(c_COMBC(X1,X0,tc_bool),hAPP(hAPP(c_COMBB(X0,tc_fun(X0,tc_bool),X1),c_lessequals(X0)),X3))),X3)))),X1) = c_Hilbert__Choice_OGreatestM(X3,X2,X1,X0) ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_7023]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1583,plain,
% 172.85/173.06 ( c_Lattices_Obounded__lattice(hAPP(c_COMBC(X0,X0,tc_bool),X1),hAPP(c_COMBC(X0,X0,tc_bool),X2),X3,X4,X5,X6,X0)
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X1,X2,X4,X3,X6,X5,X0) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3238_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7019,plain,
% 172.85/173.06 ( c_Lattices_Obounded__lattice(hAPP(c_COMBC(X0,X0,tc_bool),X1),hAPP(c_COMBC(X0,X0,tc_bool),X2),X3,X4,X5,X6,X0)
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X1,X2,X4,X3,X6,X5,X0) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1583]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1581,plain,
% 172.85/173.06 ( hAPP(c_Complete__Lattice_OInf__class_OInf(X0),hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_All(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool),X0),hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_implies),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))),hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)))))) = hAPP(c_Complete__Lattice_OSup__class_OSup(X0),X1)
% 172.85/173.06 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3239_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7015,plain,
% 172.85/173.06 ( hAPP(c_Complete__Lattice_OInf__class_OInf(X0),hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_All(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool),X0),hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_implies),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))),hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)))))) = hAPP(c_Complete__Lattice_OSup__class_OSup(X0),X1)
% 172.85/173.06 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1581]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7016,plain,
% 172.85/173.06 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.85/173.06 | hAPP(c_Complete__Lattice_OInf__class_OInf(X0),hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_All(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool),X0),hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_implies),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))),hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)))))) = hAPP(c_Complete__Lattice_OSup__class_OSup(X0),X1) ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_7015]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1579,plain,
% 172.85/173.06 ( hAPP(c_Complete__Lattice_OSup__class_OSup(X0),hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_All(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool),X0),hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_implies),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))),c_lessequals(X0))))) = hAPP(c_Complete__Lattice_OInf__class_OInf(X0),X1)
% 172.85/173.06 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3241_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7011,plain,
% 172.85/173.06 ( hAPP(c_Complete__Lattice_OSup__class_OSup(X0),hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_All(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool),X0),hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_implies),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))),c_lessequals(X0))))) = hAPP(c_Complete__Lattice_OInf__class_OInf(X0),X1)
% 172.85/173.06 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1579]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7012,plain,
% 172.85/173.06 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.85/173.06 | hAPP(c_Complete__Lattice_OSup__class_OSup(X0),hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_bool,X0),c_All(X0)),hAPP(hAPP(c_COMBB(tc_fun(X0,tc_bool),tc_fun(X0,tc_bool),X0),hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_implies),hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1)))),c_lessequals(X0))))) = hAPP(c_Complete__Lattice_OInf__class_OInf(X0),X1) ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_7011]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1573,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X2
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X5,X0,hAPP(hAPP(X0,X1),X2),X6,X7) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3246_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6999,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X2
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X5,X0,hAPP(hAPP(X0,X1),X2),X6,X7) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1573]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_7000,plain,
% 172.85/173.06 ( ~ c_Lattices_Obounded__lattice(X0,X1,X2,X3,hAPP(hAPP(X3,X4),X5),X6,X7)
% 172.85/173.06 | hAPP(hAPP(X3,X4),X5) = X5 ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_6999]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1571,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X1
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X5,X0,hAPP(hAPP(X0,X1),X2),X6,X7) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3247_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6995,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X1
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X5,X0,hAPP(hAPP(X0,X1),X2),X6,X7) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1571]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6996,plain,
% 172.85/173.06 ( ~ c_Lattices_Obounded__lattice(X0,X1,X2,X3,hAPP(hAPP(X3,X4),X5),X6,X7)
% 172.85/173.06 | hAPP(hAPP(X3,X4),X5) = X4 ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_6995]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1569,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X2
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X0,X5,X6,hAPP(hAPP(X0,X1),X2),X7) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3248_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6991,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X2
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X0,X5,X6,hAPP(hAPP(X0,X1),X2),X7) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1569]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6992,plain,
% 172.85/173.06 ( ~ c_Lattices_Obounded__lattice(X0,X1,X2,X3,X4,hAPP(hAPP(X2,X5),X6),X7)
% 172.85/173.06 | hAPP(hAPP(X2,X5),X6) = X6 ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_6991]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1567,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X1
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X0,X5,X6,hAPP(hAPP(X0,X1),X2),X7) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3249_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6987,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X1
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X0,X5,X6,hAPP(hAPP(X0,X1),X2),X7) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1567]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6988,plain,
% 172.85/173.06 ( ~ c_Lattices_Obounded__lattice(X0,X1,X2,X3,X4,hAPP(hAPP(X2,X5),X6),X7)
% 172.85/173.06 | hAPP(hAPP(X2,X5),X6) = X5 ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_6987]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1565,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X2
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X5,X0,X6,X2,X7) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3250_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6983,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X2
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X5,X0,X6,X2,X7) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1565]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6984,plain,
% 172.85/173.06 ( ~ c_Lattices_Obounded__lattice(X0,X1,X2,X3,X4,X5,X6)
% 172.85/173.06 | hAPP(hAPP(X3,X7),X5) = X5 ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_6983]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1563,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X1
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X5,X0,X2,X6,X7) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3251_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6979,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X1
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X5,X0,X2,X6,X7) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1563]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6980,plain,
% 172.85/173.06 ( ~ c_Lattices_Obounded__lattice(X0,X1,X2,X3,X4,X5,X6)
% 172.85/173.06 | hAPP(hAPP(X3,X7),X4) = X7 ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_6979]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1561,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X1
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X0,X5,X6,X2,X7) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3252_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6975,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X1
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X0,X5,X6,X2,X7) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1561]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6976,plain,
% 172.85/173.06 ( ~ c_Lattices_Obounded__lattice(X0,X1,X2,X3,X4,X5,X6)
% 172.85/173.06 | hAPP(hAPP(X2,X7),X5) = X7 ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_6975]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1559,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X2
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X0,X5,X2,X6,X7) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3253_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6971,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X2
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X0,X5,X2,X6,X7) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1559]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6972,plain,
% 172.85/173.06 ( ~ c_Lattices_Obounded__lattice(X0,X1,X2,X3,X4,X5,X6)
% 172.85/173.06 | hAPP(hAPP(X2,X7),X4) = X4 ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_6971]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1557,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X1
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X5,X0,X6,X1,X7) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3254_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6967,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X1
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X5,X0,X6,X1,X7) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1557]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6968,plain,
% 172.85/173.06 ( ~ c_Lattices_Obounded__lattice(X0,X1,X2,X3,X4,X5,X6)
% 172.85/173.06 | hAPP(hAPP(X3,X5),X7) = X5 ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_6967]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1555,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X2
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X5,X0,X1,X6,X7) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3255_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6963,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X2
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X5,X0,X1,X6,X7) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1555]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6964,plain,
% 172.85/173.06 ( ~ c_Lattices_Obounded__lattice(X0,X1,X2,X3,X4,X5,X6)
% 172.85/173.06 | hAPP(hAPP(X3,X4),X7) = X7 ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_6963]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1553,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X2
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X0,X5,X6,X1,X7) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3256_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6959,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X2
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X0,X5,X6,X1,X7) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1553]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6960,plain,
% 172.85/173.06 ( ~ c_Lattices_Obounded__lattice(X0,X1,X2,X3,X4,X5,X6)
% 172.85/173.06 | hAPP(hAPP(X2,X5),X7) = X7 ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_6959]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1551,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X1
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X0,X5,X1,X6,X7) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3257_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6955,plain,
% 172.85/173.06 ( hAPP(hAPP(X0,X1),X2) = X1
% 172.85/173.06 | ~ c_Lattices_Obounded__lattice(X3,X4,X0,X5,X1,X6,X7) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1551]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6956,plain,
% 172.85/173.06 ( ~ c_Lattices_Obounded__lattice(X0,X1,X2,X3,X4,X5,X6)
% 172.85/173.06 | hAPP(hAPP(X2,X4),X7) = X4 ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_6955]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1548,plain,
% 172.85/173.06 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X0),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X0),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X2))),X3))),X0)
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X1),X2),X1)
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBC(X0,X1,tc_bool),X3),c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1(X2,X3,X1,X0))),X0) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3260_2) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6949,plain,
% 172.85/173.06 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X0),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X0),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X2))),X3))),X0)
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X1),X2),X1)
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBC(X0,X1,tc_bool),X3),c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1(X2,X3,X1,X0))),X0) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1548]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6950,plain,
% 172.85/173.06 ( ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBC(X0,X1,tc_bool),X2),c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1(X3,X2,X1,X0))),X0)
% 172.85/173.06 | c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_bool,X0),c_Ex(X1)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X0),hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_and),X3))),X2))),X0)
% 172.85/173.06 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X1),X3),X1) ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_6949]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1546,plain,
% 172.85/173.06 ( c_The(hAPP(hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_and),v_P)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),t_a),hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies),v_P))),c_lessequals(t_a)))),t_a) = c_Orderings_Oord__class_OLeast(v_P,t_a)
% 172.85/173.06 | ~ class_HOL_Oord(t_a) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3262_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6945,plain,
% 172.85/173.06 ( c_The(hAPP(hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_and),v_P)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),t_a),hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies),v_P))),c_lessequals(t_a)))),t_a) = c_Orderings_Oord__class_OLeast(v_P,t_a)
% 172.85/173.06 | ~ class_HOL_Oord(t_a) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1546]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6946,plain,
% 172.85/173.06 ( ~ class_HOL_Oord(t_a)
% 172.85/173.06 | c_The(hAPP(hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_and),v_P)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_bool,t_a),c_All(t_a)),hAPP(hAPP(c_COMBB(tc_fun(t_a,tc_bool),tc_fun(t_a,tc_bool),t_a),hAPP(c_COMBS(t_a,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),t_a),c_implies),v_P))),c_lessequals(t_a)))),t_a) = c_Orderings_Oord__class_OLeast(v_P,t_a) ),
% 172.85/173.06 inference(rewriting,[status(thm)],[c_6945]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_1544,plain,
% 172.85/173.06 ( c_Lattices_Obounded__lattice(hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)),hAPP(c_COMBC(X0,X0,tc_bool),c_HOL_Oord__class_Oless(X0)),c_Lattices_Oupper__semilattice__class_Osup(X0),c_Lattices_Olower__semilattice__class_Oinf(X0),c_Orderings_Otop__class_Otop(X0),c_Orderings_Obot__class_Obot(X0),X0)
% 172.85/173.06 | ~ class_Lattices_Obounded__lattice(X0) ),
% 172.85/173.06 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3263_1) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6941,plain,
% 172.85/173.06 ( c_Lattices_Obounded__lattice(hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)),hAPP(c_COMBC(X0,X0,tc_bool),c_HOL_Oord__class_Oless(X0)),c_Lattices_Oupper__semilattice__class_Osup(X0),c_Lattices_Olower__semilattice__class_Oinf(X0),c_Orderings_Otop__class_Otop(X0),c_Orderings_Obot__class_Obot(X0),X0)
% 172.85/173.06 | ~ class_Lattices_Obounded__lattice(X0) ),
% 172.85/173.06 inference(copy,[status(esa)],[c_1544]) ).
% 172.85/173.06
% 172.85/173.06 cnf(c_6942,plain,
% 172.85/173.06 ( ~ class_Lattices_Obounded__lattice(X0)
% 172.85/173.06 | c_Lattices_Obounded__lattice(hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)),hAPP(c_COMBC(X0,X0,tc_bool),c_HOL_Oord__class_Oless(X0)),c_Lattices_Oupper__semilattice__class_Osup(X0),c_Lattices_Olower__semilattice__class_Oinf(X0),c_Orderings_Otop__class_Otop(X0),c_Orderings_Obot__class_Obot(X0),X0) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6941]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1541,plain,
% 172.85/173.07 ( hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1(X0,X1,X2,X3)))
% 172.85/173.07 | c_Finite__Set_Ofinite(hAPP(c_Collect(X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X3),c_Ex(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X3),hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),X0))),X1))),X3)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X2),X0),X2) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3264_2) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6935,plain,
% 172.85/173.07 ( hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Finite__Set__Xfinite__Collect__bounded__ex__1__1(X0,X1,X2,X3)))
% 172.85/173.07 | c_Finite__Set_Ofinite(hAPP(c_Collect(X3),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_bool,X3),c_Ex(X2)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X3),hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),X0))),X1))),X3)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X2),X0),X2) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1541]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1539,plain,
% 172.85/173.07 ( hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),hAPP(hAPP(c_COMBC(X0,tc_fun(X2,tc_bool),X1),hAPP(hAPP(c_COMBB(tc_fun(X2,X1),tc_fun(tc_fun(X2,tc_bool),X1),X0),c_Finite__Set_Osetsum(X2,X1)),hAPP(c_COMBC(X2,X0,X1),X3))),X4)),X5) = hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),hAPP(hAPP(c_COMBC(X2,tc_fun(X0,tc_bool),X1),hAPP(hAPP(c_COMBB(tc_fun(X0,X1),tc_fun(tc_fun(X0,tc_bool),X1),X2),c_Finite__Set_Osetsum(X0,X1)),X3)),X5)),X4)
% 172.85/173.07 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3267_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6931,plain,
% 172.85/173.07 ( hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),hAPP(hAPP(c_COMBC(X0,tc_fun(X2,tc_bool),X1),hAPP(hAPP(c_COMBB(tc_fun(X2,X1),tc_fun(tc_fun(X2,tc_bool),X1),X0),c_Finite__Set_Osetsum(X2,X1)),hAPP(c_COMBC(X2,X0,X1),X3))),X4)),X5) = hAPP(hAPP(c_Finite__Set_Osetsum(X2,X1),hAPP(hAPP(c_COMBC(X2,tc_fun(X0,tc_bool),X1),hAPP(hAPP(c_COMBB(tc_fun(X0,X1),tc_fun(tc_fun(X0,tc_bool),X1),X2),c_Finite__Set_Osetsum(X0,X1)),X3)),X5)),X4)
% 172.85/173.07 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1539]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6932,plain,
% 172.85/173.07 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 172.85/173.07 | hAPP(hAPP(c_Finite__Set_Osetsum(X1,X0),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),X0),hAPP(hAPP(c_COMBB(tc_fun(X2,X0),tc_fun(tc_fun(X2,tc_bool),X0),X1),c_Finite__Set_Osetsum(X2,X0)),hAPP(c_COMBC(X2,X1,X0),X3))),X4)),X5) = hAPP(hAPP(c_Finite__Set_Osetsum(X2,X0),hAPP(hAPP(c_COMBC(X2,tc_fun(X1,tc_bool),X0),hAPP(hAPP(c_COMBB(tc_fun(X1,X0),tc_fun(tc_fun(X1,tc_bool),X0),X2),c_Finite__Set_Osetsum(X1,X0)),X3)),X5)),X4) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6931]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1536,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_bool),X3),hAPP(hAPP(c_COMBB(X3,tc_fun(tc_fun(X3,tc_bool),X3),X2),c_FunDef_OTHE__default(X3)),X4)),X0),X1)))
% 172.85/173.07 | hBOOL(hAPP(hAPP(X0,X1),c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1(X0,X1,X5,X2,X3)))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(X0,X1),X5)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3268_2) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6925,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_bool),X3),hAPP(hAPP(c_COMBB(X3,tc_fun(tc_fun(X3,tc_bool),X3),X2),c_FunDef_OTHE__default(X3)),X4)),X0),X1)))
% 172.85/173.07 | hBOOL(hAPP(hAPP(X0,X1),c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1(X0,X1,X5,X2,X3)))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(X0,X1),X5)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1536]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1530,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_bool),X3),hAPP(hAPP(c_COMBB(X3,tc_fun(tc_fun(X3,tc_bool),X3),X2),c_FunDef_OTHE__default(X3)),X4)),X0),X1)))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(X0,X1),X5))
% 172.85/173.07 | c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1(X0,X1,X5,X2,X3) != X5 ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3270_2) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6913,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_bool),X3),hAPP(hAPP(c_COMBB(X3,tc_fun(tc_fun(X3,tc_bool),X3),X2),c_FunDef_OTHE__default(X3)),X4)),X0),X1)))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(X0,X1),X5))
% 172.85/173.07 | c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__iff__1__1(X0,X1,X5,X2,X3) != X5 ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1530]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1527,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_bool),X3),hAPP(hAPP(c_COMBB(X3,tc_fun(tc_fun(X3,tc_bool),X3),X2),c_FunDef_OTHE__default(X3)),X4)),X0),X1)))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(X0,X1),X5))
% 172.85/173.07 | c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__existence__1__1(X0,X1,X5,X2,X3) != X5 ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3271_2) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6907,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(X0,X1),hAPP(hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_bool),X3),hAPP(hAPP(c_COMBB(X3,tc_fun(tc_fun(X3,tc_bool),X3),X2),c_FunDef_OTHE__default(X3)),X4)),X0),X1)))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(X0,X1),X5))
% 172.85/173.07 | c_ATP__Linkup_Osko__FunDef__Xfundef__ex1__existence__1__1(X0,X1,X5,X2,X3) != X5 ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1527]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1525,plain,
% 172.85/173.07 ( hAPP(X0,c_List_Ofoldl(hAPP(hAPP(c_COMBB(tc_fun(X1,X2),tc_fun(X1,X3),X3),hAPP(c_COMBB(X2,X3,X1),X4)),hAPP(hAPP(c_COMBB(X2,tc_fun(X1,X2),X3),X5),X0)),X6,X7,X3,X1)) = c_List_Ofoldl(X5,hAPP(X0,X6),X7,X2,X1)
% 172.85/173.07 | hAPP(X0,hAPP(X4,c_List_Osko__List__Xfoldl__apply__inv__1__1(X0,X4,X3,X2))) != c_List_Osko__List__Xfoldl__apply__inv__1__1(X0,X4,X3,X2) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3280_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6903,plain,
% 172.85/173.07 ( hAPP(X0,c_List_Ofoldl(hAPP(hAPP(c_COMBB(tc_fun(X1,X2),tc_fun(X1,X3),X3),hAPP(c_COMBB(X2,X3,X1),X4)),hAPP(hAPP(c_COMBB(X2,tc_fun(X1,X2),X3),X5),X0)),X6,X7,X3,X1)) = c_List_Ofoldl(X5,hAPP(X0,X6),X7,X2,X1)
% 172.85/173.07 | hAPP(X0,hAPP(X4,c_List_Osko__List__Xfoldl__apply__inv__1__1(X0,X4,X3,X2))) != c_List_Osko__List__Xfoldl__apply__inv__1__1(X0,X4,X3,X2) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1525]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6904,plain,
% 172.85/173.07 ( hAPP(X0,hAPP(X1,c_List_Osko__List__Xfoldl__apply__inv__1__1(X0,X1,X2,X3))) != c_List_Osko__List__Xfoldl__apply__inv__1__1(X0,X1,X2,X3)
% 172.85/173.07 | hAPP(X0,c_List_Ofoldl(hAPP(hAPP(c_COMBB(tc_fun(X4,X3),tc_fun(X4,X2),X2),hAPP(c_COMBB(X3,X2,X4),X1)),hAPP(hAPP(c_COMBB(X3,tc_fun(X4,X3),X2),X5),X0)),X6,X7,X2,X4)) = c_List_Ofoldl(X5,hAPP(X0,X6),X7,X3,X4) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6903]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1515,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_HOL_Oinduct__conj,c_HOL_Oinduct__forall(X0,X1)),c_HOL_Oinduct__forall(X2,X1)))
% 172.85/173.07 | ~ hBOOL(c_HOL_Oinduct__forall(hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_HOL_Oinduct__conj),X0)),X2),X1)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3286_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6883,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_HOL_Oinduct__conj,c_HOL_Oinduct__forall(X0,X1)),c_HOL_Oinduct__forall(X2,X1)))
% 172.85/173.07 | ~ hBOOL(c_HOL_Oinduct__forall(hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_HOL_Oinduct__conj),X0)),X2),X1)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1515]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1513,plain,
% 172.85/173.07 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X1),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_or),X1)),X2)),X0) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3287_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6879,plain,
% 172.85/173.07 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X1),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_or),X1)),X2)),X0) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1513]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6880,plain,
% 172.85/173.07 ( ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_or),X1)),X2)),X0)
% 172.85/173.07 | c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X1),X0) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6879]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1511,plain,
% 172.85/173.07 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X1),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_or),X2)),X1)),X0) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3288_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6875,plain,
% 172.85/173.07 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X1),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_or),X2)),X1)),X0) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1511]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6876,plain,
% 172.85/173.07 ( ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_or),X1)),X2)),X0)
% 172.85/173.07 | c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X2),X0) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6875]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1507,plain,
% 172.85/173.07 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.07 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X0),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool))),X3)),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X0),X3)),X4) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3292_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6867,plain,
% 172.85/173.07 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.07 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X0),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool))),X3)),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X0),X3)),X4) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1507]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6868,plain,
% 172.85/173.07 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X0,tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_COMBC(X0,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X0),c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool))),X3)),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X0,tc_fun(X1,tc_bool)),X2),X3)),X4)
% 172.85/173.07 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6867]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1503,plain,
% 172.85/173.07 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.07 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X0),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool))),X3)),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X0),X3)),X4) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3294_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6859,plain,
% 172.85/173.07 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.07 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X0),hAPP(hAPP(c_COMBC(X1,tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool)),X1),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool))),X3)),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X0),X3)),X4) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1503]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6860,plain,
% 172.85/173.07 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X0,tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_COMBC(X0,tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool)),X0),c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool))),X3)),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X0,tc_fun(X1,tc_bool)),X2),X3)),X4)
% 172.85/173.07 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6859]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1501,plain,
% 172.85/173.07 ( hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),hAPP(hAPP(c_COMBC(X0,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X0),c_HOL_Otimes__class_Otimes(X1)),X2)),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),X2),X4)),X3)
% 172.85/173.07 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3304_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6855,plain,
% 172.85/173.07 ( hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),hAPP(hAPP(c_COMBC(X0,X1,X1),hAPP(hAPP(c_COMBB(X1,tc_fun(X1,X1),X0),c_HOL_Otimes__class_Otimes(X1)),X2)),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),X2),X4)),X3)
% 172.85/173.07 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1501]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6856,plain,
% 172.85/173.07 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 172.85/173.07 | hAPP(hAPP(c_Finite__Set_Osetsum(X1,X0),hAPP(hAPP(c_COMBC(X1,X0,X0),hAPP(hAPP(c_COMBB(X0,tc_fun(X0,X0),X1),c_HOL_Otimes__class_Otimes(X0)),X2)),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X0),X2),X4)),X3) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6855]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1499,plain,
% 172.85/173.07 ( hAPP(c_Collect(X0),hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),hAPP(hAPP(c_COMBC(X0,X0,tc_bool),c_fequal(X0)),X1))),X2)) = hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))
% 172.85/173.07 | ~ hBOOL(hAPP(X2,X1)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3305_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6851,plain,
% 172.85/173.07 ( hAPP(c_Collect(X0),hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),hAPP(hAPP(c_COMBC(X0,X0,tc_bool),c_fequal(X0)),X1))),X2)) = hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))
% 172.85/173.07 | ~ hBOOL(hAPP(X2,X1)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1499]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6852,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(X0,X1))
% 172.85/173.07 | hAPP(c_Collect(X2),hAPP(hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),hAPP(hAPP(c_COMBC(X2,X2,tc_bool),c_fequal(X2)),X1))),X0)) = hAPP(hAPP(c_Set_Oinsert(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6851]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1493,plain,
% 172.85/173.07 ( hBOOL(hAPP(X0,X1))
% 172.85/173.07 | hAPP(c_Collect(X2),hAPP(hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),hAPP(hAPP(c_COMBC(X2,X2,tc_bool),c_fequal(X2)),X1))),X0)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3307_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6839,plain,
% 172.85/173.07 ( hBOOL(hAPP(X0,X1))
% 172.85/173.07 | hAPP(c_Collect(X2),hAPP(hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),hAPP(hAPP(c_COMBC(X2,X2,tc_bool),c_fequal(X2)),X1))),X0)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1493]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1486,plain,
% 172.85/173.07 ( hBOOL(hAPP(X0,X1))
% 172.85/173.07 | hAPP(hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_bool),X3),hAPP(hAPP(c_COMBB(X3,tc_fun(tc_fun(X3,tc_bool),X3),X2),c_FunDef_OTHE__default(X3)),X4)),X5),X1) = hAPP(X4,X1)
% 172.85/173.07 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__FunDef__Xfundef__default__value__1__1(X0,X5,X2,X3))) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3309_2) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6825,plain,
% 172.85/173.07 ( hBOOL(hAPP(X0,X1))
% 172.85/173.07 | hAPP(hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_bool),X3),hAPP(hAPP(c_COMBB(X3,tc_fun(tc_fun(X3,tc_bool),X3),X2),c_FunDef_OTHE__default(X3)),X4)),X5),X1) = hAPP(X4,X1)
% 172.85/173.07 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__FunDef__Xfundef__default__value__1__1(X0,X5,X2,X3))) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1486]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6826,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__FunDef__Xfundef__default__value__1__1(X0,X1,X2,X3)))
% 172.85/173.07 | hBOOL(hAPP(X0,X4))
% 172.85/173.07 | hAPP(hAPP(hAPP(c_COMBS(X2,tc_fun(X3,tc_bool),X3),hAPP(hAPP(c_COMBB(X3,tc_fun(tc_fun(X3,tc_bool),X3),X2),c_FunDef_OTHE__default(X3)),X5)),X1),X4) = hAPP(X5,X4) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6825]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1484,plain,
% 172.85/173.07 ( hBOOL(c_HOL_Oinduct__forall(hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_HOL_Oinduct__conj),X1)),X2),X0))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_HOL_Oinduct__conj,c_HOL_Oinduct__forall(X1,X0)),c_HOL_Oinduct__forall(X2,X0))) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3310_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6821,plain,
% 172.85/173.07 ( hBOOL(c_HOL_Oinduct__forall(hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_HOL_Oinduct__conj),X1)),X2),X0))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_HOL_Oinduct__conj,c_HOL_Oinduct__forall(X1,X0)),c_HOL_Oinduct__forall(X2,X0))) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1484]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6822,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oinduct__conj,c_HOL_Oinduct__forall(X0,X1)),c_HOL_Oinduct__forall(X2,X1)))
% 172.85/173.07 | hBOOL(c_HOL_Oinduct__forall(hAPP(hAPP(c_COMBS(X1,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X1),c_HOL_Oinduct__conj),X0)),X2),X1)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6821]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1481,plain,
% 172.85/173.07 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_or),X1)),X2)),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X1),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X2),X0) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3311_2) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6815,plain,
% 172.85/173.07 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_or),X1)),X2)),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X1),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X2),X0) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1481]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1479,plain,
% 172.85/173.07 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),X1)),X2)),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X1),X0) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3312_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6811,plain,
% 172.85/173.07 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),X1)),X2)),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X1),X0) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1479]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1477,plain,
% 172.85/173.07 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),X1)),X2)),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X2),X0) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3313_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6807,plain,
% 172.85/173.07 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),X1)),X2)),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X2),X0) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1477]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1475,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_fun(X4,tc_bool))),X0),X5),X1),X2)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3320_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6803,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_fun(X4,tc_bool))),X0),X5),X1),X2)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1475]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6804,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_fun(X1,tc_bool))),X2),X3),X4),X5))
% 172.85/173.07 | hBOOL(hAPP(hAPP(X2,X4),X5)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6803]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1473,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_fun(X4,tc_bool))),X5),X0),X1),X2)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3321_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6799,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_fun(X4,tc_bool))),X5),X0),X1),X2)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1473]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6800,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_fun(X1,tc_bool))),X2),X3),X4),X5))
% 172.85/173.07 | hBOOL(hAPP(hAPP(X3,X4),X5)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6799]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1467,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X1),X2)),X3))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X4),X1)),X3))
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X4),X2)),X3))
% 172.85/173.07 | ~ hBOOL(c_Relation_Otrans(X3,X0)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3323_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6787,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X1),X2)),X3))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X4),X1)),X3))
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X4),X2)),X3))
% 172.85/173.07 | ~ hBOOL(c_Relation_Otrans(X3,X0)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1467]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1448,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3))))
% 172.85/173.07 | ~ class_Lattices_Olattice(X0) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3329_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6749,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3))))
% 172.85/173.07 | ~ class_Lattices_Olattice(X0) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1448]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6750,plain,
% 172.85/173.07 ( ~ class_Lattices_Olattice(X0)
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)))) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6749]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1446,plain,
% 172.85/173.07 ( c_Lattices_Odistrib__lattice(hAPP(c_COMBC(X0,X0,tc_bool),X1),hAPP(c_COMBC(X0,X0,tc_bool),X2),X3,X4,X0)
% 172.85/173.07 | ~ c_Lattices_Odistrib__lattice(X1,X2,X4,X3,X0) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3330_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6745,plain,
% 172.85/173.07 ( c_Lattices_Odistrib__lattice(hAPP(c_COMBC(X0,X0,tc_bool),X1),hAPP(c_COMBC(X0,X0,tc_bool),X2),X3,X4,X0)
% 172.85/173.07 | ~ c_Lattices_Odistrib__lattice(X1,X2,X4,X3,X0) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1446]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1444,plain,
% 172.85/173.07 ( hAPP(c_Collect(X0),hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),hAPP(c_fequal(X0),X1))),X2)) = hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))
% 172.85/173.07 | ~ hBOOL(hAPP(X2,X1)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3331_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6741,plain,
% 172.85/173.07 ( hAPP(c_Collect(X0),hAPP(hAPP(c_COMBS(X0,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X0),c_and),hAPP(c_fequal(X0),X1))),X2)) = hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))
% 172.85/173.07 | ~ hBOOL(hAPP(X2,X1)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1444]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6742,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(X0,X1))
% 172.85/173.07 | hAPP(c_Collect(X2),hAPP(hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),hAPP(c_fequal(X2),X1))),X0)) = hAPP(hAPP(c_Set_Oinsert(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6741]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1441,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X1)),hAPP(hAPP(c_Pair(X0,X1),X2),X3)),X4))
% 172.85/173.07 | X5 = X3
% 172.85/173.07 | ~ hBOOL(c_Relation_Osingle__valued(X4,X0,X1))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X1)),hAPP(hAPP(c_Pair(X0,X1),X2),X5)),X4)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3332_2) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6735,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X1)),hAPP(hAPP(c_Pair(X0,X1),X2),X3)),X4))
% 172.85/173.07 | X5 = X3
% 172.85/173.07 | ~ hBOOL(c_Relation_Osingle__valued(X4,X0,X1))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X1)),hAPP(hAPP(c_Pair(X0,X1),X2),X5)),X4)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1441]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6736,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X1)),hAPP(hAPP(c_Pair(X0,X1),X2),X3)),X4))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X1)),hAPP(hAPP(c_Pair(X0,X1),X2),X5)),X4))
% 172.85/173.07 | ~ hBOOL(c_Relation_Osingle__valued(X4,X0,X1))
% 172.85/173.07 | X5 = X3 ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6735]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1438,plain,
% 172.85/173.07 ( hBOOL(hAPP(X0,X1))
% 172.85/173.07 | hAPP(c_Collect(X2),hAPP(hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),hAPP(c_fequal(X2),X1))),X0)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3333_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6729,plain,
% 172.85/173.07 ( hBOOL(hAPP(X0,X1))
% 172.85/173.07 | hAPP(c_Collect(X2),hAPP(hAPP(c_COMBS(X2,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),X2),c_and),hAPP(c_fequal(X2),X1))),X0)) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1438]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1436,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(X2,X3)))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X0)),hAPP(hAPP(c_Pair(X4,X0),X3),X1)),c_Product__Type_OSigma(X5,X2,X4,X0))) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3335_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6725,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(X2,X3)))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X4,X0)),hAPP(hAPP(c_Pair(X4,X0),X3),X1)),c_Product__Type_OSigma(X5,X2,X4,X0))) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1436]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6726,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X1)),hAPP(hAPP(c_Pair(X0,X1),X2),X3)),c_Product__Type_OSigma(X4,X5,X0,X1)))
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_in(X1),X3),hAPP(X5,X2))) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6725]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1434,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X3)),hAPP(hAPP(c_Pair(X0,X3),X1),X4)),c_Product__Type_OSigma(X2,X5,X0,X3))) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3338_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6721,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X3)),hAPP(hAPP(c_Pair(X0,X3),X1),X4)),c_Product__Type_OSigma(X2,X5,X0,X3))) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1434]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6722,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X1)),hAPP(hAPP(c_Pair(X0,X1),X2),X3)),c_Product__Type_OSigma(X4,X5,X0,X1)))
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_in(X0),X2),X4)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6721]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1431,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_fun(X1,tc_bool))),X2),X3),X4),X5))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(X2,X4),X5))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(X3,X4),X5)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3340_2) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6715,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_fun(X1,tc_bool))),X2),X3),X4),X5))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(X2,X4),X5))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(X3,X4),X5)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1431]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1429,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X3))))
% 172.85/173.07 | ~ class_Lattices_Olattice(X0) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3342_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6711,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X3))))
% 172.85/173.07 | ~ class_Lattices_Olattice(X0) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1429]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6712,plain,
% 172.85/173.07 ( ~ class_Lattices_Olattice(X0)
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X3)))) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6711]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1421,plain,
% 172.85/173.07 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 172.85/173.07 | ~ c_Lattices_Odistrib__lattice(X5,X6,X0,X1,X7) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3346_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6695,plain,
% 172.85/173.07 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 172.85/173.07 | ~ c_Lattices_Odistrib__lattice(X5,X6,X0,X1,X7) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1421]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6696,plain,
% 172.85/173.07 ( ~ c_Lattices_Odistrib__lattice(X0,X1,X2,X3,X4)
% 172.85/173.07 | hAPP(hAPP(X2,hAPP(hAPP(X3,X5),X6)),hAPP(hAPP(X3,X7),X6)) = hAPP(hAPP(X3,hAPP(hAPP(X2,X5),X7)),X6) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6695]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1419,plain,
% 172.85/173.07 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 172.85/173.07 | ~ c_Lattices_Odistrib__lattice(X5,X6,X1,X0,X7) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3347_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6691,plain,
% 172.85/173.07 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 172.85/173.07 | ~ c_Lattices_Odistrib__lattice(X5,X6,X1,X0,X7) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1419]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6692,plain,
% 172.85/173.07 ( ~ c_Lattices_Odistrib__lattice(X0,X1,X2,X3,X4)
% 172.85/173.07 | hAPP(hAPP(X3,hAPP(hAPP(X2,X5),X6)),hAPP(hAPP(X2,X7),X6)) = hAPP(hAPP(X2,hAPP(hAPP(X3,X5),X7)),X6) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6691]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1417,plain,
% 172.85/173.07 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 172.85/173.07 | ~ c_Lattices_Odistrib__lattice(X5,X6,X0,X1,X7) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3349_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6687,plain,
% 172.85/173.07 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 172.85/173.07 | ~ c_Lattices_Odistrib__lattice(X5,X6,X0,X1,X7) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1417]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6688,plain,
% 172.85/173.07 ( ~ c_Lattices_Odistrib__lattice(X0,X1,X2,X3,X4)
% 172.85/173.07 | hAPP(hAPP(X2,hAPP(hAPP(X3,X5),X6)),hAPP(hAPP(X3,X5),X7)) = hAPP(hAPP(X3,X5),hAPP(hAPP(X2,X6),X7)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6687]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1415,plain,
% 172.85/173.07 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 172.85/173.07 | ~ c_Lattices_Odistrib__lattice(X5,X6,X1,X0,X7) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3350_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6683,plain,
% 172.85/173.07 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 172.85/173.07 | ~ c_Lattices_Odistrib__lattice(X5,X6,X1,X0,X7) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1415]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6684,plain,
% 172.85/173.07 ( ~ c_Lattices_Odistrib__lattice(X0,X1,X2,X3,X4)
% 172.85/173.07 | hAPP(hAPP(X3,hAPP(hAPP(X2,X5),X6)),hAPP(hAPP(X2,X5),X7)) = hAPP(hAPP(X2,X5),hAPP(hAPP(X3,X6),X7)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6683]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1410,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.07 | ~ hBOOL(hAPP(c_split(X0,X3,X4,tc_bool),hAPP(hAPP(c_Pair(X3,X4),X1),X2))) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3352_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6673,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.07 | ~ hBOOL(hAPP(c_split(X0,X3,X4,tc_bool),hAPP(hAPP(c_Pair(X3,X4),X1),X2))) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1410]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1408,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X1),X2)),c_Lambda_Olift(X3,X1)),X4))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),X4)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3353_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6669,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),X0),X1),X2)),c_Lambda_Olift(X3,X1)),X4))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),X4)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1408]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1404,plain,
% 172.85/173.07 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.07 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X0),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3)),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X0),X4)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3355_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6661,plain,
% 172.85/173.07 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.07 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X0),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3)),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X0),X4)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1404]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6662,plain,
% 172.85/173.07 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X0,tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X0),hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3)),X4)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X0,tc_fun(X1,tc_bool)),X2),X4))
% 172.85/173.07 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6661]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1400,plain,
% 172.85/173.07 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.07 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X0),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3)),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X0),X4)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3357_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6653,plain,
% 172.85/173.07 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.07 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X0),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3)),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X0),X4)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1400]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6654,plain,
% 172.85/173.07 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X0,tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X0),hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3)),X4)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),X3),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X0,tc_fun(X1,tc_bool)),X2),X4))
% 172.85/173.07 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6653]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1396,plain,
% 172.85/173.07 ( hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(X0,X1),X2),X3),X4),X5) = hAPP(X2,X5)
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X5),X4)),X3)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3365_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6645,plain,
% 172.85/173.07 ( hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(X0,X1),X2),X3),X4),X5) = hAPP(X2,X5)
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X5),X4)),X3)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1396]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6646,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(c_in(tc_prod(X0,X0)),hAPP(hAPP(c_Pair(X0,X0),X1),X2)),X3))
% 172.85/173.07 | hAPP(hAPP(hAPP(hAPP(c_Recdef_Ocut(X0,X4),X5),X3),X2),X1) = hAPP(X5,X1) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6645]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1394,plain,
% 172.85/173.07 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X0,tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X0),hAPP(c_Set_Oinsert(X1),X3)),X4)) = hAPP(hAPP(c_Set_Oinsert(X1),X3),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X0,tc_fun(X1,tc_bool)),X2),X4))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X0),X5),X2)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3370_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6641,plain,
% 172.85/173.07 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X0,tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X0),hAPP(c_Set_Oinsert(X1),X3)),X4)) = hAPP(hAPP(c_Set_Oinsert(X1),X3),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X0,tc_fun(X1,tc_bool)),X2),X4))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X0),X5),X2)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1394]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6642,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.07 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X0,tc_fun(X3,tc_bool)),X2),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X0),hAPP(c_Set_Oinsert(X3),X4)),X5)) = hAPP(hAPP(c_Set_Oinsert(X3),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X0,tc_fun(X3,tc_bool)),X2),X5)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6641]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1392,plain,
% 172.85/173.07 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X0,tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X0),hAPP(c_Set_Oinsert(X1),X3)),X4)) = hAPP(hAPP(c_Set_Oinsert(X1),X3),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X0,tc_fun(X1,tc_bool)),X2),X4))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X0),X5),X2)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3371_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6637,plain,
% 172.85/173.07 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X0,tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X0),hAPP(c_Set_Oinsert(X1),X3)),X4)) = hAPP(hAPP(c_Set_Oinsert(X1),X3),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X0,tc_fun(X1,tc_bool)),X2),X4))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X0),X5),X2)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1392]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6638,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.07 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X0,tc_fun(X3,tc_bool)),X2),hAPP(hAPP(c_COMBB(tc_fun(X3,tc_bool),tc_fun(X3,tc_bool),X0),hAPP(c_Set_Oinsert(X3),X4)),X5)) = hAPP(hAPP(c_Set_Oinsert(X3),X4),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X0,tc_fun(X3,tc_bool)),X2),X5)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6637]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1389,plain,
% 172.85/173.07 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(X2,X3)),hAPP(X2,X4))),hAPP(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X3),X4))))
% 172.85/173.07 | ~ hBOOL(c_Orderings_Oorder__class_Omono(X2,X0,X1))
% 172.85/173.07 | ~ class_Lattices_Oupper__semilattice(X1) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3372_2) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6631,plain,
% 172.85/173.07 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(X2,X3)),hAPP(X2,X4))),hAPP(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X3),X4))))
% 172.85/173.07 | ~ hBOOL(c_Orderings_Oorder__class_Omono(X2,X0,X1))
% 172.85/173.07 | ~ class_Lattices_Oupper__semilattice(X1) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1389]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6632,plain,
% 172.85/173.07 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.85/173.07 | ~ class_Lattices_Oupper__semilattice(X1)
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),hAPP(X2,X3)),hAPP(X2,X4))),hAPP(X2,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X3),X4))))
% 172.85/173.07 | ~ hBOOL(c_Orderings_Oorder__class_Omono(X2,X0,X1)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6631]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1385,plain,
% 172.85/173.07 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X3),X4))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(X2,X3)),hAPP(X2,X4))))
% 172.85/173.07 | ~ hBOOL(c_Orderings_Oorder__class_Omono(X2,X0,X1))
% 172.85/173.07 | ~ class_Lattices_Olower__semilattice(X1) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3373_2) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6623,plain,
% 172.85/173.07 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X3),X4))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(X2,X3)),hAPP(X2,X4))))
% 172.85/173.07 | ~ hBOOL(c_Orderings_Oorder__class_Omono(X2,X0,X1))
% 172.85/173.07 | ~ class_Lattices_Olower__semilattice(X1) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1385]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6624,plain,
% 172.85/173.07 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.85/173.07 | ~ class_Lattices_Olower__semilattice(X1)
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(X2,hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X3),X4))),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),hAPP(X2,X3)),hAPP(X2,X4))))
% 172.85/173.07 | ~ hBOOL(c_Orderings_Oorder__class_Omono(X2,X0,X1)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6623]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1381,plain,
% 172.85/173.07 ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X1),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X0),c_Not),X1)),X0) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3374_2) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6615,plain,
% 172.85/173.07 ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X1),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X0),c_Not),X1)),X0) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1381]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6616,plain,
% 172.85/173.07 ( ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X0),c_Not),X1)),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X1),X0)
% 172.85/173.07 | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6615]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1379,plain,
% 172.85/173.07 ( c_Lattices_Odistrib__lattice(hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)),hAPP(c_COMBC(X0,X0,tc_bool),c_HOL_Oord__class_Oless(X0)),c_Lattices_Oupper__semilattice__class_Osup(X0),c_Lattices_Olower__semilattice__class_Oinf(X0),X0)
% 172.85/173.07 | ~ class_Lattices_Odistrib__lattice(X0) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3375_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6611,plain,
% 172.85/173.07 ( c_Lattices_Odistrib__lattice(hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)),hAPP(c_COMBC(X0,X0,tc_bool),c_HOL_Oord__class_Oless(X0)),c_Lattices_Oupper__semilattice__class_Osup(X0),c_Lattices_Olower__semilattice__class_Oinf(X0),X0)
% 172.85/173.07 | ~ class_Lattices_Odistrib__lattice(X0) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1379]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6612,plain,
% 172.85/173.07 ( ~ class_Lattices_Odistrib__lattice(X0)
% 172.85/173.07 | c_Lattices_Odistrib__lattice(hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)),hAPP(c_COMBC(X0,X0,tc_bool),c_HOL_Oord__class_Oless(X0)),c_Lattices_Oupper__semilattice__class_Osup(X0),c_Lattices_Olower__semilattice__class_Oinf(X0),X0) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6611]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1375,plain,
% 172.85/173.07 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.07 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X0),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_Set_Oinsert(X2),X3)),X4)) = hAPP(hAPP(c_Set_Oinsert(X2),X3),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X0),X4)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3383_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6603,plain,
% 172.85/173.07 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.85/173.07 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X0),hAPP(hAPP(c_COMBB(tc_fun(X2,tc_bool),tc_fun(X2,tc_bool),X1),hAPP(c_Set_Oinsert(X2),X3)),X4)) = hAPP(hAPP(c_Set_Oinsert(X2),X3),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X0),X4)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1375]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6604,plain,
% 172.85/173.07 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X0,tc_fun(X1,tc_bool)),X2),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_bool),tc_fun(X1,tc_bool),X0),hAPP(c_Set_Oinsert(X1),X3)),X4)) = hAPP(hAPP(c_Set_Oinsert(X1),X3),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X0,tc_fun(X1,tc_bool)),X2),X4))
% 172.85/173.07 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6603]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1373,plain,
% 172.85/173.07 ( hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),hAPP(hAPP(c_COMBB(X1,X1,X0),hAPP(c_HOL_Otimes__class_Otimes(X1),X2)),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),X3),X4))
% 172.85/173.07 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3384_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6599,plain,
% 172.85/173.07 ( hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),hAPP(hAPP(c_COMBB(X1,X1,X0),hAPP(c_HOL_Otimes__class_Otimes(X1),X2)),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),X3),X4))
% 172.85/173.07 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1373]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6600,plain,
% 172.85/173.07 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 172.85/173.07 | hAPP(hAPP(c_Finite__Set_Osetsum(X1,X0),hAPP(hAPP(c_COMBB(X0,X0,X1),hAPP(c_HOL_Otimes__class_Otimes(X0),X2)),X3)),X4) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X0),X3),X4)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6599]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1362,plain,
% 172.85/173.07 ( hBOOL(hAPP(c_split(X0,X1,X2,tc_bool),hAPP(hAPP(c_Pair(X1,X2),X3),X4)))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X4)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3390_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6577,plain,
% 172.85/173.07 ( hBOOL(hAPP(c_split(X0,X1,X2,tc_bool),hAPP(hAPP(c_Pair(X1,X2),X3),X4)))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(X0,X3),X4)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1362]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6578,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.85/173.07 | hBOOL(hAPP(c_split(X0,X3,X4,tc_bool),hAPP(hAPP(c_Pair(X3,X4),X1),X2))) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6577]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1348,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),hAPP(c_Collect(X0),X3)))) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3397_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6549,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),hAPP(c_Collect(X0),X3)))) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1348]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6550,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),hAPP(c_Collect(X0),X3))))
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6549]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1346,plain,
% 172.85/173.07 ( hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),hAPP(hAPP(c_COMBB(X1,X1,X0),c_HOL_Ouminus__class_Ouminus(X1)),X2)),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),X2),X3))
% 172.85/173.07 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3399_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6545,plain,
% 172.85/173.07 ( hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),hAPP(hAPP(c_COMBB(X1,X1,X0),c_HOL_Ouminus__class_Ouminus(X1)),X2)),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(hAPP(c_Finite__Set_Osetsum(X0,X1),X2),X3))
% 172.85/173.07 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1346]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6546,plain,
% 172.85/173.07 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 172.85/173.07 | hAPP(hAPP(c_Finite__Set_Osetsum(X1,X0),hAPP(hAPP(c_COMBB(X0,X0,X1),c_HOL_Ouminus__class_Ouminus(X0)),X2)),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Finite__Set_Osetsum(X1,X0),X2),X3)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6545]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1336,plain,
% 172.85/173.07 ( hBOOL(hAPP(X0,X1))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X2),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),hAPP(c_Collect(X2),X0)))) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3403_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6525,plain,
% 172.85/173.07 ( hBOOL(hAPP(X0,X1))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X2),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),hAPP(c_Collect(X2),X0)))) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1336]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6526,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),hAPP(c_Collect(X0),X3))))
% 172.85/173.07 | hBOOL(hAPP(X3,X1)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6525]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1334,plain,
% 172.85/173.07 ( hAPP(hAPP(X0,hAPP(c_COMBK(X1,X1),hAPP(X2,hAPP(X3,X4)))),X4) = hAPP(hAPP(X0,X2),X4)
% 172.85/173.07 | ~ hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X0,X3,X1,X5)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3404_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6521,plain,
% 172.85/173.07 ( hAPP(hAPP(X0,hAPP(c_COMBK(X1,X1),hAPP(X2,hAPP(X3,X4)))),X4) = hAPP(hAPP(X0,X2),X4)
% 172.85/173.07 | ~ hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X0,X3,X1,X5)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1334]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6522,plain,
% 172.85/173.07 ( ~ hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X0,X1,X2,X3))
% 172.85/173.07 | hAPP(hAPP(X0,hAPP(c_COMBK(X2,X2),hAPP(X4,hAPP(X1,X5)))),X5) = hAPP(hAPP(X0,X4),X5) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6521]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1333,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X2),X3)))
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_in(X0),X1),X3))
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3407_0) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6519,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X2),X3)))
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_in(X0),X1),X3))
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1333]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1331,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_in(X0),X1),X3))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X2),X3))) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3407_2) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6515,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_in(X0),X1),X3))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X2),X3))) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1331]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6516,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X2),X3)))
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_in(X0),X1),X3)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6515]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1316,plain,
% 172.85/173.07 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X0),c_Not),X1)),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X1),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3413_2) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6485,plain,
% 172.85/173.07 ( c_Finite__Set_Ofinite(hAPP(c_Collect(X0),hAPP(hAPP(c_COMBB(tc_bool,tc_bool,X0),c_Not),X1)),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(hAPP(c_Collect(X0),X1),X0)
% 172.85/173.07 | ~ c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1316]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1314,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3))) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3415_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6481,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3))) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1314]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6482,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3)))
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6481]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1312,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X3),X2))) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3416_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6477,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X3),X2))) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1312]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6478,plain,
% 172.85/173.07 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3)))
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_in(X0),X1),X3)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6477]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1310,plain,
% 172.85/173.07 ( X0 = X1
% 172.85/173.07 | hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X0) != hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X1) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3419_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6473,plain,
% 172.85/173.07 ( X0 = X1
% 172.85/173.07 | hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X0) != hAPP(hAPP(c_COMBC(X2,tc_fun(X2,tc_bool),tc_bool),c_in(X2)),X1) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1310]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6474,plain,
% 172.85/173.07 ( hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X1) != hAPP(hAPP(c_COMBC(X0,tc_fun(X0,tc_bool),tc_bool),c_in(X0)),X2)
% 172.85/173.07 | X1 = X2 ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6473]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1307,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),X3))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X1),c_Type_Otype_OFun(X4,X3)))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X2),X4)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3420_2) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6467,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)),X3))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X1),c_Type_Otype_OFun(X4,X3)))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X2),X4)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1307]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1305,plain,
% 172.85/173.07 ( c_Fun_Oinj__on(X0,X1,X2,X3)
% 172.85/173.07 | ~ c_Fun_Oinj__on(X0,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X4),X2,X3) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3421_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6463,plain,
% 172.85/173.07 ( c_Fun_Oinj__on(X0,X1,X2,X3)
% 172.85/173.07 | ~ c_Fun_Oinj__on(X0,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X1),X4),X2,X3) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1305]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6464,plain,
% 172.85/173.07 ( ~ c_Fun_Oinj__on(X0,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1,X4)
% 172.85/173.07 | c_Fun_Oinj__on(X0,X2,X1,X4) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6463]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1303,plain,
% 172.85/173.07 ( c_Fun_Oinj__on(X0,X1,X2,X3)
% 172.85/173.07 | ~ c_Fun_Oinj__on(X0,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4),X1),X2,X3) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3422_1) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6459,plain,
% 172.85/173.07 ( c_Fun_Oinj__on(X0,X1,X2,X3)
% 172.85/173.07 | ~ c_Fun_Oinj__on(X0,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),X4),X1),X2,X3) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1303]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6460,plain,
% 172.85/173.07 ( ~ c_Fun_Oinj__on(X0,hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X3),X1,X4)
% 172.85/173.07 | c_Fun_Oinj__on(X0,X3,X1,X4) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6459]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1300,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X0),X2),X3)),hAPP(X3,X4)))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2))
% 172.85/173.07 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3423_2) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6453,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X0),X2),X3)),hAPP(X3,X4)))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2))
% 172.85/173.07 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1300]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6454,plain,
% 172.85/173.07 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.85/173.07 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X0),X2),X3)),hAPP(X3,X4)))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X1),X4),X2)) ),
% 172.85/173.07 inference(rewriting,[status(thm)],[c_6453]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1294,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X0,tc_fun(X1,tc_bool)),X2),X3),X4))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X0),X5),X2))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(X3,X5),X4)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3425_2) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6441,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X0,tc_fun(X1,tc_bool)),X2),X3),X4))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X0),X5),X2))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(X3,X5),X4)) ),
% 172.85/173.07 inference(copy,[status(esa)],[c_1294]) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_1291,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),hAPP(c_Collect(X0),X3))))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.07 | ~ hBOOL(hAPP(X3,X1)) ),
% 172.85/173.07 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3426_2) ).
% 172.85/173.07
% 172.85/173.07 cnf(c_6435,plain,
% 172.85/173.07 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),hAPP(c_Collect(X0),X3))))
% 172.85/173.07 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(X3,X1)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1291]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1288,plain,
% 172.85/173.08 ( hBOOL(c_List_Olistsp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X3,X0))
% 172.85/173.08 | ~ hBOOL(c_List_Olistsp(X1,X3,X0))
% 172.85/173.08 | ~ hBOOL(c_List_Olistsp(X2,X3,X0)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3427_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6429,plain,
% 172.85/173.08 ( hBOOL(c_List_Olistsp(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X3,X0))
% 172.85/173.08 | ~ hBOOL(c_List_Olistsp(X1,X3,X0))
% 172.85/173.08 | ~ hBOOL(c_List_Olistsp(X2,X3,X0)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1288]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1282,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X3)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3429_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6417,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X3)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1282]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1281,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),X2),X3))
% 172.85/173.08 | hBOOL(hAPP(X2,X3))
% 172.85/173.08 | hBOOL(hAPP(X1,X3)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3430_0) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6415,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),X2),X3))
% 172.85/173.08 | hBOOL(hAPP(X2,X3))
% 172.85/173.08 | hBOOL(hAPP(X1,X3)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1281]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1279,plain,
% 172.85/173.08 ( hBOOL(hAPP(X0,X1))
% 172.85/173.08 | hBOOL(hAPP(X2,X1))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X0),X2),X1)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3430_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6411,plain,
% 172.85/173.08 ( hBOOL(hAPP(X0,X1))
% 172.85/173.08 | hBOOL(hAPP(X2,X1))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),X0),X2),X1)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1279]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6412,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),X2),X3))
% 172.85/173.08 | hBOOL(hAPP(X1,X3))
% 172.85/173.08 | hBOOL(hAPP(X2,X3)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6411]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1274,plain,
% 172.85/173.08 ( hBOOL(hAPP(X0,X1))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X0),X3),X1)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3432_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6401,plain,
% 172.85/173.08 ( hBOOL(hAPP(X0,X1))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X0),X3),X1)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1274]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6402,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X3))
% 172.85/173.08 | hBOOL(hAPP(X1,X3)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6401]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1272,plain,
% 172.85/173.08 ( hBOOL(hAPP(X0,X1))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X0),X1)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3433_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6397,plain,
% 172.85/173.08 ( hBOOL(hAPP(X0,X1))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),X3),X0),X1)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1272]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6398,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X3))
% 172.85/173.08 | hBOOL(hAPP(X2,X3)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6397]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1260,plain,
% 172.85/173.08 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X4))
% 172.85/173.08 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3438_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6373,plain,
% 172.85/173.08 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X4))
% 172.85/173.08 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1260]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6374,plain,
% 172.85/173.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 172.85/173.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X4)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6373]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1251,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X3)),X2))
% 172.85/173.08 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3441_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6355,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X3)),X2))
% 172.85/173.08 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1251]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6356,plain,
% 172.85/173.08 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),X3))
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6355]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1248,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X3),X1)),X2))
% 172.85/173.08 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3442_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6349,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X3),X1)),X2))
% 172.85/173.08 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1248]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6350,plain,
% 172.85/173.08 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),X3))
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X3)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6349]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1246,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),hAPP(X1,X2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X0,tc_bool)),X4),X1)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X0,tc_bool)),X4),X1)
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3444_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6345,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),hAPP(X1,X2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X0,tc_bool)),X4),X1)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X3,tc_fun(X0,tc_bool)),X4),X1)
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1246]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6346,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.08 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X3,tc_bool)),hAPP(X4,X1)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X0,tc_fun(X3,tc_bool)),X2),X4)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X0,tc_fun(X3,tc_bool)),X2),X4) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6345]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1244,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),hAPP(X1,X2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X0,tc_bool)),X4),X1)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X0,tc_bool)),X4),X1)
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3445_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6341,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),hAPP(X1,X2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X0,tc_bool)),X4),X1)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,tc_fun(X0,tc_bool)),X4),X1)
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1244]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6342,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.08 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X3,tc_bool)),hAPP(X4,X1)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X0,tc_fun(X3,tc_bool)),X2),X4)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X0,tc_fun(X3,tc_bool)),X2),X4) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6341]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1209,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X3))
% 172.85/173.08 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3455_3) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6271,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X3))
% 172.85/173.08 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1209]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6272,plain,
% 172.85/173.08 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X3)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6271]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1207,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2)),X3) = hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X3)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3458_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6267,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2)),X3) = hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X3)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1207]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6268,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.08 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X0),X1),X3)),X2) = hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X3),X2)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6267]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1205,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3459_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6263,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1205]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1203,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X3)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3460_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6259,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X3)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1203]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1201,plain,
% 172.85/173.08 ( hAPP(hAPP(X0,c_Fun_Oid(X1)),X2) = X2
% 172.85/173.08 | ~ hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X0,X3,X1,X4)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3461_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6255,plain,
% 172.85/173.08 ( hAPP(hAPP(X0,c_Fun_Oid(X1)),X2) = X2
% 172.85/173.08 | ~ hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X0,X3,X1,X4)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1201]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6256,plain,
% 172.85/173.08 ( ~ hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X0,X1,X2,X3))
% 172.85/173.08 | hAPP(hAPP(X0,c_Fun_Oid(X2)),X4) = X4 ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6255]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1197,plain,
% 172.85/173.08 ( c_Finite__Set_Ofinite(hAPP(X0,X1),X2)
% 172.85/173.08 | ~ c_Finite__Set_Ofinite(X3,X4)
% 172.85/173.08 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X2,tc_bool)),X3),X0),X2)
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X4),X1),X3)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3462_3) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6247,plain,
% 172.85/173.08 ( c_Finite__Set_Ofinite(hAPP(X0,X1),X2)
% 172.85/173.08 | ~ c_Finite__Set_Ofinite(X3,X4)
% 172.85/173.08 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X4,tc_fun(X2,tc_bool)),X3),X0),X2)
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X4),X1),X3)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1197]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6248,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.08 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X0,tc_fun(X3,tc_bool)),X2),X4),X3)
% 172.85/173.08 | c_Finite__Set_Ofinite(hAPP(X4,X1),X3)
% 172.85/173.08 | ~ c_Finite__Set_Ofinite(X2,X0) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6247]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1195,plain,
% 172.85/173.08 ( X0 = X1
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X2),X0),hAPP(hAPP(c_Set_Oinsert(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3463_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6243,plain,
% 172.85/173.08 ( X0 = X1
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X2),X0),hAPP(hAPP(c_Set_Oinsert(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1195]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6244,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))))
% 172.85/173.08 | X1 = X2 ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6243]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1194,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X0),X3),hAPP(hAPP(c_Set_Oinsert(X0),X4),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))
% 172.85/173.08 | X2 = X3
% 172.85/173.08 | X2 = X4 ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3464_0) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6241,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X0),X3),hAPP(hAPP(c_Set_Oinsert(X0),X4),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))
% 172.85/173.08 | X2 = X3
% 172.85/173.08 | X2 = X4 ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1194]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1192,plain,
% 172.85/173.08 ( X0 = X1
% 172.85/173.08 | X0 = X2
% 172.85/173.08 | hAPP(hAPP(c_Set_Oinsert(X3),X4),hAPP(hAPP(c_Set_Oinsert(X3),X0),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3464_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6237,plain,
% 172.85/173.08 ( X0 = X1
% 172.85/173.08 | X0 = X2
% 172.85/173.08 | hAPP(hAPP(c_Set_Oinsert(X3),X4),hAPP(hAPP(c_Set_Oinsert(X3),X0),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1192]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6238,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X0),X3),hAPP(hAPP(c_Set_Oinsert(X0),X4),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))
% 172.85/173.08 | X2 = X4
% 172.85/173.08 | X2 = X3 ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6237]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1191,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X0),X3),hAPP(hAPP(c_Set_Oinsert(X0),X4),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))
% 172.85/173.08 | X1 = X4
% 172.85/173.08 | X2 = X4 ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3465_0) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6235,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X0),X3),hAPP(hAPP(c_Set_Oinsert(X0),X4),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))
% 172.85/173.08 | X1 = X4
% 172.85/173.08 | X2 = X4 ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1191]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1189,plain,
% 172.85/173.08 ( X0 = X1
% 172.85/173.08 | X2 = X1
% 172.85/173.08 | hAPP(hAPP(c_Set_Oinsert(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X0),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X3),X4),hAPP(hAPP(c_Set_Oinsert(X3),X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3465_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6231,plain,
% 172.85/173.08 ( X0 = X1
% 172.85/173.08 | X2 = X1
% 172.85/173.08 | hAPP(hAPP(c_Set_Oinsert(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X0),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X3),X4),hAPP(hAPP(c_Set_Oinsert(X3),X1),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1189]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6232,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X0),X3),hAPP(hAPP(c_Set_Oinsert(X0),X4),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))
% 172.85/173.08 | X2 = X4
% 172.85/173.08 | X1 = X4 ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6231]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1188,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X0),X3),hAPP(hAPP(c_Set_Oinsert(X0),X4),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))
% 172.85/173.08 | X2 = X3
% 172.85/173.08 | X1 = X3 ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3466_0) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6229,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X0),X3),hAPP(hAPP(c_Set_Oinsert(X0),X4),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))
% 172.85/173.08 | X2 = X3
% 172.85/173.08 | X1 = X3 ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1188]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1186,plain,
% 172.85/173.08 ( X0 = X1
% 172.85/173.08 | X2 = X1
% 172.85/173.08 | hAPP(hAPP(c_Set_Oinsert(X3),X0),hAPP(hAPP(c_Set_Oinsert(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X3),X1),hAPP(hAPP(c_Set_Oinsert(X3),X4),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3466_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6225,plain,
% 172.85/173.08 ( X0 = X1
% 172.85/173.08 | X2 = X1
% 172.85/173.08 | hAPP(hAPP(c_Set_Oinsert(X3),X0),hAPP(hAPP(c_Set_Oinsert(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X3),X1),hAPP(hAPP(c_Set_Oinsert(X3),X4),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1186]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6226,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X0),X3),hAPP(hAPP(c_Set_Oinsert(X0),X4),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))
% 172.85/173.08 | X1 = X3
% 172.85/173.08 | X2 = X3 ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6225]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1185,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X0),X3),hAPP(hAPP(c_Set_Oinsert(X0),X4),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))
% 172.85/173.08 | X1 = X4
% 172.85/173.08 | X1 = X3 ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3467_0) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6223,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X0),X3),hAPP(hAPP(c_Set_Oinsert(X0),X4),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))
% 172.85/173.08 | X1 = X4
% 172.85/173.08 | X1 = X3 ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1185]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1183,plain,
% 172.85/173.08 ( X0 = X1
% 172.85/173.08 | X0 = X2
% 172.85/173.08 | hAPP(hAPP(c_Set_Oinsert(X3),X0),hAPP(hAPP(c_Set_Oinsert(X3),X4),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X3),X1),hAPP(hAPP(c_Set_Oinsert(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3467_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6219,plain,
% 172.85/173.08 ( X0 = X1
% 172.85/173.08 | X0 = X2
% 172.85/173.08 | hAPP(hAPP(c_Set_Oinsert(X3),X0),hAPP(hAPP(c_Set_Oinsert(X3),X4),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X3),X1),hAPP(hAPP(c_Set_Oinsert(X3),X2),c_Orderings_Obot__class_Obot(tc_fun(X3,tc_bool)))) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1183]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6220,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) != hAPP(hAPP(c_Set_Oinsert(X0),X3),hAPP(hAPP(c_Set_Oinsert(X0),X4),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))
% 172.85/173.08 | X1 = X3
% 172.85/173.08 | X1 = X4 ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6219]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1181,plain,
% 172.85/173.08 ( hAPP(X0,c_Fun_Oid(X1)) = c_Fun_Oid(X2)
% 172.85/173.08 | ~ hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X0,X3,X1,X2)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3468_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6215,plain,
% 172.85/173.08 ( hAPP(X0,c_Fun_Oid(X1)) = c_Fun_Oid(X2)
% 172.85/173.08 | ~ hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X0,X3,X1,X2)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1181]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6216,plain,
% 172.85/173.08 ( ~ hBOOL(c_Record_Oiso__tuple__update__accessor__cong__assist(X0,X1,X2,X3))
% 172.85/173.08 | hAPP(X0,c_Fun_Oid(X2)) = c_Fun_Oid(X3) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6215]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1179,plain,
% 172.85/173.08 ( c_Fun_Oinj__on(X0,X1,X2,X3)
% 172.85/173.08 | ~ c_Fun_Oinj__on(X0,hAPP(hAPP(c_Set_Oinsert(X2),X4),X1),X2,X3) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3469_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6211,plain,
% 172.85/173.08 ( c_Fun_Oinj__on(X0,X1,X2,X3)
% 172.85/173.08 | ~ c_Fun_Oinj__on(X0,hAPP(hAPP(c_Set_Oinsert(X2),X4),X1),X2,X3) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1179]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6212,plain,
% 172.85/173.08 ( ~ c_Fun_Oinj__on(X0,hAPP(hAPP(c_Set_Oinsert(X1),X2),X3),X1,X4)
% 172.85/173.08 | c_Fun_Oinj__on(X0,X3,X1,X4) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6211]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1158,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X2))
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3475_0) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6169,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X2))
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1158]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1157,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X2)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3475_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6167,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X2)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1157]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1156,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3475_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6165,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1156]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1154,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),X3)) = hAPP(hAPP(c_Set_Oinsert(X0),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X0),X2),X1)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3476_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6161,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),X3)) = hAPP(hAPP(c_Set_Oinsert(X0),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X0),X2),X1)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1154]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6162,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.08 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X0),X1),X3)) = hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6161]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1151,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(X1,X2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X0),X4),X1)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
% 172.85/173.08 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3477_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6155,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(X1,X2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X0),X4),X1)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4))
% 172.85/173.08 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1151]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6156,plain,
% 172.85/173.08 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(X1,X2)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X3,X0),X4),X1)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X3),X2),X4)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6155]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1149,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X2)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3478_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6151,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X2)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1149]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1147,plain,
% 172.85/173.08 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 172.85/173.08 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3482_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6147,plain,
% 172.85/173.08 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 172.85/173.08 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1147]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6148,plain,
% 172.85/173.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 172.85/173.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4))) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6147]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1145,plain,
% 172.85/173.08 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 172.85/173.08 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3483_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6143,plain,
% 172.85/173.08 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 172.85/173.08 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1145]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6144,plain,
% 172.85/173.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 172.85/173.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6143]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1141,plain,
% 172.85/173.08 ( hBOOL(hAPP(c_Orderings_Oorder_Omono(X0,X1,X2),X3))
% 172.85/173.08 | ~ c_Orderings_Oorder(X0,X4,X1)
% 172.85/173.08 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X4,X1,X2),X3))
% 172.85/173.08 | ~ class_Orderings_Oorder(X2) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3485_3) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6135,plain,
% 172.85/173.08 ( hBOOL(hAPP(c_Orderings_Oorder_Omono(X0,X1,X2),X3))
% 172.85/173.08 | ~ c_Orderings_Oorder(X0,X4,X1)
% 172.85/173.08 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X4,X1,X2),X3))
% 172.85/173.08 | ~ class_Orderings_Oorder(X2) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1141]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6136,plain,
% 172.85/173.08 ( ~ class_Orderings_Oorder(X0)
% 172.85/173.08 | ~ hBOOL(hAPP(c_Orderings_Oorder_Ostrict__mono(X1,X2,X0),X3))
% 172.85/173.08 | hBOOL(hAPP(c_Orderings_Oorder_Omono(X4,X2,X0),X3))
% 172.85/173.08 | ~ c_Orderings_Oorder(X4,X1,X2) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6135]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1136,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X3,X0,X4))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X4),hAPP(X3,X1)),hAPP(X3,X2)))
% 172.85/173.08 | ~ class_Orderings_Oorder(X4)
% 172.85/173.08 | ~ class_Orderings_Olinorder(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3488_4) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6125,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X3,X0,X4))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X4),hAPP(X3,X1)),hAPP(X3,X2)))
% 172.85/173.08 | ~ class_Orderings_Oorder(X4)
% 172.85/173.08 | ~ class_Orderings_Olinorder(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1136]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6126,plain,
% 172.85/173.08 ( ~ class_Orderings_Olinorder(X0)
% 172.85/173.08 | ~ class_Orderings_Oorder(X1)
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X1),hAPP(X2,X3)),hAPP(X2,X4)))
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X4))
% 172.85/173.08 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X2,X0,X1)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6125]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1131,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X3,X0,X4))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X4),hAPP(X3,X1)),hAPP(X3,X2)))
% 172.85/173.08 | ~ class_Orderings_Oorder(X4)
% 172.85/173.08 | ~ class_Orderings_Olinorder(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3489_4) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6115,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X3,X0,X4))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X4),hAPP(X3,X1)),hAPP(X3,X2)))
% 172.85/173.08 | ~ class_Orderings_Oorder(X4)
% 172.85/173.08 | ~ class_Orderings_Olinorder(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1131]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6116,plain,
% 172.85/173.08 ( ~ class_Orderings_Olinorder(X0)
% 172.85/173.08 | ~ class_Orderings_Oorder(X1)
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X1),hAPP(X2,X3)),hAPP(X2,X4)))
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X4))
% 172.85/173.08 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X2,X0,X1)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6115]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1128,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(X1,X3))
% 172.85/173.08 | ~ hBOOL(hAPP(X2,X3)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3490_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6109,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(X1,X3))
% 172.85/173.08 | ~ hBOOL(hAPP(X2,X3)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1128]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1125,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X3))
% 172.85/173.08 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3491_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6103,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X3))
% 172.85/173.08 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1125]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6104,plain,
% 172.85/173.08 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X3)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6103]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1122,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.85/173.08 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3492_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6097,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.85/173.08 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1122]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6098,plain,
% 172.85/173.08 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6097]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1119,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.85/173.08 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3493_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6091,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.85/173.08 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1119]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6092,plain,
% 172.85/173.08 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6091]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1116,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X3))
% 172.85/173.08 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3494_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6085,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X3))
% 172.85/173.08 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1116]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6086,plain,
% 172.85/173.08 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X3)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6085]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1113,plain,
% 172.85/173.08 ( hBOOL(c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3))
% 172.85/173.08 | ~ hBOOL(c_List_Olistsp(X0,X1,X3))
% 172.85/173.08 | ~ hBOOL(c_List_Olistsp(X0,X2,X3)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3496_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6079,plain,
% 172.85/173.08 ( hBOOL(c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3))
% 172.85/173.08 | ~ hBOOL(c_List_Olistsp(X0,X1,X3))
% 172.85/173.08 | ~ hBOOL(c_List_Olistsp(X0,X2,X3)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1113]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1107,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),X1))
% 172.85/173.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3498_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6067,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),X1))
% 172.85/173.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1107]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1101,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),X1))
% 172.85/173.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3500_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6055,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)),X1))
% 172.85/173.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1101]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1089,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.85/173.08 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3503_3) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6031,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.85/173.08 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1089]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6032,plain,
% 172.85/173.08 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6031]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1087,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),X2),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(X1,X3)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3504_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6027,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),X2),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(X1,X3)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1087]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1085,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),X2),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(X2,X3)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3505_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6023,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),X2),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(X2,X3)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1085]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1077,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X3),X2)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3)),X2)
% 172.85/173.08 | ~ class_Lattices_Odistrib__lattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3509_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6007,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X3),X2)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3)),X2)
% 172.85/173.08 | ~ class_Lattices_Odistrib__lattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1077]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6008,plain,
% 172.85/173.08 ( ~ class_Lattices_Odistrib__lattice(X0)
% 172.85/173.08 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X3),X2)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3)),X2) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6007]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1075,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X3),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X3)),X2)
% 172.85/173.08 | ~ class_Lattices_Odistrib__lattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3510_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6003,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X3),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X3)),X2)
% 172.85/173.08 | ~ class_Lattices_Odistrib__lattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1075]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6004,plain,
% 172.85/173.08 ( ~ class_Lattices_Odistrib__lattice(X0)
% 172.85/173.08 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X3),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X3)),X2) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_6003]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1073,plain,
% 172.85/173.08 ( hBOOL(c_List_Olistsp(X0,X1,X2))
% 172.85/173.08 | ~ hBOOL(c_List_Olistsp(X0,c_List_Oappend(X1,X3,X2),X2)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3511_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5999,plain,
% 172.85/173.08 ( hBOOL(c_List_Olistsp(X0,X1,X2))
% 172.85/173.08 | ~ hBOOL(c_List_Olistsp(X0,c_List_Oappend(X1,X3,X2),X2)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1073]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_6000,plain,
% 172.85/173.08 ( ~ hBOOL(c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3))
% 172.85/173.08 | hBOOL(c_List_Olistsp(X0,X1,X3)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5999]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1071,plain,
% 172.85/173.08 ( hBOOL(c_List_Olistsp(X0,X1,X2))
% 172.85/173.08 | ~ hBOOL(c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3512_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5995,plain,
% 172.85/173.08 ( hBOOL(c_List_Olistsp(X0,X1,X2))
% 172.85/173.08 | ~ hBOOL(c_List_Olistsp(X0,c_List_Oappend(X3,X1,X2),X2)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1071]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5996,plain,
% 172.85/173.08 ( ~ hBOOL(c_List_Olistsp(X0,c_List_Oappend(X1,X2,X3),X3))
% 172.85/173.08 | hBOOL(c_List_Olistsp(X0,X2,X3)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5995]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1046,plain,
% 172.85/173.08 ( c_Orderings_Oorder(hAPP(c_COMBC(X0,X0,tc_bool),X1),hAPP(c_COMBC(X0,X0,tc_bool),X2),X0)
% 172.85/173.08 | ~ c_Orderings_Oorder(X1,X2,X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3518_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5945,plain,
% 172.85/173.08 ( c_Orderings_Oorder(hAPP(c_COMBC(X0,X0,tc_bool),X1),hAPP(c_COMBC(X0,X0,tc_bool),X2),X0)
% 172.85/173.08 | ~ c_Orderings_Oorder(X1,X2,X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1046]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1044,plain,
% 172.85/173.08 ( c_Orderings_Olinorder(hAPP(c_COMBC(X0,X0,tc_bool),X1),hAPP(c_COMBC(X0,X0,tc_bool),X2),X0)
% 172.85/173.08 | ~ c_Orderings_Olinorder(X1,X2,X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3519_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5941,plain,
% 172.85/173.08 ( c_Orderings_Olinorder(hAPP(c_COMBC(X0,X0,tc_bool),X1),hAPP(c_COMBC(X0,X0,tc_bool),X2),X0)
% 172.85/173.08 | ~ c_Orderings_Olinorder(X1,X2,X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1044]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1041,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(X0,X4),X3)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3520_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5935,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X4))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(X0,X4),X3)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1041]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1039,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(X0,X4),X2)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3521_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5931,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X4),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(X0,X4),X2)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1039]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1036,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.08 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X3),X2) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X3)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3523_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5925,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.08 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X3),X2) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X3)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1036]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5926,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X3))
% 172.85/173.08 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X3),X2) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5925]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1026,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X3),X2)))
% 172.85/173.08 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3526_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5905,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X3),X2)))
% 172.85/173.08 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1026]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5906,plain,
% 172.85/173.08 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)))
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5905]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1023,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)))
% 172.85/173.08 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3527_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5899,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)))
% 172.85/173.08 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1023]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5900,plain,
% 172.85/173.08 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)))
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5899]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1021,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.08 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X0),X1),X3)),X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X3),X2) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3529_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5895,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.08 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),hAPP(hAPP(c_Set_Oinsert(X0),X1),X3)),X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X3),X2) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1021]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1018,plain,
% 172.85/173.08 ( X0 = X1
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_in(X2),X0),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X2),X0),hAPP(hAPP(c_Set_Oinsert(X2),X1),X3))) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3530_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5889,plain,
% 172.85/173.08 ( X0 = X1
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_in(X2),X0),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X2),X0),hAPP(hAPP(c_Set_Oinsert(X2),X1),X3))) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1018]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5890,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),X3)))
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_in(X0),X1),X3))
% 172.85/173.08 | X1 = X2 ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5889]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1016,plain,
% 172.85/173.08 ( hAPP(c_Complete__Lattice_OInf__class_OInf(X0),hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)
% 172.85/173.08 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3531_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5885,plain,
% 172.85/173.08 ( hAPP(c_Complete__Lattice_OInf__class_OInf(X0),hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)
% 172.85/173.08 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1016]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5886,plain,
% 172.85/173.08 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.85/173.08 | hAPP(c_Complete__Lattice_OInf__class_OInf(X0),hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5885]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1014,plain,
% 172.85/173.08 ( hAPP(c_Complete__Lattice_OSup__class_OSup(X0),hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)
% 172.85/173.08 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3532_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5881,plain,
% 172.85/173.08 ( hAPP(c_Complete__Lattice_OSup__class_OSup(X0),hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)
% 172.85/173.08 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1014]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5882,plain,
% 172.85/173.08 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.85/173.08 | hAPP(c_Complete__Lattice_OSup__class_OSup(X0),hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5881]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1012,plain,
% 172.85/173.08 ( c_Orderings_Oorder(hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)),hAPP(c_COMBC(X0,X0,tc_bool),c_HOL_Oord__class_Oless(X0)),X0)
% 172.85/173.08 | ~ class_Orderings_Oorder(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3543_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5877,plain,
% 172.85/173.08 ( c_Orderings_Oorder(hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)),hAPP(c_COMBC(X0,X0,tc_bool),c_HOL_Oord__class_Oless(X0)),X0)
% 172.85/173.08 | ~ class_Orderings_Oorder(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1012]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5878,plain,
% 172.85/173.08 ( ~ class_Orderings_Oorder(X0)
% 172.85/173.08 | c_Orderings_Oorder(hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)),hAPP(c_COMBC(X0,X0,tc_bool),c_HOL_Oord__class_Oless(X0)),X0) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5877]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_1010,plain,
% 172.85/173.08 ( c_Orderings_Olinorder(hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)),hAPP(c_COMBC(X0,X0,tc_bool),c_HOL_Oord__class_Oless(X0)),X0)
% 172.85/173.08 | ~ class_Orderings_Olinorder(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3544_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5873,plain,
% 172.85/173.08 ( c_Orderings_Olinorder(hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)),hAPP(c_COMBC(X0,X0,tc_bool),c_HOL_Oord__class_Oless(X0)),X0)
% 172.85/173.08 | ~ class_Orderings_Olinorder(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_1010]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5874,plain,
% 172.85/173.08 ( ~ class_Orderings_Olinorder(X0)
% 172.85/173.08 | c_Orderings_Olinorder(hAPP(c_COMBC(X0,X0,tc_bool),c_lessequals(X0)),hAPP(c_COMBC(X0,X0,tc_bool),c_HOL_Oord__class_Oless(X0)),X0) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5873]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_991,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X1))
% 172.85/173.08 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3553_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5835,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X1))
% 172.85/173.08 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_991]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5836,plain,
% 172.85/173.08 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X1)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5835]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_989,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X2))
% 172.85/173.08 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3554_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5831,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X2))
% 172.85/173.08 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_989]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5832,plain,
% 172.85/173.08 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X2)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5831]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_987,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X2))
% 172.85/173.08 | ~ class_Lattices_Olattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3555_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5827,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X2))
% 172.85/173.08 | ~ class_Lattices_Olattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_987]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5828,plain,
% 172.85/173.08 ( ~ class_Lattices_Olattice(X0)
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X2)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5827]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_985,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X1))
% 172.85/173.08 | ~ class_Lattices_Olattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3556_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5823,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X1))
% 172.85/173.08 | ~ class_Lattices_Olattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_985]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5824,plain,
% 172.85/173.08 ( ~ class_Lattices_Olattice(X0)
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X1)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5823]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_983,plain,
% 172.85/173.08 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 172.85/173.08 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3557_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5819,plain,
% 172.85/173.08 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 172.85/173.08 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_983]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5820,plain,
% 172.85/173.08 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 172.85/173.08 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5819]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_981,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3))
% 172.85/173.08 | ~ class_Lattices_Odistrib__lattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3558_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5815,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3))
% 172.85/173.08 | ~ class_Lattices_Odistrib__lattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_981]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5816,plain,
% 172.85/173.08 ( ~ class_Lattices_Odistrib__lattice(X0)
% 172.85/173.08 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5815]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_979,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3))
% 172.85/173.08 | ~ class_Lattices_Odistrib__lattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3559_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5811,plain,
% 172.85/173.08 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3))
% 172.85/173.08 | ~ class_Lattices_Odistrib__lattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_979]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5812,plain,
% 172.85/173.08 ( ~ class_Lattices_Odistrib__lattice(X0)
% 172.85/173.08 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5811]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_973,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.85/173.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3563_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5799,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.85/173.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_973]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_970,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
% 172.85/173.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3564_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5793,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
% 172.85/173.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_970]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_968,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.08 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X0),X1),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3565_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5789,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.08 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),hAPP(hAPP(c_Set_Oinsert(X0),X1),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_968]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_966,plain,
% 172.85/173.08 ( hBOOL(c_List_Olistsp(X0,X1,X2))
% 172.85/173.08 | ~ hBOOL(hAPP(X0,c_List_Osko__List__Xin__listsp__conv__set__1__1(X0,X1,X2))) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3566_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5785,plain,
% 172.85/173.08 ( hBOOL(c_List_Olistsp(X0,X1,X2))
% 172.85/173.08 | ~ hBOOL(hAPP(X0,c_List_Osko__List__Xin__listsp__conv__set__1__1(X0,X1,X2))) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_966]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5786,plain,
% 172.85/173.08 ( ~ hBOOL(hAPP(X0,c_List_Osko__List__Xin__listsp__conv__set__1__1(X0,X1,X2)))
% 172.85/173.08 | hBOOL(c_List_Olistsp(X0,X1,X2)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5785]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_963,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.85/173.08 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3567_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5779,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.85/173.08 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_963]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5780,plain,
% 172.85/173.08 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5779]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_960,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.08 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3568_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5773,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.08 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_960]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5774,plain,
% 172.85/173.08 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5773]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_957,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.08 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3569_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5767,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.08 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_957]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5768,plain,
% 172.85/173.08 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5767]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_954,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.85/173.08 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3570_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5761,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.85/173.08 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_954]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5762,plain,
% 172.85/173.08 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5761]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_952,plain,
% 172.85/173.08 ( c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.08 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X0),X1) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3571_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5757,plain,
% 172.85/173.08 ( c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.08 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X0),X1) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_952]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5758,plain,
% 172.85/173.08 ( ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),X2),X0)
% 172.85/173.08 | c_Finite__Set_Ofinite(X2,X0) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5757]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_950,plain,
% 172.85/173.08 ( c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.08 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X0),X2),X1) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3572_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5753,plain,
% 172.85/173.08 ( c_Finite__Set_Ofinite(X0,X1)
% 172.85/173.08 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X0),X2),X1) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_950]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5754,plain,
% 172.85/173.08 ( ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),X2),X0)
% 172.85/173.08 | c_Finite__Set_Ofinite(X1,X0) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5753]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_946,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X3)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3577_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5745,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),X3)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X3)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_946]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_940,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)))
% 172.85/173.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3579_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5733,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)))
% 172.85/173.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_940]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_934,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)))
% 172.85/173.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3581_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5721,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)))
% 172.85/173.08 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_934]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_932,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X2))) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3582_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5717,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X2))) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_932]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5718,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X2)))
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
% 172.85/173.08 inference(rewriting,[status(thm)],[c_5717]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_929,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),X2))
% 172.85/173.08 | ~ c_Lambda_Obeta(X3,X1) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3583_2) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5711,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),X3),X2))
% 172.85/173.08 | ~ c_Lambda_Obeta(X3,X1) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_929]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_927,plain,
% 172.85/173.08 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 172.85/173.08 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3584_1) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5707,plain,
% 172.85/173.08 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),c_Lambda_OdB_OVar(X1)),X2)))
% 172.85/173.08 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_927]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_926,plain,
% 172.85/173.08 ( ~ class_Orderings_Opreorder(X0)
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X1))
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2)) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3585_0) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5705,plain,
% 172.85/173.08 ( ~ class_Orderings_Opreorder(X0)
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X1))
% 172.85/173.08 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2)) ),
% 172.85/173.08 inference(copy,[status(esa)],[c_926]) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_923,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.85/173.08 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X2))
% 172.85/173.08 | ~ class_Orderings_Opreorder(X0) ),
% 172.85/173.08 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3585_3) ).
% 172.85/173.08
% 172.85/173.08 cnf(c_5699,plain,
% 172.85/173.08 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X2))
% 172.85/173.09 | ~ class_Orderings_Opreorder(X0) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_923]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5700,plain,
% 172.85/173.09 ( ~ class_Orderings_Opreorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X1)) ),
% 172.85/173.09 inference(rewriting,[status(thm)],[c_5699]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_918,plain,
% 172.85/173.09 ( ~ class_Orderings_Opreorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X1))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X2)) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3587_0) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5689,plain,
% 172.85/173.09 ( ~ class_Orderings_Opreorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X1))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X2)) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_918]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_917,plain,
% 172.85/173.09 ( ~ class_Orderings_Opreorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X1)) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3587_1) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5687,plain,
% 172.85/173.09 ( ~ class_Orderings_Opreorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X1)) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_917]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_915,plain,
% 172.85/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X2))
% 172.85/173.09 | ~ class_Orderings_Opreorder(X0) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3587_3) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5683,plain,
% 172.85/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X2))
% 172.85/173.09 | ~ class_Orderings_Opreorder(X0) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_915]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5684,plain,
% 172.85/173.09 ( ~ class_Orderings_Opreorder(X0)
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X2)) ),
% 172.85/173.09 inference(rewriting,[status(thm)],[c_5683]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_910,plain,
% 172.85/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X3))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3)) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3589_0) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5673,plain,
% 172.85/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X3))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3)) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_910]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_907,plain,
% 172.85/173.09 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.85/173.09 | ~ class_Orderings_Oorder(X0) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3589_3) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5667,plain,
% 172.85/173.09 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.85/173.09 | ~ class_Orderings_Oorder(X0) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_907]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5668,plain,
% 172.85/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X3)) ),
% 172.85/173.09 inference(rewriting,[status(thm)],[c_5667]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_906,plain,
% 172.85/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X3))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3)) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3590_0) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5665,plain,
% 172.85/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X3))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3)) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_906]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_905,plain,
% 172.85/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X3)) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3590_1) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5663,plain,
% 172.85/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X3)) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_905]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_903,plain,
% 172.85/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.85/173.09 | ~ class_Orderings_Oorder(X0) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3590_3) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5659,plain,
% 172.85/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3))
% 172.85/173.09 | ~ class_Orderings_Oorder(X0) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_903]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5660,plain,
% 172.85/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X3),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X3)) ),
% 172.85/173.09 inference(rewriting,[status(thm)],[c_5659]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_902,plain,
% 172.85/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X3))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3)) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3591_0) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5657,plain,
% 172.85/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X3))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3)) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_902]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_901,plain,
% 172.85/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X3)) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3591_1) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5655,plain,
% 172.85/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X3)) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_901]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_899,plain,
% 172.85/173.09 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.85/173.09 | ~ class_Orderings_Oorder(X0) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3591_3) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5651,plain,
% 172.85/173.09 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.85/173.09 | ~ class_Orderings_Oorder(X0) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_899]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5652,plain,
% 172.85/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3)) ),
% 172.85/173.09 inference(rewriting,[status(thm)],[c_5651]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_898,plain,
% 172.85/173.09 ( ~ class_Orderings_Opreorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X1))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2)) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3592_0) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5649,plain,
% 172.85/173.09 ( ~ class_Orderings_Opreorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X1))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2)) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_898]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_897,plain,
% 172.85/173.09 ( ~ class_Orderings_Opreorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X1)) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3592_1) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5647,plain,
% 172.85/173.09 ( ~ class_Orderings_Opreorder(X0)
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X1)) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_897]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_895,plain,
% 172.85/173.09 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2))
% 172.85/173.09 | ~ class_Orderings_Opreorder(X0) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3592_3) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5643,plain,
% 172.85/173.09 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2))
% 172.85/173.09 | ~ class_Orderings_Opreorder(X0) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_895]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5644,plain,
% 172.85/173.09 ( ~ class_Orderings_Opreorder(X0)
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X3))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X3),X2)) ),
% 172.85/173.09 inference(rewriting,[status(thm)],[c_5643]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_892,plain,
% 172.85/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(c_Complete__Lattice_OInf__class_OInf(X0),X1)),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_in(X0),X2),X1))
% 172.85/173.09 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3593_2) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5637,plain,
% 172.85/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(c_Complete__Lattice_OInf__class_OInf(X0),X1)),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_in(X0),X2),X1))
% 172.85/173.09 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_892]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5638,plain,
% 172.85/173.09 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.85/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),hAPP(c_Complete__Lattice_OInf__class_OInf(X0),X1)),X2))
% 172.85/173.09 | ~ hBOOL(hAPP(hAPP(c_in(X0),X2),X1)) ),
% 172.85/173.09 inference(rewriting,[status(thm)],[c_5637]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_890,plain,
% 172.85/173.09 ( hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,X0)),X1),X2),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(X1,v_x)),hAPP(X2,v_x))
% 172.85/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3597_1) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5633,plain,
% 172.85/173.09 ( hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,X0)),X1),X2),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(X1,v_x)),hAPP(X2,v_x))
% 172.85/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_890]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5634,plain,
% 172.85/173.09 ( ~ class_Lattices_Olattice(X0)
% 172.85/173.09 | hAPP(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(t_a,X0)),X1),X2),v_x) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(X1,v_x)),hAPP(X2,v_x)) ),
% 172.85/173.09 inference(rewriting,[status(thm)],[c_5633]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_888,plain,
% 172.85/173.09 ( hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,X0)),X1),X2),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(X1,v_x)),hAPP(X2,v_x))
% 172.85/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3598_1) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5629,plain,
% 172.85/173.09 ( hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,X0)),X1),X2),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(X1,v_x)),hAPP(X2,v_x))
% 172.85/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_888]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5630,plain,
% 172.85/173.09 ( ~ class_Lattices_Olattice(X0)
% 172.85/173.09 | hAPP(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(t_a,X0)),X1),X2),v_x) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(X1,v_x)),hAPP(X2,v_x)) ),
% 172.85/173.09 inference(rewriting,[status(thm)],[c_5629]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_882,plain,
% 172.85/173.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 172.85/173.09 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3601_1) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5617,plain,
% 172.85/173.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 172.85/173.09 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_882]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5618,plain,
% 172.85/173.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 172.85/173.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) ),
% 172.85/173.09 inference(rewriting,[status(thm)],[c_5617]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_880,plain,
% 172.85/173.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 172.85/173.09 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3602_1) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5613,plain,
% 172.85/173.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 172.85/173.09 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_880]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5614,plain,
% 172.85/173.09 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 172.85/173.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) ),
% 172.85/173.09 inference(rewriting,[status(thm)],[c_5613]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_878,plain,
% 172.85/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3))
% 172.85/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3603_1) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5609,plain,
% 172.85/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3))
% 172.85/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_878]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5610,plain,
% 172.85/173.09 ( ~ class_Lattices_Olattice(X0)
% 172.85/173.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)) ),
% 172.85/173.09 inference(rewriting,[status(thm)],[c_5609]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_876,plain,
% 172.85/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3))
% 172.85/173.09 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3604_1) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5605,plain,
% 172.85/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3))
% 172.85/173.09 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_876]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5606,plain,
% 172.85/173.09 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.85/173.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)),X3) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)) ),
% 172.85/173.09 inference(rewriting,[status(thm)],[c_5605]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_874,plain,
% 172.85/173.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3))
% 172.85/173.09 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3605_1) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5601,plain,
% 172.85/173.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3))
% 172.85/173.09 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.85/173.09 inference(copy,[status(esa)],[c_874]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5602,plain,
% 172.85/173.09 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.85/173.09 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)) ),
% 172.85/173.09 inference(rewriting,[status(thm)],[c_5601]) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_872,plain,
% 172.85/173.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3))
% 172.85/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.85/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3606_1) ).
% 172.85/173.09
% 172.85/173.09 cnf(c_5597,plain,
% 172.85/173.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3))
% 172.91/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_872]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5598,plain,
% 172.91/173.09 ( ~ class_Lattices_Olattice(X0)
% 172.91/173.09 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)),X3) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5597]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_870,plain,
% 172.91/173.09 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)
% 172.91/173.09 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3607_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5593,plain,
% 172.91/173.09 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)
% 172.91/173.09 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_870]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5594,plain,
% 172.91/173.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 172.91/173.09 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2))) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5593]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_868,plain,
% 172.91/173.09 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2))) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)
% 172.91/173.09 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3608_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5589,plain,
% 172.91/173.09 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2))) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)
% 172.91/173.09 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_868]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5590,plain,
% 172.91/173.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 172.91/173.09 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2))) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5589]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_866,plain,
% 172.91/173.09 ( hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(X0),X1),X2),X3),X4) = hAPP(X1,X4)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X4),X2)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3609_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5585,plain,
% 172.91/173.09 ( hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(X0),X1),X2),X3),X4) = hAPP(X1,X4)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X4),X2)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_866]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5586,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X1))
% 172.91/173.09 | hAPP(hAPP(hAPP(hAPP(c_Type_Oshift(X2),X3),X1),X4),X0) = hAPP(X3,X0) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5585]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_863,plain,
% 172.91/173.09 ( X0 = X1
% 172.91/173.09 | hBOOL(hAPP(X2,X1))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X3),X0),X2),X1)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3610_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5579,plain,
% 172.91/173.09 ( X0 = X1
% 172.91/173.09 | hBOOL(hAPP(X2,X1))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X3),X0),X2),X1)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_863]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5580,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),X3))
% 172.91/173.09 | hBOOL(hAPP(X2,X3))
% 172.91/173.09 | X1 = X3 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5579]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_859,plain,
% 172.91/173.09 ( X0 = c_List_Olist_ONil(X1)
% 172.91/173.09 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3612_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5571,plain,
% 172.91/173.09 ( X0 = c_List_Olist_ONil(X1)
% 172.91/173.09 | c_List_Omap(X2,X0,X1,X3) != c_List_Olist_ONil(X3) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_859]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5572,plain,
% 172.91/173.09 ( c_List_Omap(X0,X1,X2,X3) != c_List_Olist_ONil(X3)
% 172.91/173.09 | X1 = c_List_Olist_ONil(X2) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5571]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_857,plain,
% 172.91/173.09 ( ~ class_Orderings_Opreorder(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3613_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5567,plain,
% 172.91/173.09 ( ~ class_Orderings_Opreorder(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_857]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_853,plain,
% 172.91/173.09 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.91/173.09 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X0),hAPP(c_COMBK(tc_fun(X2,tc_bool),X1),X3)) = X3 ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3614_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5559,plain,
% 172.91/173.09 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.91/173.09 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,tc_fun(X2,tc_bool)),X0),hAPP(c_COMBK(tc_fun(X2,tc_bool),X1),X3)) = X3 ),
% 172.91/173.09 inference(copy,[status(esa)],[c_853]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5560,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X0,tc_fun(X1,tc_bool)),X2),hAPP(c_COMBK(tc_fun(X1,tc_bool),X0),X3)) = X3
% 172.91/173.09 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5559]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_851,plain,
% 172.91/173.09 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.91/173.09 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X0),hAPP(c_COMBK(tc_fun(X2,tc_bool),X1),X3)) = X3 ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3615_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5555,plain,
% 172.91/173.09 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.91/173.09 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,tc_fun(X2,tc_bool)),X0),hAPP(c_COMBK(tc_fun(X2,tc_bool),X1),X3)) = X3 ),
% 172.91/173.09 inference(copy,[status(esa)],[c_851]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5556,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X0,tc_fun(X1,tc_bool)),X2),hAPP(c_COMBK(tc_fun(X1,tc_bool),X0),X3)) = X3
% 172.91/173.09 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5555]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_843,plain,
% 172.91/173.09 ( c_Lambda_Obeta(hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2))
% 172.91/173.09 | ~ c_Lambda_Obeta(X0,X3) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3618_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5539,plain,
% 172.91/173.09 ( c_Lambda_Obeta(hAPP(hAPP(hAPP(c_Lambda_Osubst,X0),X1),X2),hAPP(hAPP(hAPP(c_Lambda_Osubst,X3),X1),X2))
% 172.91/173.09 | ~ c_Lambda_Obeta(X0,X3) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_843]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_838,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(c_Complete__Lattice_OSup__class_OSup(X0),X2)))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.91/173.09 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3620_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5529,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(c_Complete__Lattice_OSup__class_OSup(X0),X2)))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.91/173.09 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_838]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5530,plain,
% 172.91/173.09 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(c_Complete__Lattice_OSup__class_OSup(X0),X2)))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5529]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_826,plain,
% 172.91/173.09 ( X0 = X1
% 172.91/173.09 | ~ c_Orderings_Oorder(X2,X3,X4)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X2,X0),X1))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3623_3) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5505,plain,
% 172.91/173.09 ( X0 = X1
% 172.91/173.09 | ~ c_Orderings_Oorder(X2,X3,X4)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X2,X0),X1))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_826]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5506,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 172.91/173.09 | ~ c_Orderings_Oorder(X0,X3,X4)
% 172.91/173.09 | X1 = X2 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5505]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_827,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.91/173.09 | X2 = X1
% 172.91/173.09 | ~ c_Orderings_Oorder(X0,X3,X4)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3623_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5507,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.91/173.09 | X2 = X1
% 172.91/173.09 | ~ c_Orderings_Oorder(X0,X3,X4)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X0,X2),X1)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_827]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5508,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 172.91/173.09 | ~ c_Orderings_Oorder(X0,X3,X4)
% 172.91/173.09 | X2 = X1 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5507]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_820,plain,
% 172.91/173.09 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),X2),X0)
% 172.91/173.09 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.91/173.09 | ~ c_Finite__Set_Ofinite(X2,X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3625_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5493,plain,
% 172.91/173.09 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),X2),X0)
% 172.91/173.09 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.91/173.09 | ~ c_Finite__Set_Ofinite(X2,X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_820]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_818,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X1))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X2,X1),X1))
% 172.91/173.09 | ~ c_Orderings_Olinorder(X0,X2,X3) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3626_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5489,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X1))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X2,X1),X1))
% 172.91/173.09 | ~ c_Orderings_Olinorder(X0,X2,X3) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_818]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_811,plain,
% 172.91/173.09 ( ~ c_Orderings_Olinorder(X0,X1,X2)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X1,X4),X3)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3628_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5475,plain,
% 172.91/173.09 ( ~ c_Orderings_Olinorder(X0,X1,X2)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X0,X3),X4))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X1,X4),X3)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_811]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5476,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X3,X2),X1))
% 172.91/173.09 | ~ c_Orderings_Olinorder(X0,X3,X4) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5475]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_812,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.91/173.09 | ~ c_Orderings_Olinorder(X3,X0,X4)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3628_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5477,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.91/173.09 | ~ c_Orderings_Olinorder(X3,X0,X4)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X3,X2),X1)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_812]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5478,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X3,X2),X1))
% 172.91/173.09 | ~ c_Orderings_Olinorder(X3,X0,X4) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5477]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_808,plain,
% 172.91/173.09 ( ~ c_Orderings_Olinorder(X0,X1,X2)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X1,X3),X4))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X1,X4),X3)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3629_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5469,plain,
% 172.91/173.09 ( ~ c_Orderings_Olinorder(X0,X1,X2)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X1,X3),X4))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X1,X4),X3)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_808]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5470,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X0,X2),X1))
% 172.91/173.09 | ~ c_Orderings_Olinorder(X3,X0,X4) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5469]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_796,plain,
% 172.91/173.09 ( X0 = X1
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X2),X0),X1))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X2),X1),X0))
% 172.91/173.09 | ~ class_Orderings_Oorder(X2) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3632_3) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5445,plain,
% 172.91/173.09 ( X0 = X1
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X2),X0),X1))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X2),X1),X0))
% 172.91/173.09 | ~ class_Orderings_Oorder(X2) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_796]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5446,plain,
% 172.91/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
% 172.91/173.09 | X1 = X2 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5445]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_798,plain,
% 172.91/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | X2 = X1
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3632_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5449,plain,
% 172.91/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | X2 = X1
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_798]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5450,plain,
% 172.91/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
% 172.91/173.09 | X2 = X1 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5449]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_790,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.91/173.09 | ~ class_Orderings_Opreorder(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3634_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5433,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.91/173.09 | ~ class_Orderings_Opreorder(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_790]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5434,plain,
% 172.91/173.09 ( ~ class_Orderings_Opreorder(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5433]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_787,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.91/173.09 | ~ class_Orderings_Olinorder(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3635_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5427,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.91/173.09 | ~ class_Orderings_Olinorder(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_787]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5428,plain,
% 172.91/173.09 ( ~ class_Orderings_Olinorder(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5427]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_784,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.91/173.09 | ~ class_Orderings_Oorder(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3636_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5421,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.91/173.09 | ~ class_Orderings_Oorder(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_784]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5422,plain,
% 172.91/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5421]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_781,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
% 172.91/173.09 | ~ class_Orderings_Opreorder(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3637_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5415,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
% 172.91/173.09 | ~ class_Orderings_Opreorder(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_781]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5416,plain,
% 172.91/173.09 ( ~ class_Orderings_Opreorder(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5415]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_775,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.91/173.09 | ~ class_Orderings_Olinorder(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3639_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5403,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.91/173.09 | ~ class_Orderings_Olinorder(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_775]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5404,plain,
% 172.91/173.09 ( ~ class_Orderings_Olinorder(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5403]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_772,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X1))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X1))
% 172.91/173.09 | ~ class_Orderings_Olinorder(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3640_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5397,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X1))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X1))
% 172.91/173.09 | ~ class_Orderings_Olinorder(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_772]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5398,plain,
% 172.91/173.09 ( ~ class_Orderings_Olinorder(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X1))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X1)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5397]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_770,plain,
% 172.91/173.09 ( X0 = X1
% 172.91/173.09 | hAPP(hAPP(c_Set_Oinsert(X2),X0),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) != hAPP(hAPP(c_Set_Oinsert(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3644_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5393,plain,
% 172.91/173.09 ( X0 = X1
% 172.91/173.09 | hAPP(hAPP(c_Set_Oinsert(X2),X0),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) != hAPP(hAPP(c_Set_Oinsert(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_770]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5394,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) != hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))
% 172.91/173.09 | X1 = X2 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5393]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_768,plain,
% 172.91/173.09 ( hAPP(X0,X1) = X2
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),c_Lambda_OdB_OVar(X1)),X2)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3645_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5389,plain,
% 172.91/173.09 ( hAPP(X0,X1) = X2
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),c_Lambda_OdB_OVar(X1)),X2)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_768]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5390,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),c_Lambda_OdB_OVar(X1)),X2))
% 172.91/173.09 | hAPP(X0,X1) = X2 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5389]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_766,plain,
% 172.91/173.09 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X0)
% 172.91/173.09 | ~ c_Finite__Set_Ofinite(X1,X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3651_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5385,plain,
% 172.91/173.09 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X0)
% 172.91/173.09 | ~ c_Finite__Set_Ofinite(X1,X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_766]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_764,plain,
% 172.91/173.09 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X0)
% 172.91/173.09 | ~ c_Finite__Set_Ofinite(X2,X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3652_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5381,plain,
% 172.91/173.09 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2),X0)
% 172.91/173.09 | ~ c_Finite__Set_Ofinite(X2,X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_764]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_758,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)))
% 172.91/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3654_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5369,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)))
% 172.91/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_758]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5370,plain,
% 172.91/173.09 ( ~ class_Lattices_Olattice(X0)
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2))) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5369]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_756,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X1)))
% 172.91/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3655_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5365,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X1)))
% 172.91/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_756]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5366,plain,
% 172.91/173.09 ( ~ class_Lattices_Olattice(X0)
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X1))) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5365]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_754,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X1)))
% 172.91/173.09 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3656_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5361,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X1)))
% 172.91/173.09 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_754]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5362,plain,
% 172.91/173.09 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X1))) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5361]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_752,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)))
% 172.91/173.09 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3657_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5357,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)))
% 172.91/173.09 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_752]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5358,plain,
% 172.91/173.09 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2))) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5357]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_750,plain,
% 172.91/173.09 ( hBOOL(hAPP(X0,X1))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_in(X2),X1),hAPP(c_Collect(X2),X0))) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3658_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5353,plain,
% 172.91/173.09 ( hBOOL(hAPP(X0,X1))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_in(X2),X1),hAPP(c_Collect(X2),X0))) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_750]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5354,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(c_Collect(X0),X2)))
% 172.91/173.09 | hBOOL(hAPP(X2,X1)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5353]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_748,plain,
% 172.91/173.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3))
% 172.91/173.09 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3659_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5349,plain,
% 172.91/173.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3))
% 172.91/173.09 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_748]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5350,plain,
% 172.91/173.09 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 172.91/173.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5349]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_746,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X3))
% 172.91/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3660_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5345,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X3))
% 172.91/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_746]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5346,plain,
% 172.91/173.09 ( ~ class_Lattices_Olattice(X0)
% 172.91/173.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X3)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5345]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_744,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X3))
% 172.91/173.09 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3661_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5341,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X3))
% 172.91/173.09 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_744]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5342,plain,
% 172.91/173.09 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.91/173.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X3)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5341]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_742,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3))
% 172.91/173.09 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3662_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5337,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3))
% 172.91/173.09 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_742]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5338,plain,
% 172.91/173.09 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.91/173.09 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5337]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_740,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3))
% 172.91/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3663_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5333,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3))
% 172.91/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_740]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5334,plain,
% 172.91/173.09 ( ~ class_Lattices_Olattice(X0)
% 172.91/173.09 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X3)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5333]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_737,plain,
% 172.91/173.09 ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0)
% 172.91/173.09 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.91/173.09 | ~ c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1),X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3664_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5327,plain,
% 172.91/173.09 ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0)
% 172.91/173.09 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.91/173.09 | ~ c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1),X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_737]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5328,plain,
% 172.91/173.09 ( ~ c_Finite__Set_Ofinite(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1),X0)
% 172.91/173.09 | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0)
% 172.91/173.09 | ~ c_Finite__Set_Ofinite(X1,X0) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5327]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_735,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3665_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5323,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X3))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(X0,X2),X3)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_735]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_732,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),c_Orderings_Oord__class_OLeast(X2,X0)))
% 172.91/173.09 | ~ hBOOL(hAPP(X2,X1))
% 172.91/173.09 | ~ class_Orderings_Owellorder(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3671_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5317,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),c_Orderings_Oord__class_OLeast(X2,X0)))
% 172.91/173.09 | ~ hBOOL(hAPP(X2,X1))
% 172.91/173.09 | ~ class_Orderings_Owellorder(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_732]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5318,plain,
% 172.91/173.09 ( ~ class_Orderings_Owellorder(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),c_Orderings_Oord__class_OLeast(X2,X0)))
% 172.91/173.09 | ~ hBOOL(hAPP(X2,X1)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5317]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_729,plain,
% 172.91/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.91/173.09 | hBOOL(c_Orderings_Oorder__class_Omono(X1,X0,X2))
% 172.91/173.09 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X1,X0,X2))
% 172.91/173.09 | ~ class_Orderings_Oorder(X2) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3672_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5311,plain,
% 172.91/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.91/173.09 | hBOOL(c_Orderings_Oorder__class_Omono(X1,X0,X2))
% 172.91/173.09 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X1,X0,X2))
% 172.91/173.09 | ~ class_Orderings_Oorder(X2) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_729]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5312,plain,
% 172.91/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.91/173.09 | ~ class_Orderings_Oorder(X1)
% 172.91/173.09 | ~ hBOOL(c_Orderings_Oorder__class_Ostrict__mono(X2,X0,X1))
% 172.91/173.09 | hBOOL(c_Orderings_Oorder__class_Omono(X2,X0,X1)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5311]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_702,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(X3,X1),X2))
% 172.91/173.09 | ~ c_Orderings_Oorder(X3,X0,X4) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3682_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5257,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(X3,X1),X2))
% 172.91/173.09 | ~ c_Orderings_Oorder(X3,X0,X4) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_702]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_699,plain,
% 172.91/173.09 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.91/173.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X0),X2) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3683_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5251,plain,
% 172.91/173.09 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.91/173.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X0),X2) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_699]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5252,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),X2) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.91/173.09 | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5251]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_697,plain,
% 172.91/173.09 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.91/173.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X0) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3684_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5247,plain,
% 172.91/173.09 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.91/173.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X1,tc_bool)),X2),X0) != c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_697]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5248,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),X2) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))
% 172.91/173.09 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5247]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_695,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2))
% 172.91/173.09 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3685_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5243,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2))
% 172.91/173.09 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_695]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5244,plain,
% 172.91/173.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 172.91/173.09 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5243]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_693,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2))
% 172.91/173.09 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3686_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5239,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2))
% 172.91/173.09 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_693]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5240,plain,
% 172.91/173.09 ( ~ class_Lattices_Oboolean__algebra(X0)
% 172.91/173.09 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5239]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_691,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2))
% 172.91/173.09 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3687_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5235,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2))
% 172.91/173.09 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_691]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5236,plain,
% 172.91/173.09 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 172.91/173.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5235]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_689,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2))
% 172.91/173.09 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3688_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5231,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2))
% 172.91/173.09 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_689]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5232,plain,
% 172.91/173.09 ( ~ class_Lattices_Oboolean__algebra(X0)
% 172.91/173.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5231]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_687,plain,
% 172.91/173.09 ( X0 = X1
% 172.91/173.09 | hAPP(hAPP(c_Pair(X2,X3),X4),X0) != hAPP(hAPP(c_Pair(X2,X3),X5),X1) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3689_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5227,plain,
% 172.91/173.09 ( X0 = X1
% 172.91/173.09 | hAPP(hAPP(c_Pair(X2,X3),X4),X0) != hAPP(hAPP(c_Pair(X2,X3),X5),X1) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_687]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5228,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Pair(X0,X1),X2),X3) != hAPP(hAPP(c_Pair(X0,X1),X4),X5)
% 172.91/173.09 | X3 = X5 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5227]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_685,plain,
% 172.91/173.09 ( X0 = X1
% 172.91/173.09 | hAPP(hAPP(c_Pair(X2,X3),X0),X4) != hAPP(hAPP(c_Pair(X2,X3),X1),X5) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3690_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5223,plain,
% 172.91/173.09 ( X0 = X1
% 172.91/173.09 | hAPP(hAPP(c_Pair(X2,X3),X0),X4) != hAPP(hAPP(c_Pair(X2,X3),X1),X5) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_685]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5224,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Pair(X0,X1),X2),X3) != hAPP(hAPP(c_Pair(X0,X1),X4),X5)
% 172.91/173.09 | X2 = X4 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5223]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_677,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | X1 = X2
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ class_Orderings_Olinorder(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3694_3) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5207,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | X1 = X2
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ class_Orderings_Olinorder(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_677]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5208,plain,
% 172.91/173.09 ( ~ class_Orderings_Olinorder(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | X1 = X2 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5207]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_661,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | X1 = X2
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ class_Orderings_Oorder(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3698_3) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5175,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | X1 = X2
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ class_Orderings_Oorder(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_661]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5176,plain,
% 172.91/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | X1 = X2 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5175]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_653,plain,
% 172.91/173.09 ( X0 = X1
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),X1),X0))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X2),X1),X0))
% 172.91/173.09 | ~ class_Orderings_Oorder(X2) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3700_3) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5159,plain,
% 172.91/173.09 ( X0 = X1
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X2),X1),X0))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X2),X1),X0))
% 172.91/173.09 | ~ class_Orderings_Oorder(X2) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_653]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5160,plain,
% 172.91/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | X2 = X1 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5159]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_651,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),X3))
% 172.91/173.09 | ~ hBOOL(hAPP(X2,X3)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3701_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5155,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),X3))
% 172.91/173.09 | ~ hBOOL(hAPP(X2,X3)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_651]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_648,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | ~ class_Orderings_Opreorder(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3702_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5149,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | ~ class_Orderings_Opreorder(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_648]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5150,plain,
% 172.91/173.09 ( ~ class_Orderings_Opreorder(X0)
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5149]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_645,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | ~ class_Orderings_Oorder(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3703_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5143,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | ~ class_Orderings_Oorder(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_645]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5144,plain,
% 172.91/173.09 ( ~ class_Orderings_Oorder(X0)
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5143]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_641,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),c_Finite__Set_Olattice__class_OSup__fin(X2,X0)) = X1
% 172.91/173.09 | ~ c_Finite__Set_Ofinite(X2,X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.91/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3704_3) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5135,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),c_Finite__Set_Olattice__class_OSup__fin(X2,X0)) = X1
% 172.91/173.09 | ~ c_Finite__Set_Ofinite(X2,X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.91/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_641]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5136,plain,
% 172.91/173.09 ( ~ class_Lattices_Olattice(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.91/173.09 | ~ c_Finite__Set_Ofinite(X2,X0)
% 172.91/173.09 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),c_Finite__Set_Olattice__class_OSup__fin(X2,X0)) = X1 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5135]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_637,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),c_Finite__Set_Olattice__class_OInf__fin(X2,X0)) = X1
% 172.91/173.09 | ~ c_Finite__Set_Ofinite(X2,X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.91/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3705_3) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5127,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),c_Finite__Set_Olattice__class_OInf__fin(X2,X0)) = X1
% 172.91/173.09 | ~ c_Finite__Set_Ofinite(X2,X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.91/173.09 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_637]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5128,plain,
% 172.91/173.09 ( ~ class_Lattices_Olattice(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.91/173.09 | ~ c_Finite__Set_Ofinite(X2,X0)
% 172.91/173.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),c_Finite__Set_Olattice__class_OInf__fin(X2,X0)) = X1 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5127]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_627,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),c_Orderings_Oord__class_OLeast(X1,X0)),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(X1,X2))
% 172.91/173.09 | ~ class_Orderings_Owellorder(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3711_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5107,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),c_Orderings_Oord__class_OLeast(X1,X0)),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(X1,X2))
% 172.91/173.09 | ~ class_Orderings_Owellorder(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_627]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5108,plain,
% 172.91/173.09 ( ~ class_Orderings_Owellorder(X0)
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),c_Orderings_Oord__class_OLeast(X1,X0)),X2))
% 172.91/173.09 | ~ hBOOL(hAPP(X1,X2)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5107]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_625,plain,
% 172.91/173.09 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X2)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3712_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5103,plain,
% 172.91/173.09 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X2) = c_Lambda_OdB_OVar(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X2)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_625]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5104,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X1))
% 172.91/173.09 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X2),X1) = c_Lambda_OdB_OVar(X0) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5103]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_623,plain,
% 172.91/173.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 172.91/173.09 | ~ class_Ring__and__Field_Oring(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3714_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5099,plain,
% 172.91/173.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 172.91/173.09 | ~ class_Ring__and__Field_Oring(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_623]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5100,plain,
% 172.91/173.09 ( ~ class_Ring__and__Field_Oring(X0)
% 172.91/173.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5099]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_604,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(X0,X1),X1))
% 172.91/173.09 | hBOOL(hAPP(hAPP(X2,X1),X1))
% 172.91/173.09 | ~ c_Orderings_Olinorder(X0,X2,X3) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3723_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5061,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(X0,X1),X1))
% 172.91/173.09 | hBOOL(hAPP(hAPP(X2,X1),X1))
% 172.91/173.09 | ~ c_Orderings_Olinorder(X0,X2,X3) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_604]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_594,plain,
% 172.91/173.09 ( ~ c_Orderings_Olinorder(X0,X1,X2)
% 172.91/173.09 | hBOOL(hAPP(hAPP(X0,X3),X4))
% 172.91/173.09 | hBOOL(hAPP(hAPP(X1,X4),X3)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3727_0) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5041,plain,
% 172.91/173.09 ( ~ c_Orderings_Olinorder(X0,X1,X2)
% 172.91/173.09 | hBOOL(hAPP(hAPP(X0,X3),X4))
% 172.91/173.09 | hBOOL(hAPP(hAPP(X1,X4),X3)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_594]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5042,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(X3,X2),X1))
% 172.91/173.09 | ~ c_Orderings_Olinorder(X0,X3,X4) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5041]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_595,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 172.91/173.09 | ~ c_Orderings_Olinorder(X0,X3,X4) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3726_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5043,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(X0,X2),X1))
% 172.91/173.09 | ~ c_Orderings_Olinorder(X0,X3,X4) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_595]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_592,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(X3,X2),X1))
% 172.91/173.09 | ~ c_Orderings_Olinorder(X3,X0,X4) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3727_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5037,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(X3,X2),X1))
% 172.91/173.09 | ~ c_Orderings_Olinorder(X3,X0,X4) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_592]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_590,plain,
% 172.91/173.09 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 172.91/173.09 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3732_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5033,plain,
% 172.91/173.09 ( hBOOL(hAPP(c_InductTermi_OIT,hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))))
% 172.91/173.09 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_590]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_583,plain,
% 172.91/173.09 ( hAPP(c_Complete__Lattice_OSup__class_OSup(X0),hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) = X1
% 172.91/173.09 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3736_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5019,plain,
% 172.91/173.09 ( hAPP(c_Complete__Lattice_OSup__class_OSup(X0),hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) = X1
% 172.91/173.09 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_583]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5020,plain,
% 172.91/173.09 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.91/173.09 | hAPP(c_Complete__Lattice_OSup__class_OSup(X0),hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) = X1 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5019]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_581,plain,
% 172.91/173.09 ( hAPP(c_Complete__Lattice_OInf__class_OInf(X0),hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) = X1
% 172.91/173.09 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3737_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5015,plain,
% 172.91/173.09 ( hAPP(c_Complete__Lattice_OInf__class_OInf(X0),hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) = X1
% 172.91/173.09 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_581]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5016,plain,
% 172.91/173.09 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.91/173.09 | hAPP(c_Complete__Lattice_OInf__class_OInf(X0),hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) = X1 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5015]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_577,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(c_Collect(X0),X2)))
% 172.91/173.09 | ~ hBOOL(hAPP(X2,X1)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3739_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5007,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(c_Collect(X0),X2)))
% 172.91/173.09 | ~ hBOOL(hAPP(X2,X1)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_577]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_574,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = X2
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
% 172.91/173.09 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3740_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5001,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = X2
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
% 172.91/173.09 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_574]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_5002,plain,
% 172.91/173.09 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X1) = X1 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_5001]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_571,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = X1
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3741_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4995,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = X1
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_571]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4996,plain,
% 172.91/173.09 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = X1 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_4995]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_568,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) = X2
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3742_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4989,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) = X2
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_568]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4990,plain,
% 172.91/173.09 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) = X2 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_4989]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_565,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) = X1
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
% 172.91/173.09 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3743_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4983,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) = X1
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
% 172.91/173.09 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_565]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4984,plain,
% 172.91/173.09 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X1) = X2 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_4983]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_563,plain,
% 172.91/173.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)
% 172.91/173.09 | ~ class_Ring__and__Field_Oring(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3744_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4979,plain,
% 172.91/173.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)
% 172.91/173.09 | ~ class_Ring__and__Field_Oring(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_563]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4980,plain,
% 172.91/173.09 ( ~ class_Ring__and__Field_Oring(X0)
% 172.91/173.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_4979]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_561,plain,
% 172.91/173.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)
% 172.91/173.09 | ~ class_Ring__and__Field_Oidom(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3745_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4975,plain,
% 172.91/173.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)
% 172.91/173.09 | ~ class_Ring__and__Field_Oidom(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_561]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4976,plain,
% 172.91/173.09 ( ~ class_Ring__and__Field_Oidom(X0)
% 172.91/173.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_4975]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_559,plain,
% 172.91/173.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2))
% 172.91/173.09 | ~ class_Ring__and__Field_Oring(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3746_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4971,plain,
% 172.91/173.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2))
% 172.91/173.09 | ~ class_Ring__and__Field_Oring(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_559]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4972,plain,
% 172.91/173.09 ( ~ class_Ring__and__Field_Oring(X0)
% 172.91/173.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_4971]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_546,plain,
% 172.91/173.09 ( ~ class_Orderings_Olinorder(X0)
% 172.91/173.09 | X1 = X2
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3750_0) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4945,plain,
% 172.91/173.09 ( ~ class_Orderings_Olinorder(X0)
% 172.91/173.09 | X1 = X2
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_546]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4946,plain,
% 172.91/173.09 ( ~ class_Orderings_Olinorder(X0)
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.91/173.09 | X2 = X1 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_4945]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_543,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.91/173.09 | X1 = X2
% 172.91/173.09 | ~ class_Orderings_Olinorder(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3750_3) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4939,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.91/173.09 | X1 = X2
% 172.91/173.09 | ~ class_Orderings_Olinorder(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_543]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4940,plain,
% 172.91/173.09 ( ~ class_Orderings_Olinorder(X0)
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.91/173.09 | X1 = X2 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_4939]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_537,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),X2) = X2
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3754_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4927,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),X2) = X2
% 172.91/173.09 | ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_537]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4928,plain,
% 172.91/173.09 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
% 172.91/173.09 | hAPP(hAPP(c_Set_Oinsert(X0),X1),X2) = X2 ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_4927]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_534,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
% 172.91/173.09 | ~ class_Orderings_Olinorder(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3756_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4921,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1))
% 172.91/173.09 | ~ class_Orderings_Olinorder(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_534]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4922,plain,
% 172.91/173.09 ( ~ class_Orderings_Olinorder(X0)
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X2),X1)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_4921]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_525,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X1))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X1))
% 172.91/173.09 | ~ class_Orderings_Olinorder(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3759_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4903,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X1))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X1))
% 172.91/173.09 | ~ class_Orderings_Olinorder(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_525]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4904,plain,
% 172.91/173.09 ( ~ class_Orderings_Olinorder(X0)
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X1))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X1)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_4903]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_522,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.91/173.09 | ~ class_Orderings_Olinorder(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3760_2) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4897,plain,
% 172.91/173.09 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1))
% 172.91/173.09 | ~ class_Orderings_Olinorder(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_522]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4898,plain,
% 172.91/173.09 ( ~ class_Orderings_Olinorder(X0)
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.09 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X2),X1)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_4897]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_520,plain,
% 172.91/173.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 172.91/173.09 | ~ class_Ring__and__Field_Oring(X0) ),
% 172.91/173.09 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3761_1) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4893,plain,
% 172.91/173.09 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 172.91/173.09 | ~ class_Ring__and__Field_Oring(X0) ),
% 172.91/173.09 inference(copy,[status(esa)],[c_520]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_4894,plain,
% 172.91/173.09 ( ~ class_Ring__and__Field_Oring(X0)
% 172.91/173.09 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 172.91/173.09 inference(rewriting,[status(thm)],[c_4893]) ).
% 172.91/173.09
% 172.91/173.09 cnf(c_518,plain,
% 172.91/173.09 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(c_Complete__Lattice_OInf__class_OInf(X0),X2)) = hAPP(c_Complete__Lattice_OInf__class_OInf(X0),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2))
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3762_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4889,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(c_Complete__Lattice_OInf__class_OInf(X0),X2)) = hAPP(c_Complete__Lattice_OInf__class_OInf(X0),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2))
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_518]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4890,plain,
% 172.91/173.10 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(c_Complete__Lattice_OInf__class_OInf(X0),X2)) = hAPP(c_Complete__Lattice_OInf__class_OInf(X0),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2)) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4889]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_516,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(c_Complete__Lattice_OSup__class_OSup(X0),X2)) = hAPP(c_Complete__Lattice_OSup__class_OSup(X0),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2))
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3763_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4885,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(c_Complete__Lattice_OSup__class_OSup(X0),X2)) = hAPP(c_Complete__Lattice_OSup__class_OSup(X0),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2))
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_516]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4886,plain,
% 172.91/173.10 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(c_Complete__Lattice_OSup__class_OSup(X0),X2)) = hAPP(c_Complete__Lattice_OSup__class_OSup(X0),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2)) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4885]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_512,plain,
% 172.91/173.10 ( ~ c_Orderings_Olinorder(X0,X1,X2) | ~ hBOOL(hAPP(hAPP(X1,X3),X3)) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3765_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4877,plain,
% 172.91/173.10 ( ~ c_Orderings_Olinorder(X0,X1,X2) | ~ hBOOL(hAPP(hAPP(X1,X3),X3)) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_512]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4878,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(hAPP(X0,X1),X1)) | ~ c_Orderings_Olinorder(X2,X0,X3) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4877]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_510,plain,
% 172.91/173.10 ( ~ c_Orderings_Oorder(X0,X1,X2) | ~ hBOOL(hAPP(hAPP(X1,X3),X3)) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3766_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4873,plain,
% 172.91/173.10 ( ~ c_Orderings_Oorder(X0,X1,X2) | ~ hBOOL(hAPP(hAPP(X1,X3),X3)) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_510]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4874,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(hAPP(X0,X1),X1)) | ~ c_Orderings_Oorder(X2,X0,X3) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4873]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_508,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)
% 172.91/173.10 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3767_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4869,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)
% 172.91/173.10 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_508]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4870,plain,
% 172.91/173.10 ( ~ class_Lattices_Olattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4869]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_506,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)
% 172.91/173.10 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3768_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4865,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)
% 172.91/173.10 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_506]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4866,plain,
% 172.91/173.10 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4865]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_504,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)
% 172.91/173.10 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3769_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4861,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)
% 172.91/173.10 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_504]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4862,plain,
% 172.91/173.10 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4861]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_502,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)
% 172.91/173.10 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3770_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4857,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)
% 172.91/173.10 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_502]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4858,plain,
% 172.91/173.10 ( ~ class_Lattices_Olattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4857]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_500,plain,
% 172.91/173.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)
% 172.91/173.10 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3771_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4853,plain,
% 172.91/173.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)
% 172.91/173.10 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_500]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4854,plain,
% 172.91/173.10 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 172.91/173.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4853]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_495,plain,
% 172.91/173.10 ( X0 = X1
% 172.91/173.10 | hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X0) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3775_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4843,plain,
% 172.91/173.10 ( X0 = X1
% 172.91/173.10 | hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X0) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X2,tc_bool)),X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_495]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4844,plain,
% 172.91/173.10 ( hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X2)
% 172.91/173.10 | X1 = X2 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4843]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_492,plain,
% 172.91/173.10 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.91/173.10 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2),X0),hAPP(c_COMBK(X2,X1),X3)) = X3
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3777_2) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4837,plain,
% 172.91/173.10 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.91/173.10 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X2),X0),hAPP(c_COMBK(X2,X1),X3)) = X3
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_492]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4838,plain,
% 172.91/173.10 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(X1,X0),X2),hAPP(c_COMBK(X0,X1),X3)) = X3
% 172.91/173.10 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4837]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_489,plain,
% 172.91/173.10 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.91/173.10 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2),X0),hAPP(c_COMBK(X2,X1),X3)) = X3
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3778_2) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4831,plain,
% 172.91/173.10 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.91/173.10 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X2),X0),hAPP(c_COMBK(X2,X1),X3)) = X3
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X2) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_489]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4832,plain,
% 172.91/173.10 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(X1,X0),X2),hAPP(c_COMBK(X0,X1),X3)) = X3
% 172.91/173.10 | X2 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4831]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_485,plain,
% 172.91/173.10 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) = X2
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) != c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) != c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3779_3) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4823,plain,
% 172.91/173.10 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) = X2
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) != c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) != c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_485]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4824,plain,
% 172.91/173.10 ( ~ class_Lattices_Oboolean__algebra(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) != c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) != c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) = X2 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4823]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_483,plain,
% 172.91/173.10 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 172.91/173.10 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X0)) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3780_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4819,plain,
% 172.91/173.10 ( hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1
% 172.91/173.10 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X0)) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_483]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4820,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X0))
% 172.91/173.10 | hAPP(hAPP(hAPP(c_Lambda_Osubst,c_Lambda_OdB_OVar(X0)),X1),X0) = X1 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4819]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_481,plain,
% 172.91/173.10 ( hBOOL(hAPP(X0,X1)) | ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X0)) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3782_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4815,plain,
% 172.91/173.10 ( hBOOL(hAPP(X0,X1)) | ~ hBOOL(hAPP(hAPP(c_in(X2),X1),X0)) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_481]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4816,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) | hBOOL(hAPP(X2,X1)) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4815]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_478,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) != X1
% 172.91/173.10 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3783_2) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4809,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) != X1
% 172.91/173.10 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_478]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4810,plain,
% 172.91/173.10 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.91/173.10 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) != X1 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4809]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_475,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) != X2
% 172.91/173.10 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3784_2) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4803,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) != X2
% 172.91/173.10 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_475]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4804,plain,
% 172.91/173.10 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.91/173.10 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X2))
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) != X2 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4803]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_473,plain,
% 172.91/173.10 ( c_Finite__Set_Ofinite(X0,X1)
% 172.91/173.10 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(X1),X2),X0),X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3785_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4799,plain,
% 172.91/173.10 ( c_Finite__Set_Ofinite(X0,X1)
% 172.91/173.10 | ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(X1),X2),X0),X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_473]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4800,plain,
% 172.91/173.10 ( ~ c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),X0)
% 172.91/173.10 | c_Finite__Set_Ofinite(X2,X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4799]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_469,plain,
% 172.91/173.10 ( X0 = X1
% 172.91/173.10 | X0 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
% 172.91/173.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)
% 172.91/173.10 | ~ class_Ring__and__Field_Oidom(X2) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3789_3) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4791,plain,
% 172.91/173.10 ( X0 = X1
% 172.91/173.10 | X0 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
% 172.91/173.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X1)
% 172.91/173.10 | ~ class_Ring__and__Field_Oidom(X2) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_469]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4792,plain,
% 172.91/173.10 ( ~ class_Ring__and__Field_Oidom(X0)
% 172.91/173.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)
% 172.91/173.10 | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)
% 172.91/173.10 | X1 = X2 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4791]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_467,plain,
% 172.91/173.10 ( hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(t_a,X0)),X1),v_x) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(X1,v_x))
% 172.91/173.10 | ~ class_HOL_Ouminus(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3790_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4787,plain,
% 172.91/173.10 ( hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(t_a,X0)),X1),v_x) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(X1,v_x))
% 172.91/173.10 | ~ class_HOL_Ouminus(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_467]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4788,plain,
% 172.91/173.10 ( ~ class_HOL_Ouminus(X0)
% 172.91/173.10 | hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(t_a,X0)),X1),v_x) = hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(X1,v_x)) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4787]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_462,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X1))
% 172.91/173.10 | X1 = X0
% 172.91/173.10 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X0)) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3792_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4777,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X1))
% 172.91/173.10 | X1 = X0
% 172.91/173.10 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X0)) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_462]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4778,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X1))
% 172.91/173.10 | hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X1),X0))
% 172.91/173.10 | X1 = X0 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4777]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_459,plain,
% 172.91/173.10 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 172.91/173.10 | ~ c_Lambda_Obeta(X0,X2) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3796_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4771,plain,
% 172.91/173.10 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 172.91/173.10 | ~ c_Lambda_Obeta(X0,X2) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_459]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_457,plain,
% 172.91/173.10 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 172.91/173.10 | ~ c_Lambda_Obeta(X1,X2) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3797_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4767,plain,
% 172.91/173.10 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 172.91/173.10 | ~ c_Lambda_Obeta(X1,X2) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_457]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_455,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X1))
% 172.91/173.10 | ~ class_Orderings_Opreorder(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3798_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4763,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X1))
% 172.91/173.10 | ~ class_Orderings_Opreorder(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_455]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4764,plain,
% 172.91/173.10 ( ~ class_Orderings_Opreorder(X0)
% 172.91/173.10 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X1)) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4763]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_453,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X1))
% 172.91/173.10 | ~ class_Orderings_Olinorder(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3799_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4759,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X1))
% 172.91/173.10 | ~ class_Orderings_Olinorder(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_453]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4760,plain,
% 172.91/173.10 ( ~ class_Orderings_Olinorder(X0)
% 172.91/173.10 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X1)) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4759]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_451,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X1))
% 172.91/173.10 | ~ class_Orderings_Oorder(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3800_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4755,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X1))
% 172.91/173.10 | ~ class_Orderings_Oorder(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_451]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4756,plain,
% 172.91/173.10 ( ~ class_Orderings_Oorder(X0)
% 172.91/173.10 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(X0),X1),X1)) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4755]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_449,plain,
% 172.91/173.10 ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3801_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4751,plain,
% 172.91/173.10 ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_449]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4752,plain,
% 172.91/173.10 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X3,X1,X2) | X0 = X3 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4751]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_447,plain,
% 172.91/173.10 ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3802_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4747,plain,
% 172.91/173.10 ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_447]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4748,plain,
% 172.91/173.10 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X0,X3,X2) | X1 = X3 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4747]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_445,plain,
% 172.91/173.10 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 172.91/173.10 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X1)) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3803_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4743,plain,
% 172.91/173.10 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 172.91/173.10 | ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X1)) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_445]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4744,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X1))
% 172.91/173.10 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4743]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_443,plain,
% 172.91/173.10 ( X0 = X1 | ~ hBOOL(hAPP(hAPP(c_fequal(X2),X0),X1)) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3804_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4739,plain,
% 172.91/173.10 ( X0 = X1 | ~ hBOOL(hAPP(hAPP(c_fequal(X2),X0),X1)) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_443]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4740,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(hAPP(c_fequal(X0),X1),X2)) | X1 = X2 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4739]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_441,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(X0,X1),X1)) | ~ c_Orderings_Oorder(X0,X2,X3) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3805_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4735,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(X0,X1),X1)) | ~ c_Orderings_Oorder(X0,X2,X3) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_441]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_439,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)) = X1
% 172.91/173.10 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3806_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4731,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)) = X1
% 172.91/173.10 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_439]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4732,plain,
% 172.91/173.10 ( ~ class_Lattices_Olattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2)) = X1 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4731]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_437,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)) = X1
% 172.91/173.10 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3807_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4727,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)) = X1
% 172.91/173.10 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_437]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4728,plain,
% 172.91/173.10 ( ~ class_Lattices_Olattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2)) = X1 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4727]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_435,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) | ~ hBOOL(hAPP(X2,X1)) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3809_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4723,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) | ~ hBOOL(hAPP(X2,X1)) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_435]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_430,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X1) = c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3821_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4713,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X1) = c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_430]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4714,plain,
% 172.91/173.10 ( ~ class_Lattices_Oboolean__algebra(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X1) = c_Orderings_Otop__class_Otop(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4713]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_428,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X1) = c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3822_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4709,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X1) = c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_428]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4710,plain,
% 172.91/173.10 ( ~ class_Lattices_Oboolean__algebra(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)),X1) = c_Orderings_Obot__class_Obot(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4709]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_426,plain,
% 172.91/173.10 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),X0)
% 172.91/173.10 | ~ c_Finite__Set_Ofinite(X2,X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3823_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4705,plain,
% 172.91/173.10 ( c_Finite__Set_Ofinite(hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),X0)
% 172.91/173.10 | ~ c_Finite__Set_Ofinite(X2,X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_426]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_424,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(c_lessequals(X0),c_Orderings_Obot__class_Obot(X0)),X1))
% 172.91/173.10 | ~ class_Orderings_Obot(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3824_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4701,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(c_lessequals(X0),c_Orderings_Obot__class_Obot(X0)),X1))
% 172.91/173.10 | ~ class_Orderings_Obot(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_424]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4702,plain,
% 172.91/173.10 ( ~ class_Orderings_Obot(X0)
% 172.91/173.10 | hBOOL(hAPP(hAPP(c_lessequals(X0),c_Orderings_Obot__class_Obot(X0)),X1)) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4701]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_418,plain,
% 172.91/173.10 ( hBOOL(hAPP(X0,c_Orderings_Oord__class_OLeast(X0,X1)))
% 172.91/173.10 | ~ hBOOL(hAPP(X0,X2))
% 172.91/173.10 | ~ class_Orderings_Owellorder(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3826_2) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4689,plain,
% 172.91/173.10 ( hBOOL(hAPP(X0,c_Orderings_Oord__class_OLeast(X0,X1)))
% 172.91/173.10 | ~ hBOOL(hAPP(X0,X2))
% 172.91/173.10 | ~ class_Orderings_Owellorder(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_418]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4690,plain,
% 172.91/173.10 ( ~ class_Orderings_Owellorder(X0)
% 172.91/173.10 | hBOOL(hAPP(X1,c_Orderings_Oord__class_OLeast(X1,X0)))
% 172.91/173.10 | ~ hBOOL(hAPP(X1,X2)) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4689]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_414,plain,
% 172.91/173.10 ( hBOOL(hAPP(X0,c_Hilbert__Choice_OEps(X0,X1))) | ~ hBOOL(hAPP(X0,X2)) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3829_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4681,plain,
% 172.91/173.10 ( hBOOL(hAPP(X0,c_Hilbert__Choice_OEps(X0,X1))) | ~ hBOOL(hAPP(X0,X2)) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_414]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_412,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),c_Orderings_Otop__class_Otop(X0)))
% 172.91/173.10 | ~ class_Orderings_Otop(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3830_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4677,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),c_Orderings_Otop__class_Otop(X0)))
% 172.91/173.10 | ~ class_Orderings_Otop(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_412]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4678,plain,
% 172.91/173.10 ( ~ class_Orderings_Otop(X0)
% 172.91/173.10 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),c_Orderings_Otop__class_Otop(X0))) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4677]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_410,plain,
% 172.91/173.10 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X0,X1)))
% 172.91/173.10 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3834_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4673,plain,
% 172.91/173.10 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_Olift(X0,X1)))
% 172.91/173.10 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_410]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_408,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(X0,X1))
% 172.91/173.10 | c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != hAPP(c_Collect(X2),X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3835_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4669,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(X0,X1))
% 172.91/173.10 | c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) != hAPP(c_Collect(X2),X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_408]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_406,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(X0,X1))
% 172.91/173.10 | hAPP(c_Collect(X2),X0) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3836_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4665,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(X0,X1))
% 172.91/173.10 | hAPP(c_Collect(X2),X0) != c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_406]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_404,plain,
% 172.91/173.10 ( X0 = X1
% 172.91/173.10 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3837_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4661,plain,
% 172.91/173.10 ( X0 = X1
% 172.91/173.10 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_404]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4662,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 172.91/173.10 | X0 = X2 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4661]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_402,plain,
% 172.91/173.10 ( X0 = X1
% 172.91/173.10 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3838_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4657,plain,
% 172.91/173.10 ( X0 = X1
% 172.91/173.10 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_402]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4658,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 172.91/173.10 | X1 = X3 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4657]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_400,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X1))
% 172.91/173.10 | ~ class_Orderings_Opreorder(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3839_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4653,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X1))
% 172.91/173.10 | ~ class_Orderings_Opreorder(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_400]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4654,plain,
% 172.91/173.10 ( ~ class_Orderings_Opreorder(X0)
% 172.91/173.10 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X1)) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4653]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_398,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X1))
% 172.91/173.10 | ~ class_Orderings_Oorder(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3840_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4649,plain,
% 172.91/173.10 ( hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X1))
% 172.91/173.10 | ~ class_Orderings_Oorder(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_398]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4650,plain,
% 172.91/173.10 ( ~ class_Orderings_Oorder(X0)
% 172.91/173.10 | hBOOL(hAPP(hAPP(c_lessequals(X0),X1),X1)) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4649]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_396,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X1)
% 172.91/173.10 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3841_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4645,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X1)
% 172.91/173.10 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_396]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4646,plain,
% 172.91/173.10 ( ~ class_Lattices_Olattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X1) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4645]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_394,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X1)
% 172.91/173.10 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3842_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4641,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X1)
% 172.91/173.10 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_394]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4642,plain,
% 172.91/173.10 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X2),X1) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4641]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_392,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X1)
% 172.91/173.10 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3843_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4637,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X1)
% 172.91/173.10 | ~ class_Lattices_Olattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_392]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4638,plain,
% 172.91/173.10 ( ~ class_Lattices_Olattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X1) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4637]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_390,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X1)
% 172.91/173.10 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3844_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4633,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X1)
% 172.91/173.10 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_390]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4634,plain,
% 172.91/173.10 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X2),X1) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4633]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_386,plain,
% 172.91/173.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)
% 172.91/173.10 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3846_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4625,plain,
% 172.91/173.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)
% 172.91/173.10 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_386]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4626,plain,
% 172.91/173.10 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 172.91/173.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4625]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_384,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3849_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4621,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_384]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4622,plain,
% 172.91/173.10 ( ~ class_Lattices_Oboolean__algebra(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = c_Orderings_Otop__class_Otop(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4621]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_382,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3850_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4617,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_382]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4618,plain,
% 172.91/173.10 ( ~ class_Lattices_Oboolean__algebra(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = c_Orderings_Obot__class_Obot(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4617]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_379,plain,
% 172.91/173.10 ( X0 = c_Orderings_Obot__class_Obot(X1)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X0) != c_Orderings_Obot__class_Obot(X1)
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3851_2) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4611,plain,
% 172.91/173.10 ( X0 = c_Orderings_Obot__class_Obot(X1)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X2),X0) != c_Orderings_Obot__class_Obot(X1)
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_379]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4612,plain,
% 172.91/173.10 ( ~ class_Lattices_Obounded__lattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) != c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | X2 = c_Orderings_Obot__class_Obot(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4611]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_376,plain,
% 172.91/173.10 ( X0 = c_Orderings_Obot__class_Obot(X1)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X0),X2) != c_Orderings_Obot__class_Obot(X1)
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3852_2) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4605,plain,
% 172.91/173.10 ( X0 = c_Orderings_Obot__class_Obot(X1)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X1),X0),X2) != c_Orderings_Obot__class_Obot(X1)
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_376]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4606,plain,
% 172.91/173.10 ( ~ class_Lattices_Obounded__lattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X2) != c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | X1 = c_Orderings_Obot__class_Obot(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4605]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_373,plain,
% 172.91/173.10 ( X0 = c_Orderings_Otop__class_Otop(X1)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X0),X2) != c_Orderings_Otop__class_Otop(X1)
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3853_2) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4599,plain,
% 172.91/173.10 ( X0 = c_Orderings_Otop__class_Otop(X1)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X0),X2) != c_Orderings_Otop__class_Otop(X1)
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_373]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4600,plain,
% 172.91/173.10 ( ~ class_Lattices_Obounded__lattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) != c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | X1 = c_Orderings_Otop__class_Otop(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4599]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_370,plain,
% 172.91/173.10 ( X0 = c_Orderings_Otop__class_Otop(X1)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X0) != c_Orderings_Otop__class_Otop(X1)
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3854_2) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4593,plain,
% 172.91/173.10 ( X0 = c_Orderings_Otop__class_Otop(X1)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X1),X2),X0) != c_Orderings_Otop__class_Otop(X1)
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_370]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4594,plain,
% 172.91/173.10 ( ~ class_Lattices_Obounded__lattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X2) != c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | X2 = c_Orderings_Otop__class_Otop(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4593]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_364,plain,
% 172.91/173.10 ( X0 = c_List_Olist_ONil(X1)
% 172.91/173.10 | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3857_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4581,plain,
% 172.91/173.10 ( X0 = c_List_Olist_ONil(X1)
% 172.91/173.10 | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_364]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4582,plain,
% 172.91/173.10 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 172.91/173.10 | X1 = c_List_Olist_ONil(X2) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4581]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_362,plain,
% 172.91/173.10 ( X0 = c_List_Olist_ONil(X1)
% 172.91/173.10 | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3858_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4577,plain,
% 172.91/173.10 ( X0 = c_List_Olist_ONil(X1)
% 172.91/173.10 | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_362]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4578,plain,
% 172.91/173.10 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 172.91/173.10 | X0 = c_List_Olist_ONil(X2) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4577]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_358,plain,
% 172.91/173.10 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3861_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4569,plain,
% 172.91/173.10 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 172.91/173.10 inference(copy,[status(esa)],[c_358]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4570,plain,
% 172.91/173.10 ( c_List_Oappend(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil(X2) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4569]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_354,plain,
% 172.91/173.10 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3863_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4561,plain,
% 172.91/173.10 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 172.91/173.10 inference(copy,[status(esa)],[c_354]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4562,plain,
% 172.91/173.10 ( c_List_Oappend(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil(X2) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4561]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_350,plain,
% 172.91/173.10 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.91/173.10 | hAPP(c_Complete__Lattice_OSup__class_OSup(X1),X0) = c_Finite__Set_Olattice__class_OSup__fin(X0,X1)
% 172.91/173.10 | ~ c_Finite__Set_Ofinite(X0,X1)
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3864_3) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4553,plain,
% 172.91/173.10 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.91/173.10 | hAPP(c_Complete__Lattice_OSup__class_OSup(X1),X0) = c_Finite__Set_Olattice__class_OSup__fin(X0,X1)
% 172.91/173.10 | ~ c_Finite__Set_Ofinite(X0,X1)
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_350]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4554,plain,
% 172.91/173.10 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.91/173.10 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.91/173.10 | hAPP(c_Complete__Lattice_OSup__class_OSup(X0),X1) = c_Finite__Set_Olattice__class_OSup__fin(X1,X0)
% 172.91/173.10 | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4553]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_346,plain,
% 172.91/173.10 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.91/173.10 | hAPP(c_Complete__Lattice_OInf__class_OInf(X1),X0) = c_Finite__Set_Olattice__class_OInf__fin(X0,X1)
% 172.91/173.10 | ~ c_Finite__Set_Ofinite(X0,X1)
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3865_3) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4545,plain,
% 172.91/173.10 ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))
% 172.91/173.10 | hAPP(c_Complete__Lattice_OInf__class_OInf(X1),X0) = c_Finite__Set_Olattice__class_OInf__fin(X0,X1)
% 172.91/173.10 | ~ c_Finite__Set_Ofinite(X0,X1)
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_346]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4546,plain,
% 172.91/173.10 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.91/173.10 | ~ c_Finite__Set_Ofinite(X1,X0)
% 172.91/173.10 | hAPP(c_Complete__Lattice_OInf__class_OInf(X0),X1) = c_Finite__Set_Olattice__class_OInf__fin(X1,X0)
% 172.91/173.10 | X1 = c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4545]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_344,plain,
% 172.91/173.10 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 172.91/173.10 | ~ c_Lambda_Obeta(X0,X2) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3866_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4541,plain,
% 172.91/173.10 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 172.91/173.10 | ~ c_Lambda_Obeta(X0,X2) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_344]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_342,plain,
% 172.91/173.10 ( hAPP(c_Complete__Lattice_OSup__class_OSup(X0),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool))) = c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3868_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4537,plain,
% 172.91/173.10 ( hAPP(c_Complete__Lattice_OSup__class_OSup(X0),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool))) = c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_342]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4538,plain,
% 172.91/173.10 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.91/173.10 | hAPP(c_Complete__Lattice_OSup__class_OSup(X0),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool))) = c_Orderings_Otop__class_Otop(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4537]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_340,plain,
% 172.91/173.10 ( hAPP(c_Complete__Lattice_OInf__class_OInf(X0),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3869_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4533,plain,
% 172.91/173.10 ( hAPP(c_Complete__Lattice_OInf__class_OInf(X0),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_340]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4534,plain,
% 172.91/173.10 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.91/173.10 | hAPP(c_Complete__Lattice_OInf__class_OInf(X0),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = c_Orderings_Otop__class_Otop(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4533]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_338,plain,
% 172.91/173.10 ( hAPP(c_Complete__Lattice_OInf__class_OInf(X0),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool))) = c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3870_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4529,plain,
% 172.91/173.10 ( hAPP(c_Complete__Lattice_OInf__class_OInf(X0),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool))) = c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_338]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4530,plain,
% 172.91/173.10 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.91/173.10 | hAPP(c_Complete__Lattice_OInf__class_OInf(X0),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool))) = c_Orderings_Obot__class_Obot(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4529]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_336,plain,
% 172.91/173.10 ( hAPP(c_Complete__Lattice_OSup__class_OSup(X0),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3871_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4525,plain,
% 172.91/173.10 ( hAPP(c_Complete__Lattice_OSup__class_OSup(X0),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_336]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4526,plain,
% 172.91/173.10 ( ~ class_Complete__Lattice_Ocomplete__lattice(X0)
% 172.91/173.10 | hAPP(c_Complete__Lattice_OSup__class_OSup(X0),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = c_Orderings_Obot__class_Obot(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4525]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_334,plain,
% 172.91/173.10 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 172.91/173.10 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3872_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4521,plain,
% 172.91/173.10 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OAbs(X0)))
% 172.91/173.10 | ~ hBOOL(hAPP(c_InductTermi_OIT,X0)) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_334]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_332,plain,
% 172.91/173.10 ( hBOOL(hAPP(X0,X1)) | ~ hBOOL(c_HOL_Oinduct__forall(X0,X2)) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3873_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4517,plain,
% 172.91/173.10 ( hBOOL(hAPP(X0,X1)) | ~ hBOOL(c_HOL_Oinduct__forall(X0,X2)) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_332]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_330,plain,
% 172.91/173.10 ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X0)),v_x) = c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | ~ class_Orderings_Otop(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3874_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4513,plain,
% 172.91/173.10 ( hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X0)),v_x) = c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | ~ class_Orderings_Otop(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_330]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4514,plain,
% 172.91/173.10 ( ~ class_Orderings_Otop(X0)
% 172.91/173.10 | hAPP(c_Orderings_Otop__class_Otop(tc_fun(t_a,X0)),v_x) = c_Orderings_Otop__class_Otop(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4513]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_328,plain,
% 172.91/173.10 ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X0)),v_x) = c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | ~ class_Orderings_Obot(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3875_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4509,plain,
% 172.91/173.10 ( hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X0)),v_x) = c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | ~ class_Orderings_Obot(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_328]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4510,plain,
% 172.91/173.10 ( ~ class_Orderings_Obot(X0)
% 172.91/173.10 | hAPP(c_Orderings_Obot__class_Obot(tc_fun(t_a,X0)),v_x) = c_Orderings_Obot__class_Obot(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4509]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_326,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),c_Orderings_Otop__class_Otop(X0)),X1) = c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3876_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4505,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),c_Orderings_Otop__class_Otop(X0)),X1) = c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_326]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4506,plain,
% 172.91/173.10 ( ~ class_Lattices_Obounded__lattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),c_Orderings_Otop__class_Otop(X0)),X1) = c_Orderings_Otop__class_Otop(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4505]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_324,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),c_Orderings_Obot__class_Obot(X0)),X1) = c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3877_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4501,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),c_Orderings_Obot__class_Obot(X0)),X1) = c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_324]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4502,plain,
% 172.91/173.10 ( ~ class_Lattices_Obounded__lattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),c_Orderings_Obot__class_Obot(X0)),X1) = c_Orderings_Obot__class_Obot(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4501]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_322,plain,
% 172.91/173.10 ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0)
% 172.91/173.10 | ~ class_Finite__Set_Ofinite_Ofinite(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3878_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4497,plain,
% 172.91/173.10 ( c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0)
% 172.91/173.10 | ~ class_Finite__Set_Ofinite_Ofinite(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_322]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4498,plain,
% 172.91/173.10 ( ~ class_Finite__Set_Ofinite_Ofinite(X0)
% 172.91/173.10 | c_Finite__Set_Ofinite(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4497]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_319,plain,
% 172.91/173.10 ( X0 = X1
% 172.91/173.10 | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X0) != hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
% 172.91/173.10 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3879_2) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4491,plain,
% 172.91/173.10 ( X0 = X1
% 172.91/173.10 | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X0) != hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
% 172.91/173.10 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_319]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4492,plain,
% 172.91/173.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 172.91/173.10 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)
% 172.91/173.10 | X1 = X2 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4491]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_316,plain,
% 172.91/173.10 ( X0 = X1
% 172.91/173.10 | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X0) != hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X2) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3880_2) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4485,plain,
% 172.91/173.10 ( X0 = X1
% 172.91/173.10 | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X0) != hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X2) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_316]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4486,plain,
% 172.91/173.10 ( ~ class_Lattices_Oboolean__algebra(X0)
% 172.91/173.10 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X0),X2)
% 172.91/173.10 | X1 = X2 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4485]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_314,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),c_Orderings_Otop__class_Otop(X0)),X1) = X1
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3881_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4481,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),c_Orderings_Otop__class_Otop(X0)),X1) = X1
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_314]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4482,plain,
% 172.91/173.10 ( ~ class_Lattices_Obounded__lattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),c_Orderings_Otop__class_Otop(X0)),X1) = X1 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4481]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_312,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),c_Orderings_Obot__class_Obot(X0)),X1) = X1
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3882_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4477,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),c_Orderings_Obot__class_Obot(X0)),X1) = X1
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_312]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4478,plain,
% 172.91/173.10 ( ~ class_Lattices_Obounded__lattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),c_Orderings_Obot__class_Obot(X0)),X1) = X1 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4477]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_310,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),c_Orderings_Otop__class_Otop(X0)) = c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3885_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4473,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),c_Orderings_Otop__class_Otop(X0)) = c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_310]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4474,plain,
% 172.91/173.10 ( ~ class_Lattices_Obounded__lattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),c_Orderings_Otop__class_Otop(X0)) = c_Orderings_Otop__class_Otop(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4473]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_308,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),c_Orderings_Obot__class_Obot(X0)) = c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3886_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4469,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),c_Orderings_Obot__class_Obot(X0)) = c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_308]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4470,plain,
% 172.91/173.10 ( ~ class_Lattices_Obounded__lattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),c_Orderings_Obot__class_Obot(X0)) = c_Orderings_Obot__class_Obot(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4469]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_300,plain,
% 172.91/173.10 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = X1
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3890_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4453,plain,
% 172.91/173.10 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = X1
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_300]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4454,plain,
% 172.91/173.10 ( ~ class_Lattices_Oboolean__algebra(X0)
% 172.91/173.10 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = X1 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4453]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_298,plain,
% 172.91/173.10 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = X1
% 172.91/173.10 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3891_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4449,plain,
% 172.91/173.10 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = X1
% 172.91/173.10 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_298]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4450,plain,
% 172.91/173.10 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 172.91/173.10 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),hAPP(c_HOL_Ouminus__class_Ouminus(X0),X1)) = X1 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4449]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_296,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),c_Orderings_Otop__class_Otop(X0)) = X1
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3892_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4445,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),c_Orderings_Otop__class_Otop(X0)) = X1
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_296]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4446,plain,
% 172.91/173.10 ( ~ class_Lattices_Obounded__lattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),c_Orderings_Otop__class_Otop(X0)) = X1 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4445]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_294,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),c_Orderings_Obot__class_Obot(X0)) = X1
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3893_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4441,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),c_Orderings_Obot__class_Obot(X0)) = X1
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_294]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4442,plain,
% 172.91/173.10 ( ~ class_Lattices_Obounded__lattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),c_Orderings_Obot__class_Obot(X0)) = X1 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4441]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_292,plain,
% 172.91/173.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1
% 172.91/173.10 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3905_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4437,plain,
% 172.91/173.10 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1
% 172.91/173.10 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_292]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4438,plain,
% 172.91/173.10 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 172.91/173.10 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4437]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_290,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X1) = X1
% 172.91/173.10 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3906_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4433,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X1) = X1
% 172.91/173.10 | ~ class_Lattices_Olower__semilattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_290]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4434,plain,
% 172.91/173.10 ( ~ class_Lattices_Olower__semilattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(X0),X1),X1) = X1 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4433]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_288,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X1) = X1
% 172.91/173.10 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3907_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4429,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X1) = X1
% 172.91/173.10 | ~ class_Lattices_Oupper__semilattice(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_288]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4430,plain,
% 172.91/173.10 ( ~ class_Lattices_Oupper__semilattice(X0)
% 172.91/173.10 | hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(X0),X1),X1) = X1 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4429]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_286,plain,
% 172.91/173.10 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 172.91/173.10 | ~ c_Lambda_Obeta(X0,X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3911_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4425,plain,
% 172.91/173.10 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 172.91/173.10 | ~ c_Lambda_Obeta(X0,X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_286]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_284,plain,
% 172.91/173.10 ( X0 = X1 | c_Type_Otype_OFun(X0,X2) != c_Type_Otype_OFun(X1,X3) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3912_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4421,plain,
% 172.91/173.10 ( X0 = X1 | c_Type_Otype_OFun(X0,X2) != c_Type_Otype_OFun(X1,X3) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_284]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4422,plain,
% 172.91/173.10 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X0 = X2 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4421]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_282,plain,
% 172.91/173.10 ( X0 = X1 | c_Type_Otype_OFun(X2,X0) != c_Type_Otype_OFun(X3,X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3913_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4417,plain,
% 172.91/173.10 ( X0 = X1 | c_Type_Otype_OFun(X2,X0) != c_Type_Otype_OFun(X3,X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_282]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4418,plain,
% 172.91/173.10 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X1 = X3 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4417]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_279,plain,
% 172.91/173.10 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X0,X1))
% 172.91/173.10 | ~ class_Finite__Set_Ofinite_Ofinite(X0)
% 172.91/173.10 | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3914_2) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4411,plain,
% 172.91/173.10 ( class_Finite__Set_Ofinite_Ofinite(tc_fun(X0,X1))
% 172.91/173.10 | ~ class_Finite__Set_Ofinite_Ofinite(X0)
% 172.91/173.10 | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_279]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_276,plain,
% 172.91/173.10 ( class_Finite__Set_Ofinite_Ofinite(tc_prod(X0,X1))
% 172.91/173.10 | ~ class_Finite__Set_Ofinite_Ofinite(X0)
% 172.91/173.10 | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3915_2) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4405,plain,
% 172.91/173.10 ( class_Finite__Set_Ofinite_Ofinite(tc_prod(X0,X1))
% 172.91/173.10 | ~ class_Finite__Set_Ofinite_Ofinite(X0)
% 172.91/173.10 | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_276]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_274,plain,
% 172.91/173.10 ( class_HOL_Oord(tc_fun(X0,X1)) | ~ class_HOL_Oord(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3917_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4401,plain,
% 172.91/173.10 ( class_HOL_Oord(tc_fun(X0,X1)) | ~ class_HOL_Oord(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_274]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_272,plain,
% 172.91/173.10 ( class_HOL_Ouminus(tc_fun(X0,X1)) | ~ class_HOL_Ouminus(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3918_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4397,plain,
% 172.91/173.10 ( class_HOL_Ouminus(tc_fun(X0,X1)) | ~ class_HOL_Ouminus(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_272]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_270,plain,
% 172.91/173.10 ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3919_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4393,plain,
% 172.91/173.10 ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_270]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_268,plain,
% 172.91/173.10 ( class_Orderings_Otop(tc_fun(X0,X1)) | ~ class_Orderings_Otop(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3920_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4389,plain,
% 172.91/173.10 ( class_Orderings_Otop(tc_fun(X0,X1)) | ~ class_Orderings_Otop(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_268]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_266,plain,
% 172.91/173.10 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3921_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4385,plain,
% 172.91/173.10 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_266]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_264,plain,
% 172.91/173.10 ( class_Lattices_Olattice(tc_fun(X0,X1))
% 172.91/173.10 | ~ class_Lattices_Olattice(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3922_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4381,plain,
% 172.91/173.10 ( class_Lattices_Olattice(tc_fun(X0,X1))
% 172.91/173.10 | ~ class_Lattices_Olattice(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_264]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_262,plain,
% 172.91/173.10 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 172.91/173.10 | ~ class_Orderings_Opreorder(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3923_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4377,plain,
% 172.91/173.10 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 172.91/173.10 | ~ class_Orderings_Opreorder(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_262]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_260,plain,
% 172.91/173.10 ( class_Lattices_Oboolean__algebra(tc_fun(X0,X1))
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3924_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4373,plain,
% 172.91/173.10 ( class_Lattices_Oboolean__algebra(tc_fun(X0,X1))
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_260]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_258,plain,
% 172.91/173.10 ( class_Lattices_Obounded__lattice(tc_fun(X0,X1))
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3925_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4369,plain,
% 172.91/173.10 ( class_Lattices_Obounded__lattice(tc_fun(X0,X1))
% 172.91/173.10 | ~ class_Lattices_Obounded__lattice(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_258]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_256,plain,
% 172.91/173.10 ( class_Lattices_Odistrib__lattice(tc_fun(X0,X1))
% 172.91/173.10 | ~ class_Lattices_Odistrib__lattice(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3926_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4365,plain,
% 172.91/173.10 ( class_Lattices_Odistrib__lattice(tc_fun(X0,X1))
% 172.91/173.10 | ~ class_Lattices_Odistrib__lattice(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_256]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_254,plain,
% 172.91/173.10 ( class_Lattices_Olower__semilattice(tc_fun(X0,X1))
% 172.91/173.10 | ~ class_Lattices_Olattice(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3927_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4361,plain,
% 172.91/173.10 ( class_Lattices_Olower__semilattice(tc_fun(X0,X1))
% 172.91/173.10 | ~ class_Lattices_Olattice(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_254]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_252,plain,
% 172.91/173.10 ( class_Lattices_Oupper__semilattice(tc_fun(X0,X1))
% 172.91/173.10 | ~ class_Lattices_Olattice(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3928_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4357,plain,
% 172.91/173.10 ( class_Lattices_Oupper__semilattice(tc_fun(X0,X1))
% 172.91/173.10 | ~ class_Lattices_Olattice(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_252]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_250,plain,
% 172.91/173.10 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X0,X1))
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3929_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4353,plain,
% 172.91/173.10 ( class_Complete__Lattice_Ocomplete__lattice(tc_fun(X0,X1))
% 172.91/173.10 | ~ class_Complete__Lattice_Ocomplete__lattice(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_250]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_248,plain,
% 172.91/173.10 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_Orderings_Obot__class_Obot(X0)) = c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3930_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4349,plain,
% 172.91/173.10 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_Orderings_Obot__class_Obot(X0)) = c_Orderings_Otop__class_Otop(X0)
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_248]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4350,plain,
% 172.91/173.10 ( ~ class_Lattices_Oboolean__algebra(X0)
% 172.91/173.10 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_Orderings_Obot__class_Obot(X0)) = c_Orderings_Otop__class_Otop(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4349]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_246,plain,
% 172.91/173.10 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_Orderings_Otop__class_Otop(X0)) = c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3931_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4345,plain,
% 172.91/173.10 ( hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_Orderings_Otop__class_Otop(X0)) = c_Orderings_Obot__class_Obot(X0)
% 172.91/173.10 | ~ class_Lattices_Oboolean__algebra(X0) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_246]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4346,plain,
% 172.91/173.10 ( ~ class_Lattices_Oboolean__algebra(X0)
% 172.91/173.10 | hAPP(c_HOL_Ouminus__class_Ouminus(X0),c_Orderings_Otop__class_Otop(X0)) = c_Orderings_Obot__class_Obot(X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4345]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_244,plain,
% 172.91/173.10 ( c_Finite__Set_Ofinite(X0,X1)
% 172.91/173.10 | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3936_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4341,plain,
% 172.91/173.10 ( c_Finite__Set_Ofinite(X0,X1)
% 172.91/173.10 | ~ class_Finite__Set_Ofinite_Ofinite(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_244]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4342,plain,
% 172.91/173.10 ( ~ class_Finite__Set_Ofinite_Ofinite(X0)
% 172.91/173.10 | c_Finite__Set_Ofinite(X1,X0) ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4341]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_242,plain,
% 172.91/173.10 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3942_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4337,plain,
% 172.91/173.10 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_242]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4338,plain,
% 172.91/173.10 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4337]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_240,plain,
% 172.91/173.10 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3943_1) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4333,plain,
% 172.91/173.10 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_240]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4334,plain,
% 172.91/173.10 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 172.91/173.10 inference(rewriting,[status(thm)],[c_4333]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_237,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3643_0) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4327,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_237]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_236,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3773_0) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4325,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_236]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_234,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X0)) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3814_0) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4321,plain,
% 172.91/173.10 ( ~ hBOOL(hAPP(hAPP(c_HOL_Oord__class_Oless(tc_nat),X0),X0)) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_234]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_232,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),X2) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3832_0) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4317,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),X2) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_232]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_231,plain,
% 172.91/173.10 ( c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3867_0) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4315,plain,
% 172.91/173.10 ( c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)) != c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_231]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_230,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3896_0) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4313,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_230]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_229,plain,
% 172.91/173.10 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3897_0) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4311,plain,
% 172.91/173.10 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_229]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_228,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3898_0) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4309,plain,
% 172.91/173.10 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_228]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_227,plain,
% 172.91/173.10 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3899_0) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4307,plain,
% 172.91/173.10 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_227]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_226,plain,
% 172.91/173.10 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3932_0) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4305,plain,
% 172.91/173.10 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_226]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_225,plain,
% 172.91/173.10 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3944_0) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4303,plain,
% 172.91/173.10 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_225]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_224,plain,
% 172.91/173.10 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3945_0) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4301,plain,
% 172.91/173.10 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_224]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_222,plain,
% 172.91/173.10 ( hBOOL(c_List_Olistsp(hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),c_InductTermi_OIT)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst))))))))),v_rs____,tc_Lambda_OdB)) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3181_0) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4297,plain,
% 172.91/173.10 ( hBOOL(c_List_Olistsp(hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_bool,tc_bool),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_and),c_InductTermi_OIT)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_bool),tc_bool,tc_fun(tc_nat,tc_Type_Otype)),c_All(tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_Type_Otype,tc_bool),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_bool,tc_Type_Otype),c_All(tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_bool),tc_Type_Otype),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_bool,tc_Lambda_OdB),c_All(tc_nat))))),hAPP(hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),c_COMBS(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Type_Otype),c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_Type_Otype,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Type_Otype),c_COMBS(tc_nat,tc_bool,tc_bool)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_bool,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_fun(tc_bool,tc_bool)),tc_Type_Otype),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_nat),c_implies)))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_bool))),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype)),tc_fun(tc_nat,tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_nat),c_Type_Otyping)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),hAPP(hAPP(c_COMBB(tc_fun(tc_nat,tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_Type_Otype,tc_fun(tc_nat,tc_fun(tc_nat,tc_Type_Otype))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_nat,tc_Type_Otype,tc_fun(tc_nat,tc_Type_Otype))),c_Type_Oshift(tc_Type_Otype))),v_T____))))))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat)),hAPP(hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies),c_InductTermi_OIT))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_Lambda_OdB),hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),c_COMBS(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_Lambda_OdB,tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool))),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_fun(tc_bool,tc_bool),tc_fun(tc_fun(tc_nat,tc_bool),tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),c_COMBB(tc_bool,tc_bool,tc_nat))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_bool),tc_fun(tc_Lambda_OdB,tc_fun(tc_bool,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),hAPP(c_COMBB(tc_bool,tc_fun(tc_bool,tc_bool),tc_Lambda_OdB),c_implies)),hAPP(hAPP(c_COMBC(tc_fun(tc_nat,tc_Type_Otype),tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_Type_Otype,tc_bool)),tc_fun(tc_Type_Otype,tc_fun(tc_Lambda_OdB,tc_bool)),tc_fun(tc_nat,tc_Type_Otype)),c_COMBC(tc_Lambda_OdB,tc_Type_Otype,tc_bool)),c_Type_Otyping)),v_T____)))))),hAPP(hAPP(c_COMBB(tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_Lambda_OdB)),tc_fun(tc_Lambda_OdB,tc_fun(tc_nat,tc_bool)),tc_Lambda_OdB),hAPP(c_COMBB(tc_fun(tc_nat,tc_Lambda_OdB),tc_fun(tc_nat,tc_bool),tc_Lambda_OdB),hAPP(c_COMBB(tc_Lambda_OdB,tc_bool,tc_nat),c_InductTermi_OIT))),c_Lambda_Osubst))))))))),v_rs____,tc_Lambda_OdB)) ),
% 172.91/173.10 inference(copy,[status(esa)],[c_222]) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_217,plain,
% 172.91/173.10 ( c_Recdef_Oadm__wf(X0,hAPP(hAPP(c_COMBC(tc_fun(X1,X2),tc_fun(X1,X1),tc_fun(X1,X2)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,X2)),tc_fun(tc_fun(X1,X1),tc_fun(X1,X2)),tc_fun(X1,X2)),c_COMBS(X1,X1,X2)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,X2)),tc_fun(X1,tc_fun(X1,X2)),tc_fun(X1,X2)),hAPP(c_COMBB(tc_fun(X1,X2),tc_fun(X1,X2),X1),X3)),hAPP(hAPP(c_COMBC(tc_fun(X1,X2),tc_fun(tc_prod(X1,X1),tc_bool),tc_fun(X1,tc_fun(X1,X2))),c_Recdef_Ocut(X1,X2)),X0)))),c_COMBI(X1)),X1,X2) ),
% 172.91/173.10 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3240_0) ).
% 172.91/173.10
% 172.91/173.10 cnf(c_4291,plain,
% 172.91/173.10 ( c_Recdef_Oadm__wf(X0,hAPP(hAPP(c_COMBC(tc_fun(X1,X2),tc_fun(X1,X1),tc_fun(X1,X2)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,X2)),tc_fun(tc_fun(X1,X1),tc_fun(X1,X2)),tc_fun(X1,X2)),c_COMBS(X1,X1,X2)),hAPP(hAPP(c_COMBB(tc_fun(X1,tc_fun(X1,X2)),tc_fun(X1,tc_fun(X1,X2)),tc_fun(X1,X2)),hAPP(c_COMBB(tc_fun(X1,X2),tc_fun(X1,X2),X1),X3)),hAPP(hAPP(c_COMBC(tc_fun(X1,X2),tc_fun(tc_prod(X1,X1),tc_bool),tc_fun(X1,tc_fun(X1,X2))),c_Recdef_Ocut(X1,X2)),X0)))),c_COMBI(X1)),X1,X2) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_217]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_200,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_ea______),v_ia______),v_T____)),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_Ha______)) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3281_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4273,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_ea______),v_ia______),v_T____)),c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____),v_rs____,tc_Lambda_OdB,tc_Lambda_OdB)),v_T_Ha______)) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_200]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_138,plain,
% 172.91/173.11 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),X3)) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3456_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4210,plain,
% 172.91/173.11 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X2),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),X3)) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_138]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_137,plain,
% 172.91/173.11 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X3)) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3457_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4208,plain,
% 172.91/173.11 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X3)) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X3)) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_137]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_112,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3560_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4182,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))))) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_112]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_111,plain,
% 172.91/173.11 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) = hAPP(hAPP(c_Set_Oinsert(X0),X2),hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3562_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4180,plain,
% 172.91/173.11 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) = hAPP(hAPP(c_Set_Oinsert(X0),X2),hAPP(hAPP(c_Set_Oinsert(X0),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_111]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_96,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2))) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3669_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4162,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X1),X2))) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_96]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_95,plain,
% 172.91/173.11 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),X3)) = hAPP(hAPP(c_Set_Oinsert(X0),X2),hAPP(hAPP(c_Set_Oinsert(X0),X1),X3)) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3670_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4160,plain,
% 172.91/173.11 ( hAPP(hAPP(c_Set_Oinsert(X0),X1),hAPP(hAPP(c_Set_Oinsert(X0),X2),X3)) = hAPP(hAPP(c_Set_Oinsert(X0),X2),hAPP(hAPP(c_Set_Oinsert(X0),X1),X3)) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_95]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_92,plain,
% 172.91/173.11 ( c_Fun_Oinj__on(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X2) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3681_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4156,plain,
% 172.91/173.11 ( c_Fun_Oinj__on(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X1,X2) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_92]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_91,plain,
% 172.91/173.11 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),X2) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X2),X1) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3691_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4154,plain,
% 172.91/173.11 ( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),X2) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X2),X1) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_91]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_90,plain,
% 172.91/173.11 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X1) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3692_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4152,plain,
% 172.91/173.11 ( hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X1),X2) = hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),X2),X1) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_90]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_83,plain,
% 172.91/173.11 ( c_Fun_Oinj__on(c_Fun_Oid(X0),X1,X0,X0) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3717_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4144,plain,
% 172.91/173.11 ( c_Fun_Oinj__on(c_Fun_Oid(X0),X1,X0,X0) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_83]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_82,plain,
% 172.91/173.11 ( c_Fun_Oinj__on(c_COMBI(X0),X1,X0,X0) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3718_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4142,plain,
% 172.91/173.11 ( c_Fun_Oinj__on(c_COMBI(X0),X1,X0,X0) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_82]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_81,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),c_Lambda_OdB_OVar(X1)),hAPP(X0,X1))) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3728_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4140,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,X0),c_Lambda_OdB_OVar(X1)),hAPP(X0,X1))) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_81]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_77,plain,
% 172.91/173.11 ( c_Type_Otypings(hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____),v_as____,v_Ts____) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3733_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4135,plain,
% 172.91/173.11 ( c_Type_Otypings(hAPP(hAPP(hAPP(c_Type_Oshift(tc_Type_Otype),v_e____),v_i____),v_T____),v_as____,v_Ts____) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_77]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_76,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),X1)) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3735_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4133,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X0),X1),X2),X1)) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_76]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_72,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(c_in(X0),X1),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)))) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3774_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4128,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(c_in(X0),X1),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)))) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_72]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_64,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X2)) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3795_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4118,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(c_Transitive__Closure_Ortranclp(X0,X1),X2),X2)) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_64]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_61,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_ea______),v_ua______),v_T____)) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3811_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4113,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_ea______),v_ua______),v_T____)) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_61]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_60,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_e____),v_u____),v_T____)) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3812_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4111,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(hAPP(c_Type_Otyping,v_e____),v_u____),v_T____)) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_60]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_54,plain,
% 172.91/173.11 ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1)) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3827_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4104,plain,
% 172.91/173.11 ( hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1)) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_54]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_53,plain,
% 172.91/173.11 ( hBOOL(c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1)) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3833_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4102,plain,
% 172.91/173.11 ( hBOOL(c_List_Olistsp(X0,c_List_Olist_ONil(X1),X1)) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_53]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_51,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(c_fequal(X0),X1),X1)) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3848_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4099,plain,
% 172.91/173.11 ( hBOOL(hAPP(hAPP(c_fequal(X0),X1),X1)) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_51]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_47,plain,
% 172.91/173.11 ( c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3894_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4094,plain,
% 172.91/173.11 ( c_Finite__Set_Ofinite(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_47]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_37,plain,
% 172.91/173.11 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3916_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4083,plain,
% 172.91/173.11 ( hBOOL(hAPP(c_InductTermi_OIT,c_Lambda_OdB_OVar(X0))) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_37]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_35,plain,
% 172.91/173.11 ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3934_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4079,plain,
% 172.91/173.11 ( hBOOL(hAPP(c_InductTermi_OIT,v_u____)) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_35]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_34,plain,
% 172.91/173.11 ( hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3935_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4077,plain,
% 172.91/173.11 ( hBOOL(hAPP(c_InductTermi_OIT,v_ua______)) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_34]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_28,plain,
% 172.91/173.11 ( class_HOL_Oord(tc_bool) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3946_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4070,plain,
% 172.91/173.11 ( class_HOL_Oord(tc_bool) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_28]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_27,plain,
% 172.91/173.11 ( class_HOL_Ouminus(tc_bool) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3947_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4068,plain,
% 172.91/173.11 ( class_HOL_Ouminus(tc_bool) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_27]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_26,plain,
% 172.91/173.11 ( class_Orderings_Obot(tc_bool) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3948_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4066,plain,
% 172.91/173.11 ( class_Orderings_Obot(tc_bool) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_26]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_25,plain,
% 172.91/173.11 ( class_Orderings_Otop(tc_bool) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3949_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4064,plain,
% 172.91/173.11 ( class_Orderings_Otop(tc_bool) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_25]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_24,plain,
% 172.91/173.11 ( class_Orderings_Oorder(tc_bool) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3950_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4062,plain,
% 172.91/173.11 ( class_Orderings_Oorder(tc_bool) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_24]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_23,plain,
% 172.91/173.11 ( class_Lattices_Olattice(tc_bool) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3951_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4060,plain,
% 172.91/173.11 ( class_Lattices_Olattice(tc_bool) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_23]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_22,plain,
% 172.91/173.11 ( class_Orderings_Opreorder(tc_bool) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3952_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4058,plain,
% 172.91/173.11 ( class_Orderings_Opreorder(tc_bool) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_22]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_21,plain,
% 172.91/173.11 ( class_Finite__Set_Ofinite_Ofinite(tc_bool) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3953_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4056,plain,
% 172.91/173.11 ( class_Finite__Set_Ofinite_Ofinite(tc_bool) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_21]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_20,plain,
% 172.91/173.11 ( class_Lattices_Oboolean__algebra(tc_bool) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3954_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4054,plain,
% 172.91/173.11 ( class_Lattices_Oboolean__algebra(tc_bool) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_20]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_19,plain,
% 172.91/173.11 ( class_Lattices_Obounded__lattice(tc_bool) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3955_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4052,plain,
% 172.91/173.11 ( class_Lattices_Obounded__lattice(tc_bool) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_19]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_18,plain,
% 172.91/173.11 ( class_Lattices_Odistrib__lattice(tc_bool) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3956_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4050,plain,
% 172.91/173.11 ( class_Lattices_Odistrib__lattice(tc_bool) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_18]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_17,plain,
% 172.91/173.11 ( class_Lattices_Olower__semilattice(tc_bool) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3957_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4048,plain,
% 172.91/173.11 ( class_Lattices_Olower__semilattice(tc_bool) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_17]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_16,plain,
% 172.91/173.11 ( class_Lattices_Oupper__semilattice(tc_bool) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3958_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4046,plain,
% 172.91/173.11 ( class_Lattices_Oupper__semilattice(tc_bool) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_16]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_15,plain,
% 172.91/173.11 ( class_Complete__Lattice_Ocomplete__lattice(tc_bool) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3959_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4044,plain,
% 172.91/173.11 ( class_Complete__Lattice_Ocomplete__lattice(tc_bool) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_15]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_14,plain,
% 172.91/173.11 ( class_HOL_Oord(tc_nat) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3960_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4042,plain,
% 172.91/173.11 ( class_HOL_Oord(tc_nat) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_14]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_13,plain,
% 172.91/173.11 ( class_Orderings_Obot(tc_nat) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3961_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4040,plain,
% 172.91/173.11 ( class_Orderings_Obot(tc_nat) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_13]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_12,plain,
% 172.91/173.11 ( class_Orderings_Oorder(tc_nat) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3962_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4038,plain,
% 172.91/173.11 ( class_Orderings_Oorder(tc_nat) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_12]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_11,plain,
% 172.91/173.11 ( class_Lattices_Olattice(tc_nat) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3963_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4036,plain,
% 172.91/173.11 ( class_Lattices_Olattice(tc_nat) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_11]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_10,plain,
% 172.91/173.11 ( class_Orderings_Olinorder(tc_nat) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3964_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4034,plain,
% 172.91/173.11 ( class_Orderings_Olinorder(tc_nat) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_10]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_9,plain,
% 172.91/173.11 ( class_Orderings_Opreorder(tc_nat) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3965_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4032,plain,
% 172.91/173.11 ( class_Orderings_Opreorder(tc_nat) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_9]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_8,plain,
% 172.91/173.11 ( class_Orderings_Owellorder(tc_nat) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3966_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4030,plain,
% 172.91/173.11 ( class_Orderings_Owellorder(tc_nat) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_8]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_7,plain,
% 172.91/173.11 ( class_Lattices_Odistrib__lattice(tc_nat) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3967_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4028,plain,
% 172.91/173.11 ( class_Lattices_Odistrib__lattice(tc_nat) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_7]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_6,plain,
% 172.91/173.11 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3968_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4026,plain,
% 172.91/173.11 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_6]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_5,plain,
% 172.91/173.11 ( class_Lattices_Olower__semilattice(tc_nat) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3969_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4024,plain,
% 172.91/173.11 ( class_Lattices_Olower__semilattice(tc_nat) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_5]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4,plain,
% 172.91/173.11 ( class_Lattices_Oupper__semilattice(tc_nat) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3970_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4022,plain,
% 172.91/173.11 ( class_Lattices_Oupper__semilattice(tc_nat) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_4]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_3,plain,
% 172.91/173.11 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3971_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4020,plain,
% 172.91/173.11 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_3]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_2,plain,
% 172.91/173.11 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3972_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4018,plain,
% 172.91/173.11 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_2]) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_1,plain,
% 172.91/173.11 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 172.91/173.11 file('/export/starexec/sandbox2/tmp/iprover_modulo_ec0c82.p', c_0_3973_0) ).
% 172.91/173.11
% 172.91/173.11 cnf(c_4016,plain,
% 172.91/173.11 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 172.91/173.11 inference(copy,[status(esa)],[c_1]) ).
% 172.91/173.11
% 172.91/173.11
% 172.91/173.11
% 172.91/173.11 % ------ Statistics
% 172.91/173.11
% 172.91/173.11 % ------ General
% 172.91/173.11
% 172.91/173.11 % num_of_input_clauses: 1730
% 172.91/173.11 % num_of_input_neg_conjectures: 1
% 172.91/173.11 % num_of_splits: 0
% 172.91/173.11 % num_of_split_atoms: 0
% 172.91/173.11 % num_of_sem_filtered_clauses: 0
% 172.91/173.11 % num_of_subtypes: 0
% 172.91/173.11 % monotx_restored_types: 0
% 172.91/173.11 % sat_num_of_epr_types: 0
% 172.91/173.11 % sat_num_of_non_cyclic_types: 0
% 172.91/173.11 % sat_guarded_non_collapsed_types: 0
% 172.91/173.11 % is_epr: 0
% 172.91/173.11 % is_horn: 0
% 172.91/173.11 % has_eq: 1
% 172.91/173.11 % num_pure_diseq_elim: 0
% 172.91/173.11 % simp_replaced_by: 0
% 172.91/173.11 % res_preprocessed: 2
% 172.91/173.11 % prep_upred: 0
% 172.91/173.11 % prep_unflattend: 0
% 172.91/173.11 % pred_elim_cands: 0
% 172.91/173.11 % pred_elim: 0
% 172.91/173.11 % pred_elim_cl: 0
% 172.91/173.11 % pred_elim_cycles: 0
% 172.91/173.11 % forced_gc_time: 0
% 172.91/173.11 % gc_basic_clause_elim: 0
% 172.91/173.11 % parsing_time: 0.15
% 172.91/173.11 % sem_filter_time: 0.
% 172.91/173.11 % pred_elim_time: 0.
% 172.91/173.11 % out_proof_time: 0.
% 172.91/173.11 % monotx_time: 0.
% 172.91/173.11 % subtype_inf_time: 0.
% 172.91/173.11 % unif_index_cands_time: 0.
% 172.91/173.11 % unif_index_add_time: 0.001
% 172.91/173.11 % total_time: 22.151
% 172.91/173.11 % num_of_symbols: 175
% 172.91/173.11 % num_of_terms: 8315
% 172.91/173.11
% 172.91/173.11 % ------ Propositional Solver
% 172.91/173.11
% 172.91/173.11 % prop_solver_calls: 1
% 172.91/173.11 % prop_fast_solver_calls: 3
% 172.91/173.11 % prop_num_of_clauses: 1625
% 172.91/173.11 % prop_preprocess_simplified: 5193
% 172.91/173.11 % prop_fo_subsumed: 0
% 172.91/173.11 % prop_solver_time: 0.
% 172.91/173.11 % prop_fast_solver_time: 0.
% 172.91/173.11 % prop_unsat_core_time: 0.
% 172.91/173.11
% 172.91/173.11 % ------ QBF
% 172.91/173.11
% 172.91/173.11 % qbf_q_res: 0
% 172.91/173.11 % qbf_num_tautologies: 0
% 172.91/173.11 % qbf_prep_cycles: 0
% 172.91/173.11
% 172.91/173.11 % ------ BMC1
% 172.91/173.11
% 172.91/173.11 % bmc1_current_bound: -1
% 172.91/173.11 % bmc1_last_solved_bound: -1
% 172.91/173.11 % bmc1_unsat_core_size: -1
% 172.91/173.11 % bmc1_unsat_core_parents_size: -1
% 172.91/173.11 % bmc1_merge_next_fun: 0
% 172.91/173.11 % bmc1_unsat_core_clauses_time: 0.
% 172.91/173.11
% 172.91/173.11 % ------ Instantiation
% 172.91/173.11
% 172.91/173.11 % inst_num_of_clauses: 1491
% 172.91/173.11 % inst_num_in_passive: 0
% 172.91/173.11 % inst_num_in_active: 0
% 172.91/173.11 % inst_num_in_unprocessed: 1730
% 172.91/173.11 % inst_num_of_loops: 0
% 172.91/173.11 % inst_num_of_learning_restarts: 0
% 172.91/173.11 % inst_num_moves_active_passive: 0
% 172.91/173.11 % inst_lit_activity: 0
% 172.91/173.11 % inst_lit_activity_moves: 0
% 172.91/173.11 % inst_num_tautologies: 0
% 172.91/173.11 % inst_num_prop_implied: 0
% 172.91/173.11 % inst_num_existing_simplified: 0
% 172.91/173.11 % inst_num_eq_res_simplified: 0
% 172.91/173.11 % inst_num_child_elim: 0
% 172.91/173.11 % inst_num_of_dismatching_blockings: 0
% 172.91/173.11 % inst_num_of_non_proper_insts: 0
% 172.91/173.11 % inst_num_of_duplicates: 0
% 172.91/173.11 % inst_inst_num_from_inst_to_res: 0
% 172.91/173.11 % inst_dismatching_checking_time: 0.
% 172.91/173.11
% 172.91/173.11 % ------ Resolution
% 172.91/173.11
% 172.91/173.11 % res_num_of_clauses: 1595
% 172.91/173.11 % res_num_in_passive: 0
% 172.91/173.11 % res_num_in_active: 623
% 172.91/173.11 % res_num_of_loops: 2
% 172.91/173.11 % res_forward_subset_subsumed: 945
% 172.91/173.11 % res_backward_subset_subsumed: 0
% 172.91/173.11 % res_forward_subsumed: 0
% 172.91/173.11 % res_backward_subsumed: 0
% 172.91/173.11 % res_forward_subsumption_resolution: 0
% 172.91/173.11 % res_backward_subsumption_resolution: 0
% 172.91/173.11 % res_clause_to_clause_subsumption: 0
% 172.91/173.11 % res_orphan_elimination: 0
% 172.91/173.11 % res_tautology_del: 0
% 172.91/173.11 % res_num_eq_res_simplified: 0
% 172.91/173.11 % res_num_sel_changes: 0
% 172.91/173.11 % res_moves_from_active_to_pass: 0
% 172.91/173.11
% 172.91/173.11 % Status Unknown
% 172.91/173.11 % Last status :
% 172.91/173.11 % SZS status Unknown
%------------------------------------------------------------------------------