0.10/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.13 % Command : python3 prover_driver.py --schedule_mode external --schedule tfa_schedule --no_cores 8 --problem_version tff /export/starexec/sandbox2/benchmark/theBenchmark.p 120 --prover /export/starexec/sandbox2/solver/bin/res/iproveropt_z3 0.14/0.35 % Computer : n007.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 960 0.14/0.35 % WCLimit : 120 0.14/0.35 % DateTime : Tue Aug 9 01:52:42 EDT 2022 0.14/0.35 % CPUTime : 1.04/1.72 % SZS status Started for /export/starexec/sandbox2/benchmark/theBenchmark.p 1.04/1.72 1.04/1.72 %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------% 1.04/1.72 1.04/1.72 ------ iProver source info 1.04/1.72 1.04/1.72 git: date: 2022-07-26 19:47:37 +0300 1.04/1.72 git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1 1.04/1.72 git: non_committed_changes: false 1.04/1.72 git: last_make_outside_of_git: false 1.04/1.72 1.04/1.72 ------ Parsing... 1.04/1.72 ------ Clausification by vclausify_rel & Parsing by iProver... 1.04/1.72 1.04/1.72 ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e 1.04/1.72 1.04/1.72 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e 1.04/1.72 1.04/1.72 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 1.04/1.72 ------ Proving... 1.04/1.72 ------ Problem Properties 1.04/1.72 1.04/1.72 1.04/1.72 clauses 23 1.04/1.72 conjectures 1 1.04/1.72 EPR 4 1.04/1.72 Horn 19 1.04/1.72 unary 13 1.04/1.72 binary 6 1.04/1.72 lits 38 1.04/1.72 lits eq 25 1.04/1.72 fd_pure 0 1.04/1.72 fd_pseudo 0 1.04/1.72 fd_cond 0 1.04/1.72 fd_pseudo_cond 2 1.04/1.72 AC symbols 2 1.04/1.72 1.04/1.72 ------ Input Options Time Limit: Unbounded 1.04/1.72 1.04/1.72 1.04/1.72 ------ 1.04/1.72 Current options: 1.04/1.72 ------ 1.04/1.72 1.04/1.72 ------ Input Options 1.04/1.72 1.04/1.72 --out_options all 1.04/1.72 --tptp_safe_out true 1.04/1.72 --problem_path "" 1.04/1.72 --include_path "" 1.04/1.72 --clausifier res/vclausify_rel 1.04/1.72 --clausifier_options --mode tclausify -t 124.99996089935303 --show_fool true 1.04/1.72 --stdin false 1.04/1.72 --suppress_sat_res false 1.04/1.72 --suppress_unsat_res false 1.04/1.72 --stats_out none 1.04/1.72 --stats_mem false 1.04/1.72 --theory_stats_out false 1.04/1.72 1.04/1.72 ------ General Options 1.04/1.72 1.04/1.72 --fof false 1.04/1.72 --time_out_real 125. 1.04/1.72 --time_out_virtual -1. 1.04/1.72 --rnd_seed 13 1.04/1.72 --symbol_type_check false 1.04/1.72 --clausify_out false 1.04/1.72 --sig_cnt_out false 1.04/1.72 --trig_cnt_out false 1.04/1.72 --trig_cnt_out_tolerance 1. 1.04/1.72 --trig_cnt_out_sk_spl false 1.04/1.72 --abstr_cl_out false 1.04/1.72 1.04/1.72 ------ Global Options 1.04/1.72 1.04/1.72 --schedule none 1.04/1.72 --add_important_lit false 1.04/1.72 --prop_solver_per_cl 500 1.04/1.72 --subs_bck_mult 8 1.04/1.72 --min_unsat_core false 1.04/1.72 --soft_assumptions false 1.04/1.72 --soft_lemma_size 3 1.04/1.72 --prop_impl_unit_size 0 1.04/1.72 --prop_impl_unit [] 1.04/1.72 --share_sel_clauses true 1.04/1.72 --reset_solvers false 1.04/1.72 --bc_imp_inh [conj_cone] 1.04/1.72 --conj_cone_tolerance 3. 1.04/1.72 --extra_neg_conj none 1.04/1.72 --large_theory_mode true 1.04/1.72 --prolific_symb_bound 200 1.04/1.72 --lt_threshold 2000 1.04/1.72 --clause_weak_htbl true 1.04/1.72 --gc_record_bc_elim false 1.04/1.72 1.04/1.72 ------ Preprocessing Options 1.04/1.72 1.04/1.72 --preprocessing_flag true 1.04/1.72 --time_out_prep_mult 0.1 1.04/1.72 --splitting_mode input 1.04/1.72 --splitting_grd true 1.04/1.72 --splitting_cvd false 1.04/1.72 --splitting_cvd_svl false 1.04/1.72 --splitting_nvd 32 1.04/1.72 --sub_typing false 1.04/1.72 --prep_gs_sim true 1.04/1.72 --prep_unflatten true 1.04/1.72 --prep_res_sim true 1.04/1.72 --prep_sup_sim_all true 1.04/1.72 --prep_sup_sim_sup false 1.04/1.72 --prep_upred true 1.04/1.72 --prep_well_definedness true 1.04/1.72 --prep_sem_filter exhaustive 1.04/1.72 --prep_sem_filter_out false 1.04/1.72 --pred_elim true 1.04/1.72 --res_sim_input true 1.04/1.72 --eq_ax_congr_red true 1.04/1.72 --pure_diseq_elim true 1.04/1.72 --brand_transform false 1.04/1.72 --non_eq_to_eq false 1.04/1.72 --prep_def_merge true 1.04/1.72 --prep_def_merge_prop_impl false 1.04/1.72 --prep_def_merge_mbd true 1.04/1.72 --prep_def_merge_tr_red false 1.04/1.72 --prep_def_merge_tr_cl false 1.04/1.72 --smt_preprocessing false 1.04/1.72 --smt_ac_axioms fast 1.04/1.72 --preprocessed_out false 1.04/1.72 --preprocessed_stats false 1.04/1.72 1.04/1.72 ------ Abstraction refinement Options 1.04/1.72 1.04/1.72 --abstr_ref [] 1.04/1.72 --abstr_ref_prep false 1.04/1.72 --abstr_ref_until_sat false 1.04/1.72 --abstr_ref_sig_restrict funpre 1.04/1.72 --abstr_ref_af_restrict_to_split_sk false 1.04/1.72 --abstr_ref_under [] 1.04/1.72 1.04/1.72 ------ SAT Options 1.04/1.72 1.04/1.72 --sat_mode false 1.04/1.72 --sat_fm_restart_options "" 1.04/1.72 --sat_gr_def false 1.04/1.72 --sat_epr_types true 1.04/1.72 --sat_non_cyclic_types false 1.04/1.72 --sat_finite_models false 1.04/1.72 --sat_fm_lemmas false 1.04/1.72 --sat_fm_prep false 1.04/1.72 --sat_fm_uc_incr true 1.04/1.72 --sat_out_model small 1.04/1.72 --sat_out_clauses false 1.04/1.72 1.04/1.72 ------ QBF Options 1.04/1.72 1.04/1.72 --qbf_mode false 1.04/1.72 --qbf_elim_univ false 1.04/1.72 --qbf_dom_inst none 1.04/1.72 --qbf_dom_pre_inst false 1.04/1.72 --qbf_sk_in false 1.04/1.72 --qbf_pred_elim true 1.04/1.72 --qbf_split 512 1.04/1.72 1.04/1.72 ------ BMC1 Options 1.04/1.72 1.04/1.72 --bmc1_incremental false 1.04/1.72 --bmc1_axioms reachable_all 1.04/1.72 --bmc1_min_bound 0 1.04/1.72 --bmc1_max_bound -1 1.04/1.72 --bmc1_max_bound_default -1 1.04/1.72 --bmc1_symbol_reachability true 1.04/1.72 --bmc1_property_lemmas false 1.04/1.72 --bmc1_k_induction false 1.04/1.72 --bmc1_non_equiv_states false 1.04/1.72 --bmc1_deadlock false 1.04/1.72 --bmc1_ucm false 1.04/1.72 --bmc1_add_unsat_core none 1.04/1.72 --bmc1_unsat_core_children false 1.04/1.72 --bmc1_unsat_core_extrapolate_axioms false 1.04/1.72 --bmc1_out_stat full 1.04/1.72 --bmc1_ground_init false 1.04/1.72 --bmc1_pre_inst_next_state false 1.04/1.72 --bmc1_pre_inst_state false 1.04/1.72 --bmc1_pre_inst_reach_state false 1.04/1.72 --bmc1_out_unsat_core false 1.04/1.72 --bmc1_aig_witness_out false 1.04/1.72 --bmc1_verbose false 1.04/1.72 --bmc1_dump_clauses_tptp false 1.04/1.72 --bmc1_dump_unsat_core_tptp false 1.04/1.72 --bmc1_dump_file - 1.04/1.72 --bmc1_ucm_expand_uc_limit 128 1.04/1.72 --bmc1_ucm_n_expand_iterations 6 1.04/1.72 --bmc1_ucm_extend_mode 1 1.04/1.72 --bmc1_ucm_init_mode 2 1.04/1.72 --bmc1_ucm_cone_mode none 1.04/1.72 --bmc1_ucm_reduced_relation_type 0 1.04/1.72 --bmc1_ucm_relax_model 4 1.04/1.72 --bmc1_ucm_full_tr_after_sat true 1.04/1.72 --bmc1_ucm_expand_neg_assumptions false 1.04/1.72 --bmc1_ucm_layered_model none 1.04/1.72 --bmc1_ucm_max_lemma_size 10 1.04/1.72 1.04/1.72 ------ AIG Options 1.04/1.72 1.04/1.72 --aig_mode false 1.04/1.72 1.04/1.72 ------ Instantiation Options 1.04/1.72 1.04/1.72 --instantiation_flag true 1.04/1.72 --inst_sos_flag false 1.04/1.72 --inst_sos_phase true 1.04/1.72 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb] 1.04/1.72 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] 1.04/1.72 --inst_lit_sel_side num_symb 1.04/1.72 --inst_solver_per_active 1400 1.04/1.72 --inst_solver_calls_frac 1. 1.04/1.72 --inst_passive_queue_type priority_queues 1.04/1.72 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] 1.04/1.72 --inst_passive_queues_freq [25;2] 1.04/1.72 --inst_dismatching true 1.04/1.72 --inst_eager_unprocessed_to_passive true 1.04/1.72 --inst_prop_sim_given true 1.04/1.72 --inst_prop_sim_new false 1.04/1.72 --inst_subs_new false 1.04/1.72 --inst_eq_res_simp false 1.04/1.72 --inst_subs_given false 1.04/1.72 --inst_orphan_elimination true 1.04/1.72 --inst_learning_loop_flag true 1.04/1.72 --inst_learning_start 3000 1.04/1.72 --inst_learning_factor 2 1.04/1.72 --inst_start_prop_sim_after_learn 3 1.04/1.72 --inst_sel_renew solver 1.04/1.72 --inst_lit_activity_flag true 1.04/1.72 --inst_restr_to_given false 1.04/1.72 --inst_activity_threshold 500 1.04/1.72 --inst_out_proof true 1.04/1.72 1.04/1.72 ------ Resolution Options 1.04/1.72 1.04/1.72 --resolution_flag true 1.04/1.72 --res_lit_sel adaptive 1.04/1.72 --res_lit_sel_side none 1.04/1.72 --res_ordering kbo 1.04/1.72 --res_to_prop_solver active 1.04/1.72 --res_prop_simpl_new false 1.04/1.72 --res_prop_simpl_given true 1.04/1.72 --res_passive_queue_type priority_queues 1.04/1.72 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] 1.04/1.72 --res_passive_queues_freq [15;5] 1.04/1.72 --res_forward_subs full 1.04/1.72 --res_backward_subs full 1.04/1.72 --res_forward_subs_resolution true 1.04/1.72 --res_backward_subs_resolution true 1.04/1.72 --res_orphan_elimination true 1.04/1.72 --res_time_limit 300. 1.04/1.72 --res_out_proof true 1.04/1.72 1.04/1.72 ------ Superposition Options 1.04/1.72 1.04/1.72 --superposition_flag true 1.04/1.72 --sup_passive_queue_type priority_queues 1.04/1.72 --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]] 1.04/1.72 --sup_passive_queues_freq [8;1;4;4] 1.04/1.72 --demod_completeness_check fast 1.04/1.72 --demod_use_ground true 1.04/1.72 --sup_to_prop_solver passive 1.04/1.72 --sup_prop_simpl_new true 1.04/1.72 --sup_prop_simpl_given true 1.04/1.72 --sup_fun_splitting false 1.04/1.72 --sup_iter_deepening 2 1.04/1.72 --sup_restarts_mult 12 1.04/1.72 --sup_score sim_d_gen 1.04/1.72 --sup_share_score_frac 0.2 1.04/1.72 --sup_share_max_num_cl 500 1.04/1.72 --sup_ordering kbo 1.04/1.72 --sup_symb_ordering invfreq 1.04/1.72 --sup_term_weight default 1.04/1.72 1.04/1.72 ------ Superposition Simplification Setup 1.04/1.72 1.04/1.72 --sup_indices_passive [] 1.04/1.72 --sup_full_triv [SMTSimplify;PropSubs] 1.04/1.72 --sup_full_fw [ACNormalisation;FwDemod;FwGroundJoinability;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes] 1.04/1.72 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 1.04/1.72 --sup_immed_triv [] 1.04/1.72 --sup_immed_fw_main [] 1.04/1.72 --sup_immed_fw_immed [] 1.04/1.72 --sup_immed_bw_main [] 1.04/1.72 --sup_immed_bw_immed [] 1.04/1.72 --sup_input_triv [] 1.04/1.72 --sup_input_fw [FwACDemod;ACNormalisation;FwDemod;FwGroundJoinability;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes] 1.04/1.72 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 1.04/1.72 --sup_full_fixpoint true 1.04/1.72 --sup_main_fixpoint true 1.04/1.72 --sup_immed_fixpoint false 1.04/1.72 --sup_input_fixpoint true 1.04/1.72 --sup_cache_sim none 1.04/1.72 --sup_smt_interval 500 1.04/1.72 --sup_bw_gjoin_interval 0 1.04/1.72 1.04/1.72 ------ Combination Options 1.04/1.72 1.04/1.72 --comb_mode clause_based 1.04/1.72 --comb_inst_mult 5 1.04/1.72 --comb_res_mult 1 1.04/1.72 --comb_sup_mult 8 1.04/1.72 --comb_sup_deep_mult 2 1.04/1.72 1.04/1.72 ------ Debug Options 1.04/1.72 1.04/1.72 --dbg_backtrace false 1.04/1.72 --dbg_dump_prop_clauses false 1.04/1.72 --dbg_dump_prop_clauses_file - 1.04/1.72 --dbg_out_stat false 1.04/1.72 --dbg_just_parse false 1.04/1.72 1.04/1.72 1.04/1.72 1.04/1.72 1.04/1.72 ------ Proving... 1.04/1.72 1.04/1.72 1.04/1.72 % SZS status Theorem for theBenchmark.p 1.04/1.72 1.04/1.72 % SZS output start CNFRefutation for theBenchmark.p 1.04/1.72 1.04/1.72 tff(f1,conjecture,( 1.04/1.72 (0 = b | 0 = a | c = 0) <=> 0 = $product($product($product(a,b),b),c)), 1.04/1.72 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)). 1.04/1.72 1.04/1.72 tff(f2,negated_conjecture,( 1.04/1.72 ~((0 = b | 0 = a | c = 0) <=> 0 = $product($product($product(a,b),b),c))), 1.04/1.72 inference(negated_conjecture,[],[f1])). 1.04/1.72 1.04/1.72 tff(f21,plain,( 1.04/1.72 (0 = b | 0 = a | c = 0) <~> 0 = $product($product($product(a,b),b),c)), 1.04/1.72 inference(ennf_transformation,[],[f2])). 1.04/1.72 1.04/1.72 tff(f22,plain,( 1.04/1.72 (0 != $product($product($product(a,b),b),c) | (0 != b & 0 != a & c != 0)) & (0 = $product($product($product(a,b),b),c) | (0 = b | 0 = a | c = 0))), 1.04/1.72 inference(nnf_transformation,[],[f21])). 1.04/1.72 1.04/1.72 tff(f23,plain,( 1.04/1.72 (0 != $product($product($product(a,b),b),c) | (0 != b & 0 != a & c != 0)) & (0 = $product($product($product(a,b),b),c) | 0 = b | 0 = a | c = 0)), 1.04/1.72 inference(flattening,[],[f22])). 1.04/1.72 1.04/1.72 tff(f27,plain,( 1.04/1.72 0 != $product($product($product(a,b),b),c) | 0 != b), 1.04/1.72 inference(cnf_transformation,[],[f23])). 1.04/1.72 1.04/1.72 tff(f15,plain,( 1.04/1.72 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($product(X0,$product(X1,X2)) = $product($product(X0,X1),X2)) )), 1.04/1.72 introduced(theory_axiom_144,[])). 1.04/1.72 1.04/1.72 tff(f14,plain,( 1.04/1.72 ( ! [X0 : $int,X1 : $int] : ($product(X0,X1) = $product(X1,X0)) )), 1.04/1.72 introduced(theory_axiom_143,[])). 1.04/1.72 1.04/1.72 tff(f4,plain,( 1.04/1.72 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )), 1.04/1.72 introduced(theory_axiom_144,[])). 1.04/1.72 1.04/1.72 tff(f3,plain,( 1.04/1.72 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )), 1.04/1.72 introduced(theory_axiom_143,[])). 1.04/1.72 1.04/1.72 tff(f17,plain,( 1.04/1.72 ( ! [X0 : $int] : (0 = $product(X0,0)) )), 1.04/1.72 introduced(theory_axiom_157,[])). 1.04/1.72 1.04/1.72 tff(f24,plain,( 1.04/1.72 0 = $product($product($product(a,b),b),c) | 0 = b | 0 = a | c = 0), 1.04/1.72 inference(cnf_transformation,[],[f23])). 1.04/1.72 1.04/1.72 tff(f19,plain,( 1.04/1.72 ( ! [X2 : $int,X0 : $int,X3 : $int,X1 : $int] : (0 = X0 | $product(X0,X2) != X1 | $product(X0,X3) != X1 | X2 = X3) )), 1.04/1.72 introduced(theory_axiom_159,[])). 1.04/1.72 1.04/1.72 tff(f28,plain,( 1.04/1.72 ( ! [X2 : $int,X0 : $int,X3 : $int] : (0 = X0 | $product(X0,X2) != $product(X0,X3) | X2 = X3) )), 1.04/1.72 inference(equality_resolution,[],[f19])). 1.04/1.72 1.04/1.72 tff(f25,plain,( 1.04/1.72 0 != $product($product($product(a,b),b),c) | c != 0), 1.04/1.72 inference(cnf_transformation,[],[f23])). 1.04/1.72 1.04/1.72 tff(f26,plain,( 1.04/1.72 0 != $product($product($product(a,b),b),c) | 0 != a), 1.04/1.72 inference(cnf_transformation,[],[f23])). 1.04/1.72 1.04/1.72 cnf(c_67,negated_conjecture, 1.04/1.72 ( $product_int($product_int($product_int(a,b),b),c) != 0 | b != 0 ), 1.04/1.72 inference(cnf_transformation,[],[f27]) ). 1.04/1.72 1.04/1.72 cnf(c_54,plain, 1.04/1.72 ( $product_int($product_int(X0_3,X1_3),X2_3) = $product_int(X0_3,$product_int(X1_3,X2_3)) ), 1.04/1.72 inference(cnf_transformation,[],[f15]) ). 1.04/1.72 1.04/1.72 cnf(c_55,plain, 1.04/1.72 ( $product_int(X0_3,X1_3) = $product_int(X1_3,X0_3) ), 1.04/1.72 inference(cnf_transformation,[],[f14]) ). 1.04/1.72 1.04/1.72 cnf(c_65,plain, 1.04/1.72 ( $sum_int($sum_int(X0_3,X1_3),X2_3) = $sum_int(X0_3,$sum_int(X1_3,X2_3)) ), 1.04/1.72 inference(cnf_transformation,[],[f4]) ). 1.04/1.72 1.04/1.72 cnf(c_66,plain, 1.04/1.72 ( $sum_int(X0_3,X1_3) = $sum_int(X1_3,X0_3) ), 1.04/1.72 inference(cnf_transformation,[],[f3]) ). 1.04/1.72 1.04/1.72 cnf(c_87,negated_conjecture, 1.04/1.72 ( $product_int(b,$product_int(b,$product_int(a,c))) != 0 | b != 0 ), 1.04/1.72 inference(theory_normalisation,[status(thm)],[c_67,c_54,c_55,c_65,c_66]) ). 1.04/1.72 1.04/1.72 cnf(c_97,plain, 1.04/1.72 ( b != 0 | $product_int(b,$product_int(b,$product_int(a,c))) != 0 ), 1.04/1.72 inference(prop_impl,[status(thm)],[c_87]) ). 1.04/1.72 1.04/1.72 cnf(c_98,plain, 1.04/1.72 ( $product_int(b,$product_int(b,$product_int(a,c))) != 0 | b != 0 ), 1.04/1.72 inference(renaming,[status(thm)],[c_97]) ). 1.04/1.72 1.04/1.72 cnf(c_52,plain, 1.04/1.72 ( $product_int(X0_3,0) = 0 ), 1.04/1.72 inference(cnf_transformation,[],[f17]) ). 1.04/1.72 1.04/1.72 cnf(c_70,negated_conjecture, 1.04/1.72 ( $product_int($product_int($product_int(a,b),b),c) = 0 1.04/1.72 | a = 0 1.04/1.72 | b = 0 1.04/1.72 | c = 0 ), 1.04/1.72 inference(cnf_transformation,[],[f24]) ). 1.04/1.72 1.04/1.72 cnf(c_90,negated_conjecture, 1.04/1.72 ( $product_int(b,$product_int(b,$product_int(a,c))) = 0 1.04/1.72 | a = 0 1.04/1.72 | b = 0 1.04/1.72 | c = 0 ), 1.04/1.72 inference(theory_normalisation,[status(thm)],[c_70,c_54,c_55,c_65,c_66]) ). 1.04/1.72 1.04/1.72 cnf(c_50,plain, 1.04/1.72 ( $product_int(X0_3,X1_3) != $product_int(X0_3,X2_3) 1.04/1.72 | X0_3 = 0 1.04/1.72 | X1_3 = X2_3 ), 1.04/1.72 inference(cnf_transformation,[],[f28]) ). 1.04/1.72 1.04/1.72 cnf(c_1029,plain, 1.04/1.72 ( $product_int(b,X0_3) != 0 1.04/1.72 | $product_int(b,$product_int(a,c)) = X0_3 1.04/1.72 | a = 0 1.04/1.72 | b = 0 1.04/1.72 | c = 0 ), 1.04/1.72 inference(superposition,[status(thm)],[c_90,c_50]) ). 1.04/1.72 1.04/1.72 cnf(c_1135,plain, 1.04/1.72 ( $product_int(b,$product_int(a,c)) = 0 | a = 0 | b = 0 | c = 0 ), 1.04/1.72 inference(superposition,[status(thm)],[c_52,c_1029]) ). 1.04/1.72 1.04/1.72 cnf(c_1228,plain, 1.04/1.72 ( $product_int(b,$product_int(a,c)) = $product_int(a,c) 1.04/1.72 | a = 0 1.04/1.72 | b = 0 1.04/1.72 | c = 0 ), 1.04/1.72 inference(superposition,[status(thm)],[c_1135,c_1029]) ). 1.04/1.72 1.04/1.72 cnf(c_1271,plain, 1.04/1.72 ( $product_int(a,c) = 0 | a = 0 | b = 0 | c = 0 ), 1.04/1.72 inference(superposition,[status(thm)],[c_1228,c_90]) ). 1.04/1.72 1.04/1.72 cnf(c_1321,plain, 1.04/1.72 ( $product_int(a,X0_3) != 0 | X0_3 = c | a = 0 | b = 0 | c = 0 ), 1.04/1.72 inference(superposition,[status(thm)],[c_1271,c_50]) ). 1.04/1.72 1.04/1.72 cnf(c_1553,plain, 1.04/1.72 ( a = 0 | b = 0 | c = 0 ), 1.04/1.72 inference(superposition,[status(thm)],[c_52,c_1321]) ). 1.04/1.72 1.04/1.72 cnf(c_69,negated_conjecture, 1.04/1.72 ( $product_int($product_int($product_int(a,b),b),c) != 0 | c != 0 ), 1.04/1.72 inference(cnf_transformation,[],[f25]) ). 1.04/1.72 1.04/1.72 cnf(c_89,negated_conjecture, 1.04/1.72 ( $product_int(b,$product_int(b,$product_int(a,c))) != 0 | c != 0 ), 1.04/1.72 inference(theory_normalisation,[status(thm)],[c_69,c_54,c_55,c_65,c_66]) ). 1.04/1.72 1.04/1.72 cnf(c_101,plain, 1.04/1.72 ( c != 0 | $product_int(b,$product_int(b,$product_int(a,c))) != 0 ), 1.04/1.72 inference(prop_impl,[status(thm)],[c_89]) ). 1.04/1.72 1.04/1.72 cnf(c_102,plain, 1.04/1.72 ( $product_int(b,$product_int(b,$product_int(a,c))) != 0 | c != 0 ), 1.04/1.72 inference(renaming,[status(thm)],[c_101]) ). 1.04/1.72 1.04/1.72 cnf(c_1818,plain, 1.04/1.72 ( $product_int(b,$product_int(b,$product_int(a,0))) != 0 1.04/1.72 | c != 0 1.04/1.72 | a = 0 1.04/1.72 | b = 0 ), 1.04/1.72 inference(superposition,[status(thm)],[c_1553,c_102]) ). 1.04/1.72 1.04/1.72 cnf(c_2130,plain, 1.04/1.72 ( c != 0 | a = 0 | b = 0 ), 1.04/1.72 inference(smt_theory_normalisation,[status(thm)],[c_1818]) ). 1.04/1.72 1.04/1.72 cnf(c_2131,plain, 1.04/1.72 ( a = 0 | b = 0 ), 1.04/1.72 inference(global_propositional_subsumption,[status(thm)],[c_2130,c_1553]) ). 1.04/1.72 1.04/1.72 cnf(c_68,negated_conjecture, 1.04/1.72 ( $product_int($product_int($product_int(a,b),b),c) != 0 | a != 0 ), 1.04/1.72 inference(cnf_transformation,[],[f26]) ). 1.04/1.72 1.04/1.72 cnf(c_88,negated_conjecture, 1.04/1.72 ( $product_int(b,$product_int(b,$product_int(a,c))) != 0 | a != 0 ), 1.04/1.72 inference(theory_normalisation,[status(thm)],[c_68,c_54,c_55,c_65,c_66]) ). 1.04/1.72 1.04/1.72 cnf(c_99,plain, 1.04/1.72 ( a != 0 | $product_int(b,$product_int(b,$product_int(a,c))) != 0 ), 1.04/1.72 inference(prop_impl,[status(thm)],[c_88]) ). 1.04/1.72 1.04/1.72 cnf(c_100,plain, 1.04/1.72 ( $product_int(b,$product_int(b,$product_int(a,c))) != 0 | a != 0 ), 1.04/1.72 inference(renaming,[status(thm)],[c_99]) ). 1.04/1.72 1.04/1.72 cnf(c_2138,plain, 1.04/1.72 ( $product_int(b,$product_int(b,$product_int(0,c))) != 0 1.04/1.72 | a != 0 1.04/1.72 | b = 0 ), 1.04/1.72 inference(superposition,[status(thm)],[c_2131,c_100]) ). 1.04/1.72 1.04/1.72 cnf(c_2604,plain, 1.04/1.72 ( a != 0 | b = 0 ), 1.04/1.72 inference(smt_theory_normalisation,[status(thm)],[c_2138]) ). 1.04/1.72 1.04/1.72 cnf(c_2605,plain, 1.04/1.72 ( b = 0 ), 1.04/1.72 inference(global_propositional_subsumption,[status(thm)],[c_2604,c_2131]) ). 1.04/1.72 1.04/1.72 cnf(c_2611,plain, 1.04/1.72 ( $product_int(0,$product_int(0,$product_int(a,c))) != 0 | 0 != 0 ), 1.04/1.72 inference(demodulation,[status(thm)],[c_98,c_2605]) ). 1.04/1.72 1.04/1.72 cnf(c_2612,plain, 1.04/1.72 ( $product_int(0,$product_int(0,$product_int(a,c))) != 0 ), 1.04/1.72 inference(equality_resolution_simp,[status(thm)],[c_2611]) ). 1.04/1.72 1.04/1.72 cnf(c_2627,plain, 1.04/1.72 ( $false ), 1.04/1.72 inference(smt_theory_normalisation,[status(thm)],[c_2612]) ). 1.04/1.72 1.04/1.72 1.04/1.72 % SZS output end CNFRefutation for theBenchmark.p 1.04/1.72 1.04/1.72 1.04/1.74 EOF