0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.14 % 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 0.13/0.35 % Computer : n004.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Tue Aug 9 02:17:05 EDT 2022 0.13/0.35 % CPUTime : 28.48/4.63 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p 28.48/4.63 28.48/4.63 %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------% 28.48/4.63 28.48/4.63 ------ iProver source info 28.48/4.63 28.48/4.63 git: date: 2022-07-26 19:47:37 +0300 28.48/4.63 git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1 28.48/4.63 git: non_committed_changes: false 28.48/4.63 git: last_make_outside_of_git: false 28.48/4.63 28.48/4.63 ------ Parsing... 28.48/4.63 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim 28.48/4.63 28.48/4.63 28.48/4.63 ------ Preprocessing... sup_sim: 3 pe_s pe_e sup_sim: 0 pe_s pe_e 28.48/4.63 28.48/4.63 ------ Preprocessing...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim 28.48/4.63 gs_s sp: 0 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 28.48/4.63 28.48/4.63 28.48/4.63 ------ Preprocessing... 28.48/4.63 ------ Proving... 28.48/4.63 ------ Problem Properties 28.48/4.63 28.48/4.63 28.48/4.63 clauses 41 28.48/4.63 conjectures 6 28.48/4.63 EPR 14 28.48/4.63 Horn 35 28.48/4.63 unary 23 28.48/4.63 binary 14 28.48/4.63 lits 63 28.48/4.63 lits eq 22 28.48/4.63 fd_pure 0 28.48/4.63 fd_pseudo 0 28.48/4.63 fd_cond 1 28.48/4.63 fd_pseudo_cond 3 28.48/4.63 AC symbols 1 28.48/4.63 28.48/4.63 ------ Schedule dynamic 5 is on 28.48/4.63 28.48/4.63 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10. 28.48/4.63 28.48/4.63 28.48/4.63 ------ 28.48/4.63 Current options: 28.48/4.63 ------ 28.48/4.63 28.48/4.63 ------ Input Options 28.48/4.63 28.48/4.63 --out_options all 28.48/4.63 --tptp_safe_out true 28.48/4.63 --problem_path "" 28.48/4.63 --include_path "" 28.48/4.63 --clausifier res/vclausify_rel 28.48/4.63 --clausifier_options --mode tclausify -t 124.99156975746155 --show_fool true 28.48/4.63 --stdin false 28.48/4.63 --suppress_sat_res false 28.48/4.63 --suppress_unsat_res false 28.48/4.63 --stats_out none 28.48/4.63 --stats_mem false 28.48/4.63 --theory_stats_out false 28.48/4.63 28.48/4.63 ------ General Options 28.48/4.63 28.48/4.63 --fof false 28.48/4.63 --time_out_real 124.99 28.48/4.63 --time_out_virtual -1. 28.48/4.63 --rnd_seed 13 28.48/4.63 --symbol_type_check false 28.48/4.63 --clausify_out false 28.48/4.63 --sig_cnt_out false 28.48/4.63 --trig_cnt_out false 28.48/4.63 --trig_cnt_out_tolerance 1. 28.48/4.63 --trig_cnt_out_sk_spl false 28.48/4.63 --abstr_cl_out false 28.48/4.63 28.48/4.63 ------ Global Options 28.48/4.63 28.48/4.63 --schedule default 28.48/4.63 --add_important_lit false 28.48/4.63 --prop_solver_per_cl 500 28.48/4.63 --subs_bck_mult 8 28.48/4.63 --min_unsat_core false 28.48/4.63 --soft_assumptions false 28.48/4.63 --soft_lemma_size 3 28.48/4.63 --prop_impl_unit_size 0 28.48/4.63 --prop_impl_unit [] 28.48/4.63 --share_sel_clauses true 28.48/4.63 --reset_solvers false 28.48/4.63 --bc_imp_inh [conj_cone] 28.48/4.63 --conj_cone_tolerance 3. 28.48/4.63 --extra_neg_conj none 28.48/4.63 --large_theory_mode true 28.48/4.63 --prolific_symb_bound 200 28.48/4.63 --lt_threshold 2000 28.48/4.63 --clause_weak_htbl true 28.48/4.63 --gc_record_bc_elim false 28.48/4.63 28.48/4.63 ------ Preprocessing Options 28.48/4.63 28.48/4.63 --preprocessing_flag true 28.48/4.63 --time_out_prep_mult 0.1 28.48/4.63 --splitting_mode input 28.48/4.63 --splitting_grd true 28.48/4.63 --splitting_cvd false 28.48/4.63 --splitting_cvd_svl false 28.48/4.63 --splitting_nvd 32 28.48/4.63 --sub_typing false 28.48/4.63 --prep_gs_sim true 28.48/4.63 --prep_unflatten true 28.48/4.63 --prep_res_sim true 28.48/4.63 --prep_sup_sim_all true 28.48/4.63 --prep_sup_sim_sup false 28.48/4.63 --prep_upred true 28.48/4.63 --prep_well_definedness true 28.48/4.63 --prep_sem_filter exhaustive 28.48/4.63 --prep_sem_filter_out false 28.48/4.63 --pred_elim true 28.48/4.63 --res_sim_input true 28.48/4.63 --eq_ax_congr_red true 28.48/4.63 --pure_diseq_elim true 28.48/4.63 --brand_transform false 28.48/4.63 --non_eq_to_eq false 28.48/4.63 --prep_def_merge true 28.48/4.63 --prep_def_merge_prop_impl false 28.48/4.63 --prep_def_merge_mbd true 28.48/4.63 --prep_def_merge_tr_red false 28.48/4.63 --prep_def_merge_tr_cl false 28.48/4.63 --smt_preprocessing false 28.48/4.63 --smt_ac_axioms fast 28.48/4.63 --preprocessed_out false 28.48/4.63 --preprocessed_stats false 28.48/4.63 28.48/4.63 ------ Abstraction refinement Options 28.48/4.63 28.48/4.63 --abstr_ref [] 28.48/4.63 --abstr_ref_prep false 28.48/4.63 --abstr_ref_until_sat false 28.48/4.63 --abstr_ref_sig_restrict funpre 28.48/4.63 --abstr_ref_af_restrict_to_split_sk false 28.48/4.63 --abstr_ref_under [] 28.48/4.63 28.48/4.63 ------ SAT Options 28.48/4.63 28.48/4.63 --sat_mode false 28.48/4.63 --sat_fm_restart_options "" 28.48/4.63 --sat_gr_def false 28.48/4.63 --sat_epr_types true 28.48/4.63 --sat_non_cyclic_types false 28.48/4.63 --sat_finite_models false 28.48/4.63 --sat_fm_lemmas false 28.48/4.63 --sat_fm_prep false 28.48/4.63 --sat_fm_uc_incr true 28.48/4.63 --sat_out_model small 28.48/4.63 --sat_out_clauses false 28.48/4.63 28.48/4.63 ------ QBF Options 28.48/4.63 28.48/4.63 --qbf_mode false 28.48/4.63 --qbf_elim_univ false 28.48/4.63 --qbf_dom_inst none 28.48/4.63 --qbf_dom_pre_inst false 28.48/4.63 --qbf_sk_in false 28.48/4.63 --qbf_pred_elim true 28.48/4.63 --qbf_split 512 28.48/4.63 28.48/4.63 ------ BMC1 Options 28.48/4.63 28.48/4.63 --bmc1_incremental false 28.48/4.63 --bmc1_axioms reachable_all 28.48/4.63 --bmc1_min_bound 0 28.48/4.63 --bmc1_max_bound -1 28.48/4.63 --bmc1_max_bound_default -1 28.48/4.63 --bmc1_symbol_reachability true 28.48/4.63 --bmc1_property_lemmas false 28.48/4.63 --bmc1_k_induction false 28.48/4.63 --bmc1_non_equiv_states false 28.48/4.63 --bmc1_deadlock false 28.48/4.63 --bmc1_ucm false 28.48/4.63 --bmc1_add_unsat_core none 28.48/4.63 --bmc1_unsat_core_children false 28.48/4.63 --bmc1_unsat_core_extrapolate_axioms false 28.48/4.63 --bmc1_out_stat full 28.48/4.63 --bmc1_ground_init false 28.48/4.63 --bmc1_pre_inst_next_state false 28.48/4.63 --bmc1_pre_inst_state false 28.48/4.63 --bmc1_pre_inst_reach_state false 28.48/4.63 --bmc1_out_unsat_core false 28.48/4.63 --bmc1_aig_witness_out false 28.48/4.63 --bmc1_verbose false 28.48/4.63 --bmc1_dump_clauses_tptp false 28.48/4.63 --bmc1_dump_unsat_core_tptp false 28.48/4.63 --bmc1_dump_file - 28.48/4.63 --bmc1_ucm_expand_uc_limit 128 28.48/4.63 --bmc1_ucm_n_expand_iterations 6 28.48/4.63 --bmc1_ucm_extend_mode 1 28.48/4.63 --bmc1_ucm_init_mode 2 28.48/4.63 --bmc1_ucm_cone_mode none 28.48/4.63 --bmc1_ucm_reduced_relation_type 0 28.48/4.63 --bmc1_ucm_relax_model 4 28.48/4.63 --bmc1_ucm_full_tr_after_sat true 28.48/4.63 --bmc1_ucm_expand_neg_assumptions false 28.48/4.63 --bmc1_ucm_layered_model none 28.48/4.63 --bmc1_ucm_max_lemma_size 10 28.48/4.63 28.48/4.63 ------ AIG Options 28.48/4.63 28.48/4.63 --aig_mode false 28.48/4.63 28.48/4.63 ------ Instantiation Options 28.48/4.63 28.48/4.63 --instantiation_flag true 28.48/4.63 --inst_sos_flag false 28.48/4.63 --inst_sos_phase true 28.48/4.63 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] 28.48/4.63 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] 28.48/4.63 --inst_lit_sel_side none 28.48/4.63 --inst_solver_per_active 1400 28.48/4.63 --inst_solver_calls_frac 1. 28.48/4.63 --inst_passive_queue_type priority_queues 28.48/4.63 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] 28.48/4.63 --inst_passive_queues_freq [25;2] 28.48/4.63 --inst_dismatching true 28.48/4.63 --inst_eager_unprocessed_to_passive true 28.48/4.63 --inst_prop_sim_given true 28.48/4.63 --inst_prop_sim_new false 28.48/4.63 --inst_subs_new false 28.48/4.63 --inst_eq_res_simp false 28.48/4.63 --inst_subs_given false 28.48/4.63 --inst_orphan_elimination true 28.48/4.63 --inst_learning_loop_flag true 28.48/4.63 --inst_learning_start 3000 28.48/4.63 --inst_learning_factor 2 28.48/4.63 --inst_start_prop_sim_after_learn 3 28.48/4.63 --inst_sel_renew solver 28.48/4.63 --inst_lit_activity_flag true 28.48/4.63 --inst_restr_to_given false 28.48/4.63 --inst_activity_threshold 500 28.48/4.63 --inst_out_proof true 28.48/4.63 28.48/4.63 ------ Resolution Options 28.48/4.63 28.48/4.63 --resolution_flag false 28.48/4.63 --res_lit_sel adaptive 28.48/4.63 --res_lit_sel_side none 28.48/4.63 --res_ordering kbo 28.48/4.63 --res_to_prop_solver active 28.48/4.63 --res_prop_simpl_new false 28.48/4.63 --res_prop_simpl_given true 28.48/4.63 --res_passive_queue_type priority_queues 28.48/4.63 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] 28.48/4.63 --res_passive_queues_freq [15;5] 28.48/4.63 --res_forward_subs full 28.48/4.63 --res_backward_subs full 28.48/4.63 --res_forward_subs_resolution true 28.48/4.63 --res_backward_subs_resolution true 28.48/4.63 --res_orphan_elimination true 28.48/4.63 --res_time_limit 300. 28.48/4.63 --res_out_proof true 28.48/4.63 28.48/4.63 ------ Superposition Options 28.48/4.63 28.48/4.63 --superposition_flag true 28.48/4.63 --sup_passive_queue_type priority_queues 28.48/4.63 --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]] 28.48/4.63 --sup_passive_queues_freq [8;1;4;4] 28.48/4.63 --demod_completeness_check fast 28.48/4.63 --demod_use_ground true 28.48/4.63 --sup_to_prop_solver passive 28.48/4.63 --sup_prop_simpl_new true 28.48/4.63 --sup_prop_simpl_given true 28.48/4.63 --sup_fun_splitting false 28.48/4.63 --sup_iter_deepening 2 28.48/4.63 --sup_restarts_mult 12 28.48/4.63 --sup_score sim_d_gen 28.48/4.63 --sup_share_score_frac 0.2 28.48/4.63 --sup_share_max_num_cl 500 28.48/4.63 --sup_ordering kbo 28.48/4.63 --sup_symb_ordering invfreq 28.48/4.63 --sup_term_weight default 28.48/4.63 28.48/4.63 ------ Superposition Simplification Setup 28.48/4.63 28.48/4.63 --sup_indices_passive [LightNormIndex;FwDemodIndex] 28.48/4.63 --sup_full_triv [SMTSimplify;PropSubs] 28.48/4.63 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 28.48/4.63 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 28.48/4.63 --sup_immed_triv [] 28.48/4.63 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes] 28.48/4.63 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes] 28.48/4.63 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod] 28.48/4.63 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 28.48/4.63 --sup_input_triv [Unflattening;SMTSimplify] 28.48/4.63 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability] 28.48/4.63 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 28.48/4.63 --sup_full_fixpoint true 28.48/4.63 --sup_main_fixpoint true 28.48/4.63 --sup_immed_fixpoint false 28.48/4.63 --sup_input_fixpoint true 28.48/4.63 --sup_cache_sim none 28.48/4.63 --sup_smt_interval 500 28.48/4.63 --sup_bw_gjoin_interval 0 28.48/4.63 28.48/4.63 ------ Combination Options 28.48/4.63 28.48/4.63 --comb_mode clause_based 28.48/4.63 --comb_inst_mult 5 28.48/4.63 --comb_res_mult 1 28.48/4.63 --comb_sup_mult 8 28.48/4.63 --comb_sup_deep_mult 2 28.48/4.63 28.48/4.63 ------ Debug Options 28.48/4.63 28.48/4.63 --dbg_backtrace false 28.48/4.63 --dbg_dump_prop_clauses false 28.48/4.63 --dbg_dump_prop_clauses_file - 28.48/4.63 --dbg_out_stat false 28.48/4.63 --dbg_just_parse false 28.48/4.63 28.48/4.63 28.48/4.63 28.48/4.63 28.48/4.63 ------ Proving... 28.48/4.63 28.48/4.63 28.48/4.63 % SZS status Theorem for theBenchmark.p 28.48/4.63 28.48/4.63 % SZS output start CNFRefutation for theBenchmark.p 28.48/4.63 28.48/4.63 tff(f11,axiom,( 28.48/4.63 ! [X20 : $int,X21 : collection] : (~in(X20,X21) <=> count(remove(X20,X21)) = count(X21))), 28.48/4.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6)). 28.48/4.63 28.48/4.63 tff(f38,plain,( 28.48/4.63 ! [X0 : $int,X1 : collection] : (~in(X0,X1) <=> count(X1) = count(remove(X0,X1)))), 28.48/4.63 inference(rectify,[],[f11])). 28.48/4.63 28.48/4.63 tff(f51,plain,( 28.48/4.63 ! [X0 : $int,X1 : collection] : ((~in(X0,X1) | count(X1) != count(remove(X0,X1))) & (count(X1) = count(remove(X0,X1)) | in(X0,X1)))), 28.48/4.63 inference(nnf_transformation,[],[f38])). 28.48/4.63 28.48/4.63 tff(f72,plain,( 28.48/4.63 ( ! [X0 : $int,X1 : collection] : (count(X1) = count(remove(X0,X1)) | in(X0,X1)) )), 28.48/4.63 inference(cnf_transformation,[],[f51])). 28.48/4.63 28.48/4.63 tff(f5,axiom,( 28.48/4.63 ! [X8 : $int,X9 : collection,X10 : $int] : ((X8 != X10 & in(X8,X9)) <=> in(X8,remove(X10,X9)))), 28.48/4.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)). 28.48/4.63 28.48/4.63 tff(f32,plain,( 28.48/4.63 ! [X0 : $int,X1 : collection,X2 : $int] : ((X0 != X2 & in(X0,X1)) <=> in(X0,remove(X2,X1)))), 28.48/4.63 inference(rectify,[],[f5])). 28.48/4.63 28.48/4.63 tff(f46,plain,( 28.48/4.63 ! [X0 : $int,X1 : collection,X2 : $int] : (((X0 != X2 & in(X0,X1)) | ~in(X0,remove(X2,X1))) & (in(X0,remove(X2,X1)) | (X0 = X2 | ~in(X0,X1))))), 28.48/4.63 inference(nnf_transformation,[],[f32])). 28.48/4.63 28.48/4.63 tff(f47,plain,( 28.48/4.63 ! [X0 : $int,X1 : collection,X2 : $int] : (((X0 != X2 & in(X0,X1)) | ~in(X0,remove(X2,X1))) & (in(X0,remove(X2,X1)) | X0 = X2 | ~in(X0,X1)))), 28.48/4.63 inference(flattening,[],[f46])). 28.48/4.63 28.48/4.63 tff(f61,plain,( 28.48/4.63 ( ! [X2 : $int,X0 : $int,X1 : collection] : (in(X0,remove(X2,X1)) | X0 = X2 | ~in(X0,X1)) )), 28.48/4.63 inference(cnf_transformation,[],[f47])). 28.48/4.63 28.48/4.63 tff(f13,conjecture,( 28.48/4.63 ! [X7 : collection,X2 : $int,X3 : $int] : (($less(X2,3) & $less(6,X3) & in(X3,X7) & count(X7) = 2 & in(X2,X7)) => ~in(5,X7))), 28.48/4.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1)). 28.48/4.63 28.48/4.63 tff(f14,negated_conjecture,( 28.48/4.63 ~! [X7 : collection,X2 : $int,X3 : $int] : (($less(X2,3) & $less(6,X3) & in(X3,X7) & count(X7) = 2 & in(X2,X7)) => ~in(5,X7))), 28.48/4.63 inference(negated_conjecture,[],[f13])). 28.48/4.63 28.48/4.63 tff(f40,plain,( 28.48/4.63 ~! [X0 : collection,X1 : $int,X2 : $int] : (($less(X1,3) & $less(6,X2) & in(X2,X0) & 2 = count(X0) & in(X1,X0)) => ~in(5,X0))), 28.48/4.63 inference(rectify,[],[f14])). 28.48/4.63 28.48/4.63 tff(f42,plain,( 28.48/4.63 ? [X0 : collection,X1 : $int,X2 : $int] : (in(5,X0) & ($less(X1,3) & $less(6,X2) & in(X2,X0) & 2 = count(X0) & in(X1,X0)))), 28.48/4.63 inference(ennf_transformation,[],[f40])). 28.48/4.63 28.48/4.63 tff(f43,plain,( 28.48/4.63 ? [X0 : collection,X1 : $int,X2 : $int] : (in(5,X0) & $less(X1,3) & $less(6,X2) & in(X2,X0) & 2 = count(X0) & in(X1,X0))), 28.48/4.63 inference(flattening,[],[f42])). 28.48/4.63 28.48/4.63 tff(f53,plain,( 28.48/4.63 ? [X0 : collection,X1 : $int,X2 : $int] : (in(5,X0) & $less(X1,3) & $less(6,X2) & in(X2,X0) & 2 = count(X0) & in(X1,X0)) => (in(5,sK0) & $less(sK1,3) & $less(6,sK2) & in(sK2,sK0) & 2 = count(sK0) & in(sK1,sK0))), 28.48/4.63 introduced(choice_axiom,[])). 28.48/4.63 28.48/4.63 tff(f54,plain,( 28.48/4.63 in(5,sK0) & $less(sK1,3) & $less(6,sK2) & in(sK2,sK0) & 2 = count(sK0) & in(sK1,sK0)), 28.48/4.63 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f43,f53])). 28.48/4.63 28.48/4.63 tff(f81,plain,( 28.48/4.63 in(5,sK0)), 28.48/4.63 inference(cnf_transformation,[],[f54])). 28.48/4.63 28.48/4.63 tff(f3,axiom,( 28.48/4.63 ! [X4 : $int,X5 : collection,X6 : $int] : (in(X4,add(X6,X5)) <=> (X4 = X6 | in(X4,X5)))), 28.48/4.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)). 28.48/4.63 28.48/4.63 tff(f30,plain,( 28.48/4.63 ! [X0 : $int,X1 : collection,X2 : $int] : (in(X0,add(X2,X1)) <=> (X0 = X2 | in(X0,X1)))), 28.48/4.63 inference(rectify,[],[f3])). 28.48/4.63 28.48/4.63 tff(f44,plain,( 28.48/4.63 ! [X0 : $int,X1 : collection,X2 : $int] : ((in(X0,add(X2,X1)) | (X0 != X2 & ~in(X0,X1))) & ((X0 = X2 | in(X0,X1)) | ~in(X0,add(X2,X1))))), 28.48/4.63 inference(nnf_transformation,[],[f30])). 28.48/4.63 28.48/4.63 tff(f45,plain,( 28.48/4.63 ! [X0 : $int,X1 : collection,X2 : $int] : ((in(X0,add(X2,X1)) | (X0 != X2 & ~in(X0,X1))) & (X0 = X2 | in(X0,X1) | ~in(X0,add(X2,X1))))), 28.48/4.63 inference(flattening,[],[f44])). 28.48/4.63 28.48/4.63 tff(f58,plain,( 28.48/4.63 ( ! [X2 : $int,X0 : $int,X1 : collection] : (in(X0,add(X2,X1)) | ~in(X0,X1)) )), 28.48/4.63 inference(cnf_transformation,[],[f45])). 28.48/4.63 28.48/4.63 tff(f78,plain,( 28.48/4.63 in(sK2,sK0)), 28.48/4.63 inference(cnf_transformation,[],[f54])). 28.48/4.63 28.48/4.63 tff(f7,axiom,( 28.48/4.63 ! [X13 : $int,X14 : collection] : (count(add(X13,X14)) = count(X14) <=> in(X13,X14))), 28.48/4.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4)). 28.48/4.63 28.48/4.63 tff(f34,plain,( 28.48/4.63 ! [X0 : $int,X1 : collection] : (count(add(X0,X1)) = count(X1) <=> in(X0,X1))), 28.48/4.63 inference(rectify,[],[f7])). 28.48/4.63 28.48/4.63 tff(f48,plain,( 28.48/4.63 ! [X0 : $int,X1 : collection] : ((count(add(X0,X1)) = count(X1) | ~in(X0,X1)) & (in(X0,X1) | count(add(X0,X1)) != count(X1)))), 28.48/4.63 inference(nnf_transformation,[],[f34])). 28.48/4.63 28.48/4.63 tff(f66,plain,( 28.48/4.63 ( ! [X0 : $int,X1 : collection] : (count(add(X0,X1)) = count(X1) | ~in(X0,X1)) )), 28.48/4.63 inference(cnf_transformation,[],[f48])). 28.48/4.63 28.48/4.63 tff(f77,plain,( 28.48/4.63 2 = count(sK0)), 28.48/4.63 inference(cnf_transformation,[],[f54])). 28.48/4.63 28.48/4.63 tff(f8,axiom,( 28.48/4.63 ! [X15 : $int,X16 : collection] : (in(X15,X16) <=> count(remove(X15,X16)) = $difference(count(X16),1))), 28.48/4.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5)). 28.48/4.63 28.48/4.63 tff(f15,plain,( 28.48/4.63 ! [X15 : $int,X16 : collection] : (in(X15,X16) <=> count(remove(X15,X16)) = $sum(count(X16),$uminus(1)))), 28.48/4.63 inference(theory_normalization,[],[f8])). 28.48/4.63 28.48/4.63 tff(f35,plain,( 28.48/4.63 ! [X0 : $int,X1 : collection] : (in(X0,X1) <=> count(remove(X0,X1)) = $sum(count(X1),$uminus(1)))), 28.48/4.63 inference(rectify,[],[f15])). 28.48/4.63 28.48/4.63 tff(f49,plain,( 28.48/4.63 ! [X0 : $int,X1 : collection] : ((in(X0,X1) | count(remove(X0,X1)) != $sum(count(X1),$uminus(1))) & (count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) | ~in(X0,X1)))), 28.48/4.63 inference(nnf_transformation,[],[f35])). 28.48/4.63 28.48/4.63 tff(f67,plain,( 28.48/4.63 ( ! [X0 : $int,X1 : collection] : (count(remove(X0,X1)) = $sum(count(X1),$uminus(1)) | ~in(X0,X1)) )), 28.48/4.63 inference(cnf_transformation,[],[f49])). 28.48/4.63 28.48/4.63 tff(f20,plain,( 28.48/4.63 ( ! [X0 : $int,X1 : $int] : ($uminus($sum(X0,X1)) = $sum($uminus(X1),$uminus(X0))) )), 28.48/4.63 introduced(theory_axiom_147,[])). 28.48/4.63 28.48/4.63 tff(f17,plain,( 28.48/4.63 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )), 28.48/4.63 introduced(theory_axiom_143,[])). 28.48/4.63 28.48/4.63 tff(f21,plain,( 28.48/4.63 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )), 28.48/4.63 introduced(theory_axiom_148,[])). 28.48/4.63 28.48/4.63 tff(f18,plain,( 28.48/4.63 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )), 28.48/4.63 introduced(theory_axiom_144,[])). 28.48/4.63 28.48/4.63 tff(f19,plain,( 28.48/4.63 ( ! [X0 : $int] : ($sum(X0,0) = X0) )), 28.48/4.63 introduced(theory_axiom_145,[])). 28.48/4.63 28.48/4.63 tff(f24,plain,( 28.48/4.63 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )), 28.48/4.63 introduced(theory_axiom_152,[])). 28.48/4.63 28.48/4.63 tff(f26,plain,( 28.48/4.63 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,$sum(X0,1))) )), 28.48/4.63 introduced(theory_axiom_155,[])). 28.48/4.63 28.48/4.63 tff(f22,plain,( 28.48/4.63 ( ! [X0 : $int] : (~$less(X0,X0)) )), 28.48/4.63 introduced(theory_axiom_150,[])). 28.48/4.63 28.48/4.63 tff(f28,plain,( 28.48/4.63 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )), 28.48/4.63 introduced(theory_axiom_169,[])). 28.48/4.63 28.48/4.63 tff(f76,plain,( 28.48/4.63 in(sK1,sK0)), 28.48/4.63 inference(cnf_transformation,[],[f54])). 28.48/4.63 28.48/4.63 tff(f73,plain,( 28.48/4.63 ( ! [X0 : $int,X1 : collection] : (~in(X0,X1) | count(X1) != count(remove(X0,X1))) )), 28.48/4.63 inference(cnf_transformation,[],[f51])). 28.48/4.63 28.48/4.63 tff(f12,axiom,( 28.48/4.63 ! [X22 : collection] : (0 = count(X22) <=> empty = X22)), 28.48/4.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2)). 28.48/4.63 28.48/4.63 tff(f39,plain,( 28.48/4.63 ! [X0 : collection] : (0 = count(X0) <=> empty = X0)), 28.48/4.63 inference(rectify,[],[f12])). 28.48/4.63 28.48/4.63 tff(f52,plain,( 28.48/4.63 ! [X0 : collection] : ((0 = count(X0) | empty != X0) & (empty = X0 | 0 != count(X0)))), 28.48/4.63 inference(nnf_transformation,[],[f39])). 28.48/4.63 28.48/4.63 tff(f74,plain,( 28.48/4.63 ( ! [X0 : collection] : (empty = X0 | 0 != count(X0)) )), 28.48/4.63 inference(cnf_transformation,[],[f52])). 28.48/4.63 28.48/4.63 tff(f65,plain,( 28.48/4.63 ( ! [X0 : $int,X1 : collection] : (in(X0,X1) | count(add(X0,X1)) != count(X1)) )), 28.48/4.63 inference(cnf_transformation,[],[f48])). 28.48/4.63 28.48/4.63 tff(f80,plain,( 28.48/4.63 $less(sK1,3)), 28.48/4.63 inference(cnf_transformation,[],[f54])). 28.48/4.63 28.48/4.63 tff(f23,plain,( 28.48/4.63 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )), 28.48/4.63 introduced(theory_axiom_151,[])). 28.48/4.63 28.48/4.63 tff(f6,axiom,( 28.48/4.63 ! [X11 : $int,X12 : collection] : (in(X11,X12) => add(X11,remove(X11,X12)) = X12)), 28.48/4.63 file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7)). 28.48/4.63 28.48/4.63 tff(f33,plain,( 28.48/4.63 ! [X0 : $int,X1 : collection] : (in(X0,X1) => add(X0,remove(X0,X1)) = X1)), 28.48/4.63 inference(rectify,[],[f6])). 28.48/4.63 28.48/4.63 tff(f41,plain,( 28.48/4.63 ! [X0 : $int,X1 : collection] : (add(X0,remove(X0,X1)) = X1 | ~in(X0,X1))), 28.48/4.63 inference(ennf_transformation,[],[f33])). 28.48/4.63 28.48/4.63 tff(f64,plain,( 28.48/4.63 ( ! [X0 : $int,X1 : collection] : (add(X0,remove(X0,X1)) = X1 | ~in(X0,X1)) )), 28.48/4.63 inference(cnf_transformation,[],[f41])). 28.48/4.63 28.48/4.63 tff(f79,plain,( 28.48/4.63 $less(6,sK2)), 28.48/4.63 inference(cnf_transformation,[],[f54])). 28.48/4.63 28.48/4.63 tff(f63,plain,( 28.48/4.63 ( ! [X2 : $int,X0 : $int,X1 : collection] : (X0 != X2 | ~in(X0,remove(X2,X1))) )), 28.48/4.63 inference(cnf_transformation,[],[f47])). 28.48/4.63 28.48/4.63 tff(f83,plain,( 28.48/4.63 ( ! [X2 : $int,X1 : collection] : (~in(X2,remove(X2,X1))) )), 28.48/4.63 inference(equality_resolution,[],[f63])). 28.48/4.63 28.48/4.63 tff(f59,plain,( 28.48/4.63 ( ! [X2 : $int,X0 : $int,X1 : collection] : (in(X0,add(X2,X1)) | X0 != X2) )), 28.48/4.63 inference(cnf_transformation,[],[f45])). 28.48/4.63 28.48/4.63 tff(f82,plain,( 28.48/4.63 ( ! [X2 : $int,X1 : collection] : (in(X2,add(X2,X1))) )), 28.48/4.63 inference(equality_resolution,[],[f59])). 28.48/4.63 28.48/4.63 cnf(c_119,plain,( $less_int(5,6) ),theory(arith) ). 28.48/4.63 28.48/4.63 cnf(c_79,plain, 28.48/4.63 ( count(remove(X0_3,X0_13)) = count(X0_13) | in(X0_3,X0_13) ), 28.48/4.63 inference(cnf_transformation,[],[f72]) ). 28.48/4.63 28.48/4.63 cnf(c_69,plain, 28.48/4.63 ( ~ in(X0_3,X0_13) | X0_3 = X1_3 | in(X0_3,remove(X1_3,X0_13)) ), 28.48/4.63 inference(cnf_transformation,[],[f61]) ). 28.48/4.63 28.48/4.63 cnf(c_82,negated_conjecture, 28.48/4.63 ( in(5,sK0) ), 28.48/4.63 inference(cnf_transformation,[],[f81]) ). 28.48/4.63 28.48/4.63 cnf(c_64,plain, 28.48/4.63 ( ~ in(X0_3,X0_13) | in(X0_3,add(X1_3,X0_13)) ), 28.48/4.63 inference(cnf_transformation,[],[f58]) ). 28.48/4.63 28.48/4.63 cnf(c_85,negated_conjecture, 28.48/4.63 ( in(sK2,sK0) ), 28.48/4.63 inference(cnf_transformation,[],[f78]) ). 28.48/4.63 28.48/4.63 cnf(c_71,plain, 28.48/4.63 ( ~ in(X0_3,X0_13) | count(add(X0_3,X0_13)) = count(X0_13) ), 28.48/4.63 inference(cnf_transformation,[],[f66]) ). 28.48/4.63 28.48/4.63 cnf(c_1596,plain, 28.48/4.63 ( count(add(sK2,sK0)) = count(sK0) ), 28.48/4.63 inference(superposition,[status(thm)],[c_85,c_71]) ). 28.48/4.63 28.48/4.63 cnf(c_86,negated_conjecture, 28.48/4.63 ( count(sK0) = 2 ), 28.48/4.63 inference(cnf_transformation,[],[f77]) ). 28.48/4.63 28.48/4.63 cnf(c_1599,plain, 28.48/4.63 ( count(add(sK2,sK0)) = 2 ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_1596,c_86]) ). 28.48/4.63 28.48/4.63 cnf(c_74,plain, 28.48/4.63 ( ~ in(X0_3,X0_13) 28.48/4.63 | $sum_int(count(X0_13),$uminus_int(1)) = count(remove(X0_3,X0_13)) ), 28.48/4.63 inference(cnf_transformation,[],[f67]) ). 28.48/4.63 28.48/4.63 cnf(c_134,plain, 28.48/4.63 ( ~ in(X0_3,X0_13) 28.48/4.63 | $sum_int(count(X0_13),$uminus_int(1)) = count(remove(X0_3,X0_13)) ), 28.48/4.63 inference(prop_impl,[status(thm)],[c_74]) ). 28.48/4.63 28.48/4.63 cnf(c_425,plain, 28.48/4.63 ( ~ in(X0_3,X0_13) 28.48/4.63 | $sum_int(1,count(remove(X0_3,X0_13))) = count(X0_13) ), 28.48/4.63 inference(smt_theory_normalisation,[status(thm)],[c_134]) ). 28.48/4.63 28.48/4.63 cnf(c_455,plain, 28.48/4.63 ( ~ in(X0_3,X0_13) 28.48/4.63 | $sum_int(1,count(remove(X0_3,X0_13))) = count(X0_13) ), 28.48/4.63 inference(prop_impl,[status(thm)],[c_425]) ). 28.48/4.63 28.48/4.63 cnf(c_1808,plain, 28.48/4.63 ( $sum_int(1,count(remove(X0_3,X0_13))) = count(X0_13) 28.48/4.63 | count(remove(X0_3,X0_13)) = count(X0_13) ), 28.48/4.63 inference(superposition,[status(thm)],[c_79,c_455]) ). 28.48/4.63 28.48/4.63 cnf(c_57,plain, 28.48/4.63 ( $sum_int($uminus_int(X0_3),$uminus_int(X1_3)) = $uminus_int($sum_int(X1_3,X0_3)) ), 28.48/4.63 inference(cnf_transformation,[],[f20]) ). 28.48/4.63 28.48/4.63 cnf(c_60,plain, 28.48/4.63 ( $sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3) ), 28.48/4.63 inference(cnf_transformation,[],[f17]) ). 28.48/4.63 28.48/4.63 cnf(c_56,plain, 28.48/4.63 ( $sum_int(X0_3,$uminus_int(X0_3)) = 0 ), 28.48/4.63 inference(cnf_transformation,[],[f21]) ). 28.48/4.63 28.48/4.63 cnf(c_59,plain, 28.48/4.63 ( $sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3)) ), 28.48/4.63 inference(cnf_transformation,[],[f18]) ). 28.48/4.63 28.48/4.63 cnf(c_1055,plain, 28.48/4.63 ( $sum_int(X0_3,$sum_int(X1_3,X2_3)) = $sum_int(X1_3,$sum_int(X0_3,X2_3)) ), 28.48/4.63 inference(superposition,[status(thm)],[c_59,c_60]) ). 28.48/4.63 28.48/4.63 cnf(c_1064,plain, 28.48/4.63 ( $sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = $sum_int(X1_3,0) ), 28.48/4.63 inference(superposition,[status(thm)],[c_56,c_1055]) ). 28.48/4.63 28.48/4.63 cnf(c_58,plain, 28.48/4.63 ( $sum_int(X0_3,0) = X0_3 ), 28.48/4.63 inference(cnf_transformation,[],[f19]) ). 28.48/4.63 28.48/4.63 cnf(c_1216,plain, 28.48/4.63 ( $sum_int(X0_3,$sum_int(X1_3,$uminus_int(X0_3))) = X1_3 ), 28.48/4.63 inference(demodulation,[status(thm)],[c_1064,c_58]) ). 28.48/4.63 28.48/4.63 cnf(c_1221,plain, 28.48/4.63 ( $sum_int(X0_3,$sum_int($uminus_int(X0_3),X1_3)) = X1_3 ), 28.48/4.63 inference(superposition,[status(thm)],[c_60,c_1216]) ). 28.48/4.63 28.48/4.63 cnf(c_1717,plain, 28.48/4.63 ( $sum_int(X0_3,$uminus_int($sum_int(X1_3,X0_3))) = $uminus_int(X1_3) ), 28.48/4.63 inference(superposition,[status(thm)],[c_57,c_1221]) ). 28.48/4.63 28.48/4.63 cnf(c_15085,plain, 28.48/4.63 ( $sum_int(count(remove(X0_3,X0_13)),$uminus_int(count(X0_13))) = $uminus_int(1) 28.48/4.63 | count(remove(X0_3,X0_13)) = count(X0_13) ), 28.48/4.63 inference(superposition,[status(thm)],[c_1808,c_1717]) ). 28.48/4.63 28.48/4.63 cnf(c_15158,plain, 28.48/4.63 ( $sum_int($uminus_int(count(X0_13)),count(remove(X0_3,X0_13))) = $uminus_int(1) 28.48/4.63 | count(remove(X0_3,X0_13)) = count(X0_13) ), 28.48/4.63 inference(theory_normalisation,[status(thm)],[c_15085,c_59,c_60]) ). 28.48/4.63 28.48/4.63 cnf(c_53,plain, 28.48/4.63 ( X0_3 = X1_3 | $less_int(X0_3,X1_3) | $less_int(X1_3,X0_3) ), 28.48/4.63 inference(cnf_transformation,[],[f24]) ). 28.48/4.63 28.48/4.63 cnf(c_51,plain, 28.48/4.63 ( $less_int(X0_3,$sum_int(X1_3,1)) | $less_int(X1_3,X0_3) ), 28.48/4.63 inference(cnf_transformation,[],[f26]) ). 28.48/4.63 28.48/4.63 cnf(c_55,plain, 28.48/4.63 ( ~ $less_int(X0_3,X0_3) ), 28.48/4.63 inference(cnf_transformation,[],[f22]) ). 28.48/4.63 28.48/4.63 cnf(c_1070,plain, 28.48/4.63 ( $less_int(X0_3,$sum_int(X0_3,1)) ), 28.48/4.63 inference(superposition,[status(thm)],[c_51,c_55]) ). 28.48/4.63 28.48/4.63 cnf(c_1079,plain, 28.48/4.63 ( $less_int(X0_3,$sum_int(1,X0_3)) ), 28.48/4.63 inference(superposition,[status(thm)],[c_60,c_1070]) ). 28.48/4.63 28.48/4.63 cnf(c_1126,plain, 28.48/4.63 ( $less_int($uminus_int(1),0) ), 28.48/4.63 inference(superposition,[status(thm)],[c_56,c_1079]) ). 28.48/4.63 28.48/4.63 cnf(c_49,plain, 28.48/4.63 ( ~ $less_int(X0_3,$sum_int(X1_3,1)) | ~ $less_int(X1_3,X0_3) ), 28.48/4.63 inference(cnf_transformation,[],[f28]) ). 28.48/4.63 28.48/4.63 cnf(c_1098,plain, 28.48/4.63 ( ~ $less_int(X0_3,$sum_int(1,X1_3)) | ~ $less_int(X1_3,X0_3) ), 28.48/4.63 inference(superposition,[status(thm)],[c_60,c_49]) ). 28.48/4.63 28.48/4.63 cnf(c_15279,plain, 28.48/4.63 ( ~ $less_int($uminus_int(1),X0_3) | ~ $less_int(X0_3,0) ), 28.48/4.63 inference(superposition,[status(thm)],[c_56,c_1098]) ). 28.48/4.63 28.48/4.63 cnf(c_15603,plain, 28.48/4.63 ( ~ $less_int(X0_3,0) | ~ $less_int(-1,X0_3) ), 28.48/4.63 inference(smt_theory_normalisation,[status(thm)],[c_15279]) ). 28.48/4.63 28.48/4.63 cnf(c_15620,plain, 28.48/4.63 ( ~ $less_int(-1,$uminus_int(1)) ), 28.48/4.63 inference(superposition,[status(thm)],[c_1126,c_15603]) ). 28.48/4.63 28.48/4.63 cnf(c_16505,plain, 28.48/4.63 ( $uminus_int(1) = -1 | $less_int($uminus_int(1),-1) ), 28.48/4.63 inference(superposition,[status(thm)],[c_53,c_15620]) ). 28.48/4.63 28.48/4.63 cnf(c_22716,plain, 28.48/4.63 ( $uminus_int(1) = -1 ), 28.48/4.63 inference(smt_theory_normalisation,[status(thm)],[c_16505]) ). 28.48/4.63 28.48/4.63 cnf(c_120324,plain, 28.48/4.63 ( $sum_int($uminus_int(count(X0_13)),count(remove(X0_3,X0_13))) = -1 28.48/4.63 | count(remove(X0_3,X0_13)) = count(X0_13) ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_15158,c_22716]) ). 28.48/4.63 28.48/4.63 cnf(c_120337,plain, 28.48/4.63 ( $sum_int($uminus_int(2),count(remove(X0_3,add(sK2,sK0)))) = -1 28.48/4.63 | count(remove(X0_3,add(sK2,sK0))) = count(add(sK2,sK0)) ), 28.48/4.63 inference(superposition,[status(thm)],[c_1599,c_120324]) ). 28.48/4.63 28.48/4.63 cnf(c_87,negated_conjecture, 28.48/4.63 ( in(sK1,sK0) ), 28.48/4.63 inference(cnf_transformation,[],[f76]) ). 28.48/4.63 28.48/4.63 cnf(c_1813,plain, 28.48/4.63 ( $sum_int(1,count(remove(sK1,sK0))) = count(sK0) ), 28.48/4.63 inference(superposition,[status(thm)],[c_87,c_455]) ). 28.48/4.63 28.48/4.63 cnf(c_1814,plain, 28.48/4.63 ( $sum_int(1,count(remove(sK1,sK0))) = 2 ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_1813,c_86]) ). 28.48/4.63 28.48/4.63 cnf(c_1899,plain, 28.48/4.63 ( count(remove(sK1,sK0)) = 1 ), 28.48/4.63 inference(smt_theory_normalisation,[status(thm)],[c_1814]) ). 28.48/4.63 28.48/4.63 cnf(c_15080,plain, 28.48/4.63 ( count(remove(sK1,sK0)) = count(sK0) | $sum_int(1,1) = count(sK0) ), 28.48/4.63 inference(superposition,[status(thm)],[c_1899,c_1808]) ). 28.48/4.63 28.48/4.63 cnf(c_15169,plain, 28.48/4.63 ( $sum_int(1,1) = 2 | 1 = 2 ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_15080,c_86,c_1899]) ). 28.48/4.63 28.48/4.63 cnf(c_78,plain, 28.48/4.63 ( count(remove(X0_3,X0_13)) != count(X0_13) | ~ in(X0_3,X0_13) ), 28.48/4.63 inference(cnf_transformation,[],[f73]) ). 28.48/4.63 28.48/4.63 cnf(c_1903,plain, 28.48/4.63 ( count(sK0) != 1 | ~ in(sK1,sK0) ), 28.48/4.63 inference(superposition,[status(thm)],[c_1899,c_78]) ). 28.48/4.63 28.48/4.63 cnf(c_1904,plain, 28.48/4.63 ( 1 != 2 | ~ in(sK1,sK0) ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_1903,c_86]) ). 28.48/4.63 28.48/4.63 cnf(c_1905,plain, 28.48/4.63 ( 1 != 2 ), 28.48/4.63 inference(forward_subsumption_resolution,[status(thm)],[c_1904,c_87]) ). 28.48/4.63 28.48/4.63 cnf(c_15170,plain, 28.48/4.63 ( $sum_int(1,1) = 2 ), 28.48/4.63 inference(forward_subsumption_resolution,[status(thm)],[c_15169,c_1905]) ). 28.48/4.63 28.48/4.63 cnf(c_1232,plain, 28.48/4.63 ( $less_int($sum_int(X0_3,$uminus_int(1)),X0_3) ), 28.48/4.63 inference(superposition,[status(thm)],[c_1216,c_1079]) ). 28.48/4.63 28.48/4.63 cnf(c_1396,plain, 28.48/4.63 ( $less_int($uminus_int($sum_int(1,X0_3)),$uminus_int(X0_3)) ), 28.48/4.63 inference(superposition,[status(thm)],[c_57,c_1232]) ). 28.48/4.63 28.48/4.63 cnf(c_16740,plain, 28.48/4.63 ( $less_int($uminus_int(2),$uminus_int(1)) ), 28.48/4.63 inference(superposition,[status(thm)],[c_15170,c_1396]) ). 28.48/4.63 28.48/4.63 cnf(c_22720,plain, 28.48/4.63 ( $less_int($uminus_int(2),-1) ), 28.48/4.63 inference(demodulation,[status(thm)],[c_16740,c_22716]) ). 28.48/4.63 28.48/4.63 cnf(c_1359,plain, 28.48/4.63 ( $sum_int(X0_3,$uminus_int($sum_int(X0_3,X1_3))) = $uminus_int(X1_3) ), 28.48/4.63 inference(superposition,[status(thm)],[c_57,c_1216]) ). 28.48/4.63 28.48/4.63 cnf(c_16710,plain, 28.48/4.63 ( $sum_int(1,$uminus_int(2)) = $uminus_int(1) ), 28.48/4.63 inference(superposition,[status(thm)],[c_15170,c_1359]) ). 28.48/4.63 28.48/4.63 cnf(c_17206,plain, 28.48/4.63 ( ~ $less_int($uminus_int(2),X0_3) | ~ $less_int(X0_3,$uminus_int(1)) ), 28.48/4.63 inference(superposition,[status(thm)],[c_16710,c_1098]) ). 28.48/4.63 28.48/4.63 cnf(c_28138,plain, 28.48/4.63 ( ~ $less_int(X0_3,-1) | ~ $less_int(-2,X0_3) ), 28.48/4.63 inference(smt_theory_normalisation,[status(thm)],[c_17206]) ). 28.48/4.63 28.48/4.63 cnf(c_28193,plain, 28.48/4.63 ( ~ $less_int(-2,$uminus_int(2)) ), 28.48/4.63 inference(superposition,[status(thm)],[c_22720,c_28138]) ). 28.48/4.63 28.48/4.63 cnf(c_61479,plain, 28.48/4.63 ( $uminus_int(2) = -2 | $less_int($uminus_int(2),-2) ), 28.48/4.63 inference(superposition,[status(thm)],[c_53,c_28193]) ). 28.48/4.63 28.48/4.63 cnf(c_63046,plain, 28.48/4.63 ( $uminus_int(2) = -2 ), 28.48/4.63 inference(smt_theory_normalisation,[status(thm)],[c_61479]) ). 28.48/4.63 28.48/4.63 cnf(c_120522,plain, 28.48/4.63 ( $sum_int(-2,count(remove(X0_3,add(sK2,sK0)))) = -1 28.48/4.63 | count(remove(X0_3,add(sK2,sK0))) = 2 ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_120337,c_1599,c_63046]) ). 28.48/4.63 28.48/4.63 cnf(c_121342,plain, 28.48/4.63 ( count(remove(X0_3,add(sK2,sK0))) = 1 28.48/4.63 | count(remove(X0_3,add(sK2,sK0))) = 2 ), 28.48/4.63 inference(smt_theory_normalisation,[status(thm)],[c_120522]) ). 28.48/4.63 28.48/4.63 cnf(c_121366,plain, 28.48/4.63 ( count(add(sK2,sK0)) != 2 28.48/4.63 | ~ in(X0_3,add(sK2,sK0)) 28.48/4.63 | count(remove(X0_3,add(sK2,sK0))) = 1 ), 28.48/4.63 inference(superposition,[status(thm)],[c_121342,c_78]) ). 28.48/4.63 28.48/4.63 cnf(c_121370,plain, 28.48/4.63 ( ~ in(X0_3,add(sK2,sK0)) | count(remove(X0_3,add(sK2,sK0))) = 1 ), 28.48/4.63 inference(forward_subsumption_resolution,[status(thm)],[c_121366,c_1599]) ). 28.48/4.63 28.48/4.63 cnf(c_121395,plain, 28.48/4.63 ( ~ in(X0_3,sK0) | count(remove(X0_3,add(sK2,sK0))) = 1 ), 28.48/4.63 inference(superposition,[status(thm)],[c_64,c_121370]) ). 28.48/4.63 28.48/4.63 cnf(c_126838,plain, 28.48/4.63 ( count(remove(5,add(sK2,sK0))) = 1 ), 28.48/4.63 inference(superposition,[status(thm)],[c_82,c_121395]) ). 28.48/4.63 28.48/4.63 cnf(c_126847,plain, 28.48/4.63 ( $sum_int($uminus_int(1),count(remove(X0_3,remove(5,add(sK2,sK0))))) = -1 28.48/4.63 | count(remove(X0_3,remove(5,add(sK2,sK0)))) = count(remove(5,add(sK2,sK0))) ), 28.48/4.63 inference(superposition,[status(thm)],[c_126838,c_120324]) ). 28.48/4.63 28.48/4.63 cnf(c_126872,plain, 28.48/4.63 ( $sum_int(-1,count(remove(X0_3,remove(5,add(sK2,sK0))))) = -1 28.48/4.63 | count(remove(X0_3,remove(5,add(sK2,sK0)))) = 1 ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_126847,c_22716,c_126838]) ). 28.48/4.63 28.48/4.63 cnf(c_130316,plain, 28.48/4.63 ( count(remove(X0_3,remove(5,add(sK2,sK0)))) = 1 28.48/4.63 | count(remove(X0_3,remove(5,add(sK2,sK0)))) = 0 ), 28.48/4.63 inference(smt_theory_normalisation,[status(thm)],[c_126872]) ). 28.48/4.63 28.48/4.63 cnf(c_1593,plain, 28.48/4.63 ( count(add(X0_3,X0_13)) = count(X0_13) 28.48/4.63 | count(remove(X0_3,X0_13)) = count(X0_13) ), 28.48/4.63 inference(superposition,[status(thm)],[c_79,c_71]) ). 28.48/4.63 28.48/4.63 cnf(c_130339,plain, 28.48/4.63 ( count(add(X0_3,remove(5,add(sK2,sK0)))) = count(remove(5,add(sK2,sK0))) 28.48/4.63 | count(remove(X0_3,remove(5,add(sK2,sK0)))) = 1 28.48/4.63 | count(remove(5,add(sK2,sK0))) = 0 ), 28.48/4.63 inference(superposition,[status(thm)],[c_130316,c_1593]) ). 28.48/4.63 28.48/4.63 cnf(c_130345,plain, 28.48/4.63 ( count(add(X0_3,remove(5,add(sK2,sK0)))) = 1 28.48/4.63 | count(remove(X0_3,remove(5,add(sK2,sK0)))) = 1 28.48/4.63 | 1 = 0 ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_130339,c_126838]) ). 28.48/4.63 28.48/4.63 cnf(c_81,plain, 28.48/4.63 ( count(X0_13) != 0 | X0_13 = empty ), 28.48/4.63 inference(cnf_transformation,[],[f74]) ). 28.48/4.63 28.48/4.63 cnf(c_1900,plain, 28.48/4.63 ( 1 != 0 | remove(sK1,sK0) = empty ), 28.48/4.63 inference(superposition,[status(thm)],[c_1899,c_81]) ). 28.48/4.63 28.48/4.63 cnf(c_111,plain, 28.48/4.63 ( ~ $less_int(1,1) ), 28.48/4.63 inference(instantiation,[status(thm)],[c_55]) ). 28.48/4.63 28.48/4.63 cnf(c_112,plain, 28.48/4.63 ( 1 = 1 | $less_int(1,1) ), 28.48/4.63 inference(instantiation,[status(thm)],[c_53]) ). 28.48/4.63 28.48/4.63 cnf(c_115,plain,( $less_int(0,1) ),theory(arith) ). 28.48/4.63 28.48/4.63 cnf(c_743,plain, 28.48/4.63 ( X0_3 != X1_3 28.48/4.63 | X2_3 != X3_3 28.48/4.63 | ~ $less_int(X1_3,X3_3) 28.48/4.63 | $less_int(X0_3,X2_3) ), 28.48/4.63 theory(equality) ). 28.48/4.63 28.48/4.63 cnf(c_1703,plain, 28.48/4.63 ( X0_3 != 0 | X1_3 != 1 | ~ $less_int(0,1) | $less_int(X0_3,X1_3) ), 28.48/4.63 inference(instantiation,[status(thm)],[c_743]) ). 28.48/4.63 28.48/4.63 cnf(c_1704,plain, 28.48/4.63 ( 1 != 1 | 1 != 0 | ~ $less_int(0,1) | $less_int(1,1) ), 28.48/4.63 inference(instantiation,[status(thm)],[c_1703]) ). 28.48/4.63 28.48/4.63 cnf(c_3428,plain, 28.48/4.63 ( 1 != 0 ), 28.48/4.63 inference(global_propositional_subsumption, 28.48/4.63 [status(thm)], 28.48/4.63 [c_1900,c_111,c_112,c_115,c_1704]) ). 28.48/4.63 28.48/4.63 cnf(c_130346,plain, 28.48/4.63 ( count(add(X0_3,remove(5,add(sK2,sK0)))) = 1 28.48/4.63 | count(remove(X0_3,remove(5,add(sK2,sK0)))) = 1 ), 28.48/4.63 inference(forward_subsumption_resolution,[status(thm)],[c_130345,c_3428]) ). 28.48/4.63 28.48/4.63 cnf(c_166788,plain, 28.48/4.63 ( count(remove(5,add(sK2,sK0))) != 1 28.48/4.63 | ~ in(X0_3,remove(5,add(sK2,sK0))) 28.48/4.63 | count(add(X0_3,remove(5,add(sK2,sK0)))) = 1 ), 28.48/4.63 inference(superposition,[status(thm)],[c_130346,c_78]) ). 28.48/4.63 28.48/4.63 cnf(c_166791,plain, 28.48/4.63 ( ~ in(X0_3,remove(5,add(sK2,sK0))) 28.48/4.63 | count(add(X0_3,remove(5,add(sK2,sK0)))) = 1 ), 28.48/4.63 inference(forward_subsumption_resolution, 28.48/4.63 [status(thm)], 28.48/4.63 [c_166788,c_126838]) ). 28.48/4.63 28.48/4.63 cnf(c_166817,plain, 28.48/4.63 ( ~ in(X0_3,add(sK2,sK0)) 28.48/4.63 | count(add(X0_3,remove(5,add(sK2,sK0)))) = 1 28.48/4.63 | X0_3 = 5 ), 28.48/4.63 inference(superposition,[status(thm)],[c_69,c_166791]) ). 28.48/4.63 28.48/4.63 cnf(c_166830,plain, 28.48/4.63 ( count(add(X0_3,remove(5,add(sK2,sK0)))) = 1 28.48/4.63 | count(remove(X0_3,add(sK2,sK0))) = count(add(sK2,sK0)) 28.48/4.63 | X0_3 = 5 ), 28.48/4.63 inference(superposition,[status(thm)],[c_79,c_166817]) ). 28.48/4.63 28.48/4.63 cnf(c_166843,plain, 28.48/4.63 ( count(add(X0_3,remove(5,add(sK2,sK0)))) = 1 28.48/4.63 | count(remove(X0_3,add(sK2,sK0))) = 2 28.48/4.63 | X0_3 = 5 ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_166830,c_1599]) ). 28.48/4.63 28.48/4.63 cnf(c_72,plain, 28.48/4.63 ( count(add(X0_3,X0_13)) != count(X0_13) | in(X0_3,X0_13) ), 28.48/4.63 inference(cnf_transformation,[],[f65]) ). 28.48/4.63 28.48/4.63 cnf(c_166903,plain, 28.48/4.63 ( count(remove(5,add(sK2,sK0))) != 1 28.48/4.63 | count(remove(X0_3,add(sK2,sK0))) = 2 28.48/4.63 | X0_3 = 5 28.48/4.63 | in(X0_3,remove(5,add(sK2,sK0))) ), 28.48/4.63 inference(superposition,[status(thm)],[c_166843,c_72]) ). 28.48/4.63 28.48/4.63 cnf(c_166928,plain, 28.48/4.63 ( count(remove(X0_3,add(sK2,sK0))) = 2 28.48/4.63 | X0_3 = 5 28.48/4.63 | in(X0_3,remove(5,add(sK2,sK0))) ), 28.48/4.63 inference(forward_subsumption_resolution, 28.48/4.63 [status(thm)], 28.48/4.63 [c_166903,c_126838]) ). 28.48/4.63 28.48/4.63 cnf(c_126840,plain, 28.48/4.63 ( count(remove(sK1,add(sK2,sK0))) = 1 ), 28.48/4.63 inference(superposition,[status(thm)],[c_87,c_121395]) ). 28.48/4.63 28.48/4.63 cnf(c_126895,plain, 28.48/4.63 ( count(add(sK1,add(sK2,sK0))) = count(add(sK2,sK0)) 28.48/4.63 | count(add(sK2,sK0)) = 1 ), 28.48/4.63 inference(superposition,[status(thm)],[c_126840,c_1593]) ). 28.48/4.63 28.48/4.63 cnf(c_126899,plain, 28.48/4.63 ( count(add(sK1,add(sK2,sK0))) = 2 | 1 = 2 ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_126895,c_1599]) ). 28.48/4.63 28.48/4.63 cnf(c_126900,plain, 28.48/4.63 ( count(add(sK1,add(sK2,sK0))) = 2 ), 28.48/4.63 inference(forward_subsumption_resolution,[status(thm)],[c_126899,c_1905]) ). 28.48/4.63 28.48/4.63 cnf(c_130094,plain, 28.48/4.63 ( count(add(sK2,sK0)) != 2 | in(sK1,add(sK2,sK0)) ), 28.48/4.63 inference(superposition,[status(thm)],[c_126900,c_72]) ). 28.48/4.63 28.48/4.63 cnf(c_130109,plain, 28.48/4.63 ( in(sK1,add(sK2,sK0)) ), 28.48/4.63 inference(forward_subsumption_resolution,[status(thm)],[c_130094,c_1599]) ). 28.48/4.63 28.48/4.63 cnf(c_166833,plain, 28.48/4.63 ( count(add(sK1,remove(5,add(sK2,sK0)))) = 1 | sK1 = 5 ), 28.48/4.63 inference(superposition,[status(thm)],[c_130109,c_166817]) ). 28.48/4.63 28.48/4.63 cnf(c_83,negated_conjecture, 28.48/4.63 ( $less_int(sK1,3) ), 28.48/4.63 inference(cnf_transformation,[],[f80]) ). 28.48/4.63 28.48/4.63 cnf(c_118,plain,( $less_int(3,5) ),theory(arith) ). 28.48/4.63 28.48/4.63 cnf(c_54,plain, 28.48/4.63 ( ~ $less_int(X0_3,X1_3) 28.48/4.63 | ~ $less_int(X2_3,X0_3) 28.48/4.63 | $less_int(X2_3,X1_3) ), 28.48/4.63 inference(cnf_transformation,[],[f23]) ). 28.48/4.63 28.48/4.63 cnf(c_1563,plain, 28.48/4.63 ( ~ $less_int(X0_3,sK1) | ~ $less_int(sK1,3) | $less_int(X0_3,3) ), 28.48/4.63 inference(instantiation,[status(thm)],[c_54]) ). 28.48/4.63 28.48/4.63 cnf(c_2298,plain, 28.48/4.63 ( ~ $less_int(sK1,3) | ~ $less_int(3,sK1) | $less_int(3,3) ), 28.48/4.63 inference(instantiation,[status(thm)],[c_1563]) ). 28.48/4.63 28.48/4.63 cnf(c_2299,plain, 28.48/4.63 ( ~ $less_int(3,3) ), 28.48/4.63 inference(instantiation,[status(thm)],[c_55]) ). 28.48/4.63 28.48/4.63 cnf(c_737,plain,( X0_3 = X0_3 ),theory(equality) ). 28.48/4.63 28.48/4.63 cnf(c_3319,plain,( 3 = 3 ),inference(instantiation,[status(thm)],[c_737]) ). 28.48/4.63 28.48/4.63 cnf(c_1709,plain, 28.48/4.63 ( X0_3 != 3 | X1_3 != 5 | ~ $less_int(3,5) | $less_int(X0_3,X1_3) ), 28.48/4.63 inference(instantiation,[status(thm)],[c_743]) ). 28.48/4.63 28.48/4.63 cnf(c_3318,plain, 28.48/4.63 ( X0_3 != 5 | 3 != 3 | ~ $less_int(3,5) | $less_int(3,X0_3) ), 28.48/4.63 inference(instantiation,[status(thm)],[c_1709]) ). 28.48/4.63 28.48/4.63 cnf(c_38776,plain, 28.48/4.63 ( sK1 != 5 | 3 != 3 | ~ $less_int(3,5) | $less_int(3,sK1) ), 28.48/4.63 inference(instantiation,[status(thm)],[c_3318]) ). 28.48/4.63 28.48/4.63 cnf(c_167995,plain, 28.48/4.63 ( count(add(sK1,remove(5,add(sK2,sK0)))) = 1 ), 28.48/4.63 inference(global_propositional_subsumption, 28.48/4.63 [status(thm)], 28.48/4.63 [c_166833,c_83,c_118,c_2298,c_2299,c_3319,c_38776]) ). 28.48/4.63 28.48/4.63 cnf(c_168000,plain, 28.48/4.63 ( count(remove(5,add(sK2,sK0))) != 1 | in(sK1,remove(5,add(sK2,sK0))) ), 28.48/4.63 inference(superposition,[status(thm)],[c_167995,c_72]) ). 28.48/4.63 28.48/4.63 cnf(c_168015,plain, 28.48/4.63 ( in(sK1,remove(5,add(sK2,sK0))) ), 28.48/4.63 inference(forward_subsumption_resolution, 28.48/4.63 [status(thm)], 28.48/4.63 [c_168000,c_126838]) ). 28.48/4.63 28.48/4.63 cnf(c_70,plain, 28.48/4.63 ( ~ in(X0_3,X0_13) | add(X0_3,remove(X0_3,X0_13)) = X0_13 ), 28.48/4.63 inference(cnf_transformation,[],[f64]) ). 28.48/4.63 28.48/4.63 cnf(c_168021,plain, 28.48/4.63 ( add(sK1,remove(sK1,remove(5,add(sK2,sK0)))) = remove(5,add(sK2,sK0)) ), 28.48/4.63 inference(superposition,[status(thm)],[c_168015,c_70]) ). 28.48/4.63 28.48/4.63 cnf(c_168019,plain, 28.48/4.63 ( $sum_int(1,count(remove(sK1,remove(5,add(sK2,sK0))))) = count(remove(5,add(sK2,sK0))) ), 28.48/4.63 inference(superposition,[status(thm)],[c_168015,c_455]) ). 28.48/4.63 28.48/4.63 cnf(c_168025,plain, 28.48/4.63 ( $sum_int(1,count(remove(sK1,remove(5,add(sK2,sK0))))) = 1 ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_168019,c_126838]) ). 28.48/4.63 28.48/4.63 cnf(c_168085,plain, 28.48/4.63 ( count(remove(sK1,remove(5,add(sK2,sK0)))) = 0 ), 28.48/4.63 inference(smt_theory_normalisation,[status(thm)],[c_168025]) ). 28.48/4.63 28.48/4.63 cnf(c_168096,plain, 28.48/4.63 ( remove(sK1,remove(5,add(sK2,sK0))) = empty ), 28.48/4.63 inference(superposition,[status(thm)],[c_168085,c_81]) ). 28.48/4.63 28.48/4.63 cnf(c_168124,plain, 28.48/4.63 ( remove(5,add(sK2,sK0)) = add(sK1,empty) ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_168021,c_168096]) ). 28.48/4.63 28.48/4.63 cnf(c_168128,plain, 28.48/4.63 ( count(remove(X0_3,add(sK2,sK0))) = 2 28.48/4.63 | X0_3 = 5 28.48/4.63 | in(X0_3,add(sK1,empty)) ), 28.48/4.63 inference(demodulation,[status(thm)],[c_166928,c_168124]) ). 28.48/4.63 28.48/4.63 cnf(c_1595,plain, 28.48/4.63 ( count(add(5,sK0)) = count(sK0) ), 28.48/4.63 inference(superposition,[status(thm)],[c_82,c_71]) ). 28.48/4.63 28.48/4.63 cnf(c_1600,plain, 28.48/4.63 ( count(add(5,sK0)) = 2 ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_1595,c_86]) ). 28.48/4.63 28.48/4.63 cnf(c_120336,plain, 28.48/4.63 ( $sum_int($uminus_int(2),count(remove(X0_3,add(5,sK0)))) = -1 28.48/4.63 | count(remove(X0_3,add(5,sK0))) = count(add(5,sK0)) ), 28.48/4.63 inference(superposition,[status(thm)],[c_1600,c_120324]) ). 28.48/4.63 28.48/4.63 cnf(c_120525,plain, 28.48/4.63 ( $sum_int(-2,count(remove(X0_3,add(5,sK0)))) = -1 28.48/4.63 | count(remove(X0_3,add(5,sK0))) = 2 ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_120336,c_1600,c_63046]) ). 28.48/4.63 28.48/4.63 cnf(c_121400,plain, 28.48/4.63 ( count(remove(X0_3,add(5,sK0))) = 1 28.48/4.63 | count(remove(X0_3,add(5,sK0))) = 2 ), 28.48/4.63 inference(smt_theory_normalisation,[status(thm)],[c_120525]) ). 28.48/4.63 28.48/4.63 cnf(c_121424,plain, 28.48/4.63 ( count(add(5,sK0)) != 2 28.48/4.63 | ~ in(X0_3,add(5,sK0)) 28.48/4.63 | count(remove(X0_3,add(5,sK0))) = 1 ), 28.48/4.63 inference(superposition,[status(thm)],[c_121400,c_78]) ). 28.48/4.63 28.48/4.63 cnf(c_121428,plain, 28.48/4.63 ( ~ in(X0_3,add(5,sK0)) | count(remove(X0_3,add(5,sK0))) = 1 ), 28.48/4.63 inference(forward_subsumption_resolution,[status(thm)],[c_121424,c_1600]) ). 28.48/4.63 28.48/4.63 cnf(c_121611,plain, 28.48/4.63 ( ~ in(X0_3,sK0) | count(remove(X0_3,add(5,sK0))) = 1 ), 28.48/4.63 inference(superposition,[status(thm)],[c_64,c_121428]) ). 28.48/4.63 28.48/4.63 cnf(c_130828,plain, 28.48/4.63 ( count(remove(sK1,add(5,sK0))) = 1 ), 28.48/4.63 inference(superposition,[status(thm)],[c_87,c_121611]) ). 28.48/4.63 28.48/4.63 cnf(c_130931,plain, 28.48/4.63 ( count(add(sK1,add(5,sK0))) = count(add(5,sK0)) 28.48/4.63 | count(add(5,sK0)) = 1 ), 28.48/4.63 inference(superposition,[status(thm)],[c_130828,c_1593]) ). 28.48/4.63 28.48/4.63 cnf(c_130935,plain, 28.48/4.63 ( count(add(sK1,add(5,sK0))) = 2 | 1 = 2 ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_130931,c_1600]) ). 28.48/4.63 28.48/4.63 cnf(c_130936,plain, 28.48/4.63 ( count(add(sK1,add(5,sK0))) = 2 ), 28.48/4.63 inference(forward_subsumption_resolution,[status(thm)],[c_130935,c_1905]) ). 28.48/4.63 28.48/4.63 cnf(c_131419,plain, 28.48/4.63 ( count(add(5,sK0)) != 2 | in(sK1,add(5,sK0)) ), 28.48/4.63 inference(superposition,[status(thm)],[c_130936,c_72]) ). 28.48/4.63 28.48/4.63 cnf(c_131434,plain, 28.48/4.63 ( in(sK1,add(5,sK0)) ), 28.48/4.63 inference(forward_subsumption_resolution,[status(thm)],[c_131419,c_1600]) ). 28.48/4.63 28.48/4.63 cnf(c_130827,plain, 28.48/4.63 ( count(remove(sK2,add(5,sK0))) = 1 ), 28.48/4.63 inference(superposition,[status(thm)],[c_85,c_121611]) ). 28.48/4.63 28.48/4.63 cnf(c_130835,plain, 28.48/4.63 ( $sum_int($uminus_int(1),count(remove(X0_3,remove(sK2,add(5,sK0))))) = -1 28.48/4.63 | count(remove(X0_3,remove(sK2,add(5,sK0)))) = count(remove(sK2,add(5,sK0))) ), 28.48/4.63 inference(superposition,[status(thm)],[c_130827,c_120324]) ). 28.48/4.63 28.48/4.63 cnf(c_130860,plain, 28.48/4.63 ( $sum_int(-1,count(remove(X0_3,remove(sK2,add(5,sK0))))) = -1 28.48/4.63 | count(remove(X0_3,remove(sK2,add(5,sK0)))) = 1 ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_130835,c_22716,c_130827]) ). 28.48/4.63 28.48/4.63 cnf(c_131502,plain, 28.48/4.63 ( count(remove(X0_3,remove(sK2,add(5,sK0)))) = 1 28.48/4.63 | count(remove(X0_3,remove(sK2,add(5,sK0)))) = 0 ), 28.48/4.63 inference(smt_theory_normalisation,[status(thm)],[c_130860]) ). 28.48/4.63 28.48/4.63 cnf(c_131525,plain, 28.48/4.63 ( count(add(X0_3,remove(sK2,add(5,sK0)))) = count(remove(sK2,add(5,sK0))) 28.48/4.63 | count(remove(X0_3,remove(sK2,add(5,sK0)))) = 1 28.48/4.63 | count(remove(sK2,add(5,sK0))) = 0 ), 28.48/4.63 inference(superposition,[status(thm)],[c_131502,c_1593]) ). 28.48/4.63 28.48/4.63 cnf(c_131531,plain, 28.48/4.63 ( count(add(X0_3,remove(sK2,add(5,sK0)))) = 1 28.48/4.63 | count(remove(X0_3,remove(sK2,add(5,sK0)))) = 1 28.48/4.63 | 1 = 0 ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_131525,c_130827]) ). 28.48/4.63 28.48/4.63 cnf(c_131532,plain, 28.48/4.63 ( count(add(X0_3,remove(sK2,add(5,sK0)))) = 1 28.48/4.63 | count(remove(X0_3,remove(sK2,add(5,sK0)))) = 1 ), 28.48/4.63 inference(forward_subsumption_resolution,[status(thm)],[c_131531,c_3428]) ). 28.48/4.63 28.48/4.63 cnf(c_176238,plain, 28.48/4.63 ( count(remove(sK2,add(5,sK0))) != 1 28.48/4.63 | ~ in(X0_3,remove(sK2,add(5,sK0))) 28.48/4.63 | count(add(X0_3,remove(sK2,add(5,sK0)))) = 1 ), 28.48/4.63 inference(superposition,[status(thm)],[c_131532,c_78]) ). 28.48/4.63 28.48/4.63 cnf(c_176241,plain, 28.48/4.63 ( ~ in(X0_3,remove(sK2,add(5,sK0))) 28.48/4.63 | count(add(X0_3,remove(sK2,add(5,sK0)))) = 1 ), 28.48/4.63 inference(forward_subsumption_resolution, 28.48/4.63 [status(thm)], 28.48/4.63 [c_176238,c_130827]) ). 28.48/4.63 28.48/4.63 cnf(c_176267,plain, 28.48/4.63 ( ~ in(X0_3,add(5,sK0)) 28.48/4.63 | count(add(X0_3,remove(sK2,add(5,sK0)))) = 1 28.48/4.63 | X0_3 = sK2 ), 28.48/4.63 inference(superposition,[status(thm)],[c_69,c_176241]) ). 28.48/4.63 28.48/4.63 cnf(c_176283,plain, 28.48/4.63 ( count(add(sK1,remove(sK2,add(5,sK0)))) = 1 | sK1 = sK2 ), 28.48/4.63 inference(superposition,[status(thm)],[c_131434,c_176267]) ). 28.48/4.63 28.48/4.63 cnf(c_84,negated_conjecture, 28.48/4.63 ( $less_int(6,sK2) ), 28.48/4.63 inference(cnf_transformation,[],[f79]) ). 28.48/4.63 28.48/4.63 cnf(c_2535,plain,( 6 = 6 ),inference(instantiation,[status(thm)],[c_737]) ). 28.48/4.63 28.48/4.63 cnf(c_1266,plain, 28.48/4.63 ( ~ $less_int(X0_3,3) | $less_int(X0_3,5) ), 28.48/4.63 inference(superposition,[status(thm)],[c_118,c_54]) ). 28.48/4.63 28.48/4.63 cnf(c_2263,plain, 28.48/4.63 ( $less_int(sK1,5) ), 28.48/4.63 inference(superposition,[status(thm)],[c_83,c_1266]) ). 28.48/4.63 28.48/4.63 cnf(c_1267,plain, 28.48/4.63 ( ~ $less_int(X0_3,5) | $less_int(X0_3,6) ), 28.48/4.63 inference(superposition,[status(thm)],[c_119,c_54]) ). 28.48/4.63 28.48/4.63 cnf(c_2333,plain, 28.48/4.63 ( $less_int(sK1,6) ), 28.48/4.63 inference(superposition,[status(thm)],[c_2263,c_1267]) ). 28.48/4.63 28.48/4.63 cnf(c_1268,plain, 28.48/4.63 ( ~ $less_int(X0_3,X1_3) | $less_int(X0_3,$sum_int(X1_3,1)) ), 28.48/4.63 inference(superposition,[status(thm)],[c_1070,c_54]) ). 28.48/4.63 28.48/4.63 cnf(c_7558,plain, 28.48/4.63 ( ~ $less_int(X0_3,X1_3) | ~ $less_int(X1_3,X0_3) ), 28.48/4.63 inference(superposition,[status(thm)],[c_1268,c_49]) ). 28.48/4.63 28.48/4.63 cnf(c_9818,plain, 28.48/4.63 ( ~ $less_int(6,sK1) ), 28.48/4.63 inference(superposition,[status(thm)],[c_2333,c_7558]) ). 28.48/4.63 28.48/4.63 cnf(c_1701,plain, 28.48/4.63 ( X0_3 != 6 | X1_3 != sK2 | ~ $less_int(6,sK2) | $less_int(X0_3,X1_3) ), 28.48/4.63 inference(instantiation,[status(thm)],[c_743]) ). 28.48/4.63 28.48/4.63 cnf(c_2534,plain, 28.48/4.63 ( X0_3 != sK2 | 6 != 6 | ~ $less_int(6,sK2) | $less_int(6,X0_3) ), 28.48/4.63 inference(instantiation,[status(thm)],[c_1701]) ). 28.48/4.63 28.48/4.63 cnf(c_17427,plain, 28.48/4.63 ( sK1 != sK2 | 6 != 6 | ~ $less_int(6,sK2) | $less_int(6,sK1) ), 28.48/4.63 inference(instantiation,[status(thm)],[c_2534]) ). 28.48/4.63 28.48/4.63 cnf(c_176957,plain, 28.48/4.63 ( count(add(sK1,remove(sK2,add(5,sK0)))) = 1 ), 28.48/4.63 inference(global_propositional_subsumption, 28.48/4.63 [status(thm)], 28.48/4.63 [c_176283,c_84,c_2535,c_9818,c_17427]) ). 28.48/4.63 28.48/4.63 cnf(c_176962,plain, 28.48/4.63 ( count(remove(sK2,add(5,sK0))) != 1 | in(sK1,remove(sK2,add(5,sK0))) ), 28.48/4.63 inference(superposition,[status(thm)],[c_176957,c_72]) ). 28.48/4.63 28.48/4.63 cnf(c_176977,plain, 28.48/4.63 ( in(sK1,remove(sK2,add(5,sK0))) ), 28.48/4.63 inference(forward_subsumption_resolution, 28.48/4.63 [status(thm)], 28.48/4.63 [c_176962,c_130827]) ). 28.48/4.63 28.48/4.63 cnf(c_176983,plain, 28.48/4.63 ( add(sK1,remove(sK1,remove(sK2,add(5,sK0)))) = remove(sK2,add(5,sK0)) ), 28.48/4.63 inference(superposition,[status(thm)],[c_176977,c_70]) ). 28.48/4.63 28.48/4.63 cnf(c_176981,plain, 28.48/4.63 ( $sum_int(1,count(remove(sK1,remove(sK2,add(5,sK0))))) = count(remove(sK2,add(5,sK0))) ), 28.48/4.63 inference(superposition,[status(thm)],[c_176977,c_455]) ). 28.48/4.63 28.48/4.63 cnf(c_176987,plain, 28.48/4.63 ( $sum_int(1,count(remove(sK1,remove(sK2,add(5,sK0))))) = 1 ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_176981,c_130827]) ). 28.48/4.63 28.48/4.63 cnf(c_179932,plain, 28.48/4.63 ( count(remove(sK1,remove(sK2,add(5,sK0)))) = 0 ), 28.48/4.63 inference(smt_theory_normalisation,[status(thm)],[c_176987]) ). 28.48/4.63 28.48/4.63 cnf(c_179943,plain, 28.48/4.63 ( remove(sK1,remove(sK2,add(5,sK0))) = empty ), 28.48/4.63 inference(superposition,[status(thm)],[c_179932,c_81]) ). 28.48/4.63 28.48/4.63 cnf(c_179988,plain, 28.48/4.63 ( remove(sK2,add(5,sK0)) = add(sK1,empty) ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_176983,c_179943]) ). 28.48/4.63 28.48/4.63 cnf(c_67,plain, 28.48/4.63 ( ~ in(X0_3,remove(X0_3,X0_13)) ), 28.48/4.63 inference(cnf_transformation,[],[f83]) ). 28.48/4.63 28.48/4.63 cnf(c_180025,plain, 28.48/4.63 ( ~ in(sK2,add(sK1,empty)) ), 28.48/4.63 inference(superposition,[status(thm)],[c_179988,c_67]) ). 28.48/4.63 28.48/4.63 cnf(c_180418,plain, 28.48/4.63 ( count(remove(sK2,add(sK2,sK0))) = 2 | sK2 = 5 ), 28.48/4.63 inference(superposition,[status(thm)],[c_168128,c_180025]) ). 28.48/4.63 28.48/4.63 cnf(c_63,plain, 28.48/4.63 ( in(X0_3,add(X0_3,X0_13)) ), 28.48/4.63 inference(cnf_transformation,[],[f82]) ). 28.48/4.63 28.48/4.63 cnf(c_1807,plain, 28.48/4.63 ( $sum_int(1,count(remove(X0_3,add(X0_3,X0_13)))) = count(add(X0_3,X0_13)) ), 28.48/4.63 inference(superposition,[status(thm)],[c_63,c_455]) ). 28.48/4.63 28.48/4.63 cnf(c_16711,plain, 28.48/4.63 ( $sum_int(1,$sum_int(1,X0_3)) = $sum_int(2,X0_3) ), 28.48/4.63 inference(superposition,[status(thm)],[c_15170,c_59]) ). 28.48/4.63 28.48/4.63 cnf(c_18366,plain, 28.48/4.63 ( $sum_int(2,count(remove(X0_3,add(X0_3,X0_13)))) = $sum_int(1,count(add(X0_3,X0_13))) ), 28.48/4.63 inference(superposition,[status(thm)],[c_1807,c_16711]) ). 28.48/4.63 28.48/4.63 cnf(c_61713,plain, 28.48/4.63 ( count(remove(X0_3,add(X0_3,X0_13))) = $sum_int(-1,count(add(X0_3,X0_13))) ), 28.48/4.63 inference(smt_theory_normalisation,[status(thm)],[c_18366]) ). 28.48/4.63 28.48/4.63 cnf(c_61719,plain, 28.48/4.63 ( count(remove(sK2,add(sK2,sK0))) = $sum_int(-1,2) ), 28.48/4.63 inference(superposition,[status(thm)],[c_1599,c_61713]) ). 28.48/4.63 28.48/4.63 cnf(c_61804,plain, 28.48/4.63 ( count(remove(sK2,add(sK2,sK0))) = $sum_int(2,-1) ), 28.48/4.63 inference(theory_normalisation,[status(thm)],[c_61719,c_59,c_60]) ). 28.48/4.63 28.48/4.63 cnf(c_17205,plain, 28.48/4.63 ( $sum_int(2,$uminus_int(1)) = 1 ), 28.48/4.63 inference(superposition,[status(thm)],[c_16710,c_1216]) ). 28.48/4.63 28.48/4.63 cnf(c_22717,plain, 28.48/4.63 ( $sum_int(2,-1) = 1 ), 28.48/4.63 inference(demodulation,[status(thm)],[c_17205,c_22716]) ). 28.48/4.63 28.48/4.63 cnf(c_61805,plain, 28.48/4.63 ( count(remove(sK2,add(sK2,sK0))) = 1 ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_61804,c_22717]) ). 28.48/4.63 28.48/4.63 cnf(c_180419,plain, 28.48/4.63 ( sK2 = 5 | 1 = 2 ), 28.48/4.63 inference(light_normalisation,[status(thm)],[c_180418,c_61805]) ). 28.48/4.63 28.48/4.63 cnf(c_180420,plain, 28.48/4.63 ( sK2 = 5 ), 28.48/4.63 inference(forward_subsumption_resolution,[status(thm)],[c_180419,c_1905]) ). 28.48/4.63 28.48/4.63 cnf(c_180560,plain, 28.48/4.63 ( $less_int(sK2,6) ), 28.48/4.63 inference(demodulation,[status(thm)],[c_119,c_180420]) ). 28.48/4.63 28.48/4.63 cnf(c_9710,plain, 28.48/4.63 ( ~ $less_int(sK2,6) ), 28.48/4.63 inference(superposition,[status(thm)],[c_84,c_7558]) ). 28.48/4.63 28.48/4.63 cnf(c_180563,plain, 28.48/4.63 ( $false ), 28.48/4.63 inference(forward_subsumption_resolution,[status(thm)],[c_180560,c_9710]) ). 28.48/4.63 28.48/4.63 28.48/4.63 % SZS output end CNFRefutation for theBenchmark.p 28.48/4.63 28.48/4.63 28.48/4.64 EOF