0.03/0.11 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : python3 prover_driver.py --schedule_mode external --schedule tfa_schedule --no_cores 8 --problem_version tff /export/starexec/sandbox/benchmark/theBenchmark.p 120 --prover /export/starexec/sandbox/solver/bin/res/iproveropt_z3 0.12/0.34 % Computer : n017.cluster.edu 0.12/0.34 % Model : x86_64 x86_64 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.12/0.34 % Memory : 8042.1875MB 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.12/0.34 % CPULimit : 960 0.12/0.34 % WCLimit : 120 0.12/0.34 % DateTime : Tue Aug 9 01:50:15 EDT 2022 0.12/0.34 % CPUTime : 4.12/1.43 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p 4.12/1.43 4.12/1.43 %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------% 4.12/1.43 4.12/1.43 ------ iProver source info 4.12/1.43 4.12/1.43 git: date: 2022-07-26 19:47:37 +0300 4.12/1.43 git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1 4.12/1.43 git: non_committed_changes: false 4.12/1.43 git: last_make_outside_of_git: false 4.12/1.43 4.12/1.43 ------ Parsing... 4.12/1.43 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim 4.12/1.43 4.12/1.43 4.12/1.43 ------ Preprocessing... sup_sim: 12 pe_s pe_e sup_sim: 0 pe_s pe_e 4.12/1.43 4.12/1.43 ------ Preprocessing...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim 4.12/1.43 gs_s sp: 1 0s gs_e snvd_s sp: 0 0s snvd_e ------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim 4.12/1.43 4.12/1.43 4.12/1.43 ------ Preprocessing... 4.12/1.43 ------ Proving... 4.12/1.43 ------ Problem Properties 4.12/1.43 4.12/1.43 4.12/1.43 clauses 161 4.12/1.43 conjectures 18 4.12/1.43 EPR 19 4.12/1.43 Horn 122 4.12/1.43 unary 56 4.12/1.43 binary 58 4.12/1.43 lits 345 4.12/1.43 lits eq 62 4.12/1.43 fd_pure 2 4.12/1.43 fd_pseudo 0 4.12/1.43 fd_cond 0 4.12/1.43 fd_pseudo_cond 7 4.12/1.43 AC symbols 2 4.12/1.43 4.12/1.43 ------ Schedule dynamic 5 is on 4.12/1.43 4.12/1.43 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10. 4.12/1.43 4.12/1.43 4.12/1.43 ------ 4.12/1.43 Current options: 4.12/1.43 ------ 4.12/1.43 4.12/1.43 ------ Input Options 4.12/1.43 4.12/1.43 --out_options all 4.12/1.43 --tptp_safe_out true 4.12/1.43 --problem_path "" 4.12/1.43 --include_path "" 4.12/1.43 --clausifier res/vclausify_rel 4.12/1.43 --clausifier_options --mode tclausify -t 124.99016785621643 --show_fool true 4.12/1.43 --stdin false 4.12/1.43 --suppress_sat_res false 4.12/1.43 --suppress_unsat_res false 4.12/1.43 --stats_out none 4.12/1.43 --stats_mem false 4.12/1.43 --theory_stats_out false 4.12/1.43 4.12/1.43 ------ General Options 4.12/1.43 4.12/1.43 --fof false 4.12/1.43 --time_out_real 124.99 4.12/1.43 --time_out_virtual -1. 4.12/1.43 --rnd_seed 13 4.12/1.43 --symbol_type_check false 4.12/1.43 --clausify_out false 4.12/1.43 --sig_cnt_out false 4.12/1.43 --trig_cnt_out false 4.12/1.43 --trig_cnt_out_tolerance 1. 4.12/1.43 --trig_cnt_out_sk_spl false 4.12/1.43 --abstr_cl_out false 4.12/1.43 4.12/1.43 ------ Global Options 4.12/1.43 4.12/1.43 --schedule default 4.12/1.43 --add_important_lit false 4.12/1.43 --prop_solver_per_cl 500 4.12/1.43 --subs_bck_mult 8 4.12/1.43 --min_unsat_core false 4.12/1.43 --soft_assumptions false 4.12/1.43 --soft_lemma_size 3 4.12/1.43 --prop_impl_unit_size 0 4.12/1.43 --prop_impl_unit [] 4.12/1.43 --share_sel_clauses true 4.12/1.43 --reset_solvers false 4.12/1.43 --bc_imp_inh [conj_cone] 4.12/1.43 --conj_cone_tolerance 3. 4.12/1.43 --extra_neg_conj none 4.12/1.43 --large_theory_mode true 4.12/1.43 --prolific_symb_bound 200 4.12/1.43 --lt_threshold 2000 4.12/1.43 --clause_weak_htbl true 4.12/1.43 --gc_record_bc_elim false 4.12/1.43 4.12/1.43 ------ Preprocessing Options 4.12/1.43 4.12/1.43 --preprocessing_flag true 4.12/1.43 --time_out_prep_mult 0.1 4.12/1.43 --splitting_mode input 4.12/1.43 --splitting_grd true 4.12/1.43 --splitting_cvd false 4.12/1.43 --splitting_cvd_svl false 4.12/1.43 --splitting_nvd 32 4.12/1.43 --sub_typing false 4.12/1.43 --prep_gs_sim true 4.12/1.43 --prep_unflatten true 4.12/1.43 --prep_res_sim true 4.12/1.43 --prep_sup_sim_all true 4.12/1.43 --prep_sup_sim_sup false 4.12/1.43 --prep_upred true 4.12/1.43 --prep_well_definedness true 4.12/1.43 --prep_sem_filter exhaustive 4.12/1.43 --prep_sem_filter_out false 4.12/1.43 --pred_elim true 4.12/1.43 --res_sim_input true 4.12/1.43 --eq_ax_congr_red true 4.12/1.43 --pure_diseq_elim true 4.12/1.43 --brand_transform false 4.12/1.43 --non_eq_to_eq false 4.12/1.43 --prep_def_merge true 4.12/1.43 --prep_def_merge_prop_impl false 4.12/1.43 --prep_def_merge_mbd true 4.12/1.43 --prep_def_merge_tr_red false 4.12/1.43 --prep_def_merge_tr_cl false 4.12/1.43 --smt_preprocessing false 4.12/1.43 --smt_ac_axioms fast 4.12/1.43 --preprocessed_out false 4.12/1.43 --preprocessed_stats false 4.12/1.43 4.12/1.43 ------ Abstraction refinement Options 4.12/1.43 4.12/1.43 --abstr_ref [] 4.12/1.43 --abstr_ref_prep false 4.12/1.43 --abstr_ref_until_sat false 4.12/1.43 --abstr_ref_sig_restrict funpre 4.12/1.43 --abstr_ref_af_restrict_to_split_sk false 4.12/1.43 --abstr_ref_under [] 4.12/1.43 4.12/1.43 ------ SAT Options 4.12/1.43 4.12/1.43 --sat_mode false 4.12/1.43 --sat_fm_restart_options "" 4.12/1.43 --sat_gr_def false 4.12/1.43 --sat_epr_types true 4.12/1.43 --sat_non_cyclic_types false 4.12/1.43 --sat_finite_models false 4.12/1.43 --sat_fm_lemmas false 4.12/1.43 --sat_fm_prep false 4.12/1.43 --sat_fm_uc_incr true 4.12/1.43 --sat_out_model small 4.12/1.43 --sat_out_clauses false 4.12/1.43 4.12/1.43 ------ QBF Options 4.12/1.43 4.12/1.43 --qbf_mode false 4.12/1.43 --qbf_elim_univ false 4.12/1.43 --qbf_dom_inst none 4.12/1.43 --qbf_dom_pre_inst false 4.12/1.43 --qbf_sk_in false 4.12/1.43 --qbf_pred_elim true 4.12/1.43 --qbf_split 512 4.12/1.43 4.12/1.43 ------ BMC1 Options 4.12/1.43 4.12/1.43 --bmc1_incremental false 4.12/1.43 --bmc1_axioms reachable_all 4.12/1.43 --bmc1_min_bound 0 4.12/1.43 --bmc1_max_bound -1 4.12/1.43 --bmc1_max_bound_default -1 4.12/1.43 --bmc1_symbol_reachability true 4.12/1.43 --bmc1_property_lemmas false 4.12/1.43 --bmc1_k_induction false 4.12/1.43 --bmc1_non_equiv_states false 4.12/1.43 --bmc1_deadlock false 4.12/1.43 --bmc1_ucm false 4.12/1.43 --bmc1_add_unsat_core none 4.12/1.43 --bmc1_unsat_core_children false 4.12/1.43 --bmc1_unsat_core_extrapolate_axioms false 4.12/1.43 --bmc1_out_stat full 4.12/1.43 --bmc1_ground_init false 4.12/1.43 --bmc1_pre_inst_next_state false 4.12/1.43 --bmc1_pre_inst_state false 4.12/1.43 --bmc1_pre_inst_reach_state false 4.12/1.43 --bmc1_out_unsat_core false 4.12/1.43 --bmc1_aig_witness_out false 4.12/1.43 --bmc1_verbose false 4.12/1.43 --bmc1_dump_clauses_tptp false 4.12/1.43 --bmc1_dump_unsat_core_tptp false 4.12/1.43 --bmc1_dump_file - 4.12/1.43 --bmc1_ucm_expand_uc_limit 128 4.12/1.43 --bmc1_ucm_n_expand_iterations 6 4.12/1.43 --bmc1_ucm_extend_mode 1 4.12/1.43 --bmc1_ucm_init_mode 2 4.12/1.43 --bmc1_ucm_cone_mode none 4.12/1.43 --bmc1_ucm_reduced_relation_type 0 4.12/1.43 --bmc1_ucm_relax_model 4 4.12/1.43 --bmc1_ucm_full_tr_after_sat true 4.12/1.43 --bmc1_ucm_expand_neg_assumptions false 4.12/1.43 --bmc1_ucm_layered_model none 4.12/1.43 --bmc1_ucm_max_lemma_size 10 4.12/1.43 4.12/1.43 ------ AIG Options 4.12/1.43 4.12/1.43 --aig_mode false 4.12/1.43 4.12/1.43 ------ Instantiation Options 4.12/1.43 4.12/1.43 --instantiation_flag true 4.12/1.43 --inst_sos_flag false 4.12/1.43 --inst_sos_phase true 4.12/1.43 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] 4.12/1.43 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] 4.12/1.43 --inst_lit_sel_side none 4.12/1.43 --inst_solver_per_active 1400 4.12/1.43 --inst_solver_calls_frac 1. 4.12/1.43 --inst_passive_queue_type priority_queues 4.12/1.43 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] 4.12/1.43 --inst_passive_queues_freq [25;2] 4.12/1.43 --inst_dismatching true 4.12/1.43 --inst_eager_unprocessed_to_passive true 4.12/1.43 --inst_prop_sim_given true 4.12/1.43 --inst_prop_sim_new false 4.12/1.43 --inst_subs_new false 4.12/1.43 --inst_eq_res_simp false 4.12/1.43 --inst_subs_given false 4.12/1.43 --inst_orphan_elimination true 4.12/1.43 --inst_learning_loop_flag true 4.12/1.43 --inst_learning_start 3000 4.12/1.43 --inst_learning_factor 2 4.12/1.43 --inst_start_prop_sim_after_learn 3 4.12/1.43 --inst_sel_renew solver 4.12/1.43 --inst_lit_activity_flag true 4.12/1.43 --inst_restr_to_given false 4.12/1.43 --inst_activity_threshold 500 4.12/1.43 --inst_out_proof true 4.12/1.43 4.12/1.43 ------ Resolution Options 4.12/1.43 4.12/1.43 --resolution_flag false 4.12/1.43 --res_lit_sel adaptive 4.12/1.43 --res_lit_sel_side none 4.12/1.43 --res_ordering kbo 4.12/1.43 --res_to_prop_solver active 4.12/1.43 --res_prop_simpl_new false 4.12/1.43 --res_prop_simpl_given true 4.12/1.43 --res_passive_queue_type priority_queues 4.12/1.43 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] 4.12/1.43 --res_passive_queues_freq [15;5] 4.12/1.43 --res_forward_subs full 4.12/1.43 --res_backward_subs full 4.12/1.43 --res_forward_subs_resolution true 4.12/1.43 --res_backward_subs_resolution true 4.12/1.43 --res_orphan_elimination true 4.12/1.43 --res_time_limit 300. 4.12/1.43 --res_out_proof true 4.12/1.43 4.12/1.43 ------ Superposition Options 4.12/1.43 4.12/1.43 --superposition_flag true 4.12/1.43 --sup_passive_queue_type priority_queues 4.12/1.43 --sup_passive_queues [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]] 4.12/1.43 --sup_passive_queues_freq [8;1;4;4] 4.12/1.43 --demod_completeness_check fast 4.12/1.43 --demod_use_ground true 4.12/1.43 --sup_to_prop_solver passive 4.12/1.43 --sup_prop_simpl_new true 4.12/1.43 --sup_prop_simpl_given true 4.12/1.43 --sup_fun_splitting false 4.12/1.43 --sup_iter_deepening 2 4.12/1.43 --sup_restarts_mult 12 4.12/1.43 --sup_score sim_d_gen 4.12/1.43 --sup_share_score_frac 0.2 4.12/1.43 --sup_share_max_num_cl 500 4.12/1.43 --sup_ordering kbo 4.12/1.43 --sup_symb_ordering invfreq 4.12/1.43 --sup_term_weight default 4.12/1.43 4.12/1.43 ------ Superposition Simplification Setup 4.12/1.43 4.12/1.43 --sup_indices_passive [] 4.12/1.43 --sup_full_triv [SMTSimplify;PropSubs] 4.12/1.43 --sup_full_fw [ACNormalisation;FwDemod;FwGroundJoinability;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes] 4.12/1.43 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 4.12/1.43 --sup_immed_triv [] 4.12/1.43 --sup_immed_fw_main [] 4.12/1.43 --sup_immed_fw_immed [] 4.12/1.43 --sup_immed_bw_main [] 4.12/1.43 --sup_immed_bw_immed [] 4.12/1.43 --sup_input_triv [] 4.12/1.43 --sup_input_fw [FwACDemod;ACNormalisation;FwDemod;FwGroundJoinability;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes] 4.12/1.43 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 4.12/1.43 --sup_full_fixpoint true 4.12/1.43 --sup_main_fixpoint true 4.12/1.43 --sup_immed_fixpoint false 4.12/1.43 --sup_input_fixpoint true 4.12/1.43 --sup_cache_sim none 4.12/1.43 --sup_smt_interval 500 4.12/1.43 --sup_bw_gjoin_interval 0 4.12/1.43 4.12/1.43 ------ Combination Options 4.12/1.43 4.12/1.43 --comb_mode clause_based 4.12/1.43 --comb_inst_mult 5 4.12/1.43 --comb_res_mult 1 4.12/1.43 --comb_sup_mult 8 4.12/1.43 --comb_sup_deep_mult 2 4.12/1.43 4.12/1.43 ------ Debug Options 4.12/1.43 4.12/1.43 --dbg_backtrace false 4.12/1.43 --dbg_dump_prop_clauses false 4.12/1.43 --dbg_dump_prop_clauses_file - 4.12/1.43 --dbg_out_stat false 4.12/1.43 --dbg_just_parse false 4.12/1.43 4.12/1.43 4.12/1.43 4.12/1.43 4.12/1.43 ------ Proving... 4.12/1.43 4.12/1.43 4.12/1.43 % SZS status Theorem for theBenchmark.p 4.12/1.43 4.12/1.43 % SZS output start CNFRefutation for theBenchmark.p 4.12/1.43 4.12/1.43 tff(f16,axiom,( 4.12/1.43 ! [X0 : ty,X16 : uni,X17 : uni,X6 : $int] : (! [X12 : $int] : (($lesseq(0,X12) & $less(X12,X6)) => get(X0,int,X16,t2tb1(X12)) = get(X0,int,X17,t2tb1(X12))) <=> eq_prefix1(X0,X16,X17,X6))), 4.12/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',eq_prefix_def)). 4.12/1.43 4.12/1.43 tff(f81,plain,( 4.12/1.43 ! [X0 : ty,X16 : uni,X17 : uni,X6 : $int] : (! [X12 : $int] : ((~$less(X12,0) & $less(X12,X6)) => get(X0,int,X16,t2tb1(X12)) = get(X0,int,X17,t2tb1(X12))) <=> eq_prefix1(X0,X16,X17,X6))), 4.12/1.43 inference(theory_normalization,[],[f16])). 4.12/1.43 4.12/1.43 tff(f124,plain,( 4.12/1.43 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : (! [X4 : $int] : ((~$less(X4,0) & $less(X4,X3)) => get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4))) <=> eq_prefix1(X0,X1,X2,X3))), 4.12/1.43 inference(rectify,[],[f81])). 4.12/1.43 4.12/1.43 tff(f191,plain,( 4.12/1.43 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : (! [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) | ($less(X4,0) | ~$less(X4,X3))) <=> eq_prefix1(X0,X1,X2,X3))), 4.12/1.43 inference(ennf_transformation,[],[f124])). 4.12/1.43 4.12/1.43 tff(f192,plain,( 4.12/1.43 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : (! [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) | $less(X4,0) | ~$less(X4,X3)) <=> eq_prefix1(X0,X1,X2,X3))), 4.12/1.43 inference(flattening,[],[f191])). 4.12/1.43 4.12/1.43 tff(f241,plain,( 4.12/1.43 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : ((! [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) | $less(X4,0) | ~$less(X4,X3)) | ~eq_prefix1(X0,X1,X2,X3)) & (eq_prefix1(X0,X1,X2,X3) | ? [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) != get(X0,int,X2,t2tb1(X4)) & ~$less(X4,0) & $less(X4,X3))))), 4.12/1.43 inference(nnf_transformation,[],[f192])). 4.12/1.43 4.12/1.43 tff(f242,plain,( 4.12/1.43 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : ((! [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) | $less(X4,0) | ~$less(X4,X3)) | ~eq_prefix1(X0,X1,X2,X3)) & (eq_prefix1(X0,X1,X2,X3) | ? [X5 : $int] : (get(X0,int,X1,t2tb1(X5)) != get(X0,int,X2,t2tb1(X5)) & ~$less(X5,0) & $less(X5,X3))))), 4.12/1.43 inference(rectify,[],[f241])). 4.12/1.43 4.12/1.43 tff(f243,plain,( 4.12/1.43 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : (? [X5 : $int] : (get(X0,int,X1,t2tb1(X5)) != get(X0,int,X2,t2tb1(X5)) & ~$less(X5,0) & $less(X5,X3)) => (get(X0,int,X1,t2tb1(sK3(X0,X1,X2,X3))) != get(X0,int,X2,t2tb1(sK3(X0,X1,X2,X3))) & ~$less(sK3(X0,X1,X2,X3),0) & $less(sK3(X0,X1,X2,X3),X3)))), 4.12/1.43 introduced(choice_axiom,[])). 4.12/1.43 4.12/1.43 tff(f244,plain,( 4.12/1.43 ! [X0 : ty,X1 : uni,X2 : uni,X3 : $int] : ((! [X4 : $int] : (get(X0,int,X1,t2tb1(X4)) = get(X0,int,X2,t2tb1(X4)) | $less(X4,0) | ~$less(X4,X3)) | ~eq_prefix1(X0,X1,X2,X3)) & (eq_prefix1(X0,X1,X2,X3) | (get(X0,int,X1,t2tb1(sK3(X0,X1,X2,X3))) != get(X0,int,X2,t2tb1(sK3(X0,X1,X2,X3))) & ~$less(sK3(X0,X1,X2,X3),0) & $less(sK3(X0,X1,X2,X3),X3))))), 4.12/1.43 inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f242,f243])). 4.12/1.43 4.12/1.43 tff(f316,plain,( 4.12/1.43 ( ! [X2 : uni,X0 : ty,X3 : $int,X1 : uni] : (eq_prefix1(X0,X1,X2,X3) | $less(sK3(X0,X1,X2,X3),X3)) )), 4.12/1.43 inference(cnf_transformation,[],[f244])). 4.12/1.43 4.12/1.43 tff(f317,plain,( 4.12/1.43 ( ! [X2 : uni,X0 : ty,X3 : $int,X1 : uni] : (eq_prefix1(X0,X1,X2,X3) | ~$less(sK3(X0,X1,X2,X3),0)) )), 4.12/1.43 inference(cnf_transformation,[],[f244])). 4.12/1.43 4.12/1.43 tff(f428,plain,( 4.12/1.43 ( ! [X12 : map_int_int] : (~$less(sK20(X12),sK10) | ~eq_prefix1(int,t2tb2(sK17),t2tb2(X12),sK16) | ~partial_solution1(n1,X12)) )), 4.12/1.43 inference(cnf_transformation,[],[f281])). 4.12/1.43 4.12/1.43 tff(f401,plain,( 4.12/1.43 0 = sK10), 4.12/1.43 inference(cnf_transformation,[],[f281])). 4.12/1.43 4.12/1.43 tff(f69,conjecture,( 4.12/1.43 ! [X22 : $int,X4 : $int,X23 : map_int_lpmap_int_intrp,X12 : $int,X24 : map_int_int] : (($lesseq(0,X22) & 0 = X4 & 0 = X12 & n1 = X22) => (($lesseq(0,X4) & ! [X6 : $int] : ($lesseq(0,X6) => (! [X7 : $int] : (($lesseq(0,X7) & $less(X7,X12)) => tb2t1(get(int,int,t2tb2(X24),t2tb1(X7))) != $difference($sum(X6,X12),X7)) <=> ~mem(int,t2tb1(X6),empty(int)))) & partial_solution1(X12,X24) & ! [X6 : $int] : ($lesseq(0,X6) => (~mem(int,t2tb1(X6),empty(int)) <=> ! [X7 : $int] : (($lesseq(0,X7) & $less(X7,X12)) => tb2t1(get(int,int,t2tb2(X24),t2tb1(X7))) != $difference($sum(X6,X7),X12)))) & ! [X6 : $int] : (mem(int,t2tb1(X6),t2tb(below1(X22))) <=> (! [X7 : $int] : (($less(X7,X12) & $lesseq(0,X7)) => tb2t1(get(int,int,t2tb2(X24),t2tb1(X7))) != X6) & $less(X6,n1) & $lesseq(0,X6))) & n1 = $sum(X12,cardinal1(int,t2tb(below1(X22)))) & $lesseq(0,X12)) => ! [X2 : $int,X25 : map_int_lpmap_int_intrp,X26 : $int,X27 : map_int_int] : (($lesseq(0,$difference(X2,X4)) & sorted1(X25,X4,X2) & ! [X16 : map_int_int] : (? [X6 : $int] : ($lesseq(X4,X6) & eq_prefix1(int,t2tb2(X16),get(map(int,int),int,t2tb3(X25),t2tb1(X6)),n1) & $less(X6,X2)) <=> (eq_prefix1(int,t2tb2(X27),t2tb2(X16),X26) & partial_solution1(n1,X16))) & eq_prefix1(map(int,int),t2tb3(X23),t2tb3(X25),X4) & eq_prefix1(int,t2tb2(X24),t2tb2(X27),X26) & X12 = X26) => ($difference(X2,X4) = X2 & sorted1(X25,0,X2) & ! [X16 : map_int_int] : (partial_solution1(n1,X16) <=> ? [X6 : $int] : ($less(X6,$difference(X2,X4)) & eq_prefix1(int,t2tb2(X16),get(map(int,int),int,t2tb3(X25),t2tb1(X6)),n1) & $lesseq(0,X6)))))))), 4.12/1.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p',wP_parameter_queens3)). 4.12/1.43 4.12/1.43 tff(f70,negated_conjecture,( 4.12/1.43 ~! [X22 : $int,X4 : $int,X23 : map_int_lpmap_int_intrp,X12 : $int,X24 : map_int_int] : (($lesseq(0,X22) & 0 = X4 & 0 = X12 & n1 = X22) => (($lesseq(0,X4) & ! [X6 : $int] : ($lesseq(0,X6) => (! [X7 : $int] : (($lesseq(0,X7) & $less(X7,X12)) => tb2t1(get(int,int,t2tb2(X24),t2tb1(X7))) != $difference($sum(X6,X12),X7)) <=> ~mem(int,t2tb1(X6),empty(int)))) & partial_solution1(X12,X24) & ! [X6 : $int] : ($lesseq(0,X6) => (~mem(int,t2tb1(X6),empty(int)) <=> ! [X7 : $int] : (($lesseq(0,X7) & $less(X7,X12)) => tb2t1(get(int,int,t2tb2(X24),t2tb1(X7))) != $difference($sum(X6,X7),X12)))) & ! [X6 : $int] : (mem(int,t2tb1(X6),t2tb(below1(X22))) <=> (! [X7 : $int] : (($less(X7,X12) & $lesseq(0,X7)) => tb2t1(get(int,int,t2tb2(X24),t2tb1(X7))) != X6) & $less(X6,n1) & $lesseq(0,X6))) & n1 = $sum(X12,cardinal1(int,t2tb(below1(X22)))) & $lesseq(0,X12)) => ! [X2 : $int,X25 : map_int_lpmap_int_intrp,X26 : $int,X27 : map_int_int] : (($lesseq(0,$difference(X2,X4)) & sorted1(X25,X4,X2) & ! [X16 : map_int_int] : (? [X6 : $int] : ($lesseq(X4,X6) & eq_prefix1(int,t2tb2(X16),get(map(int,int),int,t2tb3(X25),t2tb1(X6)),n1) & $less(X6,X2)) <=> (eq_prefix1(int,t2tb2(X27),t2tb2(X16),X26) & partial_solution1(n1,X16))) & eq_prefix1(map(int,int),t2tb3(X23),t2tb3(X25),X4) & eq_prefix1(int,t2tb2(X24),t2tb2(X27),X26) & X12 = X26) => ($difference(X2,X4) = X2 & sorted1(X25,0,X2) & ! [X16 : map_int_int] : (partial_solution1(n1,X16) <=> ? [X6 : $int] : ($less(X6,$difference(X2,X4)) & eq_prefix1(int,t2tb2(X16),get(map(int,int),int,t2tb3(X25),t2tb1(X6)),n1) & $lesseq(0,X6)))))))), 4.12/1.43 inference(negated_conjecture,[],[f69])). 4.12/1.43 4.12/1.43 tff(f91,plain,( 4.12/1.43 ~! [X22 : $int,X4 : $int,X23 : map_int_lpmap_int_intrp,X12 : $int,X24 : map_int_int] : ((~$less(X22,0) & 0 = X4 & 0 = X12 & n1 = X22) => ((~$less(X4,0) & ! [X6 : $int] : (~$less(X6,0) => (! [X7 : $int] : ((~$less(X7,0) & $less(X7,X12)) => tb2t1(get(int,int,t2tb2(X24),t2tb1(X7))) != $sum($sum(X6,X12),$uminus(X7))) <=> ~mem(int,t2tb1(X6),empty(int)))) & partial_solution1(X12,X24) & ! [X6 : $int] : (~$less(X6,0) => (~mem(int,t2tb1(X6),empty(int)) <=> ! [X7 : $int] : ((~$less(X7,0) & $less(X7,X12)) => tb2t1(get(int,int,t2tb2(X24),t2tb1(X7))) != $sum($sum(X6,X7),$uminus(X12))))) & ! [X6 : $int] : (mem(int,t2tb1(X6),t2tb(below1(X22))) <=> (! [X7 : $int] : (($less(X7,X12) & ~$less(X7,0)) => tb2t1(get(int,int,t2tb2(X24),t2tb1(X7))) != X6) & $less(X6,n1) & ~$less(X6,0))) & n1 = $sum(X12,cardinal1(int,t2tb(below1(X22)))) & ~$less(X12,0)) => ! [X2 : $int,X25 : map_int_lpmap_int_intrp,X26 : $int,X27 : map_int_int] : ((~$less($sum(X2,$uminus(X4)),0) & sorted1(X25,X4,X2) & ! [X16 : map_int_int] : (? [X6 : $int] : (~$less(X6,X4) & eq_prefix1(int,t2tb2(X16),get(map(int,int),int,t2tb3(X25),t2tb1(X6)),n1) & $less(X6,X2)) <=> (eq_prefix1(int,t2tb2(X27),t2tb2(X16),X26) & partial_solution1(n1,X16))) & eq_prefix1(map(int,int),t2tb3(X23),t2tb3(X25),X4) & eq_prefix1(int,t2tb2(X24),t2tb2(X27),X26) & X12 = X26) => ($sum(X2,$uminus(X4)) = X2 & sorted1(X25,0,X2) & ! [X16 : map_int_int] : (partial_solution1(n1,X16) <=> ? [X6 : $int] : ($less(X6,$sum(X2,$uminus(X4))) & eq_prefix1(int,t2tb2(X16),get(map(int,int),int,t2tb3(X25),t2tb1(X6)),n1) & ~$less(X6,0)))))))), 4.12/1.43 inference(theory_normalization,[],[f70])). 4.12/1.43 4.12/1.43 tff(f173,plain,( 4.12/1.43 ~! [X0 : $int,X1 : $int,X2 : map_int_lpmap_int_intrp,X3 : $int,X4 : map_int_int] : ((~$less(X0,0) & 0 = X1 & 0 = X3 & n1 = X0) => ((~$less(X1,0) & ! [X5 : $int] : (~$less(X5,0) => (! [X6 : $int] : ((~$less(X6,0) & $less(X6,X3)) => tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))) != $sum($sum(X5,X3),$uminus(X6))) <=> ~mem(int,t2tb1(X5),empty(int)))) & partial_solution1(X3,X4) & ! [X7 : $int] : (~$less(X7,0) => (~mem(int,t2tb1(X7),empty(int)) <=> ! [X8 : $int] : ((~$less(X8,0) & $less(X8,X3)) => tb2t1(get(int,int,t2tb2(X4),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X3))))) & ! [X9 : $int] : (mem(int,t2tb1(X9),t2tb(below1(X0))) <=> (! [X10 : $int] : (($less(X10,X3) & ~$less(X10,0)) => tb2t1(get(int,int,t2tb2(X4),t2tb1(X10))) != X9) & $less(X9,n1) & ~$less(X9,0))) & n1 = $sum(X3,cardinal1(int,t2tb(below1(X0)))) & ~$less(X3,0)) => ! [X11 : $int,X12 : map_int_lpmap_int_intrp,X13 : $int,X14 : map_int_int] : ((~$less($sum(X11,$uminus(X1)),0) & sorted1(X12,X1,X11) & ! [X15 : map_int_int] : (? [X16 : $int] : (~$less(X16,X1) & eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(X12),t2tb1(X16)),n1) & $less(X16,X11)) <=> (eq_prefix1(int,t2tb2(X14),t2tb2(X15),X13) & partial_solution1(n1,X15))) & eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X12),X1) & eq_prefix1(int,t2tb2(X4),t2tb2(X14),X13) & X3 = X13) => ($sum(X11,$uminus(X1)) = X11 & sorted1(X12,0,X11) & ! [X17 : map_int_int] : (partial_solution1(n1,X17) <=> ? [X18 : $int] : ($less(X18,$sum(X11,$uminus(X1))) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X12),t2tb1(X18)),n1) & ~$less(X18,0)))))))), 4.12/1.43 inference(rectify,[],[f91])). 4.12/1.43 4.12/1.43 tff(f224,plain,( 4.12/1.43 ? [X0 : $int,X1 : $int,X2 : map_int_lpmap_int_intrp,X3 : $int,X4 : map_int_int] : ((? [X11 : $int,X12 : map_int_lpmap_int_intrp,X13 : $int,X14 : map_int_int] : (($sum(X11,$uminus(X1)) != X11 | ~sorted1(X12,0,X11) | ? [X17 : map_int_int] : (partial_solution1(n1,X17) <~> ? [X18 : $int] : ($less(X18,$sum(X11,$uminus(X1))) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X12),t2tb1(X18)),n1) & ~$less(X18,0)))) & (~$less($sum(X11,$uminus(X1)),0) & sorted1(X12,X1,X11) & ! [X15 : map_int_int] : (? [X16 : $int] : (~$less(X16,X1) & eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(X12),t2tb1(X16)),n1) & $less(X16,X11)) <=> (eq_prefix1(int,t2tb2(X14),t2tb2(X15),X13) & partial_solution1(n1,X15))) & eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X12),X1) & eq_prefix1(int,t2tb2(X4),t2tb2(X14),X13) & X3 = X13)) & (~$less(X1,0) & ! [X5 : $int] : ((! [X6 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))) != $sum($sum(X5,X3),$uminus(X6)) | ($less(X6,0) | ~$less(X6,X3))) <=> ~mem(int,t2tb1(X5),empty(int))) | $less(X5,0)) & partial_solution1(X3,X4) & ! [X7 : $int] : ((~mem(int,t2tb1(X7),empty(int)) <=> ! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X3)) | ($less(X8,0) | ~$less(X8,X3)))) | $less(X7,0)) & ! [X9 : $int] : (mem(int,t2tb1(X9),t2tb(below1(X0))) <=> (! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X10))) != X9 | (~$less(X10,X3) | $less(X10,0))) & $less(X9,n1) & ~$less(X9,0))) & n1 = $sum(X3,cardinal1(int,t2tb(below1(X0)))) & ~$less(X3,0))) & (~$less(X0,0) & 0 = X1 & 0 = X3 & n1 = X0))), 4.12/1.43 inference(ennf_transformation,[],[f173])). 4.12/1.43 4.12/1.43 tff(f225,plain,( 4.12/1.43 ? [X0 : $int,X1 : $int,X2 : map_int_lpmap_int_intrp,X3 : $int,X4 : map_int_int] : (? [X11 : $int,X12 : map_int_lpmap_int_intrp,X13 : $int,X14 : map_int_int] : (($sum(X11,$uminus(X1)) != X11 | ~sorted1(X12,0,X11) | ? [X17 : map_int_int] : (partial_solution1(n1,X17) <~> ? [X18 : $int] : ($less(X18,$sum(X11,$uminus(X1))) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X12),t2tb1(X18)),n1) & ~$less(X18,0)))) & ~$less($sum(X11,$uminus(X1)),0) & sorted1(X12,X1,X11) & ! [X15 : map_int_int] : (? [X16 : $int] : (~$less(X16,X1) & eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(X12),t2tb1(X16)),n1) & $less(X16,X11)) <=> (eq_prefix1(int,t2tb2(X14),t2tb2(X15),X13) & partial_solution1(n1,X15))) & eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X12),X1) & eq_prefix1(int,t2tb2(X4),t2tb2(X14),X13) & X3 = X13) & ~$less(X1,0) & ! [X5 : $int] : ((! [X6 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))) != $sum($sum(X5,X3),$uminus(X6)) | $less(X6,0) | ~$less(X6,X3)) <=> ~mem(int,t2tb1(X5),empty(int))) | $less(X5,0)) & partial_solution1(X3,X4) & ! [X7 : $int] : ((~mem(int,t2tb1(X7),empty(int)) <=> ! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X3)) | $less(X8,0) | ~$less(X8,X3))) | $less(X7,0)) & ! [X9 : $int] : (mem(int,t2tb1(X9),t2tb(below1(X0))) <=> (! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X10))) != X9 | ~$less(X10,X3) | $less(X10,0)) & $less(X9,n1) & ~$less(X9,0))) & n1 = $sum(X3,cardinal1(int,t2tb(below1(X0)))) & ~$less(X3,0) & ~$less(X0,0) & 0 = X1 & 0 = X3 & n1 = X0)), 4.12/1.43 inference(flattening,[],[f224])). 4.12/1.43 4.12/1.43 tff(f270,plain,( 4.12/1.43 ? [X0 : $int,X1 : $int,X2 : map_int_lpmap_int_intrp,X3 : $int,X4 : map_int_int] : (? [X11 : $int,X12 : map_int_lpmap_int_intrp,X13 : $int,X14 : map_int_int] : (($sum(X11,$uminus(X1)) != X11 | ~sorted1(X12,0,X11) | ? [X17 : map_int_int] : ((! [X18 : $int] : (~$less(X18,$sum(X11,$uminus(X1))) | ~eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X12),t2tb1(X18)),n1) | $less(X18,0)) | ~partial_solution1(n1,X17)) & (? [X18 : $int] : ($less(X18,$sum(X11,$uminus(X1))) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X12),t2tb1(X18)),n1) & ~$less(X18,0)) | partial_solution1(n1,X17)))) & ~$less($sum(X11,$uminus(X1)),0) & sorted1(X12,X1,X11) & ! [X15 : map_int_int] : ((? [X16 : $int] : (~$less(X16,X1) & eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(X12),t2tb1(X16)),n1) & $less(X16,X11)) | (~eq_prefix1(int,t2tb2(X14),t2tb2(X15),X13) | ~partial_solution1(n1,X15))) & ((eq_prefix1(int,t2tb2(X14),t2tb2(X15),X13) & partial_solution1(n1,X15)) | ! [X16 : $int] : ($less(X16,X1) | ~eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(X12),t2tb1(X16)),n1) | ~$less(X16,X11)))) & eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X12),X1) & eq_prefix1(int,t2tb2(X4),t2tb2(X14),X13) & X3 = X13) & ~$less(X1,0) & ! [X5 : $int] : (((! [X6 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))) != $sum($sum(X5,X3),$uminus(X6)) | $less(X6,0) | ~$less(X6,X3)) | mem(int,t2tb1(X5),empty(int))) & (~mem(int,t2tb1(X5),empty(int)) | ? [X6 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))) = $sum($sum(X5,X3),$uminus(X6)) & ~$less(X6,0) & $less(X6,X3)))) | $less(X5,0)) & partial_solution1(X3,X4) & ! [X7 : $int] : (((~mem(int,t2tb1(X7),empty(int)) | ? [X8 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X8))) = $sum($sum(X7,X8),$uminus(X3)) & ~$less(X8,0) & $less(X8,X3))) & (! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X3)) | $less(X8,0) | ~$less(X8,X3)) | mem(int,t2tb1(X7),empty(int)))) | $less(X7,0)) & ! [X9 : $int] : ((mem(int,t2tb1(X9),t2tb(below1(X0))) | (? [X10 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X10))) = X9 & $less(X10,X3) & ~$less(X10,0)) | ~$less(X9,n1) | $less(X9,0))) & ((! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X10))) != X9 | ~$less(X10,X3) | $less(X10,0)) & $less(X9,n1) & ~$less(X9,0)) | ~mem(int,t2tb1(X9),t2tb(below1(X0))))) & n1 = $sum(X3,cardinal1(int,t2tb(below1(X0)))) & ~$less(X3,0) & ~$less(X0,0) & 0 = X1 & 0 = X3 & n1 = X0)), 4.12/1.43 inference(nnf_transformation,[],[f225])). 4.12/1.43 4.12/1.43 tff(f271,plain,( 4.12/1.43 ? [X0 : $int,X1 : $int,X2 : map_int_lpmap_int_intrp,X3 : $int,X4 : map_int_int] : (? [X11 : $int,X12 : map_int_lpmap_int_intrp,X13 : $int,X14 : map_int_int] : (($sum(X11,$uminus(X1)) != X11 | ~sorted1(X12,0,X11) | ? [X17 : map_int_int] : ((! [X18 : $int] : (~$less(X18,$sum(X11,$uminus(X1))) | ~eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X12),t2tb1(X18)),n1) | $less(X18,0)) | ~partial_solution1(n1,X17)) & (? [X18 : $int] : ($less(X18,$sum(X11,$uminus(X1))) & eq_prefix1(int,t2tb2(X17),get(map(int,int),int,t2tb3(X12),t2tb1(X18)),n1) & ~$less(X18,0)) | partial_solution1(n1,X17)))) & ~$less($sum(X11,$uminus(X1)),0) & sorted1(X12,X1,X11) & ! [X15 : map_int_int] : ((? [X16 : $int] : (~$less(X16,X1) & eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(X12),t2tb1(X16)),n1) & $less(X16,X11)) | ~eq_prefix1(int,t2tb2(X14),t2tb2(X15),X13) | ~partial_solution1(n1,X15)) & ((eq_prefix1(int,t2tb2(X14),t2tb2(X15),X13) & partial_solution1(n1,X15)) | ! [X16 : $int] : ($less(X16,X1) | ~eq_prefix1(int,t2tb2(X15),get(map(int,int),int,t2tb3(X12),t2tb1(X16)),n1) | ~$less(X16,X11)))) & eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X12),X1) & eq_prefix1(int,t2tb2(X4),t2tb2(X14),X13) & X3 = X13) & ~$less(X1,0) & ! [X5 : $int] : (((! [X6 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))) != $sum($sum(X5,X3),$uminus(X6)) | $less(X6,0) | ~$less(X6,X3)) | mem(int,t2tb1(X5),empty(int))) & (~mem(int,t2tb1(X5),empty(int)) | ? [X6 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X6))) = $sum($sum(X5,X3),$uminus(X6)) & ~$less(X6,0) & $less(X6,X3)))) | $less(X5,0)) & partial_solution1(X3,X4) & ! [X7 : $int] : (((~mem(int,t2tb1(X7),empty(int)) | ? [X8 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X8))) = $sum($sum(X7,X8),$uminus(X3)) & ~$less(X8,0) & $less(X8,X3))) & (! [X8 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X8))) != $sum($sum(X7,X8),$uminus(X3)) | $less(X8,0) | ~$less(X8,X3)) | mem(int,t2tb1(X7),empty(int)))) | $less(X7,0)) & ! [X9 : $int] : ((mem(int,t2tb1(X9),t2tb(below1(X0))) | ? [X10 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X10))) = X9 & $less(X10,X3) & ~$less(X10,0)) | ~$less(X9,n1) | $less(X9,0)) & ((! [X10 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X10))) != X9 | ~$less(X10,X3) | $less(X10,0)) & $less(X9,n1) & ~$less(X9,0)) | ~mem(int,t2tb1(X9),t2tb(below1(X0))))) & n1 = $sum(X3,cardinal1(int,t2tb(below1(X0)))) & ~$less(X3,0) & ~$less(X0,0) & 0 = X1 & 0 = X3 & n1 = X0)), 4.12/1.43 inference(flattening,[],[f270])). 4.12/1.43 4.12/1.43 tff(f272,plain,( 4.12/1.43 ? [X0 : $int,X1 : $int,X2 : map_int_lpmap_int_intrp,X3 : $int,X4 : map_int_int] : (? [X5 : $int,X6 : map_int_lpmap_int_intrp,X7 : $int,X8 : map_int_int] : (($sum(X5,$uminus(X1)) != X5 | ~sorted1(X6,0,X5) | ? [X9 : map_int_int] : ((! [X10 : $int] : (~$less(X10,$sum(X5,$uminus(X1))) | ~eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(X6),t2tb1(X10)),n1) | $less(X10,0)) | ~partial_solution1(n1,X9)) & (? [X11 : $int] : ($less(X11,$sum(X5,$uminus(X1))) & eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(X6),t2tb1(X11)),n1) & ~$less(X11,0)) | partial_solution1(n1,X9)))) & ~$less($sum(X5,$uminus(X1)),0) & sorted1(X6,X1,X5) & ! [X12 : map_int_int] : ((? [X13 : $int] : (~$less(X13,X1) & eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(X6),t2tb1(X13)),n1) & $less(X13,X5)) | ~eq_prefix1(int,t2tb2(X8),t2tb2(X12),X7) | ~partial_solution1(n1,X12)) & ((eq_prefix1(int,t2tb2(X8),t2tb2(X12),X7) & partial_solution1(n1,X12)) | ! [X14 : $int] : ($less(X14,X1) | ~eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(X6),t2tb1(X14)),n1) | ~$less(X14,X5)))) & eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X6),X1) & eq_prefix1(int,t2tb2(X4),t2tb2(X8),X7) & X3 = X7) & ~$less(X1,0) & ! [X15 : $int] : (((! [X16 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X16))) != $sum($sum(X15,X3),$uminus(X16)) | $less(X16,0) | ~$less(X16,X3)) | mem(int,t2tb1(X15),empty(int))) & (~mem(int,t2tb1(X15),empty(int)) | ? [X17 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X17))) = $sum($sum(X15,X3),$uminus(X17)) & ~$less(X17,0) & $less(X17,X3)))) | $less(X15,0)) & partial_solution1(X3,X4) & ! [X18 : $int] : (((~mem(int,t2tb1(X18),empty(int)) | ? [X19 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X19))) = $sum($sum(X18,X19),$uminus(X3)) & ~$less(X19,0) & $less(X19,X3))) & (! [X20 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X20))) != $sum($sum(X18,X20),$uminus(X3)) | $less(X20,0) | ~$less(X20,X3)) | mem(int,t2tb1(X18),empty(int)))) | $less(X18,0)) & ! [X21 : $int] : ((mem(int,t2tb1(X21),t2tb(below1(X0))) | ? [X22 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X22))) = X21 & $less(X22,X3) & ~$less(X22,0)) | ~$less(X21,n1) | $less(X21,0)) & ((! [X23 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X23))) != X21 | ~$less(X23,X3) | $less(X23,0)) & $less(X21,n1) & ~$less(X21,0)) | ~mem(int,t2tb1(X21),t2tb(below1(X0))))) & n1 = $sum(X3,cardinal1(int,t2tb(below1(X0)))) & ~$less(X3,0) & ~$less(X0,0) & 0 = X1 & 0 = X3 & n1 = X0)), 4.12/1.43 inference(rectify,[],[f271])). 4.12/1.43 4.12/1.43 tff(f280,plain,( 4.12/1.43 ! [X21 : $int] : (? [X22 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X22))) = X21 & $less(X22,sK12) & ~$less(X22,0)) => (tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK23(X21)))) = X21 & $less(sK23(X21),sK12) & ~$less(sK23(X21),0)))), 4.12/1.43 introduced(choice_axiom,[])). 4.12/1.43 4.12/1.43 tff(f279,plain,( 4.12/1.43 ! [X18 : $int] : (? [X19 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X19))) = $sum($sum(X18,X19),$uminus(sK12)) & ~$less(X19,0) & $less(X19,sK12)) => (tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK22(X18)))) = $sum($sum(X18,sK22(X18)),$uminus(sK12)) & ~$less(sK22(X18),0) & $less(sK22(X18),sK12)))), 4.12/1.43 introduced(choice_axiom,[])). 4.12/1.43 4.12/1.43 tff(f278,plain,( 4.12/1.43 ! [X15 : $int] : (? [X17 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X17))) = $sum($sum(X15,sK12),$uminus(X17)) & ~$less(X17,0) & $less(X17,sK12)) => (tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK21(X15)))) = $sum($sum(X15,sK12),$uminus(sK21(X15))) & ~$less(sK21(X15),0) & $less(sK21(X15),sK12)))), 4.12/1.43 introduced(choice_axiom,[])). 4.12/1.43 4.12/1.43 tff(f277,plain,( 4.12/1.43 ! [X12 : map_int_int] : (? [X13 : $int] : (~$less(X13,sK10) & eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK15),t2tb1(X13)),n1) & $less(X13,sK14)) => (~$less(sK20(X12),sK10) & eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK15),t2tb1(sK20(X12))),n1) & $less(sK20(X12),sK14)))), 4.12/1.44 introduced(choice_axiom,[])). 4.12/1.44 4.12/1.44 tff(f276,plain,( 4.12/1.44 ? [X11 : $int] : ($less(X11,$sum(sK14,$uminus(sK10))) & eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(X11)),n1) & ~$less(X11,0)) => ($less(sK19,$sum(sK14,$uminus(sK10))) & eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(sK19)),n1) & ~$less(sK19,0))), 4.12/1.44 introduced(choice_axiom,[])). 4.12/1.44 4.12/1.44 tff(f275,plain,( 4.12/1.44 ? [X9 : map_int_int] : ((! [X10 : $int] : (~$less(X10,$sum(sK14,$uminus(sK10))) | ~eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(sK15),t2tb1(X10)),n1) | $less(X10,0)) | ~partial_solution1(n1,X9)) & (? [X11 : $int] : ($less(X11,$sum(sK14,$uminus(sK10))) & eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(sK15),t2tb1(X11)),n1) & ~$less(X11,0)) | partial_solution1(n1,X9))) => ((! [X10 : $int] : (~$less(X10,$sum(sK14,$uminus(sK10))) | ~eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(X10)),n1) | $less(X10,0)) | ~partial_solution1(n1,sK18)) & (? [X11 : $int] : ($less(X11,$sum(sK14,$uminus(sK10))) & eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(X11)),n1) & ~$less(X11,0)) | partial_solution1(n1,sK18)))), 4.12/1.44 introduced(choice_axiom,[])). 4.12/1.44 4.12/1.44 tff(f274,plain,( 4.12/1.44 ? [X8 : map_int_int,X7 : $int,X6 : map_int_lpmap_int_intrp,X5 : $int] : (($sum(X5,$uminus(sK10)) != X5 | ~sorted1(X6,0,X5) | ? [X9 : map_int_int] : ((! [X10 : $int] : (~$less(X10,$sum(X5,$uminus(sK10))) | ~eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(X6),t2tb1(X10)),n1) | $less(X10,0)) | ~partial_solution1(n1,X9)) & (? [X11 : $int] : ($less(X11,$sum(X5,$uminus(sK10))) & eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(X6),t2tb1(X11)),n1) & ~$less(X11,0)) | partial_solution1(n1,X9)))) & ~$less($sum(X5,$uminus(sK10)),0) & sorted1(X6,sK10,X5) & ! [X12 : map_int_int] : ((? [X13 : $int] : (~$less(X13,sK10) & eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(X6),t2tb1(X13)),n1) & $less(X13,X5)) | ~eq_prefix1(int,t2tb2(X8),t2tb2(X12),X7) | ~partial_solution1(n1,X12)) & ((eq_prefix1(int,t2tb2(X8),t2tb2(X12),X7) & partial_solution1(n1,X12)) | ! [X14 : $int] : ($less(X14,sK10) | ~eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(X6),t2tb1(X14)),n1) | ~$less(X14,X5)))) & eq_prefix1(map(int,int),t2tb3(sK11),t2tb3(X6),sK10) & eq_prefix1(int,t2tb2(sK13),t2tb2(X8),X7) & sK12 = X7) => ((sK14 != $sum(sK14,$uminus(sK10)) | ~sorted1(sK15,0,sK14) | ? [X9 : map_int_int] : ((! [X10 : $int] : (~$less(X10,$sum(sK14,$uminus(sK10))) | ~eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(sK15),t2tb1(X10)),n1) | $less(X10,0)) | ~partial_solution1(n1,X9)) & (? [X11 : $int] : ($less(X11,$sum(sK14,$uminus(sK10))) & eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(sK15),t2tb1(X11)),n1) & ~$less(X11,0)) | partial_solution1(n1,X9)))) & ~$less($sum(sK14,$uminus(sK10)),0) & sorted1(sK15,sK10,sK14) & ! [X12 : map_int_int] : ((? [X13 : $int] : (~$less(X13,sK10) & eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK15),t2tb1(X13)),n1) & $less(X13,sK14)) | ~eq_prefix1(int,t2tb2(sK17),t2tb2(X12),sK16) | ~partial_solution1(n1,X12)) & ((eq_prefix1(int,t2tb2(sK17),t2tb2(X12),sK16) & partial_solution1(n1,X12)) | ! [X14 : $int] : ($less(X14,sK10) | ~eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK15),t2tb1(X14)),n1) | ~$less(X14,sK14)))) & eq_prefix1(map(int,int),t2tb3(sK11),t2tb3(sK15),sK10) & eq_prefix1(int,t2tb2(sK13),t2tb2(sK17),sK16) & sK12 = sK16)), 4.12/1.44 introduced(choice_axiom,[])). 4.12/1.44 4.12/1.44 tff(f273,plain,( 4.12/1.44 ? [X0 : $int,X1 : $int,X2 : map_int_lpmap_int_intrp,X3 : $int,X4 : map_int_int] : (? [X5 : $int,X6 : map_int_lpmap_int_intrp,X7 : $int,X8 : map_int_int] : (($sum(X5,$uminus(X1)) != X5 | ~sorted1(X6,0,X5) | ? [X9 : map_int_int] : ((! [X10 : $int] : (~$less(X10,$sum(X5,$uminus(X1))) | ~eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(X6),t2tb1(X10)),n1) | $less(X10,0)) | ~partial_solution1(n1,X9)) & (? [X11 : $int] : ($less(X11,$sum(X5,$uminus(X1))) & eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(X6),t2tb1(X11)),n1) & ~$less(X11,0)) | partial_solution1(n1,X9)))) & ~$less($sum(X5,$uminus(X1)),0) & sorted1(X6,X1,X5) & ! [X12 : map_int_int] : ((? [X13 : $int] : (~$less(X13,X1) & eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(X6),t2tb1(X13)),n1) & $less(X13,X5)) | ~eq_prefix1(int,t2tb2(X8),t2tb2(X12),X7) | ~partial_solution1(n1,X12)) & ((eq_prefix1(int,t2tb2(X8),t2tb2(X12),X7) & partial_solution1(n1,X12)) | ! [X14 : $int] : ($less(X14,X1) | ~eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(X6),t2tb1(X14)),n1) | ~$less(X14,X5)))) & eq_prefix1(map(int,int),t2tb3(X2),t2tb3(X6),X1) & eq_prefix1(int,t2tb2(X4),t2tb2(X8),X7) & X3 = X7) & ~$less(X1,0) & ! [X15 : $int] : (((! [X16 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X16))) != $sum($sum(X15,X3),$uminus(X16)) | $less(X16,0) | ~$less(X16,X3)) | mem(int,t2tb1(X15),empty(int))) & (~mem(int,t2tb1(X15),empty(int)) | ? [X17 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X17))) = $sum($sum(X15,X3),$uminus(X17)) & ~$less(X17,0) & $less(X17,X3)))) | $less(X15,0)) & partial_solution1(X3,X4) & ! [X18 : $int] : (((~mem(int,t2tb1(X18),empty(int)) | ? [X19 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X19))) = $sum($sum(X18,X19),$uminus(X3)) & ~$less(X19,0) & $less(X19,X3))) & (! [X20 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X20))) != $sum($sum(X18,X20),$uminus(X3)) | $less(X20,0) | ~$less(X20,X3)) | mem(int,t2tb1(X18),empty(int)))) | $less(X18,0)) & ! [X21 : $int] : ((mem(int,t2tb1(X21),t2tb(below1(X0))) | ? [X22 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X22))) = X21 & $less(X22,X3) & ~$less(X22,0)) | ~$less(X21,n1) | $less(X21,0)) & ((! [X23 : $int] : (tb2t1(get(int,int,t2tb2(X4),t2tb1(X23))) != X21 | ~$less(X23,X3) | $less(X23,0)) & $less(X21,n1) & ~$less(X21,0)) | ~mem(int,t2tb1(X21),t2tb(below1(X0))))) & n1 = $sum(X3,cardinal1(int,t2tb(below1(X0)))) & ~$less(X3,0) & ~$less(X0,0) & 0 = X1 & 0 = X3 & n1 = X0) => (? [X8 : map_int_int,X7 : $int,X6 : map_int_lpmap_int_intrp,X5 : $int] : (($sum(X5,$uminus(sK10)) != X5 | ~sorted1(X6,0,X5) | ? [X9 : map_int_int] : ((! [X10 : $int] : (~$less(X10,$sum(X5,$uminus(sK10))) | ~eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(X6),t2tb1(X10)),n1) | $less(X10,0)) | ~partial_solution1(n1,X9)) & (? [X11 : $int] : ($less(X11,$sum(X5,$uminus(sK10))) & eq_prefix1(int,t2tb2(X9),get(map(int,int),int,t2tb3(X6),t2tb1(X11)),n1) & ~$less(X11,0)) | partial_solution1(n1,X9)))) & ~$less($sum(X5,$uminus(sK10)),0) & sorted1(X6,sK10,X5) & ! [X12 : map_int_int] : ((? [X13 : $int] : (~$less(X13,sK10) & eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(X6),t2tb1(X13)),n1) & $less(X13,X5)) | ~eq_prefix1(int,t2tb2(X8),t2tb2(X12),X7) | ~partial_solution1(n1,X12)) & ((eq_prefix1(int,t2tb2(X8),t2tb2(X12),X7) & partial_solution1(n1,X12)) | ! [X14 : $int] : ($less(X14,sK10) | ~eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(X6),t2tb1(X14)),n1) | ~$less(X14,X5)))) & eq_prefix1(map(int,int),t2tb3(sK11),t2tb3(X6),sK10) & eq_prefix1(int,t2tb2(sK13),t2tb2(X8),X7) & sK12 = X7) & ~$less(sK10,0) & ! [X15 : $int] : (((! [X16 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) != $sum($sum(X15,sK12),$uminus(X16)) | $less(X16,0) | ~$less(X16,sK12)) | mem(int,t2tb1(X15),empty(int))) & (~mem(int,t2tb1(X15),empty(int)) | ? [X17 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X17))) = $sum($sum(X15,sK12),$uminus(X17)) & ~$less(X17,0) & $less(X17,sK12)))) | $less(X15,0)) & partial_solution1(sK12,sK13) & ! [X18 : $int] : (((~mem(int,t2tb1(X18),empty(int)) | ? [X19 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X19))) = $sum($sum(X18,X19),$uminus(sK12)) & ~$less(X19,0) & $less(X19,sK12))) & (! [X20 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X20))) != $sum($sum(X18,X20),$uminus(sK12)) | $less(X20,0) | ~$less(X20,sK12)) | mem(int,t2tb1(X18),empty(int)))) | $less(X18,0)) & ! [X21 : $int] : ((mem(int,t2tb1(X21),t2tb(below1(sK9))) | ? [X22 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X22))) = X21 & $less(X22,sK12) & ~$less(X22,0)) | ~$less(X21,n1) | $less(X21,0)) & ((! [X23 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X23))) != X21 | ~$less(X23,sK12) | $less(X23,0)) & $less(X21,n1) & ~$less(X21,0)) | ~mem(int,t2tb1(X21),t2tb(below1(sK9))))) & n1 = $sum(sK12,cardinal1(int,t2tb(below1(sK9)))) & ~$less(sK12,0) & ~$less(sK9,0) & 0 = sK10 & 0 = sK12 & n1 = sK9)), 4.12/1.44 introduced(choice_axiom,[])). 4.12/1.44 4.12/1.44 tff(f281,plain,( 4.12/1.44 ((sK14 != $sum(sK14,$uminus(sK10)) | ~sorted1(sK15,0,sK14) | ((! [X10 : $int] : (~$less(X10,$sum(sK14,$uminus(sK10))) | ~eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(X10)),n1) | $less(X10,0)) | ~partial_solution1(n1,sK18)) & (($less(sK19,$sum(sK14,$uminus(sK10))) & eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(sK19)),n1) & ~$less(sK19,0)) | partial_solution1(n1,sK18)))) & ~$less($sum(sK14,$uminus(sK10)),0) & sorted1(sK15,sK10,sK14) & ! [X12 : map_int_int] : (((~$less(sK20(X12),sK10) & eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK15),t2tb1(sK20(X12))),n1) & $less(sK20(X12),sK14)) | ~eq_prefix1(int,t2tb2(sK17),t2tb2(X12),sK16) | ~partial_solution1(n1,X12)) & ((eq_prefix1(int,t2tb2(sK17),t2tb2(X12),sK16) & partial_solution1(n1,X12)) | ! [X14 : $int] : ($less(X14,sK10) | ~eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK15),t2tb1(X14)),n1) | ~$less(X14,sK14)))) & eq_prefix1(map(int,int),t2tb3(sK11),t2tb3(sK15),sK10) & eq_prefix1(int,t2tb2(sK13),t2tb2(sK17),sK16) & sK12 = sK16) & ~$less(sK10,0) & ! [X15 : $int] : (((! [X16 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X16))) != $sum($sum(X15,sK12),$uminus(X16)) | $less(X16,0) | ~$less(X16,sK12)) | mem(int,t2tb1(X15),empty(int))) & (~mem(int,t2tb1(X15),empty(int)) | (tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK21(X15)))) = $sum($sum(X15,sK12),$uminus(sK21(X15))) & ~$less(sK21(X15),0) & $less(sK21(X15),sK12)))) | $less(X15,0)) & partial_solution1(sK12,sK13) & ! [X18 : $int] : (((~mem(int,t2tb1(X18),empty(int)) | (tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK22(X18)))) = $sum($sum(X18,sK22(X18)),$uminus(sK12)) & ~$less(sK22(X18),0) & $less(sK22(X18),sK12))) & (! [X20 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X20))) != $sum($sum(X18,X20),$uminus(sK12)) | $less(X20,0) | ~$less(X20,sK12)) | mem(int,t2tb1(X18),empty(int)))) | $less(X18,0)) & ! [X21 : $int] : ((mem(int,t2tb1(X21),t2tb(below1(sK9))) | (tb2t1(get(int,int,t2tb2(sK13),t2tb1(sK23(X21)))) = X21 & $less(sK23(X21),sK12) & ~$less(sK23(X21),0)) | ~$less(X21,n1) | $less(X21,0)) & ((! [X23 : $int] : (tb2t1(get(int,int,t2tb2(sK13),t2tb1(X23))) != X21 | ~$less(X23,sK12) | $less(X23,0)) & $less(X21,n1) & ~$less(X21,0)) | ~mem(int,t2tb1(X21),t2tb(below1(sK9))))) & n1 = $sum(sK12,cardinal1(int,t2tb(below1(sK9)))) & ~$less(sK12,0) & ~$less(sK9,0) & 0 = sK10 & 0 = sK12 & n1 = sK9), 4.12/1.44 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13,sK14,sK15,sK16,sK17,sK18,sK19,sK20,sK21,sK22,sK23])],[f272,f280,f279,f278,f277,f276,f275,f274,f273])). 4.12/1.44 4.12/1.44 tff(f399,plain,( 4.12/1.44 n1 = sK9), 4.12/1.44 inference(cnf_transformation,[],[f281])). 4.12/1.44 4.12/1.44 tff(f459,plain,( 4.12/1.44 ( ! [X12 : map_int_int] : (~$less(sK20(X12),0) | ~eq_prefix1(int,t2tb2(sK17),t2tb2(X12),sK16) | ~partial_solution1(sK9,X12)) )), 4.12/1.44 inference(definition_unfolding,[],[f428,f401,f399])). 4.12/1.44 4.12/1.44 tff(f400,plain,( 4.12/1.44 0 = sK12), 4.12/1.44 inference(cnf_transformation,[],[f281])). 4.12/1.44 4.12/1.44 tff(f421,plain,( 4.12/1.44 sK12 = sK16), 4.12/1.44 inference(cnf_transformation,[],[f281])). 4.12/1.44 4.12/1.44 tff(f480,plain,( 4.12/1.44 0 = sK16), 4.12/1.44 inference(definition_unfolding,[],[f400,f421])). 4.12/1.44 4.12/1.44 tff(f426,plain,( 4.12/1.44 ( ! [X12 : map_int_int] : ($less(sK20(X12),sK14) | ~eq_prefix1(int,t2tb2(sK17),t2tb2(X12),sK16) | ~partial_solution1(n1,X12)) )), 4.12/1.44 inference(cnf_transformation,[],[f281])). 4.12/1.44 4.12/1.44 tff(f461,plain,( 4.12/1.44 ( ! [X12 : map_int_int] : ($less(sK20(X12),sK14) | ~eq_prefix1(int,t2tb2(sK17),t2tb2(X12),sK16) | ~partial_solution1(sK9,X12)) )), 4.12/1.44 inference(definition_unfolding,[],[f426,f399])). 4.12/1.44 4.12/1.44 tff(f427,plain,( 4.12/1.44 ( ! [X12 : map_int_int] : (eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK15),t2tb1(sK20(X12))),n1) | ~eq_prefix1(int,t2tb2(sK17),t2tb2(X12),sK16) | ~partial_solution1(n1,X12)) )), 4.12/1.44 inference(cnf_transformation,[],[f281])). 4.12/1.44 4.12/1.44 tff(f460,plain,( 4.12/1.44 ( ! [X12 : map_int_int] : (eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK15),t2tb1(sK20(X12))),sK9) | ~eq_prefix1(int,t2tb2(sK17),t2tb2(X12),sK16) | ~partial_solution1(sK9,X12)) )), 4.12/1.44 inference(definition_unfolding,[],[f427,f399,f399])). 4.12/1.44 4.12/1.44 tff(f434,plain,( 4.12/1.44 ( ! [X10 : $int] : (sK14 != $sum(sK14,$uminus(sK10)) | ~sorted1(sK15,0,sK14) | ~$less(X10,$sum(sK14,$uminus(sK10))) | ~eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(X10)),n1) | $less(X10,0) | ~partial_solution1(n1,sK18)) )), 4.12/1.44 inference(cnf_transformation,[],[f281])). 4.12/1.44 4.12/1.44 tff(f453,plain,( 4.12/1.44 ( ! [X10 : $int] : (sK14 != $sum(sK14,$uminus(0)) | ~sorted1(sK15,0,sK14) | ~$less(X10,$sum(sK14,$uminus(0))) | ~eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(X10)),sK9) | $less(X10,0) | ~partial_solution1(sK9,sK18)) )), 4.12/1.44 inference(definition_unfolding,[],[f434,f401,f401,f399,f399])). 4.12/1.44 4.12/1.44 tff(f429,plain,( 4.12/1.44 sorted1(sK15,sK10,sK14)), 4.12/1.44 inference(cnf_transformation,[],[f281])). 4.12/1.44 4.12/1.44 tff(f458,plain,( 4.12/1.44 sorted1(sK15,0,sK14)), 4.12/1.44 inference(definition_unfolding,[],[f429,f401])). 4.12/1.44 4.12/1.44 tff(f431,plain,( 4.12/1.44 sK14 != $sum(sK14,$uminus(sK10)) | ~sorted1(sK15,0,sK14) | ~$less(sK19,0) | partial_solution1(n1,sK18)), 4.12/1.44 inference(cnf_transformation,[],[f281])). 4.12/1.44 4.12/1.44 tff(f456,plain,( 4.12/1.44 sK14 != $sum(sK14,$uminus(0)) | ~sorted1(sK15,0,sK14) | ~$less(sK19,0) | partial_solution1(sK9,sK18)), 4.12/1.44 inference(definition_unfolding,[],[f431,f401,f399])). 4.12/1.44 4.12/1.44 tff(f433,plain,( 4.12/1.44 sK14 != $sum(sK14,$uminus(sK10)) | ~sorted1(sK15,0,sK14) | $less(sK19,$sum(sK14,$uminus(sK10))) | partial_solution1(n1,sK18)), 4.12/1.44 inference(cnf_transformation,[],[f281])). 4.12/1.44 4.12/1.44 tff(f454,plain,( 4.12/1.44 sK14 != $sum(sK14,$uminus(0)) | ~sorted1(sK15,0,sK14) | $less(sK19,$sum(sK14,$uminus(0))) | partial_solution1(sK9,sK18)), 4.12/1.44 inference(definition_unfolding,[],[f433,f401,f401,f399])). 4.12/1.44 4.12/1.44 tff(f432,plain,( 4.12/1.44 sK14 != $sum(sK14,$uminus(sK10)) | ~sorted1(sK15,0,sK14) | eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(sK19)),n1) | partial_solution1(n1,sK18)), 4.12/1.44 inference(cnf_transformation,[],[f281])). 4.12/1.44 4.12/1.44 tff(f455,plain,( 4.12/1.44 sK14 != $sum(sK14,$uminus(0)) | ~sorted1(sK15,0,sK14) | eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(sK19)),sK9) | partial_solution1(sK9,sK18)), 4.12/1.44 inference(definition_unfolding,[],[f432,f401,f399,f399])). 4.12/1.44 4.12/1.44 tff(f424,plain,( 4.12/1.44 ( ! [X14 : $int,X12 : map_int_int] : (partial_solution1(n1,X12) | $less(X14,sK10) | ~eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK15),t2tb1(X14)),n1) | ~$less(X14,sK14)) )), 4.12/1.44 inference(cnf_transformation,[],[f281])). 4.12/1.44 4.12/1.44 tff(f463,plain,( 4.12/1.44 ( ! [X14 : $int,X12 : map_int_int] : (partial_solution1(sK9,X12) | $less(X14,0) | ~eq_prefix1(int,t2tb2(X12),get(map(int,int),int,t2tb3(sK15),t2tb1(X14)),sK9) | ~$less(X14,sK14)) )), 4.12/1.44 inference(definition_unfolding,[],[f424,f399,f401,f399])). 4.12/1.44 4.12/1.44 cnf(c_100,plain, 4.12/1.44 ( $less_int(sK3(X0_14,X0_13,X1_13,X0_3),X0_3) 4.12/1.44 | eq_prefix1(X0_14,X0_13,X1_13,X0_3) ), 4.12/1.44 inference(cnf_transformation,[],[f316]) ). 4.12/1.44 4.12/1.44 cnf(c_12136,plain, 4.12/1.44 ( $less_int(sK3(int,t2tb2(sK17),t2tb2(sK18),0),0) 4.12/1.44 | eq_prefix1(int,t2tb2(sK17),t2tb2(sK18),0) ), 4.12/1.44 inference(instantiation,[status(thm)],[c_100]) ). 4.12/1.44 4.12/1.44 cnf(c_99,plain, 4.12/1.44 ( ~ $less_int(sK3(X0_14,X0_13,X1_13,X0_3),0) 4.12/1.44 | eq_prefix1(X0_14,X0_13,X1_13,X0_3) ), 4.12/1.44 inference(cnf_transformation,[],[f317]) ). 4.12/1.44 4.12/1.44 cnf(c_12137,plain, 4.12/1.44 ( ~ $less_int(sK3(int,t2tb2(sK17),t2tb2(sK18),0),0) 4.12/1.44 | eq_prefix1(int,t2tb2(sK17),t2tb2(sK18),0) ), 4.12/1.44 inference(instantiation,[status(thm)],[c_99]) ). 4.12/1.44 4.12/1.44 cnf(c_186,negated_conjecture, 4.12/1.44 ( ~ eq_prefix1(int,t2tb2(sK17),t2tb2(X0_18),sK16) 4.12/1.44 | ~ $less_int(sK20(X0_18),0) 4.12/1.44 | ~ partial_solution1(sK9,X0_18) ), 4.12/1.44 inference(cnf_transformation,[],[f459]) ). 4.12/1.44 4.12/1.44 cnf(c_212,negated_conjecture, 4.12/1.44 ( sK16 = 0 ), 4.12/1.44 inference(cnf_transformation,[],[f480]) ). 4.12/1.44 4.12/1.44 cnf(c_1863,plain, 4.12/1.44 ( ~ eq_prefix1(int,t2tb2(sK17),t2tb2(X0_18),0) 4.12/1.44 | ~ $less_int(sK20(X0_18),0) 4.12/1.44 | ~ partial_solution1(sK9,X0_18) ), 4.12/1.44 inference(demodulation,[status(thm)],[c_186,c_212]) ). 4.12/1.44 4.12/1.44 cnf(c_11184,plain, 4.12/1.44 ( ~ eq_prefix1(int,t2tb2(sK17),t2tb2(sK18),0) 4.12/1.44 | ~ $less_int(sK20(sK18),0) 4.12/1.44 | ~ partial_solution1(sK9,sK18) ), 4.12/1.44 inference(instantiation,[status(thm)],[c_1863]) ). 4.12/1.44 4.12/1.44 cnf(c_188,negated_conjecture, 4.12/1.44 ( ~ eq_prefix1(int,t2tb2(sK17),t2tb2(X0_18),sK16) 4.12/1.44 | ~ partial_solution1(sK9,X0_18) 4.12/1.44 | $less_int(sK20(X0_18),sK14) ), 4.12/1.44 inference(cnf_transformation,[],[f461]) ). 4.12/1.44 4.12/1.44 cnf(c_1834,plain, 4.12/1.44 ( ~ eq_prefix1(int,t2tb2(sK17),t2tb2(X0_18),0) 4.12/1.44 | ~ partial_solution1(sK9,X0_18) 4.12/1.44 | $less_int(sK20(X0_18),sK14) ), 4.12/1.44 inference(demodulation,[status(thm)],[c_188,c_212]) ). 4.12/1.44 4.12/1.44 cnf(c_11183,plain, 4.12/1.44 ( ~ eq_prefix1(int,t2tb2(sK17),t2tb2(sK18),0) 4.12/1.44 | ~ partial_solution1(sK9,sK18) 4.12/1.44 | $less_int(sK20(sK18),sK14) ), 4.12/1.44 inference(instantiation,[status(thm)],[c_1834]) ). 4.12/1.44 4.12/1.44 cnf(c_187,negated_conjecture, 4.12/1.44 ( ~ eq_prefix1(int,t2tb2(sK17),t2tb2(X0_18),sK16) 4.12/1.44 | ~ partial_solution1(sK9,X0_18) 4.12/1.44 | eq_prefix1(int,t2tb2(X0_18),get(map(int,int),int,t2tb3(sK15),t2tb1(sK20(X0_18))),sK9) ), 4.12/1.44 inference(cnf_transformation,[],[f460]) ). 4.12/1.44 4.12/1.44 cnf(c_2017,plain, 4.12/1.44 ( ~ eq_prefix1(int,t2tb2(sK17),t2tb2(X0_18),0) 4.12/1.44 | ~ partial_solution1(sK9,X0_18) 4.12/1.44 | eq_prefix1(int,t2tb2(X0_18),get(map(int,int),int,t2tb3(sK15),t2tb1(sK20(X0_18))),sK9) ), 4.12/1.44 inference(demodulation,[status(thm)],[c_187,c_212]) ). 4.12/1.44 4.12/1.44 cnf(c_180,negated_conjecture, 4.12/1.44 ( $sum_int(sK14,$uminus_int(0)) != sK14 4.12/1.44 | ~ eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(X0_3)),sK9) 4.12/1.44 | ~ $less_int(X0_3,$sum_int(sK14,$uminus_int(0))) 4.12/1.44 | ~ sorted1(sK15,0,sK14) 4.12/1.44 | ~ partial_solution1(sK9,sK18) 4.12/1.44 | $less_int(X0_3,0) ), 4.12/1.44 inference(cnf_transformation,[],[f453]) ). 4.12/1.44 4.12/1.44 cnf(c_185,negated_conjecture, 4.12/1.44 ( sorted1(sK15,0,sK14) ), 4.12/1.44 inference(cnf_transformation,[],[f458]) ). 4.12/1.44 4.12/1.44 cnf(c_364,plain, 4.12/1.44 ( ~ $less_int(X0_3,$sum_int(sK14,$uminus_int(0))) 4.12/1.44 | ~ eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(X0_3)),sK9) 4.12/1.44 | $sum_int(sK14,$uminus_int(0)) != sK14 4.12/1.44 | ~ partial_solution1(sK9,sK18) 4.12/1.44 | $less_int(X0_3,0) ), 4.12/1.44 inference(global_propositional_subsumption, 4.12/1.44 [status(thm)], 4.12/1.44 [c_180,c_185]) ). 4.12/1.44 4.12/1.44 cnf(c_365,negated_conjecture, 4.12/1.44 ( $sum_int(sK14,$uminus_int(0)) != sK14 4.12/1.44 | ~ eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(X0_3)),sK9) 4.12/1.44 | ~ $less_int(X0_3,$sum_int(sK14,$uminus_int(0))) 4.12/1.44 | ~ partial_solution1(sK9,sK18) 4.12/1.44 | $less_int(X0_3,0) ), 4.12/1.44 inference(renaming,[status(thm)],[c_364]) ). 4.12/1.44 4.12/1.44 cnf(c_8510,negated_conjecture, 4.12/1.44 ( ~ eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(X0_3)),sK9) 4.12/1.44 | ~ $less_int(X0_3,$sum_int(sK14,$uminus_int(0))) 4.12/1.44 | $less_int(X0_3,0) 4.12/1.44 | ~ sP0_iProver_split ), 4.12/1.44 inference(splitting, 4.12/1.44 [splitting(split),new_symbols(definition,[sP0_iProver_split])], 4.12/1.44 [c_365]) ). 4.12/1.44 4.12/1.44 cnf(c_10114,plain, 4.12/1.44 ( ~ eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(X0_3)),sK9) 4.12/1.44 | ~ $less_int(X0_3,sK14) 4.12/1.44 | ~ sP0_iProver_split 4.12/1.44 | $less_int(X0_3,0) ), 4.12/1.44 inference(smt_theory_normalisation,[status(thm)],[c_8510]) ). 4.12/1.44 4.12/1.44 cnf(c_8511,negated_conjecture, 4.12/1.44 ( $sum_int(sK14,$uminus_int(0)) != sK14 4.12/1.44 | ~ partial_solution1(sK9,sK18) 4.12/1.44 | sP0_iProver_split ), 4.12/1.44 inference(splitting, 4.12/1.44 [splitting(split),new_symbols(definition,[])], 4.12/1.44 [c_365]) ). 4.12/1.44 4.12/1.44 cnf(c_10069,plain, 4.12/1.44 ( ~ partial_solution1(sK9,sK18) | sP0_iProver_split ), 4.12/1.44 inference(smt_theory_normalisation,[status(thm)],[c_8511]) ). 4.12/1.44 4.12/1.44 cnf(c_183,negated_conjecture, 4.12/1.44 ( $sum_int(sK14,$uminus_int(0)) != sK14 4.12/1.44 | ~ sorted1(sK15,0,sK14) 4.12/1.44 | ~ $less_int(sK19,0) 4.12/1.44 | partial_solution1(sK9,sK18) ), 4.12/1.44 inference(cnf_transformation,[],[f456]) ). 4.12/1.44 4.12/1.44 cnf(c_358,negated_conjecture, 4.12/1.44 ( $sum_int(sK14,$uminus_int(0)) != sK14 4.12/1.44 | ~ $less_int(sK19,0) 4.12/1.44 | partial_solution1(sK9,sK18) ), 4.12/1.44 inference(global_propositional_subsumption, 4.12/1.44 [status(thm)], 4.12/1.44 [c_183,c_185]) ). 4.12/1.44 4.12/1.44 cnf(c_10074,plain, 4.12/1.44 ( ~ $less_int(sK19,0) | partial_solution1(sK9,sK18) ), 4.12/1.44 inference(smt_theory_normalisation,[status(thm)],[c_358]) ). 4.12/1.44 4.12/1.44 cnf(c_181,negated_conjecture, 4.12/1.44 ( $sum_int(sK14,$uminus_int(0)) != sK14 4.12/1.44 | ~ sorted1(sK15,0,sK14) 4.12/1.44 | $less_int(sK19,$sum_int(sK14,$uminus_int(0))) 4.12/1.44 | partial_solution1(sK9,sK18) ), 4.12/1.44 inference(cnf_transformation,[],[f454]) ). 4.12/1.44 4.12/1.44 cnf(c_362,negated_conjecture, 4.12/1.44 ( $sum_int(sK14,$uminus_int(0)) != sK14 4.12/1.44 | $less_int(sK19,$sum_int(sK14,$uminus_int(0))) 4.12/1.44 | partial_solution1(sK9,sK18) ), 4.12/1.44 inference(global_propositional_subsumption, 4.12/1.44 [status(thm)], 4.12/1.44 [c_181,c_185]) ). 4.12/1.44 4.12/1.44 cnf(c_10082,plain, 4.12/1.44 ( $less_int(sK19,sK14) | partial_solution1(sK9,sK18) ), 4.12/1.44 inference(smt_theory_normalisation,[status(thm)],[c_362]) ). 4.12/1.44 4.12/1.44 cnf(c_10087,plain, 4.12/1.44 ( $less_int(sK19,sK14) | sP0_iProver_split ), 4.12/1.44 inference(superposition,[status(thm)],[c_10082,c_10069]) ). 4.12/1.44 4.12/1.44 cnf(c_182,negated_conjecture, 4.12/1.44 ( $sum_int(sK14,$uminus_int(0)) != sK14 4.12/1.44 | ~ sorted1(sK15,0,sK14) 4.12/1.44 | eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(sK19)),sK9) 4.12/1.44 | partial_solution1(sK9,sK18) ), 4.12/1.44 inference(cnf_transformation,[],[f455]) ). 4.12/1.44 4.12/1.44 cnf(c_360,negated_conjecture, 4.12/1.44 ( $sum_int(sK14,$uminus_int(0)) != sK14 4.12/1.44 | eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(sK19)),sK9) 4.12/1.44 | partial_solution1(sK9,sK18) ), 4.12/1.44 inference(global_propositional_subsumption, 4.12/1.44 [status(thm)], 4.12/1.44 [c_182,c_185]) ). 4.12/1.44 4.12/1.44 cnf(c_10108,plain, 4.12/1.44 ( eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(sK19)),sK9) 4.12/1.44 | partial_solution1(sK9,sK18) ), 4.12/1.44 inference(smt_theory_normalisation,[status(thm)],[c_360]) ). 4.12/1.44 4.12/1.44 cnf(c_190,negated_conjecture, 4.12/1.44 ( ~ eq_prefix1(int,t2tb2(X0_18),get(map(int,int),int,t2tb3(sK15),t2tb1(X0_3)),sK9) 4.12/1.44 | ~ $less_int(X0_3,sK14) 4.12/1.44 | $less_int(X0_3,0) 4.12/1.44 | partial_solution1(sK9,X0_18) ), 4.12/1.44 inference(cnf_transformation,[],[f463]) ). 4.12/1.44 4.12/1.44 cnf(c_10113,plain, 4.12/1.44 ( ~ $less_int(sK19,sK14) 4.12/1.44 | $less_int(sK19,0) 4.12/1.44 | partial_solution1(sK9,sK18) ), 4.12/1.44 inference(superposition,[status(thm)],[c_10108,c_190]) ). 4.12/1.44 4.12/1.44 cnf(c_10116,plain, 4.12/1.44 ( ~ $less_int(X0_3,sK14) 4.12/1.44 | ~ eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(X0_3)),sK9) 4.12/1.44 | $less_int(X0_3,0) ), 4.12/1.44 inference(global_propositional_subsumption, 4.12/1.44 [status(thm)], 4.12/1.44 [c_10114,c_10069,c_10074,c_10087,c_10113]) ). 4.12/1.44 4.12/1.44 cnf(c_10117,plain, 4.12/1.44 ( ~ eq_prefix1(int,t2tb2(sK18),get(map(int,int),int,t2tb3(sK15),t2tb1(X0_3)),sK9) 4.12/1.44 | ~ $less_int(X0_3,sK14) 4.12/1.44 | $less_int(X0_3,0) ), 4.12/1.44 inference(renaming,[status(thm)],[c_10116]) ). 4.12/1.44 4.12/1.44 cnf(c_10272,plain, 4.12/1.44 ( ~ eq_prefix1(int,t2tb2(sK17),t2tb2(sK18),0) 4.12/1.44 | ~ $less_int(sK20(sK18),sK14) 4.12/1.44 | ~ partial_solution1(sK9,sK18) 4.12/1.44 | $less_int(sK20(sK18),0) ), 4.12/1.44 inference(superposition,[status(thm)],[c_2017,c_10117]) ). 4.12/1.44 4.12/1.44 cnf(c_10186,plain, 4.12/1.44 ( partial_solution1(sK9,sK18) ), 4.12/1.44 inference(global_propositional_subsumption, 4.12/1.44 [status(thm)], 4.12/1.44 [c_10113,c_10074,c_10082]) ). 4.12/1.44 4.12/1.44 cnf(contradiction,plain, 4.12/1.44 ( $false ), 4.12/1.44 inference(minisat, 4.12/1.44 [status(thm)], 4.12/1.44 [c_12136,c_12137,c_11184,c_11183,c_10272,c_10186]) ). 4.12/1.44 4.12/1.44 4.12/1.44 % SZS output end CNFRefutation for theBenchmark.p 4.12/1.44 4.12/1.44 4.12/1.45 EOF