0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : python3 prover_driver.py --schedule_mode external --schedule fof_schedule --no_cores 8 --problem_version fof /export/starexec/sandbox/benchmark/theBenchmark.p 120 --prover /export/starexec/sandbox/solver/bin/res/iproveropt_no_z3 0.15/0.34 % Computer : n004.cluster.edu 0.15/0.34 % Model : x86_64 x86_64 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.34 % Memory : 8042.1875MB 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.34 % CPULimit : 960 0.15/0.34 % WCLimit : 120 0.15/0.34 % DateTime : Tue Aug 9 05:38:20 EDT 2022 0.15/0.35 % CPUTime : 277.76/36.71 % SZS status Started for /export/starexec/sandbox/benchmark/theBenchmark.p 277.76/36.71 277.76/36.71 %---------------- iProver v3.6 (pre CASC-J11 2022) ----------------% 277.76/36.71 277.76/36.71 ------ iProver source info 277.76/36.71 277.76/36.71 git: date: 2022-07-26 19:47:37 +0300 277.76/36.71 git: sha1: 69e283425f6c8ae3fb9e67f2058d741e849b12e1 277.76/36.71 git: non_committed_changes: false 277.76/36.71 git: last_make_outside_of_git: false 277.76/36.71 277.76/36.71 ------ Parsing... 277.76/36.71 ------ Clausification by vclausify_rel & Parsing by iProver... 277.76/36.71 277.76/36.71 ------ Preprocessing... sup_sim: 0 sf_s rm: 35 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 8 0s sf_e pe_s pe_e 277.76/36.71 277.76/36.71 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e 277.76/36.71 277.76/36.71 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e 277.76/36.71 ------ Proving... 277.76/36.71 ------ Problem Properties 277.76/36.71 277.76/36.71 277.76/36.71 clauses 35 277.76/36.71 conjectures 8 277.76/36.71 EPR 2 277.76/36.71 Horn 19 277.76/36.71 unary 5 277.76/36.71 binary 8 277.76/36.71 lits 102 277.76/36.71 lits eq 20 277.76/36.71 fd_pure 0 277.76/36.71 fd_pseudo 0 277.76/36.71 fd_cond 0 277.76/36.71 fd_pseudo_cond 0 277.76/36.71 AC symbols 0 277.76/36.71 277.76/36.71 ------ Input Options Time Limit: Unbounded 277.76/36.71 277.76/36.71 277.76/36.71 ------ 277.76/36.71 Current options: 277.76/36.71 ------ 277.76/36.71 277.76/36.71 ------ Input Options 277.76/36.71 277.76/36.71 --out_options all 277.76/36.71 --tptp_safe_out true 277.76/36.71 --problem_path "" 277.76/36.71 --include_path "" 277.76/36.71 --clausifier res/vclausify_rel 277.76/36.71 --clausifier_options --mode clausify -t 120.92724442481995 277.76/36.71 --stdin false 277.76/36.71 --suppress_sat_res false 277.76/36.71 --suppress_unsat_res false 277.76/36.71 --stats_out sel 277.76/36.71 --stats_mem false 277.76/36.71 --theory_stats_out false 277.76/36.71 277.76/36.71 ------ General Options 277.76/36.71 277.76/36.71 --fof false 277.76/36.71 --time_out_real 120.93 277.76/36.71 --time_out_virtual -1. 277.76/36.71 --rnd_seed 13 277.76/36.71 --symbol_type_check false 277.76/36.71 --clausify_out false 277.76/36.71 --sig_cnt_out false 277.76/36.71 --trig_cnt_out false 277.76/36.71 --trig_cnt_out_tolerance 1. 277.76/36.71 --trig_cnt_out_sk_spl false 277.76/36.71 --abstr_cl_out false 277.76/36.71 277.76/36.71 ------ Global Options 277.76/36.71 277.76/36.71 --schedule none 277.76/36.71 --add_important_lit false 277.76/36.71 --prop_solver_per_cl 1024 277.76/36.71 --subs_bck_mult 8 277.76/36.71 --min_unsat_core false 277.76/36.71 --soft_assumptions false 277.76/36.71 --soft_lemma_size 3 277.76/36.71 --prop_impl_unit_size 0 277.76/36.71 --prop_impl_unit [] 277.76/36.71 --share_sel_clauses true 277.76/36.71 --reset_solvers false 277.76/36.71 --bc_imp_inh [conj_cone] 277.76/36.71 --conj_cone_tolerance 3. 277.76/36.71 --extra_neg_conj none 277.76/36.71 --large_theory_mode true 277.76/36.71 --prolific_symb_bound 256 277.76/36.71 --lt_threshold 2000 277.76/36.71 --clause_weak_htbl true 277.76/36.71 --gc_record_bc_elim false 277.76/36.71 277.76/36.71 ------ Preprocessing Options 277.76/36.71 277.76/36.71 --preprocessing_flag true 277.76/36.71 --time_out_prep_mult 0.1 277.76/36.71 --splitting_mode input 277.76/36.71 --splitting_grd true 277.76/36.71 --splitting_cvd false 277.76/36.71 --splitting_cvd_svl false 277.76/36.71 --splitting_nvd 32 277.76/36.71 --sub_typing false 277.76/36.71 --prep_gs_sim true 277.76/36.71 --prep_unflatten true 277.76/36.71 --prep_res_sim true 277.76/36.71 --prep_sup_sim_all true 277.76/36.71 --prep_sup_sim_sup false 277.76/36.71 --prep_upred true 277.76/36.71 --prep_well_definedness true 277.76/36.71 --prep_sem_filter exhaustive 277.76/36.71 --prep_sem_filter_out false 277.76/36.71 --pred_elim true 277.76/36.71 --res_sim_input true 277.76/36.71 --eq_ax_congr_red true 277.76/36.71 --pure_diseq_elim true 277.76/36.71 --brand_transform false 277.76/36.71 --non_eq_to_eq false 277.76/36.71 --prep_def_merge true 277.76/36.71 --prep_def_merge_prop_impl false 277.76/36.71 --prep_def_merge_mbd true 277.76/36.71 --prep_def_merge_tr_red false 277.76/36.71 --prep_def_merge_tr_cl false 277.76/36.71 --smt_preprocessing true 277.76/36.71 --smt_ac_axioms fast 277.76/36.71 --preprocessed_out false 277.76/36.71 --preprocessed_stats false 277.76/36.71 277.76/36.71 ------ Abstraction refinement Options 277.76/36.71 277.76/36.71 --abstr_ref [] 277.76/36.71 --abstr_ref_prep false 277.76/36.71 --abstr_ref_until_sat false 277.76/36.71 --abstr_ref_sig_restrict funpre 277.76/36.71 --abstr_ref_af_restrict_to_split_sk false 277.76/36.71 --abstr_ref_under [] 277.76/36.71 277.76/36.71 ------ SAT Options 277.76/36.71 277.76/36.71 --sat_mode false 277.76/36.71 --sat_fm_restart_options "" 277.76/36.71 --sat_gr_def false 277.76/36.71 --sat_epr_types true 277.76/36.71 --sat_non_cyclic_types false 277.76/36.71 --sat_finite_models false 277.76/36.71 --sat_fm_lemmas false 277.76/36.71 --sat_fm_prep false 277.76/36.71 --sat_fm_uc_incr true 277.76/36.71 --sat_out_model small 277.76/36.71 --sat_out_clauses false 277.76/36.71 277.76/36.71 ------ QBF Options 277.76/36.71 277.76/36.71 --qbf_mode false 277.76/36.71 --qbf_elim_univ false 277.76/36.71 --qbf_dom_inst none 277.76/36.71 --qbf_dom_pre_inst false 277.76/36.71 --qbf_sk_in false 277.76/36.71 --qbf_pred_elim true 277.76/36.71 --qbf_split 512 277.76/36.71 277.76/36.71 ------ BMC1 Options 277.76/36.71 277.76/36.71 --bmc1_incremental false 277.76/36.71 --bmc1_axioms reachable_all 277.76/36.71 --bmc1_min_bound 0 277.76/36.71 --bmc1_max_bound -1 277.76/36.71 --bmc1_max_bound_default -1 277.76/36.71 --bmc1_symbol_reachability true 277.76/36.71 --bmc1_property_lemmas false 277.76/36.71 --bmc1_k_induction false 277.76/36.71 --bmc1_non_equiv_states false 277.76/36.71 --bmc1_deadlock false 277.76/36.71 --bmc1_ucm false 277.76/36.71 --bmc1_add_unsat_core none 277.76/36.71 --bmc1_unsat_core_children false 277.76/36.71 --bmc1_unsat_core_extrapolate_axioms false 277.76/36.71 --bmc1_out_stat full 277.76/36.71 --bmc1_ground_init false 277.76/36.71 --bmc1_pre_inst_next_state false 277.76/36.71 --bmc1_pre_inst_state false 277.76/36.71 --bmc1_pre_inst_reach_state false 277.76/36.71 --bmc1_out_unsat_core false 277.76/36.71 --bmc1_aig_witness_out false 277.76/36.71 --bmc1_verbose false 277.76/36.71 --bmc1_dump_clauses_tptp false 277.76/36.71 --bmc1_dump_unsat_core_tptp false 277.76/36.71 --bmc1_dump_file - 277.76/36.71 --bmc1_ucm_expand_uc_limit 128 277.76/36.71 --bmc1_ucm_n_expand_iterations 6 277.76/36.71 --bmc1_ucm_extend_mode 1 277.76/36.71 --bmc1_ucm_init_mode 2 277.76/36.71 --bmc1_ucm_cone_mode none 277.76/36.71 --bmc1_ucm_reduced_relation_type 0 277.76/36.71 --bmc1_ucm_relax_model 4 277.76/36.71 --bmc1_ucm_full_tr_after_sat true 277.76/36.71 --bmc1_ucm_expand_neg_assumptions false 277.76/36.71 --bmc1_ucm_layered_model none 277.76/36.71 --bmc1_ucm_max_lemma_size 10 277.76/36.71 277.76/36.71 ------ AIG Options 277.76/36.71 277.76/36.71 --aig_mode false 277.76/36.71 277.76/36.71 ------ Instantiation Options 277.76/36.71 277.76/36.71 --instantiation_flag true 277.76/36.71 --inst_sos_flag false 277.76/36.71 --inst_sos_phase true 277.76/36.71 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var] 277.76/36.71 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb] 277.76/36.71 --inst_lit_sel_side num_symb 277.76/36.71 --inst_solver_per_active 1400 277.76/36.71 --inst_solver_calls_frac 1. 277.76/36.71 --inst_passive_queue_type priority_queues 277.76/36.71 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]] 277.76/36.71 --inst_passive_queues_freq [25;2] 277.76/36.71 --inst_dismatching true 277.76/36.71 --inst_eager_unprocessed_to_passive true 277.76/36.71 --inst_prop_sim_given true 277.76/36.71 --inst_prop_sim_new false 277.76/36.71 --inst_subs_new false 277.76/36.71 --inst_eq_res_simp false 277.76/36.71 --inst_subs_given false 277.76/36.71 --inst_orphan_elimination true 277.76/36.71 --inst_learning_loop_flag true 277.76/36.71 --inst_learning_start 3000 277.76/36.71 --inst_learning_factor 2 277.76/36.71 --inst_start_prop_sim_after_learn 3 277.76/36.71 --inst_sel_renew solver 277.76/36.71 --inst_lit_activity_flag true 277.76/36.71 --inst_restr_to_given false 277.76/36.71 --inst_activity_threshold 500 277.76/36.71 --inst_out_proof true 277.76/36.71 277.76/36.71 ------ Resolution Options 277.76/36.71 277.76/36.71 --resolution_flag true 277.76/36.71 --res_lit_sel adaptive 277.76/36.71 --res_lit_sel_side none 277.76/36.71 --res_ordering kbo 277.76/36.71 --res_to_prop_solver active 277.76/36.71 --res_prop_simpl_new false 277.76/36.71 --res_prop_simpl_given true 277.76/36.71 --res_passive_queue_type priority_queues 277.76/36.71 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]] 277.76/36.71 --res_passive_queues_freq [15;5] 277.76/36.71 --res_forward_subs full 277.76/36.71 --res_backward_subs full 277.76/36.71 --res_forward_subs_resolution true 277.76/36.71 --res_backward_subs_resolution true 277.76/36.71 --res_orphan_elimination true 277.76/36.71 --res_time_limit 300. 277.76/36.71 --res_out_proof true 277.76/36.71 277.76/36.71 ------ Superposition Options 277.76/36.71 277.76/36.71 --superposition_flag true 277.76/36.71 --sup_passive_queue_type priority_queues 277.76/36.71 --sup_passive_queues [[-conj_dist;-num_symb];[+age;-num_symb];[+score;-num_symb]] 277.76/36.71 --sup_passive_queues_freq [8;4;4] 277.76/36.71 --demod_completeness_check fast 277.76/36.71 --demod_use_ground true 277.76/36.71 --sup_to_prop_solver passive 277.76/36.71 --sup_prop_simpl_new true 277.76/36.71 --sup_prop_simpl_given true 277.76/36.71 --sup_fun_splitting false 277.76/36.71 --sup_iter_deepening 2 277.76/36.71 --sup_restarts_mult 2 277.76/36.71 --sup_score sim_d_gen 277.76/36.71 --sup_share_score_frac 0.2 277.76/36.71 --sup_share_max_num_cl 500 277.76/36.71 --sup_ordering kbo 277.76/36.71 --sup_symb_ordering invfreq 277.76/36.71 --sup_term_weight default 277.76/36.71 277.76/36.71 ------ Superposition Simplification Setup 277.76/36.71 277.76/36.71 --sup_indices_passive [LightNormIndex;UnitSubsumptionIndex] 277.76/36.71 --sup_full_triv [PropSubs] 277.76/36.71 --sup_full_fw [FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes] 277.76/36.71 --sup_full_bw [BwDemod;BwUnitSubsAndRes] 277.76/36.71 --sup_immed_triv [] 277.76/36.71 --sup_immed_fw_main [FwUnitSubsAndRes] 277.76/36.71 --sup_immed_fw_immed [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes] 277.76/36.71 --sup_immed_bw_main [BwUnitSubsAndRes] 277.76/36.71 --sup_immed_bw_immed [BwUnitSubsAndRes] 277.76/36.71 --sup_input_triv [Unflattening] 277.76/36.71 --sup_input_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes] 277.76/36.71 --sup_input_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes] 277.76/36.71 --sup_full_fixpoint true 277.76/36.71 --sup_main_fixpoint true 277.76/36.71 --sup_immed_fixpoint true 277.76/36.71 --sup_input_fixpoint true 277.76/36.71 --sup_cache_sim none 277.76/36.71 --sup_smt_interval 10000 277.76/36.71 --sup_bw_gjoin_interval 0 277.76/36.71 277.76/36.71 ------ Combination Options 277.76/36.71 277.76/36.71 --comb_mode clause_based 277.76/36.71 --comb_inst_mult 3 277.76/36.71 --comb_res_mult 1 277.76/36.71 --comb_sup_mult 0 277.76/36.71 --comb_sup_deep_mult 2 277.76/36.71 277.76/36.71 ------ Debug Options 277.76/36.71 277.76/36.71 --dbg_backtrace false 277.76/36.71 --dbg_dump_prop_clauses false 277.76/36.71 --dbg_dump_prop_clauses_file - 277.76/36.71 --dbg_out_stat false 277.76/36.71 --dbg_just_parse false 277.76/36.71 277.76/36.71 277.76/36.71 277.76/36.71 277.76/36.71 ------ Proving... 277.76/36.71 277.76/36.71 277.76/36.71 % SZS status Theorem for theBenchmark.p 277.76/36.71 277.76/36.71 % SZS output start CNFRefutation for theBenchmark.p 277.76/36.71 277.76/36.71 fof(f3,conjecture,( 277.76/36.71 ! [X0,X1] : ((element(X1,powerset(powerset(the_carrier(X0)))) & one_sorted_str(X0)) => ! [X2] : ? [X3] : ! [X4] : (in(X4,X3) <=> (? [X5,X6] : (in(X5,X1) & ! [X7] : (element(X7,powerset(the_carrier(X0))) => (X5 = X7 => subset_complement(the_carrier(X0),X7) = X6)) & ordered_pair(X5,X6) = X4) & in(X4,cartesian_product2(X1,X2)))))), 277.76/36.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_xboole_0__e4_7_2__tops_2__1)). 277.76/36.71 277.76/36.71 fof(f4,negated_conjecture,( 277.76/36.71 ~! [X0,X1] : ((element(X1,powerset(powerset(the_carrier(X0)))) & one_sorted_str(X0)) => ! [X2] : ? [X3] : ! [X4] : (in(X4,X3) <=> (? [X5,X6] : (in(X5,X1) & ! [X7] : (element(X7,powerset(the_carrier(X0))) => (X5 = X7 => subset_complement(the_carrier(X0),X7) = X6)) & ordered_pair(X5,X6) = X4) & in(X4,cartesian_product2(X1,X2)))))), 277.76/36.71 inference(negated_conjecture,[],[f3])). 277.76/36.71 277.76/36.71 fof(f51,plain,( 277.76/36.71 ? [X0,X1] : (? [X2] : ! [X3] : ? [X4] : (in(X4,X3) <~> (? [X5,X6] : (in(X5,X1) & ! [X7] : ((subset_complement(the_carrier(X0),X7) = X6 | X5 != X7) | ~element(X7,powerset(the_carrier(X0)))) & ordered_pair(X5,X6) = X4) & in(X4,cartesian_product2(X1,X2)))) & (element(X1,powerset(powerset(the_carrier(X0)))) & one_sorted_str(X0)))), 277.76/36.71 inference(ennf_transformation,[],[f4])). 277.76/36.71 277.76/36.71 fof(f52,plain,( 277.76/36.71 ? [X0,X1] : (? [X2] : ! [X3] : ? [X4] : (in(X4,X3) <~> (? [X5,X6] : (in(X5,X1) & ! [X7] : (subset_complement(the_carrier(X0),X7) = X6 | X5 != X7 | ~element(X7,powerset(the_carrier(X0)))) & ordered_pair(X5,X6) = X4) & in(X4,cartesian_product2(X1,X2)))) & element(X1,powerset(powerset(the_carrier(X0)))) & one_sorted_str(X0))), 277.76/36.71 inference(flattening,[],[f51])). 277.76/36.71 277.76/36.71 fof(f74,plain,( 277.76/36.71 ? [X0,X1] : (? [X2] : ! [X3] : ? [X4] : (((! [X5,X6] : (~in(X5,X1) | ? [X7] : (subset_complement(the_carrier(X0),X7) != X6 & X5 = X7 & element(X7,powerset(the_carrier(X0)))) | ordered_pair(X5,X6) != X4) | ~in(X4,cartesian_product2(X1,X2))) | ~in(X4,X3)) & ((? [X5,X6] : (in(X5,X1) & ! [X7] : (subset_complement(the_carrier(X0),X7) = X6 | X5 != X7 | ~element(X7,powerset(the_carrier(X0)))) & ordered_pair(X5,X6) = X4) & in(X4,cartesian_product2(X1,X2))) | in(X4,X3))) & element(X1,powerset(powerset(the_carrier(X0)))) & one_sorted_str(X0))), 277.76/36.71 inference(nnf_transformation,[],[f52])). 277.76/36.71 277.76/36.71 fof(f75,plain,( 277.76/36.71 ? [X0,X1] : (? [X2] : ! [X3] : ? [X4] : ((! [X5,X6] : (~in(X5,X1) | ? [X7] : (subset_complement(the_carrier(X0),X7) != X6 & X5 = X7 & element(X7,powerset(the_carrier(X0)))) | ordered_pair(X5,X6) != X4) | ~in(X4,cartesian_product2(X1,X2)) | ~in(X4,X3)) & ((? [X5,X6] : (in(X5,X1) & ! [X7] : (subset_complement(the_carrier(X0),X7) = X6 | X5 != X7 | ~element(X7,powerset(the_carrier(X0)))) & ordered_pair(X5,X6) = X4) & in(X4,cartesian_product2(X1,X2))) | in(X4,X3))) & element(X1,powerset(powerset(the_carrier(X0)))) & one_sorted_str(X0))), 277.76/36.71 inference(flattening,[],[f74])). 277.76/36.71 277.76/36.71 fof(f76,plain,( 277.76/36.71 ? [X0,X1] : (? [X2] : ! [X3] : ? [X4] : ((! [X5,X6] : (~in(X5,X1) | ? [X7] : (subset_complement(the_carrier(X0),X7) != X6 & X5 = X7 & element(X7,powerset(the_carrier(X0)))) | ordered_pair(X5,X6) != X4) | ~in(X4,cartesian_product2(X1,X2)) | ~in(X4,X3)) & ((? [X8,X9] : (in(X8,X1) & ! [X10] : (subset_complement(the_carrier(X0),X10) = X9 | X8 != X10 | ~element(X10,powerset(the_carrier(X0)))) & ordered_pair(X8,X9) = X4) & in(X4,cartesian_product2(X1,X2))) | in(X4,X3))) & element(X1,powerset(powerset(the_carrier(X0)))) & one_sorted_str(X0))), 277.76/36.71 inference(rectify,[],[f75])). 277.76/36.71 277.76/36.71 fof(f81,plain,( 277.76/36.71 ! [X3] : (? [X9,X8] : (in(X8,sK3) & ! [X10] : (subset_complement(the_carrier(sK2),X10) = X9 | X8 != X10 | ~element(X10,powerset(the_carrier(sK2)))) & ordered_pair(X8,X9) = sK5(X3)) => (in(sK7(X3),sK3) & ! [X10] : (subset_complement(the_carrier(sK2),X10) = sK8(X3) | sK7(X3) != X10 | ~element(X10,powerset(the_carrier(sK2)))) & sK5(X3) = ordered_pair(sK7(X3),sK8(X3))))), 277.76/36.71 introduced(choice_axiom,[])). 277.76/36.71 277.76/36.71 fof(f80,plain,( 277.76/36.71 ! [X5,X6] : (? [X7] : (subset_complement(the_carrier(sK2),X7) != X6 & X5 = X7 & element(X7,powerset(the_carrier(sK2)))) => (subset_complement(the_carrier(sK2),sK6(X5,X6)) != X6 & sK6(X5,X6) = X5 & element(sK6(X5,X6),powerset(the_carrier(sK2)))))), 277.76/36.71 introduced(choice_axiom,[])). 277.76/36.71 277.76/36.71 fof(f79,plain,( 277.76/36.71 ! [X3] : (? [X4] : ((! [X6,X5] : (~in(X5,sK3) | ? [X7] : (subset_complement(the_carrier(sK2),X7) != X6 & X5 = X7 & element(X7,powerset(the_carrier(sK2)))) | ordered_pair(X5,X6) != X4) | ~in(X4,cartesian_product2(sK3,sK4)) | ~in(X4,X3)) & ((? [X9,X8] : (in(X8,sK3) & ! [X10] : (subset_complement(the_carrier(sK2),X10) = X9 | X8 != X10 | ~element(X10,powerset(the_carrier(sK2)))) & ordered_pair(X8,X9) = X4) & in(X4,cartesian_product2(sK3,sK4))) | in(X4,X3))) => ((! [X6,X5] : (~in(X5,sK3) | ? [X7] : (subset_complement(the_carrier(sK2),X7) != X6 & X5 = X7 & element(X7,powerset(the_carrier(sK2)))) | ordered_pair(X5,X6) != sK5(X3)) | ~in(sK5(X3),cartesian_product2(sK3,sK4)) | ~in(sK5(X3),X3)) & ((? [X9,X8] : (in(X8,sK3) & ! [X10] : (subset_complement(the_carrier(sK2),X10) = X9 | X8 != X10 | ~element(X10,powerset(the_carrier(sK2)))) & ordered_pair(X8,X9) = sK5(X3)) & in(sK5(X3),cartesian_product2(sK3,sK4))) | in(sK5(X3),X3))))), 277.76/36.71 introduced(choice_axiom,[])). 277.76/36.71 277.76/36.71 fof(f78,plain,( 277.76/36.71 ? [X2] : ! [X3] : ? [X4] : ((! [X6,X5] : (~in(X5,sK3) | ? [X7] : (subset_complement(the_carrier(sK2),X7) != X6 & X5 = X7 & element(X7,powerset(the_carrier(sK2)))) | ordered_pair(X5,X6) != X4) | ~in(X4,cartesian_product2(sK3,X2)) | ~in(X4,X3)) & ((? [X9,X8] : (in(X8,sK3) & ! [X10] : (subset_complement(the_carrier(sK2),X10) = X9 | X8 != X10 | ~element(X10,powerset(the_carrier(sK2)))) & ordered_pair(X8,X9) = X4) & in(X4,cartesian_product2(sK3,X2))) | in(X4,X3))) => ! [X3] : ? [X4] : ((! [X6,X5] : (~in(X5,sK3) | ? [X7] : (subset_complement(the_carrier(sK2),X7) != X6 & X5 = X7 & element(X7,powerset(the_carrier(sK2)))) | ordered_pair(X5,X6) != X4) | ~in(X4,cartesian_product2(sK3,sK4)) | ~in(X4,X3)) & ((? [X9,X8] : (in(X8,sK3) & ! [X10] : (subset_complement(the_carrier(sK2),X10) = X9 | X8 != X10 | ~element(X10,powerset(the_carrier(sK2)))) & ordered_pair(X8,X9) = X4) & in(X4,cartesian_product2(sK3,sK4))) | in(X4,X3)))), 277.76/36.71 introduced(choice_axiom,[])). 277.76/36.71 277.76/36.71 fof(f77,plain,( 277.76/36.71 ? [X0,X1] : (? [X2] : ! [X3] : ? [X4] : ((! [X5,X6] : (~in(X5,X1) | ? [X7] : (subset_complement(the_carrier(X0),X7) != X6 & X5 = X7 & element(X7,powerset(the_carrier(X0)))) | ordered_pair(X5,X6) != X4) | ~in(X4,cartesian_product2(X1,X2)) | ~in(X4,X3)) & ((? [X8,X9] : (in(X8,X1) & ! [X10] : (subset_complement(the_carrier(X0),X10) = X9 | X8 != X10 | ~element(X10,powerset(the_carrier(X0)))) & ordered_pair(X8,X9) = X4) & in(X4,cartesian_product2(X1,X2))) | in(X4,X3))) & element(X1,powerset(powerset(the_carrier(X0)))) & one_sorted_str(X0)) => (? [X2] : ! [X3] : ? [X4] : ((! [X6,X5] : (~in(X5,sK3) | ? [X7] : (subset_complement(the_carrier(sK2),X7) != X6 & X5 = X7 & element(X7,powerset(the_carrier(sK2)))) | ordered_pair(X5,X6) != X4) | ~in(X4,cartesian_product2(sK3,X2)) | ~in(X4,X3)) & ((? [X9,X8] : (in(X8,sK3) & ! [X10] : (subset_complement(the_carrier(sK2),X10) = X9 | X8 != X10 | ~element(X10,powerset(the_carrier(sK2)))) & ordered_pair(X8,X9) = X4) & in(X4,cartesian_product2(sK3,X2))) | in(X4,X3))) & element(sK3,powerset(powerset(the_carrier(sK2)))) & one_sorted_str(sK2))), 277.76/36.71 introduced(choice_axiom,[])). 277.76/36.71 277.76/36.71 fof(f82,plain,( 277.76/36.71 ! [X3] : ((! [X5,X6] : (~in(X5,sK3) | (subset_complement(the_carrier(sK2),sK6(X5,X6)) != X6 & sK6(X5,X6) = X5 & element(sK6(X5,X6),powerset(the_carrier(sK2)))) | ordered_pair(X5,X6) != sK5(X3)) | ~in(sK5(X3),cartesian_product2(sK3,sK4)) | ~in(sK5(X3),X3)) & (((in(sK7(X3),sK3) & ! [X10] : (subset_complement(the_carrier(sK2),X10) = sK8(X3) | sK7(X3) != X10 | ~element(X10,powerset(the_carrier(sK2)))) & sK5(X3) = ordered_pair(sK7(X3),sK8(X3))) & in(sK5(X3),cartesian_product2(sK3,sK4))) | in(sK5(X3),X3))) & element(sK3,powerset(powerset(the_carrier(sK2)))) & one_sorted_str(sK2)), 277.76/36.71 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8])],[f76,f81,f80,f79,f78,f77])). 277.76/36.71 277.76/36.71 fof(f108,plain,( 277.76/36.71 ( ! [X3] : (in(sK7(X3),sK3) | in(sK5(X3),X3)) )), 277.76/36.71 inference(cnf_transformation,[],[f82])). 277.76/36.71 277.76/36.71 fof(f72,plain,( 277.76/36.71 ! [X2,X1,X0] : (? [X12] : ! [X13] : (in(X13,X12) <=> ? [X14] : (in(X14,cartesian_product2(X1,X2)) & ? [X15,X16] : (in(X15,X1) & ! [X17] : (subset_complement(the_carrier(X0),X17) = X16 | X15 != X17 | ~element(X17,powerset(the_carrier(X0)))) & ordered_pair(X15,X16) = X13) & X13 = X14)) | ~sP1(X2,X1,X0))), 277.76/36.71 introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])])). 277.76/36.71 277.76/36.71 fof(f85,plain,( 277.76/36.71 ! [X2,X1,X0] : (? [X12] : ! [X13] : ((in(X13,X12) | ! [X14] : (~in(X14,cartesian_product2(X1,X2)) | ! [X15,X16] : (~in(X15,X1) | ? [X17] : (subset_complement(the_carrier(X0),X17) != X16 & X15 = X17 & element(X17,powerset(the_carrier(X0)))) | ordered_pair(X15,X16) != X13) | X13 != X14)) & (? [X14] : (in(X14,cartesian_product2(X1,X2)) & ? [X15,X16] : (in(X15,X1) & ! [X17] : (subset_complement(the_carrier(X0),X17) = X16 | X15 != X17 | ~element(X17,powerset(the_carrier(X0)))) & ordered_pair(X15,X16) = X13) & X13 = X14) | ~in(X13,X12))) | ~sP1(X2,X1,X0))), 277.76/36.71 inference(nnf_transformation,[],[f72])). 277.76/36.71 277.76/36.71 fof(f86,plain,( 277.76/36.71 ! [X0,X1,X2] : (? [X3] : ! [X4] : ((in(X4,X3) | ! [X5] : (~in(X5,cartesian_product2(X1,X0)) | ! [X6,X7] : (~in(X6,X1) | ? [X8] : (subset_complement(the_carrier(X2),X8) != X7 & X6 = X8 & element(X8,powerset(the_carrier(X2)))) | ordered_pair(X6,X7) != X4) | X4 != X5)) & (? [X9] : (in(X9,cartesian_product2(X1,X0)) & ? [X10,X11] : (in(X10,X1) & ! [X12] : (subset_complement(the_carrier(X2),X12) = X11 | X10 != X12 | ~element(X12,powerset(the_carrier(X2)))) & ordered_pair(X10,X11) = X4) & X4 = X9) | ~in(X4,X3))) | ~sP1(X0,X1,X2))), 277.76/36.71 inference(rectify,[],[f85])). 277.76/36.71 277.76/36.71 fof(f90,plain,( 277.76/36.71 ! [X1,X2,X4] : (? [X10,X11] : (in(X10,X1) & ! [X12] : (subset_complement(the_carrier(X2),X12) = X11 | X10 != X12 | ~element(X12,powerset(the_carrier(X2)))) & ordered_pair(X10,X11) = X4) => (in(sK13(X1,X2,X4),X1) & ! [X12] : (subset_complement(the_carrier(X2),X12) = sK14(X1,X2,X4) | sK13(X1,X2,X4) != X12 | ~element(X12,powerset(the_carrier(X2)))) & ordered_pair(sK13(X1,X2,X4),sK14(X1,X2,X4)) = X4))), 277.76/36.71 introduced(choice_axiom,[])). 277.76/36.71 277.76/36.71 fof(f89,plain,( 277.76/36.71 ! [X0,X1,X2,X4] : (? [X9] : (in(X9,cartesian_product2(X1,X0)) & ? [X10,X11] : (in(X10,X1) & ! [X12] : (subset_complement(the_carrier(X2),X12) = X11 | X10 != X12 | ~element(X12,powerset(the_carrier(X2)))) & ordered_pair(X10,X11) = X4) & X4 = X9) => (in(sK12(X0,X1,X2,X4),cartesian_product2(X1,X0)) & ? [X10,X11] : (in(X10,X1) & ! [X12] : (subset_complement(the_carrier(X2),X12) = X11 | X10 != X12 | ~element(X12,powerset(the_carrier(X2)))) & ordered_pair(X10,X11) = X4) & sK12(X0,X1,X2,X4) = X4))), 277.76/36.71 introduced(choice_axiom,[])). 277.76/36.71 277.76/36.71 fof(f88,plain,( 277.76/36.71 ! [X2,X6,X7] : (? [X8] : (subset_complement(the_carrier(X2),X8) != X7 & X6 = X8 & element(X8,powerset(the_carrier(X2)))) => (subset_complement(the_carrier(X2),sK11(X2,X6,X7)) != X7 & sK11(X2,X6,X7) = X6 & element(sK11(X2,X6,X7),powerset(the_carrier(X2)))))), 277.76/36.71 introduced(choice_axiom,[])). 277.76/36.71 277.76/36.71 fof(f87,plain,( 277.76/36.71 ! [X0,X1,X2] : (? [X3] : ! [X4] : ((in(X4,X3) | ! [X5] : (~in(X5,cartesian_product2(X1,X0)) | ! [X6,X7] : (~in(X6,X1) | ? [X8] : (subset_complement(the_carrier(X2),X8) != X7 & X6 = X8 & element(X8,powerset(the_carrier(X2)))) | ordered_pair(X6,X7) != X4) | X4 != X5)) & (? [X9] : (in(X9,cartesian_product2(X1,X0)) & ? [X10,X11] : (in(X10,X1) & ! [X12] : (subset_complement(the_carrier(X2),X12) = X11 | X10 != X12 | ~element(X12,powerset(the_carrier(X2)))) & ordered_pair(X10,X11) = X4) & X4 = X9) | ~in(X4,X3))) => ! [X4] : ((in(X4,sK10(X0,X1,X2)) | ! [X5] : (~in(X5,cartesian_product2(X1,X0)) | ! [X6,X7] : (~in(X6,X1) | ? [X8] : (subset_complement(the_carrier(X2),X8) != X7 & X6 = X8 & element(X8,powerset(the_carrier(X2)))) | ordered_pair(X6,X7) != X4) | X4 != X5)) & (? [X9] : (in(X9,cartesian_product2(X1,X0)) & ? [X10,X11] : (in(X10,X1) & ! [X12] : (subset_complement(the_carrier(X2),X12) = X11 | X10 != X12 | ~element(X12,powerset(the_carrier(X2)))) & ordered_pair(X10,X11) = X4) & X4 = X9) | ~in(X4,sK10(X0,X1,X2)))))), 277.76/36.71 introduced(choice_axiom,[])). 277.76/36.71 277.76/36.71 fof(f91,plain,( 277.76/36.71 ! [X0,X1,X2] : (! [X4] : ((in(X4,sK10(X0,X1,X2)) | ! [X5] : (~in(X5,cartesian_product2(X1,X0)) | ! [X6,X7] : (~in(X6,X1) | (subset_complement(the_carrier(X2),sK11(X2,X6,X7)) != X7 & sK11(X2,X6,X7) = X6 & element(sK11(X2,X6,X7),powerset(the_carrier(X2)))) | ordered_pair(X6,X7) != X4) | X4 != X5)) & ((in(sK12(X0,X1,X2,X4),cartesian_product2(X1,X0)) & (in(sK13(X1,X2,X4),X1) & ! [X12] : (subset_complement(the_carrier(X2),X12) = sK14(X1,X2,X4) | sK13(X1,X2,X4) != X12 | ~element(X12,powerset(the_carrier(X2)))) & ordered_pair(sK13(X1,X2,X4),sK14(X1,X2,X4)) = X4) & sK12(X0,X1,X2,X4) = X4) | ~in(X4,sK10(X0,X1,X2)))) | ~sP1(X0,X1,X2))), 277.76/36.71 inference(skolemisation,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13,sK14])],[f86,f90,f89,f88,f87])). 277.76/36.71 277.76/36.71 fof(f137,plain,( 277.76/36.71 ( ! [X4,X2,X0,X1] : (ordered_pair(sK13(X1,X2,X4),sK14(X1,X2,X4)) = X4 | ~in(X4,sK10(X0,X1,X2)) | ~sP1(X0,X1,X2)) )), 277.76/36.71 inference(cnf_transformation,[],[f91])). 277.76/36.71 277.76/36.71 fof(f104,plain,( 277.76/36.71 element(sK3,powerset(powerset(the_carrier(sK2))))), 277.76/36.71 inference(cnf_transformation,[],[f82])). 277.76/36.71 277.76/36.71 fof(f103,plain,( 277.76/36.71 one_sorted_str(sK2)), 277.76/36.71 inference(cnf_transformation,[],[f82])). 277.76/36.71 277.76/36.71 fof(f27,axiom,( 277.76/36.71 ! [X0,X1] : ((element(X1,powerset(powerset(the_carrier(X0)))) & one_sorted_str(X0)) => ! [X2] : (! [X3,X4,X5] : ((X3 = X4 & X3 = X5 & ? [X12,X13] : (! [X14] : (element(X14,powerset(the_carrier(X0))) => (X12 = X14 => subset_complement(the_carrier(X0),X14) = X13)) & in(X12,X1) & ordered_pair(X12,X13) = X5) & ? [X6,X7] : (! [X11] : (element(X11,powerset(the_carrier(X0))) => (X6 = X11 => subset_complement(the_carrier(X0),X11) = X7)) & in(X6,X1) & ordered_pair(X6,X7) = X4)) => X4 = X5) => ? [X3] : ! [X4] : (in(X4,X3) <=> ? [X5] : (in(X5,cartesian_product2(X1,X2)) & ? [X8,X9] : (in(X8,X1) & ! [X10] : (element(X10,powerset(the_carrier(X0))) => (X8 = X10 => subset_complement(the_carrier(X0),X10) = X9)) & ordered_pair(X8,X9) = X4) & X4 = X5))))), 277.76/36.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_tarski__e4_7_2__tops_2__2)). 277.76/36.71 277.76/36.71 fof(f34,plain,( 277.76/36.71 ! [X0,X1] : ((element(X1,powerset(powerset(the_carrier(X0)))) & one_sorted_str(X0)) => ! [X2] : (! [X3,X4,X5] : ((X3 = X4 & X3 = X5 & ? [X6,X7] : (! [X8] : (element(X8,powerset(the_carrier(X0))) => (X6 = X8 => subset_complement(the_carrier(X0),X8) = X7)) & in(X6,X1) & ordered_pair(X6,X7) = X5) & ? [X9,X10] : (! [X11] : (element(X11,powerset(the_carrier(X0))) => (X9 = X11 => subset_complement(the_carrier(X0),X11) = X10)) & in(X9,X1) & ordered_pair(X9,X10) = X4)) => X4 = X5) => ? [X12] : ! [X13] : (in(X13,X12) <=> ? [X14] : (in(X14,cartesian_product2(X1,X2)) & ? [X15,X16] : (in(X15,X1) & ! [X17] : (element(X17,powerset(the_carrier(X0))) => (X15 = X17 => subset_complement(the_carrier(X0),X17) = X16)) & ordered_pair(X15,X16) = X13) & X13 = X14))))), 277.76/36.71 inference(rectify,[],[f27])). 277.76/36.71 277.76/36.71 fof(f66,plain,( 277.76/36.71 ! [X0,X1] : (! [X2] : (? [X12] : ! [X13] : (in(X13,X12) <=> ? [X14] : (in(X14,cartesian_product2(X1,X2)) & ? [X15,X16] : (in(X15,X1) & ! [X17] : ((subset_complement(the_carrier(X0),X17) = X16 | X15 != X17) | ~element(X17,powerset(the_carrier(X0)))) & ordered_pair(X15,X16) = X13) & X13 = X14)) | ? [X3,X4,X5] : (X4 != X5 & (X3 = X4 & X3 = X5 & ? [X6,X7] : (! [X8] : ((subset_complement(the_carrier(X0),X8) = X7 | X6 != X8) | ~element(X8,powerset(the_carrier(X0)))) & in(X6,X1) & ordered_pair(X6,X7) = X5) & ? [X9,X10] : (! [X11] : ((subset_complement(the_carrier(X0),X11) = X10 | X9 != X11) | ~element(X11,powerset(the_carrier(X0)))) & in(X9,X1) & ordered_pair(X9,X10) = X4)))) | (~element(X1,powerset(powerset(the_carrier(X0)))) | ~one_sorted_str(X0)))), 277.76/36.71 inference(ennf_transformation,[],[f34])). 277.76/36.71 277.76/36.71 fof(f67,plain,( 277.76/36.71 ! [X0,X1] : (! [X2] : (? [X12] : ! [X13] : (in(X13,X12) <=> ? [X14] : (in(X14,cartesian_product2(X1,X2)) & ? [X15,X16] : (in(X15,X1) & ! [X17] : (subset_complement(the_carrier(X0),X17) = X16 | X15 != X17 | ~element(X17,powerset(the_carrier(X0)))) & ordered_pair(X15,X16) = X13) & X13 = X14)) | ? [X3,X4,X5] : (X4 != X5 & X3 = X4 & X3 = X5 & ? [X6,X7] : (! [X8] : (subset_complement(the_carrier(X0),X8) = X7 | X6 != X8 | ~element(X8,powerset(the_carrier(X0)))) & in(X6,X1) & ordered_pair(X6,X7) = X5) & ? [X9,X10] : (! [X11] : (subset_complement(the_carrier(X0),X11) = X10 | X9 != X11 | ~element(X11,powerset(the_carrier(X0)))) & in(X9,X1) & ordered_pair(X9,X10) = X4))) | ~element(X1,powerset(powerset(the_carrier(X0)))) | ~one_sorted_str(X0))), 277.76/36.71 inference(flattening,[],[f66])). 277.76/36.71 277.76/36.71 fof(f71,plain,( 277.76/36.71 ! [X0,X1,X4] : (? [X9,X10] : (! [X11] : (subset_complement(the_carrier(X0),X11) = X10 | X9 != X11 | ~element(X11,powerset(the_carrier(X0)))) & in(X9,X1) & ordered_pair(X9,X10) = X4) | ~sP0(X0,X1,X4))), 277.76/36.71 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])). 277.76/36.71 277.76/36.71 fof(f73,plain,( 277.76/36.71 ! [X0,X1] : (! [X2] : (sP1(X2,X1,X0) | ? [X3,X4,X5] : (X4 != X5 & X3 = X4 & X3 = X5 & ? [X6,X7] : (! [X8] : (subset_complement(the_carrier(X0),X8) = X7 | X6 != X8 | ~element(X8,powerset(the_carrier(X0)))) & in(X6,X1) & ordered_pair(X6,X7) = X5) & sP0(X0,X1,X4))) | ~element(X1,powerset(powerset(the_carrier(X0)))) | ~one_sorted_str(X0))), 277.76/36.71 inference(definition_folding,[],[f67,f72,f71])). 277.76/36.71 277.76/36.71 fof(f97,plain,( 277.76/36.71 ! [X0,X1] : (? [X7,X6] : (! [X8] : (subset_complement(the_carrier(X0),X8) = X7 | X6 != X8 | ~element(X8,powerset(the_carrier(X0)))) & in(X6,X1) & ordered_pair(X6,X7) = sK19(X0,X1)) => (! [X8] : (subset_complement(the_carrier(X0),X8) = sK21(X0,X1) | sK20(X0,X1) != X8 | ~element(X8,powerset(the_carrier(X0)))) & in(sK20(X0,X1),X1) & sK19(X0,X1) = ordered_pair(sK20(X0,X1),sK21(X0,X1))))), 277.76/36.71 introduced(choice_axiom,[])). 277.76/36.71 277.76/36.71 fof(f96,plain,( 277.76/36.71 ! [X0,X1] : (? [X3,X4,X5] : (X4 != X5 & X3 = X4 & X3 = X5 & ? [X6,X7] : (! [X8] : (subset_complement(the_carrier(X0),X8) = X7 | X6 != X8 | ~element(X8,powerset(the_carrier(X0)))) & in(X6,X1) & ordered_pair(X6,X7) = X5) & sP0(X0,X1,X4)) => (sK18(X0,X1) != sK19(X0,X1) & sK17(X0,X1) = sK18(X0,X1) & sK17(X0,X1) = sK19(X0,X1) & ? [X7,X6] : (! [X8] : (subset_complement(the_carrier(X0),X8) = X7 | X6 != X8 | ~element(X8,powerset(the_carrier(X0)))) & in(X6,X1) & ordered_pair(X6,X7) = sK19(X0,X1)) & sP0(X0,X1,sK18(X0,X1))))), 277.76/36.71 introduced(choice_axiom,[])). 277.76/36.71 277.76/36.71 fof(f98,plain,( 277.76/36.71 ! [X0,X1] : (! [X2] : (sP1(X2,X1,X0) | (sK18(X0,X1) != sK19(X0,X1) & sK17(X0,X1) = sK18(X0,X1) & sK17(X0,X1) = sK19(X0,X1) & (! [X8] : (subset_complement(the_carrier(X0),X8) = sK21(X0,X1) | sK20(X0,X1) != X8 | ~element(X8,powerset(the_carrier(X0)))) & in(sK20(X0,X1),X1) & sK19(X0,X1) = ordered_pair(sK20(X0,X1),sK21(X0,X1))) & sP0(X0,X1,sK18(X0,X1)))) | ~element(X1,powerset(powerset(the_carrier(X0)))) | ~one_sorted_str(X0))), 277.76/36.71 inference(skolemisation,[status(esa),new_symbols(skolem,[sK17,sK18,sK19,sK20,sK21])],[f73,f97,f96])). 277.76/36.71 277.76/36.71 fof(f149,plain,( 277.76/36.71 ( ! [X2,X0,X1] : (sP1(X2,X1,X0) | in(sK20(X0,X1),X1) | ~element(X1,powerset(powerset(the_carrier(X0)))) | ~one_sorted_str(X0)) )), 277.76/36.71 inference(cnf_transformation,[],[f98])). 277.76/36.71 277.76/36.71 fof(f20,axiom,( 277.76/36.71 ! [X0,X1] : (in(X0,X1) => ~in(X1,X0))), 277.76/36.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p',antisymmetry_r2_hidden)). 277.76/36.71 277.76/36.71 fof(f61,plain,( 277.76/36.71 ! [X0,X1] : (~in(X1,X0) | ~in(X0,X1))), 277.76/36.71 inference(ennf_transformation,[],[f20])). 277.76/36.71 277.76/36.71 fof(f126,plain,( 277.76/36.71 ( ! [X0,X1] : (~in(X1,X0) | ~in(X0,X1)) )), 277.76/36.71 inference(cnf_transformation,[],[f61])). 277.76/36.71 277.76/36.71 fof(f152,plain,( 277.76/36.71 ( ! [X2,X0,X1] : (sP1(X2,X1,X0) | sK17(X0,X1) = sK18(X0,X1) | ~element(X1,powerset(powerset(the_carrier(X0)))) | ~one_sorted_str(X0)) )), 277.76/36.71 inference(cnf_transformation,[],[f98])). 277.76/36.71 277.76/36.71 fof(f151,plain,( 277.76/36.71 ( ! [X2,X0,X1] : (sP1(X2,X1,X0) | sK17(X0,X1) = sK19(X0,X1) | ~element(X1,powerset(powerset(the_carrier(X0)))) | ~one_sorted_str(X0)) )), 277.76/36.71 inference(cnf_transformation,[],[f98])). 277.76/36.71 277.76/36.71 fof(f153,plain,( 277.76/36.71 ( ! [X2,X0,X1] : (sP1(X2,X1,X0) | sK18(X0,X1) != sK19(X0,X1) | ~element(X1,powerset(powerset(the_carrier(X0)))) | ~one_sorted_str(X0)) )), 277.76/36.71 inference(cnf_transformation,[],[f98])). 277.76/36.71 277.76/36.71 fof(f106,plain,( 277.76/36.71 ( ! [X3] : (sK5(X3) = ordered_pair(sK7(X3),sK8(X3)) | in(sK5(X3),X3)) )), 277.76/36.71 inference(cnf_transformation,[],[f82])). 277.76/36.71 277.76/36.71 fof(f136,plain,( 277.76/36.71 ( ! [X4,X2,X0,X1] : (sK12(X0,X1,X2,X4) = X4 | ~in(X4,sK10(X0,X1,X2)) | ~sP1(X0,X1,X2)) )), 277.76/36.71 inference(cnf_transformation,[],[f91])). 277.76/36.71 277.76/36.71 fof(f142,plain,( 277.76/36.71 ( ! [X6,X4,X2,X0,X7,X5,X1] : (in(X4,sK10(X0,X1,X2)) | ~in(X5,cartesian_product2(X1,X0)) | ~in(X6,X1) | sK11(X2,X6,X7) = X6 | ordered_pair(X6,X7) != X4 | X4 != X5 | ~sP1(X0,X1,X2)) )), 277.76/36.71 inference(cnf_transformation,[],[f91])). 277.76/36.71 277.76/36.71 fof(f172,plain,( 277.76/36.71 ( ! [X6,X2,X0,X7,X5,X1] : (in(ordered_pair(X6,X7),sK10(X0,X1,X2)) | ~in(X5,cartesian_product2(X1,X0)) | ~in(X6,X1) | sK11(X2,X6,X7) = X6 | ordered_pair(X6,X7) != X5 | ~sP1(X0,X1,X2)) )), 277.76/36.71 inference(equality_resolution,[],[f142])). 277.76/36.71 277.76/36.71 fof(f173,plain,( 277.76/36.71 ( ! [X6,X2,X0,X7,X1] : (in(ordered_pair(X6,X7),sK10(X0,X1,X2)) | ~in(ordered_pair(X6,X7),cartesian_product2(X1,X0)) | ~in(X6,X1) | sK11(X2,X6,X7) = X6 | ~sP1(X0,X1,X2)) )), 277.76/36.71 inference(equality_resolution,[],[f172])). 277.76/36.71 277.76/36.71 fof(f105,plain,( 277.76/36.71 ( ! [X3] : (in(sK5(X3),cartesian_product2(sK3,sK4)) | in(sK5(X3),X3)) )), 277.76/36.71 inference(cnf_transformation,[],[f82])). 277.76/36.71 277.76/36.71 fof(f110,plain,( 277.76/36.71 ( ! [X6,X5,X3] : (~in(X5,sK3) | sK6(X5,X6) = X5 | ordered_pair(X5,X6) != sK5(X3) | ~in(sK5(X3),cartesian_product2(sK3,sK4)) | ~in(sK5(X3),X3)) )), 277.76/36.71 inference(cnf_transformation,[],[f82])). 277.76/36.71 277.76/36.71 fof(f141,plain,( 277.76/36.71 ( ! [X6,X4,X2,X0,X7,X5,X1] : (in(X4,sK10(X0,X1,X2)) | ~in(X5,cartesian_product2(X1,X0)) | ~in(X6,X1) | element(sK11(X2,X6,X7),powerset(the_carrier(X2))) | ordered_pair(X6,X7) != X4 | X4 != X5 | ~sP1(X0,X1,X2)) )), 277.76/36.71 inference(cnf_transformation,[],[f91])). 277.76/36.71 277.76/36.71 fof(f174,plain,( 277.76/36.71 ( ! [X6,X2,X0,X7,X5,X1] : (in(ordered_pair(X6,X7),sK10(X0,X1,X2)) | ~in(X5,cartesian_product2(X1,X0)) | ~in(X6,X1) | element(sK11(X2,X6,X7),powerset(the_carrier(X2))) | ordered_pair(X6,X7) != X5 | ~sP1(X0,X1,X2)) )), 277.76/36.71 inference(equality_resolution,[],[f141])). 277.76/36.71 277.76/36.71 fof(f175,plain,( 277.76/36.71 ( ! [X6,X2,X0,X7,X1] : (in(ordered_pair(X6,X7),sK10(X0,X1,X2)) | ~in(ordered_pair(X6,X7),cartesian_product2(X1,X0)) | ~in(X6,X1) | element(sK11(X2,X6,X7),powerset(the_carrier(X2))) | ~sP1(X0,X1,X2)) )), 277.76/36.71 inference(equality_resolution,[],[f174])). 277.76/36.71 277.76/36.71 fof(f107,plain,( 277.76/36.71 ( ! [X10,X3] : (subset_complement(the_carrier(sK2),X10) = sK8(X3) | sK7(X3) != X10 | ~element(X10,powerset(the_carrier(sK2))) | in(sK5(X3),X3)) )), 277.76/36.71 inference(cnf_transformation,[],[f82])). 277.76/36.71 277.76/36.71 fof(f169,plain,( 277.76/36.71 ( ! [X3] : (sK8(X3) = subset_complement(the_carrier(sK2),sK7(X3)) | ~element(sK7(X3),powerset(the_carrier(sK2))) | in(sK5(X3),X3)) )), 277.76/36.71 inference(equality_resolution,[],[f107])). 277.76/36.71 277.76/36.71 fof(f109,plain,( 277.76/36.71 ( ! [X6,X5,X3] : (~in(X5,sK3) | element(sK6(X5,X6),powerset(the_carrier(sK2))) | ordered_pair(X5,X6) != sK5(X3) | ~in(sK5(X3),cartesian_product2(sK3,sK4)) | ~in(sK5(X3),X3)) )), 277.76/36.71 inference(cnf_transformation,[],[f82])). 277.76/36.71 277.76/36.71 fof(f140,plain,( 277.76/36.71 ( ! [X4,X2,X0,X1] : (in(sK12(X0,X1,X2,X4),cartesian_product2(X1,X0)) | ~in(X4,sK10(X0,X1,X2)) | ~sP1(X0,X1,X2)) )), 277.76/36.71 inference(cnf_transformation,[],[f91])). 277.76/36.71 277.76/36.71 fof(f139,plain,( 277.76/36.71 ( ! [X4,X2,X0,X1] : (in(sK13(X1,X2,X4),X1) | ~in(X4,sK10(X0,X1,X2)) | ~sP1(X0,X1,X2)) )), 277.76/36.71 inference(cnf_transformation,[],[f91])). 277.76/36.71 277.76/36.71 fof(f138,plain,( 277.76/36.71 ( ! [X4,X2,X0,X12,X1] : (subset_complement(the_carrier(X2),X12) = sK14(X1,X2,X4) | sK13(X1,X2,X4) != X12 | ~element(X12,powerset(the_carrier(X2))) | ~in(X4,sK10(X0,X1,X2)) | ~sP1(X0,X1,X2)) )), 277.76/36.71 inference(cnf_transformation,[],[f91])). 277.76/36.71 277.76/36.71 fof(f176,plain,( 277.76/36.71 ( ! [X4,X2,X0,X1] : (sK14(X1,X2,X4) = subset_complement(the_carrier(X2),sK13(X1,X2,X4)) | ~element(sK13(X1,X2,X4),powerset(the_carrier(X2))) | ~in(X4,sK10(X0,X1,X2)) | ~sP1(X0,X1,X2)) )), 277.76/36.71 inference(equality_resolution,[],[f138])). 277.76/36.71 277.76/36.71 fof(f111,plain,( 277.76/36.71 ( ! [X6,X5,X3] : (~in(X5,sK3) | subset_complement(the_carrier(sK2),sK6(X5,X6)) != X6 | ordered_pair(X5,X6) != sK5(X3) | ~in(sK5(X3),cartesian_product2(sK3,sK4)) | ~in(sK5(X3),X3)) )), 277.76/36.71 inference(cnf_transformation,[],[f82])). 277.76/36.71 277.76/36.71 fof(f14,axiom,( 277.76/36.71 ! [X0,X1] : (element(X1,powerset(X0)) => element(subset_complement(X0,X1),powerset(X0)))), 277.76/36.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1)). 277.76/36.71 277.76/36.71 fof(f56,plain,( 277.76/36.71 ! [X0,X1] : (element(subset_complement(X0,X1),powerset(X0)) | ~element(X1,powerset(X0)))), 277.76/36.71 inference(ennf_transformation,[],[f14])). 277.76/36.71 277.76/36.71 fof(f115,plain,( 277.76/36.71 ( ! [X0,X1] : (element(subset_complement(X0,X1),powerset(X0)) | ~element(X1,powerset(X0))) )), 277.76/36.71 inference(cnf_transformation,[],[f56])). 277.76/36.71 277.76/36.71 fof(f143,plain,( 277.76/36.71 ( ! [X6,X4,X2,X0,X7,X5,X1] : (in(X4,sK10(X0,X1,X2)) | ~in(X5,cartesian_product2(X1,X0)) | ~in(X6,X1) | subset_complement(the_carrier(X2),sK11(X2,X6,X7)) != X7 | ordered_pair(X6,X7) != X4 | X4 != X5 | ~sP1(X0,X1,X2)) )), 277.76/36.71 inference(cnf_transformation,[],[f91])). 277.76/36.71 277.76/36.71 fof(f170,plain,( 277.76/36.71 ( ! [X6,X2,X0,X7,X5,X1] : (in(ordered_pair(X6,X7),sK10(X0,X1,X2)) | ~in(X5,cartesian_product2(X1,X0)) | ~in(X6,X1) | subset_complement(the_carrier(X2),sK11(X2,X6,X7)) != X7 | ordered_pair(X6,X7) != X5 | ~sP1(X0,X1,X2)) )), 277.76/36.71 inference(equality_resolution,[],[f143])). 277.76/36.71 277.76/36.71 fof(f171,plain,( 277.76/36.71 ( ! [X6,X2,X0,X7,X1] : (in(ordered_pair(X6,X7),sK10(X0,X1,X2)) | ~in(ordered_pair(X6,X7),cartesian_product2(X1,X0)) | ~in(X6,X1) | subset_complement(the_carrier(X2),sK11(X2,X6,X7)) != X7 | ~sP1(X0,X1,X2)) )), 277.76/36.71 inference(equality_resolution,[],[f170])). 277.76/36.71 277.76/36.71 fof(f12,axiom,( 277.76/36.71 ! [X0,X1] : (element(X1,powerset(X0)) => subset_complement(X0,subset_complement(X0,X1)) = X1)), 277.76/36.71 file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k3_subset_1)). 277.76/36.71 277.76/36.71 fof(f55,plain,( 277.76/36.71 ! [X0,X1] : (subset_complement(X0,subset_complement(X0,X1)) = X1 | ~element(X1,powerset(X0)))), 277.76/36.71 inference(ennf_transformation,[],[f12])). 277.76/36.71 277.76/36.71 fof(f114,plain,( 277.76/36.71 ( ! [X0,X1] : (subset_complement(X0,subset_complement(X0,X1)) = X1 | ~element(X1,powerset(X0))) )), 277.76/36.71 inference(cnf_transformation,[],[f55])). 277.76/36.71 277.76/36.71 cnf(c_52,negated_conjecture, 277.76/36.71 ( in(sK5(X0),X0) | in(sK7(X0),sK3) ), 277.76/36.71 inference(cnf_transformation,[],[f108]) ). 277.76/36.71 277.76/36.71 cnf(c_88,plain, 277.76/36.71 ( ~ in(X0,sK10(X1,X2,X3)) 277.76/36.71 | ~ sP1(X1,X2,X3) 277.76/36.71 | ordered_pair(sK13(X2,X3,X0),sK14(X2,X3,X0)) = X0 ), 277.76/36.71 inference(cnf_transformation,[],[f137]) ). 277.76/36.71 277.76/36.71 cnf(c_560395,plain, 277.76/36.71 ( ~ sP1(X0,X1,X2) 277.76/36.71 | ordered_pair(sK13(X1,X2,sK5(sK10(X0,X1,X2))),sK14(X1,X2,sK5(sK10(X0,X1,X2)))) = sK5(sK10(X0,X1,X2)) 277.76/36.71 | in(sK7(sK10(X0,X1,X2)),sK3) ), 277.76/36.71 inference(superposition,[status(thm)],[c_52,c_88]) ). 277.76/36.71 277.76/36.71 cnf(c_56,negated_conjecture, 277.76/36.71 ( element(sK3,powerset(powerset(the_carrier(sK2)))) ), 277.76/36.71 inference(cnf_transformation,[],[f104]) ). 277.76/36.71 277.76/36.71 cnf(c_57,negated_conjecture, 277.76/36.71 ( one_sorted_str(sK2) ), 277.76/36.71 inference(cnf_transformation,[],[f103]) ). 277.76/36.71 277.76/36.71 cnf(c_97,plain, 277.76/36.71 ( ~ element(X0,powerset(powerset(the_carrier(X1)))) 277.76/36.71 | ~ one_sorted_str(X1) 277.76/36.71 | in(sK20(X1,X0),X0) 277.76/36.71 | sP1(X2,X0,X1) ), 277.76/36.71 inference(cnf_transformation,[],[f149]) ). 277.76/36.71 277.76/36.71 cnf(c_984,plain, 277.76/36.71 ( X0 != sK2 277.76/36.71 | ~ element(X1,powerset(powerset(the_carrier(X0)))) 277.76/36.71 | in(sK20(X0,X1),X1) 277.76/36.71 | sP1(X2,X1,X0) ), 277.76/36.71 inference(resolution_lifted,[status(thm)],[c_57,c_97]) ). 277.76/36.71 277.76/36.71 cnf(c_985,plain, 277.76/36.71 ( ~ element(X0,powerset(powerset(the_carrier(sK2)))) 277.76/36.71 | in(sK20(sK2,X0),X0) 277.76/36.71 | sP1(X1,X0,sK2) ), 277.76/36.71 inference(unflattening,[status(thm)],[c_984]) ). 277.76/36.71 277.76/36.71 cnf(c_6503,plain, 277.76/36.71 ( in(sK20(sK2,sK3),sK3) | sP1(X0,sK3,sK2) ), 277.76/36.71 inference(superposition,[status(thm)],[c_56,c_985]) ). 277.76/36.71 277.76/36.71 cnf(c_72,plain, 277.76/36.71 ( ~ in(X0,X1) | ~ in(X1,X0) ), 277.76/36.71 inference(cnf_transformation,[],[f126]) ). 277.76/36.71 277.76/36.71 cnf(c_6545,plain, 277.76/36.71 ( ~ in(sK3,sK20(sK2,sK3)) | sP1(X0,sK3,sK2) ), 277.76/36.71 inference(superposition,[status(thm)],[c_6503,c_72]) ). 277.76/36.71 277.76/36.71 cnf(c_4777,plain,( X0 != X1 | X2 != X1 | X2 = X0 ),theory(equality) ). 277.76/36.71 277.76/36.71 cnf(c_94,plain, 277.76/36.71 ( ~ element(X0,powerset(powerset(the_carrier(X1)))) 277.76/36.71 | ~ one_sorted_str(X1) 277.76/36.71 | sK18(X1,X0) = sK17(X1,X0) 277.76/36.71 | sP1(X2,X0,X1) ), 277.76/36.71 inference(cnf_transformation,[],[f152]) ). 277.76/36.71 277.76/36.71 cnf(c_1008,plain, 277.76/36.71 ( X0 != sK2 277.76/36.71 | ~ element(X1,powerset(powerset(the_carrier(X0)))) 277.76/36.71 | sK18(X0,X1) = sK17(X0,X1) 277.76/36.71 | sP1(X2,X1,X0) ), 277.76/36.71 inference(resolution_lifted,[status(thm)],[c_57,c_94]) ). 277.76/36.71 277.76/36.71 cnf(c_1009,plain, 277.76/36.71 ( ~ element(X0,powerset(powerset(the_carrier(sK2)))) 277.76/36.71 | sK18(sK2,X0) = sK17(sK2,X0) 277.76/36.71 | sP1(X1,X0,sK2) ), 277.76/36.71 inference(unflattening,[status(thm)],[c_1008]) ). 277.76/36.71 277.76/36.71 cnf(c_7066,plain, 277.76/36.71 ( X0 != sK17(sK2,X1) 277.76/36.71 | ~ element(X1,powerset(powerset(the_carrier(sK2)))) 277.76/36.71 | sK18(sK2,X1) = X0 277.76/36.71 | sP1(X2,X1,sK2) ), 277.76/36.71 inference(resolution,[status(thm)],[c_4777,c_1009]) ). 277.76/36.71 277.76/36.71 cnf(c_95,plain, 277.76/36.71 ( ~ element(X0,powerset(powerset(the_carrier(X1)))) 277.76/36.71 | ~ one_sorted_str(X1) 277.76/36.71 | sK19(X1,X0) = sK17(X1,X0) 277.76/36.71 | sP1(X2,X0,X1) ), 277.76/36.71 inference(cnf_transformation,[],[f151]) ). 277.76/36.71 277.76/36.71 cnf(c_996,plain, 277.76/36.71 ( X0 != sK2 277.76/36.71 | ~ element(X1,powerset(powerset(the_carrier(X0)))) 277.76/36.71 | sK19(X0,X1) = sK17(X0,X1) 277.76/36.71 | sP1(X2,X1,X0) ), 277.76/36.71 inference(resolution_lifted,[status(thm)],[c_57,c_95]) ). 277.76/36.71 277.76/36.71 cnf(c_997,plain, 277.76/36.71 ( ~ element(X0,powerset(powerset(the_carrier(sK2)))) 277.76/36.71 | sK19(sK2,X0) = sK17(sK2,X0) 277.76/36.71 | sP1(X1,X0,sK2) ), 277.76/36.71 inference(unflattening,[status(thm)],[c_996]) ). 277.76/36.71 277.76/36.71 cnf(c_7596,plain, 277.76/36.71 ( ~ element(X0,powerset(powerset(the_carrier(sK2)))) 277.76/36.71 | sK18(sK2,X0) = sK19(sK2,X0) 277.76/36.71 | sP1(X1,X0,sK2) 277.76/36.71 | sP1(X2,X0,sK2) ), 277.76/36.71 inference(resolution,[status(thm)],[c_7066,c_997]) ). 277.76/36.71 277.76/36.71 cnf(c_93,plain, 277.76/36.71 ( sK18(X0,X1) != sK19(X0,X1) 277.76/36.71 | ~ element(X1,powerset(powerset(the_carrier(X0)))) 277.76/36.71 | ~ one_sorted_str(X0) 277.76/36.71 | sP1(X2,X1,X0) ), 277.76/36.71 inference(cnf_transformation,[],[f153]) ). 277.76/36.71 277.76/36.71 cnf(c_948,plain, 277.76/36.71 ( sK18(X0,X1) != sK19(X0,X1) 277.76/36.71 | X0 != sK2 277.76/36.71 | ~ element(X1,powerset(powerset(the_carrier(X0)))) 277.76/36.71 | sP1(X2,X1,X0) ), 277.76/36.71 inference(resolution_lifted,[status(thm)],[c_57,c_93]) ). 277.76/36.71 277.76/36.71 cnf(c_949,plain, 277.76/36.71 ( sK18(sK2,X0) != sK19(sK2,X0) 277.76/36.71 | ~ element(X0,powerset(powerset(the_carrier(sK2)))) 277.76/36.71 | sP1(X1,X0,sK2) ), 277.76/36.71 inference(unflattening,[status(thm)],[c_948]) ). 277.76/36.71 277.76/36.71 cnf(c_7719,plain, 277.76/36.71 ( ~ element(X0,powerset(powerset(the_carrier(sK2)))) 277.76/36.71 | sP1(X1,X0,sK2) 277.76/36.71 | sP1(X2,X0,sK2) ), 277.76/36.71 inference(global_propositional_subsumption,[status(thm)],[c_7596,c_949]) ). 277.76/36.71 277.76/36.71 cnf(c_9425,plain, 277.76/36.71 ( sP1(X0,sK3,sK2) | sP1(X1,sK3,sK2) ), 277.76/36.71 inference(resolution,[status(thm)],[c_7719,c_56]) ). 277.76/36.71 277.76/36.71 cnf(c_9444,plain, 277.76/36.71 ( sP1(X0,sK3,sK2) ), 277.76/36.71 inference(factoring,[status(thm)],[c_9425]) ). 277.76/36.71 277.76/36.71 cnf(c_11229,plain, 277.76/36.71 ( sP1(X0,sK3,sK2) ), 277.76/36.71 inference(global_propositional_subsumption,[status(thm)],[c_6545,c_9444]) ). 277.76/36.71 277.76/36.71 cnf(c_54,negated_conjecture, 277.76/36.71 ( ordered_pair(sK7(X0),sK8(X0)) = sK5(X0) | in(sK5(X0),X0) ), 277.76/36.71 inference(cnf_transformation,[],[f106]) ). 277.76/36.71 277.76/36.71 cnf(c_89,plain, 277.76/36.71 ( ~ in(X0,sK10(X1,X2,X3)) | ~ sP1(X1,X2,X3) | sK12(X1,X2,X3,X0) = X0 ), 277.76/36.71 inference(cnf_transformation,[],[f136]) ). 277.76/36.71 277.76/36.71 cnf(c_32615,plain, 277.76/36.71 ( ~ sP1(X0,X1,X2) 277.76/36.71 | ordered_pair(sK7(sK10(X0,X1,X2)),sK8(sK10(X0,X1,X2))) = sK5(sK10(X0,X1,X2)) 277.76/36.71 | sK12(X0,X1,X2,sK5(sK10(X0,X1,X2))) = sK5(sK10(X0,X1,X2)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_54,c_89]) ). 277.76/36.71 277.76/36.71 cnf(c_32666,plain, 277.76/36.71 ( ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_11229,c_32615]) ). 277.76/36.71 277.76/36.71 cnf(c_83,plain, 277.76/36.71 ( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) 277.76/36.71 | ~ sP1(X3,X2,X4) 277.76/36.71 | ~ in(X0,X2) 277.76/36.71 | sK11(X4,X0,X1) = X0 277.76/36.71 | in(ordered_pair(X0,X1),sK10(X3,X2,X4)) ), 277.76/36.71 inference(cnf_transformation,[],[f173]) ). 277.76/36.71 277.76/36.71 cnf(c_32807,plain, 277.76/36.71 ( ~ in(ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))),cartesian_product2(X1,X2)) 277.76/36.71 | ~ in(sK7(sK10(X0,sK3,sK2)),X1) 277.76/36.71 | ~ sP1(X2,X1,X3) 277.76/36.71 | sK11(X3,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.71 | in(sK5(sK10(X0,sK3,sK2)),sK10(X2,X1,X3)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_32666,c_83]) ). 277.76/36.71 277.76/36.71 cnf(c_36501,plain, 277.76/36.71 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(X1,X2)) 277.76/36.71 | ~ in(sK7(sK10(X0,sK3,sK2)),X1) 277.76/36.71 | ~ sP1(X2,X1,X3) 277.76/36.71 | sK11(X3,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.71 | in(sK5(sK10(X0,sK3,sK2)),sK10(X2,X1,X3)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_32666,c_32807]) ). 277.76/36.71 277.76/36.71 cnf(c_55,negated_conjecture, 277.76/36.71 ( in(sK5(X0),cartesian_product2(sK3,sK4)) | in(sK5(X0),X0) ), 277.76/36.71 inference(cnf_transformation,[],[f105]) ). 277.76/36.71 277.76/36.71 cnf(c_32616,plain, 277.76/36.71 ( ~ sP1(X0,X1,X2) 277.76/36.71 | sK12(X0,X1,X2,sK5(sK10(X0,X1,X2))) = sK5(sK10(X0,X1,X2)) 277.76/36.71 | in(sK5(sK10(X0,X1,X2)),cartesian_product2(sK3,sK4)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_55,c_89]) ). 277.76/36.71 277.76/36.71 cnf(c_50,negated_conjecture, 277.76/36.71 ( ordered_pair(X0,X1) != sK5(X2) 277.76/36.71 | ~ in(sK5(X2),cartesian_product2(sK3,sK4)) 277.76/36.71 | ~ in(sK5(X2),X2) 277.76/36.71 | ~ in(X0,sK3) 277.76/36.71 | sK6(X0,X1) = X0 ), 277.76/36.71 inference(cnf_transformation,[],[f110]) ). 277.76/36.71 277.76/36.71 cnf(c_32809,plain, 277.76/36.71 ( sK5(sK10(X0,sK3,sK2)) != sK5(X1) 277.76/36.71 | ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.71 | ~ in(sK5(X1),cartesian_product2(sK3,sK4)) 277.76/36.71 | ~ in(sK5(X1),X1) 277.76/36.71 | sK6(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_32666,c_50]) ). 277.76/36.71 277.76/36.71 cnf(c_32823,plain, 277.76/36.71 ( ~ in(sK5(sK10(X0,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.71 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.71 | ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.71 | sK6(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.71 inference(equality_resolution,[status(thm)],[c_32809]) ). 277.76/36.71 277.76/36.71 cnf(c_36512,plain, 277.76/36.71 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,X0)) 277.76/36.71 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.71 | ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.71 | ~ sP1(X0,sK3,sK2) 277.76/36.71 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK6(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_36501,c_32823]) ). 277.76/36.71 277.76/36.71 cnf(c_36513,plain, 277.76/36.71 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,X0)) 277.76/36.71 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.71 | ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.71 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK6(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.71 inference(forward_subsumption_resolution,[status(thm)],[c_36512,c_11229]) ). 277.76/36.71 277.76/36.71 cnf(c_19367,plain, 277.76/36.71 ( ~ sP1(X0,X1,X2) 277.76/36.71 | sK12(X0,X1,X2,sK5(sK10(X0,X1,X2))) = sK5(sK10(X0,X1,X2)) 277.76/36.71 | in(sK5(sK10(X0,X1,X2)),cartesian_product2(sK3,sK4)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_55,c_89]) ). 277.76/36.71 277.76/36.71 cnf(c_19366,plain, 277.76/36.71 ( ~ sP1(X0,X1,X2) 277.76/36.71 | ordered_pair(sK7(sK10(X0,X1,X2)),sK8(sK10(X0,X1,X2))) = sK5(sK10(X0,X1,X2)) 277.76/36.71 | sK12(X0,X1,X2,sK5(sK10(X0,X1,X2))) = sK5(sK10(X0,X1,X2)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_54,c_89]) ). 277.76/36.71 277.76/36.71 cnf(c_19419,plain, 277.76/36.71 ( ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_11229,c_19366]) ). 277.76/36.71 277.76/36.71 cnf(c_19565,plain, 277.76/36.71 ( ~ in(ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))),cartesian_product2(X1,X2)) 277.76/36.71 | ~ in(sK7(sK10(X0,sK3,sK2)),X1) 277.76/36.71 | ~ sP1(X2,X1,X3) 277.76/36.71 | sK11(X3,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.71 | in(sK5(sK10(X0,sK3,sK2)),sK10(X2,X1,X3)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_19419,c_83]) ). 277.76/36.71 277.76/36.71 cnf(c_30868,plain, 277.76/36.71 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(X1,X2)) 277.76/36.71 | ~ in(sK7(sK10(X0,sK3,sK2)),X1) 277.76/36.71 | ~ sP1(X2,X1,X3) 277.76/36.71 | sK11(X3,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.71 | in(sK5(sK10(X0,sK3,sK2)),sK10(X2,X1,X3)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_19419,c_19565]) ). 277.76/36.71 277.76/36.71 cnf(c_19567,plain, 277.76/36.71 ( sK5(sK10(X0,sK3,sK2)) != sK5(X1) 277.76/36.71 | ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.71 | ~ in(sK5(X1),cartesian_product2(sK3,sK4)) 277.76/36.71 | ~ in(sK5(X1),X1) 277.76/36.71 | sK6(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_19419,c_50]) ). 277.76/36.71 277.76/36.71 cnf(c_19581,plain, 277.76/36.71 ( ~ in(sK5(sK10(X0,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.71 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.71 | ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.71 | sK6(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.71 inference(equality_resolution,[status(thm)],[c_19567]) ). 277.76/36.71 277.76/36.71 cnf(c_30880,plain, 277.76/36.71 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,X0)) 277.76/36.71 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.71 | ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.71 | ~ sP1(X0,sK3,sK2) 277.76/36.71 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK6(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_30868,c_19581]) ). 277.76/36.71 277.76/36.71 cnf(c_30881,plain, 277.76/36.71 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,X0)) 277.76/36.71 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.71 | ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.71 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK6(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.71 inference(forward_subsumption_resolution,[status(thm)],[c_30880,c_11229]) ). 277.76/36.71 277.76/36.71 cnf(c_31412,plain, 277.76/36.71 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,X0)) 277.76/36.71 | ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.71 | ~ sP1(X0,sK3,sK2) 277.76/36.71 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK6(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_19367,c_30881]) ). 277.76/36.71 277.76/36.71 cnf(c_31413,plain, 277.76/36.71 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,X0)) 277.76/36.71 | ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.71 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK6(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.71 inference(forward_subsumption_resolution,[status(thm)],[c_31412,c_11229]) ). 277.76/36.71 277.76/36.71 cnf(c_36673,plain, 277.76/36.71 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,X0)) 277.76/36.71 | ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.71 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK6(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.71 inference(global_propositional_subsumption, 277.76/36.71 [status(thm)], 277.76/36.71 [c_36513,c_31413]) ). 277.76/36.71 277.76/36.71 cnf(c_36682,plain, 277.76/36.71 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.71 | ~ sP1(sK4,sK3,sK2) 277.76/36.71 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_32616,c_36673]) ). 277.76/36.71 277.76/36.71 cnf(c_36683,plain, 277.76/36.71 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.71 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.71 inference(forward_subsumption_resolution,[status(thm)],[c_36682,c_11229]) ). 277.76/36.71 277.76/36.71 cnf(c_19368,plain, 277.76/36.71 ( ~ sP1(X0,X1,X2) 277.76/36.71 | sK12(X0,X1,X2,sK5(sK10(X0,X1,X2))) = sK5(sK10(X0,X1,X2)) 277.76/36.71 | in(sK7(sK10(X0,X1,X2)),sK3) ), 277.76/36.71 inference(superposition,[status(thm)],[c_52,c_89]) ). 277.76/36.71 277.76/36.71 cnf(c_31443,plain, 277.76/36.71 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.71 | ~ sP1(sK4,sK3,sK2) 277.76/36.71 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_19367,c_31413]) ). 277.76/36.71 277.76/36.71 cnf(c_31444,plain, 277.76/36.71 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.71 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.71 inference(forward_subsumption_resolution,[status(thm)],[c_31443,c_11229]) ). 277.76/36.71 277.76/36.71 cnf(c_31452,plain, 277.76/36.71 ( ~ sP1(sK4,sK3,sK2) 277.76/36.71 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_19368,c_31444]) ). 277.76/36.71 277.76/36.71 cnf(c_31453,plain, 277.76/36.71 ( sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.71 inference(forward_subsumption_resolution,[status(thm)],[c_31452,c_11229]) ). 277.76/36.71 277.76/36.71 cnf(c_36685,plain, 277.76/36.71 ( sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.71 inference(global_propositional_subsumption, 277.76/36.71 [status(thm)], 277.76/36.71 [c_36683,c_31453]) ). 277.76/36.71 277.76/36.71 cnf(c_84,plain, 277.76/36.71 ( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) 277.76/36.71 | ~ sP1(X3,X2,X4) 277.76/36.71 | ~ in(X0,X2) 277.76/36.71 | in(ordered_pair(X0,X1),sK10(X3,X2,X4)) 277.76/36.71 | element(sK11(X4,X0,X1),powerset(the_carrier(X4))) ), 277.76/36.71 inference(cnf_transformation,[],[f175]) ). 277.76/36.71 277.76/36.71 cnf(c_32707,plain, 277.76/36.71 ( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) 277.76/36.71 | ~ sP1(X3,X2,X4) 277.76/36.71 | ~ in(X0,X2) 277.76/36.71 | sK12(X3,X2,X4,ordered_pair(X0,X1)) = ordered_pair(X0,X1) 277.76/36.71 | element(sK11(X4,X0,X1),powerset(the_carrier(X4))) ), 277.76/36.71 inference(superposition,[status(thm)],[c_84,c_89]) ). 277.76/36.71 277.76/36.71 cnf(c_34058,plain, 277.76/36.71 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(X1,X2)) 277.76/36.71 | ~ in(sK7(sK10(X0,sK3,sK2)),X1) 277.76/36.71 | ~ sP1(X2,X1,X3) 277.76/36.71 | sK12(X2,X1,X3,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))) = ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.71 | element(sK11(X3,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))),powerset(the_carrier(X3))) ), 277.76/36.71 inference(superposition,[status(thm)],[c_32666,c_32707]) ). 277.76/36.71 277.76/36.71 cnf(c_36702,plain, 277.76/36.71 ( ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.71 | ~ sP1(X0,sK3,sK2) 277.76/36.71 | ~ sP1(sK4,sK3,X1) 277.76/36.71 | sK12(sK4,sK3,X1,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))) = ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.71 | element(sK11(X1,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))),powerset(the_carrier(X1))) ), 277.76/36.71 inference(superposition,[status(thm)],[c_32616,c_34058]) ). 277.76/36.71 277.76/36.71 cnf(c_36703,plain, 277.76/36.71 ( ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.71 | ~ sP1(sK4,sK3,X1) 277.76/36.71 | sK12(sK4,sK3,X1,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))) = ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.71 | element(sK11(X1,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))),powerset(the_carrier(X1))) ), 277.76/36.71 inference(forward_subsumption_resolution,[status(thm)],[c_36702,c_11229]) ). 277.76/36.71 277.76/36.71 cnf(c_36712,plain, 277.76/36.71 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.71 | ~ sP1(sK4,sK3,sK2) 277.76/36.71 | sK12(sK4,sK3,sK2,ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) = ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) 277.76/36.71 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.71 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.71 inference(superposition,[status(thm)],[c_36685,c_36703]) ). 277.76/36.71 277.76/36.71 cnf(c_36718,plain, 277.76/36.71 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.71 | sK12(sK4,sK3,sK2,ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) = ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) 277.76/36.71 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.71 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.71 inference(forward_subsumption_resolution,[status(thm)],[c_36712,c_11229]) ). 277.76/36.71 277.76/36.71 cnf(c_53,negated_conjecture, 277.76/36.71 ( ~ element(sK7(X0),powerset(the_carrier(sK2))) 277.76/36.71 | subset_complement(the_carrier(sK2),sK7(X0)) = sK8(X0) 277.76/36.71 | in(sK5(X0),X0) ), 277.76/36.71 inference(cnf_transformation,[],[f169]) ). 277.76/36.71 277.76/36.71 cnf(c_36729,plain, 277.76/36.71 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.71 | sK12(sK4,sK3,sK2,ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) = ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) 277.76/36.71 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.71 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.71 | in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_36718,c_53]) ). 277.76/36.71 277.76/36.71 cnf(c_36762,plain, 277.76/36.71 ( sK12(sK4,sK3,sK2,ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) = ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) 277.76/36.71 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.71 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.71 | in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.71 inference(forward_subsumption_resolution,[status(thm)],[c_36729,c_52]) ). 277.76/36.71 277.76/36.71 cnf(c_36765,plain, 277.76/36.71 ( ~ sP1(sK4,sK3,sK2) 277.76/36.71 | sK12(sK4,sK3,sK2,ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) = ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) 277.76/36.71 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.71 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_36762,c_89]) ). 277.76/36.71 277.76/36.71 cnf(c_36771,plain, 277.76/36.71 ( sK12(sK4,sK3,sK2,ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) = ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) 277.76/36.71 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.71 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.71 inference(forward_subsumption_resolution,[status(thm)],[c_36765,c_11229]) ). 277.76/36.71 277.76/36.71 cnf(c_36776,plain, 277.76/36.71 ( sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.71 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.71 inference(superposition,[status(thm)],[c_32666,c_36771]) ). 277.76/36.71 277.76/36.71 cnf(c_51,negated_conjecture, 277.76/36.71 ( ordered_pair(X0,X1) != sK5(X2) 277.76/36.71 | ~ in(sK5(X2),cartesian_product2(sK3,sK4)) 277.76/36.71 | ~ in(sK5(X2),X2) 277.76/36.71 | ~ in(X0,sK3) 277.76/36.71 | element(sK6(X0,X1),powerset(the_carrier(sK2))) ), 277.76/36.71 inference(cnf_transformation,[],[f109]) ). 277.76/36.71 277.76/36.71 cnf(c_32808,plain, 277.76/36.71 ( sK5(sK10(X0,sK3,sK2)) != sK5(X1) 277.76/36.71 | ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.71 | ~ in(sK5(X1),cartesian_product2(sK3,sK4)) 277.76/36.71 | ~ in(sK5(X1),X1) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.71 | element(sK6(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.71 inference(superposition,[status(thm)],[c_32666,c_51]) ). 277.76/36.71 277.76/36.71 cnf(c_32816,plain, 277.76/36.71 ( ~ in(sK5(sK10(X0,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.71 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.71 | ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.71 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.71 | element(sK6(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.71 inference(equality_resolution,[status(thm)],[c_32808]) ). 277.76/36.71 277.76/36.71 cnf(c_36785,plain, 277.76/36.71 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.71 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.71 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.71 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.71 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.71 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.71 inference(superposition,[status(thm)],[c_36776,c_32816]) ). 277.76/36.71 277.76/36.71 cnf(c_36795,plain, 277.76/36.71 ( ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.71 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.71 | ~ sP1(sK4,sK3,sK2) 277.76/36.71 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.71 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.71 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.71 inference(superposition,[status(thm)],[c_36501,c_36785]) ). 277.76/36.71 277.76/36.71 cnf(c_36798,plain, 277.76/36.71 ( ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.71 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.71 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.71 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.71 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.71 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.71 inference(forward_subsumption_resolution,[status(thm)],[c_36795,c_11229]) ). 277.76/36.71 277.76/36.71 cnf(c_19449,plain, 277.76/36.71 ( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) 277.76/36.71 | ~ sP1(X3,X2,X4) 277.76/36.71 | ~ in(X0,X2) 277.76/36.71 | sK12(X3,X2,X4,ordered_pair(X0,X1)) = ordered_pair(X0,X1) 277.76/36.71 | sK11(X4,X0,X1) = X0 ), 277.76/36.71 inference(superposition,[status(thm)],[c_83,c_89]) ). 277.76/36.71 277.76/36.71 cnf(c_19792,plain, 277.76/36.71 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(X1,X2)) 277.76/36.71 | ~ in(sK7(sK10(X0,sK3,sK2)),X1) 277.76/36.71 | ~ sP1(X2,X1,X3) 277.76/36.71 | sK12(X2,X1,X3,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))) = ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(X3,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_19419,c_19449]) ). 277.76/36.72 277.76/36.72 cnf(c_31944,plain, 277.76/36.72 ( ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(X0,sK3,sK2) 277.76/36.72 | ~ sP1(sK4,sK3,X1) 277.76/36.72 | sK12(sK4,sK3,X1,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))) = ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(X1,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_19367,c_19792]) ). 277.76/36.72 277.76/36.72 cnf(c_31945,plain, 277.76/36.72 ( ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,X1) 277.76/36.72 | sK12(sK4,sK3,X1,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))) = ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(X1,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution,[status(thm)],[c_31944,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_31960,plain, 277.76/36.72 ( ~ sP1(X0,sK3,sK2) 277.76/36.72 | ~ sP1(sK4,sK3,X1) 277.76/36.72 | sK12(sK4,sK3,X1,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))) = ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(X1,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_19368,c_31945]) ). 277.76/36.72 277.76/36.72 cnf(c_31961,plain, 277.76/36.72 ( ~ sP1(sK4,sK3,X0) 277.76/36.72 | sK12(sK4,sK3,X0,ordered_pair(sK7(sK10(X1,sK3,sK2)),sK8(sK10(X1,sK3,sK2)))) = ordered_pair(sK7(sK10(X1,sK3,sK2)),sK8(sK10(X1,sK3,sK2))) 277.76/36.72 | sK11(X0,sK7(sK10(X1,sK3,sK2)),sK8(sK10(X1,sK3,sK2))) = sK7(sK10(X1,sK3,sK2)) 277.76/36.72 | sK12(X1,sK3,sK2,sK5(sK10(X1,sK3,sK2))) = sK5(sK10(X1,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution,[status(thm)],[c_31960,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_31975,plain, 277.76/36.72 ( sK12(sK4,sK3,sK2,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))) = ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_11229,c_31961]) ). 277.76/36.72 277.76/36.72 cnf(c_85,plain, 277.76/36.72 ( ~ in(X0,sK10(X1,X2,X3)) 277.76/36.72 | ~ sP1(X1,X2,X3) 277.76/36.72 | in(sK12(X1,X2,X3,X0),cartesian_product2(X2,X1)) ), 277.76/36.72 inference(cnf_transformation,[],[f140]) ). 277.76/36.72 277.76/36.72 cnf(c_31985,plain, 277.76/36.72 ( ~ in(ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | in(ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_31975,c_85]) ). 277.76/36.72 277.76/36.72 cnf(c_31988,plain, 277.76/36.72 ( ~ in(ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))),sK10(sK4,sK3,sK2)) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | in(ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(forward_subsumption_resolution,[status(thm)],[c_31985,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_32168,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | in(ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_19419,c_31988]) ). 277.76/36.72 277.76/36.72 cnf(c_32179,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_19419,c_32168]) ). 277.76/36.72 277.76/36.72 cnf(c_32217,plain, 277.76/36.72 ( sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_55,c_32179]) ). 277.76/36.72 277.76/36.72 cnf(c_36811,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_36798,c_32217]) ). 277.76/36.72 277.76/36.72 cnf(c_36818,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_36811,c_53]) ). 277.76/36.72 277.76/36.72 cnf(c_36829,plain, 277.76/36.72 ( sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution,[status(thm)],[c_36818,c_52]) ). 277.76/36.72 277.76/36.72 cnf(c_36832,plain, 277.76/36.72 ( ~ sP1(sK4,sK3,sK2) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_36829,c_89]) ). 277.76/36.72 277.76/36.72 cnf(c_36839,plain, 277.76/36.72 ( sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution,[status(thm)],[c_36832,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_36881,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | sK12(sK4,sK3,sK2,ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) = ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_36839,c_36703]) ). 277.76/36.72 277.76/36.72 cnf(c_36883,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | sK12(sK4,sK3,sK2,ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) = ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution,[status(thm)],[c_36881,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_36891,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | sK12(sK4,sK3,sK2,ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) = ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_36883,c_53]) ). 277.76/36.72 277.76/36.72 cnf(c_36902,plain, 277.76/36.72 ( sK12(sK4,sK3,sK2,ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) = ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution,[status(thm)],[c_36891,c_52]) ). 277.76/36.72 277.76/36.72 cnf(c_36905,plain, 277.76/36.72 ( ~ sP1(sK4,sK3,sK2) 277.76/36.72 | sK12(sK4,sK3,sK2,ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) = ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_36902,c_89]) ). 277.76/36.72 277.76/36.72 cnf(c_36912,plain, 277.76/36.72 ( sK12(sK4,sK3,sK2,ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) = ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution,[status(thm)],[c_36905,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_36916,plain, 277.76/36.72 ( sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_32666,c_36912]) ). 277.76/36.72 277.76/36.72 cnf(c_560386,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_36916,c_85]) ). 277.76/36.72 277.76/36.72 cnf(c_560388,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_560386,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_86,plain, 277.76/36.72 ( ~ in(X0,sK10(X1,X2,X3)) | ~ sP1(X1,X2,X3) | in(sK13(X2,X3,X0),X2) ), 277.76/36.72 inference(cnf_transformation,[],[f139]) ). 277.76/36.72 277.76/36.72 cnf(c_63550,plain, 277.76/36.72 ( ~ sP1(X0,X1,X2) 277.76/36.72 | in(sK13(X1,X2,sK5(sK10(X0,X1,X2))),X1) 277.76/36.72 | in(sK7(sK10(X0,X1,X2)),sK3) ), 277.76/36.72 inference(superposition,[status(thm)],[c_52,c_86]) ). 277.76/36.72 277.76/36.72 cnf(c_63555,plain, 277.76/36.72 ( ~ sP1(X0,X1,X2) 277.76/36.72 | ordered_pair(sK7(sK10(X0,X1,X2)),sK8(sK10(X0,X1,X2))) = sK5(sK10(X0,X1,X2)) 277.76/36.72 | sK12(X0,X1,X2,sK5(sK10(X0,X1,X2))) = sK5(sK10(X0,X1,X2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_54,c_89]) ). 277.76/36.72 277.76/36.72 cnf(c_63608,plain, 277.76/36.72 ( ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_11229,c_63555]) ). 277.76/36.72 277.76/36.72 cnf(c_63557,plain, 277.76/36.72 ( ~ sP1(X0,X1,X2) 277.76/36.72 | sK12(X0,X1,X2,sK5(sK10(X0,X1,X2))) = sK5(sK10(X0,X1,X2)) 277.76/36.72 | in(sK7(sK10(X0,X1,X2)),sK3) ), 277.76/36.72 inference(superposition,[status(thm)],[c_52,c_89]) ). 277.76/36.72 277.76/36.72 cnf(c_63556,plain, 277.76/36.72 ( ~ sP1(X0,X1,X2) 277.76/36.72 | sK12(X0,X1,X2,sK5(sK10(X0,X1,X2))) = sK5(sK10(X0,X1,X2)) 277.76/36.72 | in(sK5(sK10(X0,X1,X2)),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_55,c_89]) ). 277.76/36.72 277.76/36.72 cnf(c_63640,plain, 277.76/36.72 ( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) 277.76/36.72 | ~ sP1(X3,X2,X4) 277.76/36.72 | ~ in(X0,X2) 277.76/36.72 | sK12(X3,X2,X4,ordered_pair(X0,X1)) = ordered_pair(X0,X1) 277.76/36.72 | sK11(X4,X0,X1) = X0 ), 277.76/36.72 inference(superposition,[status(thm)],[c_83,c_89]) ). 277.76/36.72 277.76/36.72 cnf(c_74439,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(X1,X2)) 277.76/36.72 | ~ in(sK7(sK10(X0,sK3,sK2)),X1) 277.76/36.72 | ~ sP1(X2,X1,X3) 277.76/36.72 | sK12(X2,X1,X3,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))) = ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(X3,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_63608,c_63640]) ). 277.76/36.72 277.76/36.72 cnf(c_74538,plain, 277.76/36.72 ( ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(X0,sK3,sK2) 277.76/36.72 | ~ sP1(sK4,sK3,X1) 277.76/36.72 | sK12(sK4,sK3,X1,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))) = ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(X1,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_63556,c_74439]) ). 277.76/36.72 277.76/36.72 cnf(c_74540,plain, 277.76/36.72 ( ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,X1) 277.76/36.72 | sK12(sK4,sK3,X1,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))) = ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(X1,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution,[status(thm)],[c_74538,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_74549,plain, 277.76/36.72 ( ~ sP1(X0,sK3,sK2) 277.76/36.72 | ~ sP1(sK4,sK3,X1) 277.76/36.72 | sK12(sK4,sK3,X1,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))) = ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(X1,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_63557,c_74540]) ). 277.76/36.72 277.76/36.72 cnf(c_74550,plain, 277.76/36.72 ( ~ sP1(sK4,sK3,X0) 277.76/36.72 | sK12(sK4,sK3,X0,ordered_pair(sK7(sK10(X1,sK3,sK2)),sK8(sK10(X1,sK3,sK2)))) = ordered_pair(sK7(sK10(X1,sK3,sK2)),sK8(sK10(X1,sK3,sK2))) 277.76/36.72 | sK11(X0,sK7(sK10(X1,sK3,sK2)),sK8(sK10(X1,sK3,sK2))) = sK7(sK10(X1,sK3,sK2)) 277.76/36.72 | sK12(X1,sK3,sK2,sK5(sK10(X1,sK3,sK2))) = sK5(sK10(X1,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution,[status(thm)],[c_74549,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_74557,plain, 277.76/36.72 ( sK12(sK4,sK3,sK2,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))) = ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_11229,c_74550]) ). 277.76/36.72 277.76/36.72 cnf(c_74563,plain, 277.76/36.72 ( ~ in(ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | in(ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_74557,c_85]) ). 277.76/36.72 277.76/36.72 cnf(c_74566,plain, 277.76/36.72 ( ~ in(ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))),sK10(sK4,sK3,sK2)) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | in(ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(forward_subsumption_resolution,[status(thm)],[c_74563,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_74606,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | in(ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_63608,c_74566]) ). 277.76/36.72 277.76/36.72 cnf(c_74697,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_63608,c_74606]) ). 277.76/36.72 277.76/36.72 cnf(c_74712,plain, 277.76/36.72 ( sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_55,c_74697]) ). 277.76/36.72 277.76/36.72 cnf(c_63641,plain, 277.76/36.72 ( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) 277.76/36.72 | ~ sP1(X3,X2,X4) 277.76/36.72 | ~ in(X0,X2) 277.76/36.72 | sK11(X4,X0,X1) = X0 277.76/36.72 | in(sK13(X2,X4,ordered_pair(X0,X1)),X2) ), 277.76/36.72 inference(superposition,[status(thm)],[c_83,c_86]) ). 277.76/36.72 277.76/36.72 cnf(c_66352,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(X1,X2)) 277.76/36.72 | ~ in(sK7(sK10(X0,sK3,sK2)),X1) 277.76/36.72 | ~ sP1(X2,X1,X3) 277.76/36.72 | sK11(X3,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | in(sK13(X1,X3,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))),X1) ), 277.76/36.72 inference(superposition,[status(thm)],[c_63608,c_63641]) ). 277.76/36.72 277.76/36.72 cnf(c_68840,plain, 277.76/36.72 ( ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(X0,sK3,sK2) 277.76/36.72 | ~ sP1(sK4,sK3,X1) 277.76/36.72 | sK11(X1,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | in(sK13(sK3,X1,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))),sK3) ), 277.76/36.72 inference(superposition,[status(thm)],[c_63556,c_66352]) ). 277.76/36.72 277.76/36.72 cnf(c_68842,plain, 277.76/36.72 ( ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,X1) 277.76/36.72 | sK11(X1,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | in(sK13(sK3,X1,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))),sK3) ), 277.76/36.72 inference(forward_subsumption_resolution,[status(thm)],[c_68840,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_69254,plain, 277.76/36.72 ( ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,X1) 277.76/36.72 | sK11(X1,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | in(sK13(sK3,X1,sK5(sK10(X0,sK3,sK2))),sK3) ), 277.76/36.72 inference(superposition,[status(thm)],[c_63608,c_68842]) ). 277.76/36.72 277.76/36.72 cnf(c_63655,plain, 277.76/36.72 ( ~ in(ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))),cartesian_product2(X1,X2)) 277.76/36.72 | ~ in(sK7(sK10(X0,sK3,sK2)),X1) 277.76/36.72 | ~ sP1(X2,X1,X3) 277.76/36.72 | sK11(X3,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(X0,sK3,sK2)),sK10(X2,X1,X3)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_63608,c_83]) ). 277.76/36.72 277.76/36.72 cnf(c_68813,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(X1,X2)) 277.76/36.72 | ~ in(sK7(sK10(X0,sK3,sK2)),X1) 277.76/36.72 | ~ sP1(X2,X1,X3) 277.76/36.72 | sK11(X3,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(X0,sK3,sK2)),sK10(X2,X1,X3)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_63608,c_63655]) ). 277.76/36.72 277.76/36.72 cnf(c_63639,plain, 277.76/36.72 ( ~ in(ordered_pair(X0,X1),cartesian_product2(X2,X3)) 277.76/36.72 | ~ sP1(X3,X2,X4) 277.76/36.72 | ~ in(X0,X2) 277.76/36.72 | ordered_pair(sK13(X2,X4,ordered_pair(X0,X1)),sK14(X2,X4,ordered_pair(X0,X1))) = ordered_pair(X0,X1) 277.76/36.72 | sK11(X4,X0,X1) = X0 ), 277.76/36.72 inference(superposition,[status(thm)],[c_83,c_88]) ). 277.76/36.72 277.76/36.72 cnf(c_150768,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(X1,X2)) 277.76/36.72 | ~ in(sK7(sK10(X0,sK3,sK2)),X1) 277.76/36.72 | ~ sP1(X2,X1,X3) 277.76/36.72 | ordered_pair(sK13(X1,X3,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))),sK14(X1,X3,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))))) = ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(X3,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_63608,c_63639]) ). 277.76/36.72 277.76/36.72 cnf(c_153474,plain, 277.76/36.72 ( ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(X0,sK3,sK2) 277.76/36.72 | ~ sP1(sK4,sK3,X1) 277.76/36.72 | ordered_pair(sK13(sK3,X1,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))),sK14(sK3,X1,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))))) = ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(X1,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_63556,c_150768]) ). 277.76/36.72 277.76/36.72 cnf(c_153481,plain, 277.76/36.72 ( ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,X1) 277.76/36.72 | ordered_pair(sK13(sK3,X1,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))),sK14(sK3,X1,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))))) = ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(X1,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_153474,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_154756,plain, 277.76/36.72 ( ~ sP1(X0,sK3,sK2) 277.76/36.72 | ~ sP1(sK4,sK3,X1) 277.76/36.72 | ordered_pair(sK13(sK3,X1,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))),sK14(sK3,X1,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))))) = ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(X1,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_63557,c_153481]) ). 277.76/36.72 277.76/36.72 cnf(c_154757,plain, 277.76/36.72 ( ~ sP1(sK4,sK3,X0) 277.76/36.72 | ordered_pair(sK13(sK3,X0,ordered_pair(sK7(sK10(X1,sK3,sK2)),sK8(sK10(X1,sK3,sK2)))),sK14(sK3,X0,ordered_pair(sK7(sK10(X1,sK3,sK2)),sK8(sK10(X1,sK3,sK2))))) = ordered_pair(sK7(sK10(X1,sK3,sK2)),sK8(sK10(X1,sK3,sK2))) 277.76/36.72 | sK11(X0,sK7(sK10(X1,sK3,sK2)),sK8(sK10(X1,sK3,sK2))) = sK7(sK10(X1,sK3,sK2)) 277.76/36.72 | sK12(X1,sK3,sK2,sK5(sK10(X1,sK3,sK2))) = sK5(sK10(X1,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_154756,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_154766,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2)))),sK14(sK3,sK2,ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))))) = ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_11229,c_154757]) ). 277.76/36.72 277.76/36.72 cnf(c_154773,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_63608,c_154766]) ). 277.76/36.72 277.76/36.72 cnf(c_156051,plain, 277.76/36.72 ( sK5(sK10(X0,sK3,sK2)) != sK5(X1) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X1),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X1),X1) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_154773,c_50]) ). 277.76/36.72 277.76/36.72 cnf(c_156625,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_156051]) ). 277.76/36.72 277.76/36.72 cnf(c_156695,plain, 277.76/36.72 ( ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,X0)) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(X0,sK3,sK2) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_68813,c_156625]) ). 277.76/36.72 277.76/36.72 cnf(c_156701,plain, 277.76/36.72 ( ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,X0)) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_156695,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_156694,plain, 277.76/36.72 ( ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | in(sK7(sK10(X0,sK3,sK2)),sK3) ), 277.76/36.72 inference(superposition,[status(thm)],[c_52,c_156625]) ). 277.76/36.72 277.76/36.72 cnf(c_156722,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ sP1(X0,sK3,sK2) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | in(sK7(sK10(X0,sK3,sK2)),sK3) ), 277.76/36.72 inference(superposition,[status(thm)],[c_63550,c_156694]) ). 277.76/36.72 277.76/36.72 cnf(c_156727,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | in(sK7(sK10(X0,sK3,sK2)),sK3) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_156722,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_157434,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,X0)) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_156701,c_156727]) ). 277.76/36.72 277.76/36.72 cnf(c_157435,plain, 277.76/36.72 ( ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,X0)) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(renaming,[status(thm)],[c_157434]) ). 277.76/36.72 277.76/36.72 cnf(c_157448,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,X0)) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_69254,c_157435]) ). 277.76/36.72 277.76/36.72 cnf(c_157450,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,X0)) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(X0,sK3,sK2)),sK3) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_157448,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_157492,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,X0)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_157450,c_156727]) ). 277.76/36.72 277.76/36.72 cnf(c_157493,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,X0)) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(renaming,[status(thm)],[c_157492]) ). 277.76/36.72 277.76/36.72 cnf(c_157507,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_74712,c_157493]) ). 277.76/36.72 277.76/36.72 cnf(c_157586,plain, 277.76/36.72 ( sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_157507,c_32217]) ). 277.76/36.72 277.76/36.72 cnf(c_156050,plain, 277.76/36.72 ( sK5(sK10(X0,sK3,sK2)) != sK5(X1) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X1),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X1),X1) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_154773,c_51]) ). 277.76/36.72 277.76/36.72 cnf(c_156616,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK11(sK2,sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK7(sK10(X0,sK3,sK2)) 277.76/36.72 | sK12(X0,sK3,sK2,sK5(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_156050]) ). 277.76/36.72 277.76/36.72 cnf(c_157592,plain, 277.76/36.72 ( ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_157586,c_156616]) ). 277.76/36.72 277.76/36.72 cnf(c_158398,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_157592,c_32217]) ). 277.76/36.72 277.76/36.72 cnf(c_158399,plain, 277.76/36.72 ( ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(renaming,[status(thm)],[c_158398]) ). 277.76/36.72 277.76/36.72 cnf(c_87,plain, 277.76/36.72 ( ~ element(sK13(X0,X1,X2),powerset(the_carrier(X1))) 277.76/36.72 | ~ in(X2,sK10(X3,X0,X1)) 277.76/36.72 | ~ sP1(X3,X0,X1) 277.76/36.72 | subset_complement(the_carrier(X1),sK13(X0,X1,X2)) = sK14(X0,X1,X2) ), 277.76/36.72 inference(cnf_transformation,[],[f176]) ). 277.76/36.72 277.76/36.72 cnf(c_158413,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ sP1(X0,sK3,sK2) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_158399,c_87]) ). 277.76/36.72 277.76/36.72 cnf(c_158414,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_158413,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_158651,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK7(sK10(sK4,sK3,sK2)),sK3) ), 277.76/36.72 inference(superposition,[status(thm)],[c_63550,c_158414]) ). 277.76/36.72 277.76/36.72 cnf(c_158657,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK7(sK10(sK4,sK3,sK2)),sK3) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_158651,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_158654,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_69254,c_158414]) ). 277.76/36.72 277.76/36.72 cnf(c_158656,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_158654,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_158693,plain, 277.76/36.72 ( sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_158657,c_158656]) ). 277.76/36.72 277.76/36.72 cnf(c_158694,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(renaming,[status(thm)],[c_158693]) ). 277.76/36.72 277.76/36.72 cnf(c_158703,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK7(sK10(sK4,sK3,sK2)),sK3) ), 277.76/36.72 inference(superposition,[status(thm)],[c_52,c_158694]) ). 277.76/36.72 277.76/36.72 cnf(c_158704,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_68813,c_158694]) ). 277.76/36.72 277.76/36.72 cnf(c_158712,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_158704,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_158738,plain, 277.76/36.72 ( sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_158703,c_32217,c_158712]) ). 277.76/36.72 277.76/36.72 cnf(c_158739,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(renaming,[status(thm)],[c_158738]) ). 277.76/36.72 277.76/36.72 cnf(c_158746,plain, 277.76/36.72 ( sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_55,c_158739]) ). 277.76/36.72 277.76/36.72 cnf(c_4775,plain,( X0 = X0 ),theory(equality) ). 277.76/36.72 277.76/36.72 cnf(c_24164,plain, 277.76/36.72 ( cartesian_product2(sK3,sK4) = cartesian_product2(sK3,sK4) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_4775]) ). 277.76/36.72 277.76/36.72 cnf(c_4778,plain, 277.76/36.72 ( X0 != X1 | X2 != X3 | ~ in(X1,X3) | in(X0,X2) ), 277.76/36.72 theory(equality) ). 277.76/36.72 277.76/36.72 cnf(c_95114,plain, 277.76/36.72 ( X0 != sK12(X1,X2,sK2,sK5(sK10(X1,X2,sK2))) 277.76/36.72 | X3 != cartesian_product2(X2,X1) 277.76/36.72 | ~ in(sK12(X1,X2,sK2,sK5(sK10(X1,X2,sK2))),cartesian_product2(X2,X1)) 277.76/36.72 | in(X0,X3) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_4778]) ). 277.76/36.72 277.76/36.72 cnf(c_95348,plain, 277.76/36.72 ( sK5(sK10(X0,X1,sK2)) != sK12(X0,X1,sK2,sK5(sK10(X0,X1,sK2))) 277.76/36.72 | X2 != cartesian_product2(X1,X0) 277.76/36.72 | ~ in(sK12(X0,X1,sK2,sK5(sK10(X0,X1,sK2))),cartesian_product2(X1,X0)) 277.76/36.72 | in(sK5(sK10(X0,X1,sK2)),X2) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_95114]) ). 277.76/36.72 277.76/36.72 cnf(c_95768,plain, 277.76/36.72 ( sK5(sK10(X0,X1,sK2)) != sK12(X0,X1,sK2,sK5(sK10(X0,X1,sK2))) 277.76/36.72 | cartesian_product2(X2,X3) != cartesian_product2(X1,X0) 277.76/36.72 | ~ in(sK12(X0,X1,sK2,sK5(sK10(X0,X1,sK2))),cartesian_product2(X1,X0)) 277.76/36.72 | in(sK5(sK10(X0,X1,sK2)),cartesian_product2(X2,X3)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_95348]) ). 277.76/36.72 277.76/36.72 cnf(c_129907,plain, 277.76/36.72 ( sK5(sK10(X0,X1,sK2)) != sK12(X0,X1,sK2,sK5(sK10(X0,X1,sK2))) 277.76/36.72 | cartesian_product2(sK3,sK4) != cartesian_product2(X1,X0) 277.76/36.72 | ~ in(sK12(X0,X1,sK2,sK5(sK10(X0,X1,sK2))),cartesian_product2(X1,X0)) 277.76/36.72 | in(sK5(sK10(X0,X1,sK2)),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_95768]) ). 277.76/36.72 277.76/36.72 cnf(c_158025,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | cartesian_product2(sK3,sK4) != cartesian_product2(sK3,sK4) 277.76/36.72 | ~ in(sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))),cartesian_product2(sK3,sK4)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_129907]) ). 277.76/36.72 277.76/36.72 cnf(c_159367,plain, 277.76/36.72 ( sK5(X0) != X1 | X2 != X1 | sK5(X0) = X2 ), 277.76/36.72 inference(instantiation,[status(thm)],[c_4777]) ). 277.76/36.72 277.76/36.72 cnf(c_159457,plain, 277.76/36.72 ( sK5(X0) != sK5(X0) | X1 != sK5(X0) | sK5(X0) = X1 ), 277.76/36.72 inference(instantiation,[status(thm)],[c_159367]) ). 277.76/36.72 277.76/36.72 cnf(c_159698,plain, 277.76/36.72 ( sK12(X0,X1,sK2,sK5(sK10(X0,X1,sK2))) != sK5(sK10(X0,X1,sK2)) 277.76/36.72 | sK5(sK10(X0,X1,sK2)) != sK5(sK10(X0,X1,sK2)) 277.76/36.72 | sK5(sK10(X0,X1,sK2)) = sK12(X0,X1,sK2,sK5(sK10(X0,X1,sK2))) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_159457]) ). 277.76/36.72 277.76/36.72 cnf(c_164227,plain, 277.76/36.72 ( sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) != sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK5(sK10(sK4,sK3,sK2)) != sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK5(sK10(sK4,sK3,sK2)) = sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_159698]) ). 277.76/36.72 277.76/36.72 cnf(c_159375,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,X1,X2)),sK10(X0,X1,X2)) 277.76/36.72 | ~ sP1(X0,X1,X2) 277.76/36.72 | sK12(X0,X1,X2,sK5(sK10(X0,X1,X2))) = sK5(sK10(X0,X1,X2)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_89]) ). 277.76/36.72 277.76/36.72 cnf(c_159467,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,X1,sK2)),sK10(X0,X1,sK2)) 277.76/36.72 | ~ sP1(X0,X1,sK2) 277.76/36.72 | sK12(X0,X1,sK2,sK5(sK10(X0,X1,sK2))) = sK5(sK10(X0,X1,sK2)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_159375]) ). 277.76/36.72 277.76/36.72 cnf(c_164230,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_159467]) ). 277.76/36.72 277.76/36.72 cnf(c_159975,plain, 277.76/36.72 ( in(sK5(sK10(X0,X1,sK2)),sK10(X0,X1,sK2)) 277.76/36.72 | in(sK5(sK10(X0,X1,sK2)),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_55]) ). 277.76/36.72 277.76/36.72 cnf(c_165314,plain, 277.76/36.72 ( in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_159975]) ). 277.76/36.72 277.76/36.72 cnf(c_159364,plain, 277.76/36.72 ( sK5(X0) = sK5(X0) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_4775]) ). 277.76/36.72 277.76/36.72 cnf(c_165458,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_159364]) ). 277.76/36.72 277.76/36.72 cnf(c_159374,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,X1,X2)),sK10(X0,X1,X2)) 277.76/36.72 | ~ sP1(X0,X1,X2) 277.76/36.72 | in(sK12(X0,X1,X2,sK5(sK10(X0,X1,X2))),cartesian_product2(X1,X0)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_85]) ). 277.76/36.72 277.76/36.72 cnf(c_159465,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,X1,sK2)),sK10(X0,X1,sK2)) 277.76/36.72 | ~ sP1(X0,X1,sK2) 277.76/36.72 | in(sK12(X0,X1,sK2,sK5(sK10(X0,X1,sK2))),cartesian_product2(X1,X0)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_159374]) ). 277.76/36.72 277.76/36.72 cnf(c_172961,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | in(sK12(sK4,sK3,sK2,sK5(sK10(sK4,sK3,sK2))),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_159465]) ). 277.76/36.72 277.76/36.72 cnf(c_175967,plain, 277.76/36.72 ( sP1(sK4,sK3,sK2) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_204502,plain, 277.76/36.72 ( in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_158746,c_24164,c_158025,c_164227,c_164230,c_165314,c_165458, 277.76/36.72 c_172961,c_175967]) ). 277.76/36.72 277.76/36.72 cnf(c_560496,plain, 277.76/36.72 ( in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_560388,c_24164,c_158025,c_164227,c_164230,c_165314,c_165458, 277.76/36.72 c_172961,c_175967]) ). 277.76/36.72 277.76/36.72 cnf(c_560393,plain, 277.76/36.72 ( ~ sP1(X0,X1,X2) 277.76/36.72 | ordered_pair(sK13(X1,X2,sK5(sK10(X0,X1,X2))),sK14(X1,X2,sK5(sK10(X0,X1,X2)))) = sK5(sK10(X0,X1,X2)) 277.76/36.72 | ordered_pair(sK7(sK10(X0,X1,X2)),sK8(sK10(X0,X1,X2))) = sK5(sK10(X0,X1,X2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_54,c_88]) ). 277.76/36.72 277.76/36.72 cnf(c_560444,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_11229,c_560393]) ). 277.76/36.72 277.76/36.72 cnf(c_560518,plain, 277.76/36.72 ( sK5(sK10(X0,sK3,sK2)) != sK5(X1) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X1),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X1),X1) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_560444,c_50]) ). 277.76/36.72 277.76/36.72 cnf(c_11412,plain, 277.76/36.72 ( ~ sP1(X0,X1,X2) 277.76/36.72 | ordered_pair(sK13(X1,X2,sK5(sK10(X0,X1,X2))),sK14(X1,X2,sK5(sK10(X0,X1,X2)))) = sK5(sK10(X0,X1,X2)) 277.76/36.72 | ordered_pair(sK7(sK10(X0,X1,X2)),sK8(sK10(X0,X1,X2))) = sK5(sK10(X0,X1,X2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_54,c_88]) ). 277.76/36.72 277.76/36.72 cnf(c_11461,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_11229,c_11412]) ). 277.76/36.72 277.76/36.72 cnf(c_11622,plain, 277.76/36.72 ( sK5(sK10(X0,sK3,sK2)) != sK5(X1) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X1),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X1),X1) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_11461,c_50]) ). 277.76/36.72 277.76/36.72 cnf(c_19435,plain, 277.76/36.72 ( ~ sP1(X0,X1,X2) 277.76/36.72 | ordered_pair(sK13(X1,X2,sK5(sK10(X0,X1,X2))),sK14(X1,X2,sK5(sK10(X0,X1,X2)))) = sK5(sK10(X0,X1,X2)) 277.76/36.72 | ordered_pair(sK7(sK10(X0,X1,X2)),sK8(sK10(X0,X1,X2))) = sK5(sK10(X0,X1,X2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_54,c_88]) ). 277.76/36.72 277.76/36.72 cnf(c_19484,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_11229,c_19435]) ). 277.76/36.72 277.76/36.72 cnf(c_19664,plain, 277.76/36.72 ( sK5(sK10(X0,sK3,sK2)) != sK5(X1) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X1),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X1),X1) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_19484,c_50]) ). 277.76/36.72 277.76/36.72 cnf(c_19678,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_19664]) ). 277.76/36.72 277.76/36.72 cnf(c_11336,plain, 277.76/36.72 ( ~ sP1(X0,X1,X2) 277.76/36.72 | ordered_pair(sK7(sK10(X0,X1,X2)),sK8(sK10(X0,X1,X2))) = sK5(sK10(X0,X1,X2)) 277.76/36.72 | in(sK13(X1,X2,sK5(sK10(X0,X1,X2))),X1) ), 277.76/36.72 inference(superposition,[status(thm)],[c_54,c_86]) ). 277.76/36.72 277.76/36.72 cnf(c_11641,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_11622]) ). 277.76/36.72 277.76/36.72 cnf(c_12144,plain, 277.76/36.72 ( ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution,[status(thm)],[c_11641,c_54]) ). 277.76/36.72 277.76/36.72 cnf(c_12145,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ sP1(X0,sK3,sK2) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_11336,c_12144]) ). 277.76/36.72 277.76/36.72 cnf(c_12149,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution,[status(thm)],[c_12145,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_20113,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_19678,c_12149]) ). 277.76/36.72 277.76/36.72 cnf(c_20118,plain, 277.76/36.72 ( sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(X0,sK3,sK2)),sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_55,c_20113]) ). 277.76/36.72 277.76/36.72 cnf(c_372293,plain, 277.76/36.72 ( ~ in(X0,sK10(X1,X2,sK2)) | ~ sP1(X1,X2,sK2) | in(sK13(X2,sK2,X0),X2) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_86]) ). 277.76/36.72 277.76/36.72 cnf(c_372395,plain, 277.76/36.72 ( ~ in(sK5(X0),sK10(X1,sK3,sK2)) 277.76/36.72 | ~ sP1(X1,sK3,sK2) 277.76/36.72 | in(sK13(sK3,sK2,sK5(X0)),sK3) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_372293]) ). 277.76/36.72 277.76/36.72 cnf(c_372658,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ sP1(X0,sK3,sK2) 277.76/36.72 | in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_372395]) ). 277.76/36.72 277.76/36.72 cnf(c_372769,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_372658,c_9444]) ). 277.76/36.72 277.76/36.72 cnf(c_560529,plain, 277.76/36.72 ( sK5(sK10(X0,sK3,sK2)) != sK5(X1) 277.76/36.72 | ~ in(sK5(X1),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X1),X1) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_560518,c_11622,c_20118,c_372769]) ). 277.76/36.72 277.76/36.72 cnf(c_560537,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_560529]) ). 277.76/36.72 277.76/36.72 cnf(c_560837,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_560537,c_12149]) ). 277.76/36.72 277.76/36.72 cnf(c_560845,plain, 277.76/36.72 ( sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_560496,c_560837]) ). 277.76/36.72 277.76/36.72 cnf(c_63626,plain, 277.76/36.72 ( ~ sP1(X0,X1,X2) 277.76/36.72 | ordered_pair(sK13(X1,X2,sK5(sK10(X0,X1,X2))),sK14(X1,X2,sK5(sK10(X0,X1,X2)))) = sK5(sK10(X0,X1,X2)) 277.76/36.72 | ordered_pair(sK7(sK10(X0,X1,X2)),sK8(sK10(X0,X1,X2))) = sK5(sK10(X0,X1,X2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_54,c_88]) ). 277.76/36.72 277.76/36.72 cnf(c_63678,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_11229,c_63626]) ). 277.76/36.72 277.76/36.72 cnf(c_63851,plain, 277.76/36.72 ( sK5(sK10(X0,sK3,sK2)) != sK5(X1) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X1),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X1),X1) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_63678,c_50]) ). 277.76/36.72 277.76/36.72 cnf(c_63865,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_63851]) ). 277.76/36.72 277.76/36.72 cnf(c_64277,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_63865,c_12149]) ). 277.76/36.72 277.76/36.72 cnf(c_204543,plain, 277.76/36.72 ( sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_204502,c_64277]) ). 277.76/36.72 277.76/36.72 cnf(c_63850,plain, 277.76/36.72 ( sK5(sK10(X0,sK3,sK2)) != sK5(X1) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X1),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X1),X1) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_63678,c_51]) ). 277.76/36.72 277.76/36.72 cnf(c_63858,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_63850]) ). 277.76/36.72 277.76/36.72 cnf(c_64131,plain, 277.76/36.72 ( ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ordered_pair(sK7(sK10(X0,sK3,sK2)),sK8(sK10(X0,sK3,sK2))) = sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution,[status(thm)],[c_63858,c_54]) ). 277.76/36.72 277.76/36.72 cnf(c_225500,plain, 277.76/36.72 ( ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_204543,c_64131]) ). 277.76/36.72 277.76/36.72 cnf(c_225501,plain, 277.76/36.72 ( ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_225500,c_204502]) ). 277.76/36.72 277.76/36.72 cnf(c_159334,plain, 277.76/36.72 ( ordered_pair(sK7(sK10(X0,X1,X2)),sK8(sK10(X0,X1,X2))) = sK5(sK10(X0,X1,X2)) 277.76/36.72 | in(sK5(sK10(X0,X1,X2)),sK10(X0,X1,X2)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_54]) ). 277.76/36.72 277.76/36.72 cnf(c_165310,plain, 277.76/36.72 ( ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_159334]) ). 277.76/36.72 277.76/36.72 cnf(c_159333,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,X1,X2)),sK10(X0,X1,X2)) 277.76/36.72 | ~ sP1(X0,X1,X2) 277.76/36.72 | in(sK13(X1,X2,sK5(sK10(X0,X1,X2))),X1) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_86]) ). 277.76/36.72 277.76/36.72 cnf(c_159377,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,X1,sK2)),sK10(X0,X1,sK2)) 277.76/36.72 | ~ sP1(X0,X1,sK2) 277.76/36.72 | in(sK13(X1,sK2,sK5(sK10(X0,X1,sK2))),X1) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_159333]) ). 277.76/36.72 277.76/36.72 cnf(c_175768,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_159377]) ). 277.76/36.72 277.76/36.72 cnf(c_227032,plain, 277.76/36.72 ( ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_225501,c_165310,c_175768,c_175967]) ). 277.76/36.72 277.76/36.72 cnf(c_227044,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ sP1(X0,sK3,sK2) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_227032,c_87]) ). 277.76/36.72 277.76/36.72 cnf(c_227045,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_227044,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_235722,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_54,c_227045]) ). 277.76/36.72 277.76/36.72 cnf(c_49,negated_conjecture, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK6(X0,X1)) != X1 277.76/36.72 | ordered_pair(X0,X1) != sK5(X2) 277.76/36.72 | ~ in(sK5(X2),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X2),X2) 277.76/36.72 | ~ in(X0,sK3) ), 277.76/36.72 inference(cnf_transformation,[],[f111]) ). 277.76/36.72 277.76/36.72 cnf(c_225498,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK5(X0) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_204543,c_49]) ). 277.76/36.72 277.76/36.72 cnf(c_227024,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_225498,c_165310,c_175768,c_175967]) ). 277.76/36.72 277.76/36.72 cnf(c_227025,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK5(X0) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(renaming,[status(thm)],[c_227024]) ). 277.76/36.72 277.76/36.72 cnf(c_235739,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_235722,c_227025]) ). 277.76/36.72 277.76/36.72 cnf(c_235767,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_63678,c_235739]) ). 277.76/36.72 277.76/36.72 cnf(c_235932,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_235767]) ). 277.76/36.72 277.76/36.72 cnf(c_235933,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_235932,c_204502]) ). 277.76/36.72 277.76/36.72 cnf(c_235934,plain, 277.76/36.72 ( ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_235933,c_165310]) ). 277.76/36.72 277.76/36.72 cnf(c_561410,plain, 277.76/36.72 ( ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_560845,c_165310,c_235933]) ). 277.76/36.72 277.76/36.72 cnf(c_561413,plain, 277.76/36.72 ( ~ in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),cartesian_product2(X0,X1)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),X0) 277.76/36.72 | ~ sP1(X1,X0,X2) 277.76/36.72 | sK11(X2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(X1,X0,X2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_561410,c_83]) ). 277.76/36.72 277.76/36.72 cnf(c_572942,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(X0,X1)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),X0) 277.76/36.72 | ~ sP1(X1,X0,X2) 277.76/36.72 | sK11(X2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(X1,X0,X2)) ), 277.76/36.72 inference(light_normalisation,[status(thm)],[c_561413,c_561410]) ). 277.76/36.72 277.76/36.72 cnf(c_561415,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_561410,c_50]) ). 277.76/36.72 277.76/36.72 cnf(c_561428,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_561415]) ). 277.76/36.72 277.76/36.72 cnf(c_561429,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_561428,c_560496]) ). 277.76/36.72 277.76/36.72 cnf(c_572969,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_572942,c_561429]) ). 277.76/36.72 277.76/36.72 cnf(c_572971,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_572969,c_11229,c_560496]) ). 277.76/36.72 277.76/36.72 cnf(c_572979,plain, 277.76/36.72 ( sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_52,c_572971]) ). 277.76/36.72 277.76/36.72 cnf(c_170652,plain, 277.76/36.72 ( ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) != sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK5(sK10(sK4,sK3,sK2)) != sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK5(sK10(sK4,sK3,sK2)) = ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_159457]) ). 277.76/36.72 277.76/36.72 cnf(c_375143,plain, 277.76/36.72 ( ~ in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,X0) 277.76/36.72 | sK11(X0,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),sK10(sK4,sK3,X0)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_83]) ). 277.76/36.72 277.76/36.72 cnf(c_159330,plain, 277.76/36.72 ( X0 != sK5(X1) 277.76/36.72 | X2 != cartesian_product2(sK3,sK4) 277.76/36.72 | ~ in(sK5(X1),cartesian_product2(sK3,sK4)) 277.76/36.72 | in(X0,X2) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_4778]) ). 277.76/36.72 277.76/36.72 cnf(c_170648,plain, 277.76/36.72 ( ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) != sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | X0 != cartesian_product2(sK3,sK4) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),X0) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_159330]) ). 277.76/36.72 277.76/36.72 cnf(c_193933,plain, 277.76/36.72 ( ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) != sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | cartesian_product2(sK3,sK4) != cartesian_product2(sK3,sK4) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_170648]) ). 277.76/36.72 277.76/36.72 cnf(c_279121,plain, 277.76/36.72 ( ~ in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,X0) 277.76/36.72 | sK11(X0,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),sK10(sK4,sK3,X0)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_83]) ). 277.76/36.72 277.76/36.72 cnf(c_377036,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,X0) 277.76/36.72 | sK11(X0,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),sK10(sK4,sK3,X0)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_375143,c_24164,c_158025,c_164227,c_164230,c_165310,c_165314, 277.76/36.72 c_165458,c_172961,c_175967,c_193933,c_235933,c_279121]) ). 277.76/36.72 277.76/36.72 cnf(c_377039,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_377036]) ). 277.76/36.72 277.76/36.72 cnf(c_159336,plain, 277.76/36.72 ( in(sK5(sK10(X0,X1,X2)),sK10(X0,X1,X2)) | in(sK7(sK10(X0,X1,X2)),sK3) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_52]) ). 277.76/36.72 277.76/36.72 cnf(c_165311,plain, 277.76/36.72 ( in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK7(sK10(sK4,sK3,sK2)),sK3) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_159336]) ). 277.76/36.72 277.76/36.72 cnf(c_160024,plain, 277.76/36.72 ( sK10(X0,X1,sK2) = sK10(X0,X1,sK2) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_4775]) ). 277.76/36.72 277.76/36.72 cnf(c_171214,plain, 277.76/36.72 ( sK10(sK4,sK3,sK2) = sK10(sK4,sK3,sK2) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_160024]) ). 277.76/36.72 277.76/36.72 cnf(c_296261,plain, 277.76/36.72 ( ~ in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_279121]) ). 277.76/36.72 277.76/36.72 cnf(c_372289,plain, 277.76/36.72 ( X0 != sK5(X1) | X2 != X1 | ~ in(sK5(X1),X1) | in(X0,X2) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_4778]) ). 277.76/36.72 277.76/36.72 cnf(c_372748,plain, 277.76/36.72 ( ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) != sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | X0 != sK10(sK4,sK3,sK2) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),X0) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_372289]) ). 277.76/36.72 277.76/36.72 cnf(c_159329,plain, 277.76/36.72 ( X0 != sK5(X1) | X2 != X1 | ~ in(sK5(X1),X1) | in(X0,X2) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_4778]) ). 277.76/36.72 277.76/36.72 cnf(c_170647,plain, 277.76/36.72 ( ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) != sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | X0 != sK10(sK4,sK3,sK2) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),X0) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_159329]) ). 277.76/36.72 277.76/36.72 cnf(c_373372,plain, 277.76/36.72 ( X0 != sK10(sK4,sK3,sK2) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),X0) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_372748,c_165310,c_170647,c_235933]) ). 277.76/36.72 277.76/36.72 cnf(c_373479,plain, 277.76/36.72 ( sK10(sK4,sK3,sK2) != sK10(sK4,sK3,sK2) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_373372]) ). 277.76/36.72 277.76/36.72 cnf(c_378109,plain, 277.76/36.72 ( sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_377039,c_24164,c_158025,c_164227,c_164230,c_165311,c_165310, 277.76/36.72 c_165314,c_165458,c_171214,c_172961,c_175967,c_193933, 277.76/36.72 c_235933,c_296261,c_373479]) ). 277.76/36.72 277.76/36.72 cnf(c_373756,plain, 277.76/36.72 ( X0 != ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) 277.76/36.72 | X1 != sK10(sK4,sK3,sK2) 277.76/36.72 | ~ in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),sK10(sK4,sK3,sK2)) 277.76/36.72 | in(X0,X1) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_4778]) ). 277.76/36.72 277.76/36.72 cnf(c_375228,plain, 277.76/36.72 ( sK10(sK4,sK3,sK2) != sK10(sK4,sK3,sK2) 277.76/36.72 | X0 != ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) 277.76/36.72 | ~ in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),sK10(sK4,sK3,sK2)) 277.76/36.72 | in(X0,sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_373756]) ). 277.76/36.72 277.76/36.72 cnf(c_376420,plain, 277.76/36.72 ( X0 != ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) 277.76/36.72 | ~ in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),sK10(sK4,sK3,sK2)) 277.76/36.72 | in(X0,sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_375228,c_171214]) ). 277.76/36.72 277.76/36.72 cnf(c_413102,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) 277.76/36.72 | ~ in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_376420]) ). 277.76/36.72 277.76/36.72 cnf(c_572992,plain, 277.76/36.72 ( sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_572979,c_24164,c_158025,c_164227,c_164230,c_165311,c_165310, 277.76/36.72 c_165314,c_165458,c_170652,c_171214,c_172961,c_175967, 277.76/36.72 c_193933,c_235933,c_296261,c_373479,c_413102]) ). 277.76/36.72 277.76/36.72 cnf(c_572997,plain, 277.76/36.72 ( ~ sP1(sK4,sK3,sK2) 277.76/36.72 | ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_572992,c_88]) ). 277.76/36.72 277.76/36.72 cnf(c_573020,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_572997,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_573076,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573020,c_50]) ). 277.76/36.72 277.76/36.72 cnf(c_372352,plain, 277.76/36.72 ( ordered_pair(sK13(X0,sK2,sK5(X1)),sK14(X0,sK2,sK5(X1))) != sK5(X1) 277.76/36.72 | ~ in(sK13(X0,sK2,sK5(X1)),sK3) 277.76/36.72 | ~ in(sK5(X1),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X1),X1) 277.76/36.72 | sK6(sK13(X0,sK2,sK5(X1)),sK14(X0,sK2,sK5(X1))) = sK13(X0,sK2,sK5(X1)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_50]) ). 277.76/36.72 277.76/36.72 cnf(c_372775,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) != sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_372352]) ). 277.76/36.72 277.76/36.72 cnf(c_373392,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ordered_pair(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) != sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_372775,c_9444,c_372658]) ). 277.76/36.72 277.76/36.72 cnf(c_373393,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) != sK5(sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(X0,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(X0,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(X0,sK3,sK2))) ), 277.76/36.72 inference(renaming,[status(thm)],[c_373392]) ). 277.76/36.72 277.76/36.72 cnf(c_373397,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_373393]) ). 277.76/36.72 277.76/36.72 cnf(c_159603,plain, 277.76/36.72 ( ordered_pair(sK13(X0,sK2,sK5(sK10(X1,X0,sK2))),sK14(X0,sK2,sK5(sK10(X1,X0,sK2)))) != sK5(sK10(X1,X0,sK2)) 277.76/36.72 | ~ in(sK5(sK10(X1,X0,sK2)),sK10(X1,X0,sK2)) 277.76/36.72 | ~ in(sK13(X0,sK2,sK5(sK10(X1,X0,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(X1,X0,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(X0,sK2,sK5(sK10(X1,X0,sK2))),sK14(X0,sK2,sK5(sK10(X1,X0,sK2)))) = sK13(X0,sK2,sK5(sK10(X1,X0,sK2))) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_50]) ). 277.76/36.72 277.76/36.72 cnf(c_170676,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_159603]) ). 277.76/36.72 277.76/36.72 cnf(c_159373,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,X1,X2)),sK10(X0,X1,X2)) 277.76/36.72 | ~ sP1(X0,X1,X2) 277.76/36.72 | ordered_pair(sK13(X1,X2,sK5(sK10(X0,X1,X2))),sK14(X1,X2,sK5(sK10(X0,X1,X2)))) = sK5(sK10(X0,X1,X2)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_88]) ). 277.76/36.72 277.76/36.72 cnf(c_159469,plain, 277.76/36.72 ( ~ in(sK5(sK10(X0,X1,sK2)),sK10(X0,X1,sK2)) 277.76/36.72 | ~ sP1(X0,X1,sK2) 277.76/36.72 | ordered_pair(sK13(X1,sK2,sK5(sK10(X0,X1,sK2))),sK14(X1,sK2,sK5(sK10(X0,X1,sK2)))) = sK5(sK10(X0,X1,sK2)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_159373]) ). 277.76/36.72 277.76/36.72 cnf(c_176025,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_159469]) ). 277.76/36.72 277.76/36.72 cnf(c_373730,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_373397,c_24164,c_158025,c_164227,c_164230,c_165314,c_165458, 277.76/36.72 c_170676,c_172961,c_175768,c_175967,c_176025]) ). 277.76/36.72 277.76/36.72 cnf(c_573103,plain, 277.76/36.72 ( sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573076,c_373730,c_572992]) ). 277.76/36.72 277.76/36.72 cnf(c_573075,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573020,c_51]) ). 277.76/36.72 277.76/36.72 cnf(c_572999,plain, 277.76/36.72 ( ~ sP1(sK4,sK3,sK2) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) ), 277.76/36.72 inference(superposition,[status(thm)],[c_572992,c_86]) ). 277.76/36.72 277.76/36.72 cnf(c_573019,plain, 277.76/36.72 ( sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_572999,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_573093,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573075,c_573019]) ). 277.76/36.72 277.76/36.72 cnf(c_573101,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_573093]) ). 277.76/36.72 277.76/36.72 cnf(c_573102,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573101,c_560496]) ). 277.76/36.72 277.76/36.72 cnf(c_573119,plain, 277.76/36.72 ( sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573102,c_572992]) ). 277.76/36.72 277.76/36.72 cnf(c_573123,plain, 277.76/36.72 ( sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573103,c_573119]) ). 277.76/36.72 277.76/36.72 cnf(c_573138,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ sP1(X0,sK3,sK2) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573123,c_87]) ). 277.76/36.72 277.76/36.72 cnf(c_573139,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573138,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_573191,plain, 277.76/36.72 ( sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_572992,c_573139]) ). 277.76/36.72 277.76/36.72 cnf(c_561412,plain, 277.76/36.72 ( ~ in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),cartesian_product2(X0,X1)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),X0) 277.76/36.72 | ~ sP1(X1,X0,X2) 277.76/36.72 | element(sK11(X2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),powerset(the_carrier(X2))) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(X1,X0,X2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_561410,c_84]) ). 277.76/36.72 277.76/36.72 cnf(c_572810,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(X0,X1)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),X0) 277.76/36.72 | ~ sP1(X1,X0,X2) 277.76/36.72 | element(sK11(X2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),powerset(the_carrier(X2))) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(X1,X0,X2)) ), 277.76/36.72 inference(light_normalisation,[status(thm)],[c_561412,c_561410]) ). 277.76/36.72 277.76/36.72 cnf(c_573218,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(X0,X1)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),X0) 277.76/36.72 | ~ sP1(X1,X0,sK2) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(X1,X0,sK2)) 277.76/36.72 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573191,c_572810]) ). 277.76/36.72 277.76/36.72 cnf(c_572838,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_572810,c_561429]) ). 277.76/36.72 277.76/36.72 cnf(c_572846,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_572838,c_11229,c_560496]) ). 277.76/36.72 277.76/36.72 cnf(c_573214,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573191,c_572846]) ). 277.76/36.72 277.76/36.72 cnf(c_573234,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573214,c_53]) ). 277.76/36.72 277.76/36.72 cnf(c_573241,plain, 277.76/36.72 ( sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573234,c_165311]) ). 277.76/36.72 277.76/36.72 cnf(c_573248,plain, 277.76/36.72 ( ~ sP1(sK4,sK3,sK2) 277.76/36.72 | ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573241,c_88]) ). 277.76/36.72 277.76/36.72 cnf(c_573272,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573248,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_573684,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573272,c_50]) ). 277.76/36.72 277.76/36.72 cnf(c_573713,plain, 277.76/36.72 ( sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573684,c_373730,c_573241]) ). 277.76/36.72 277.76/36.72 cnf(c_573683,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573272,c_51]) ). 277.76/36.72 277.76/36.72 cnf(c_235997,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_235934,c_50]) ). 277.76/36.72 277.76/36.72 cnf(c_573701,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573683,c_165311,c_175768,c_175967,c_235997]) ). 277.76/36.72 277.76/36.72 cnf(c_573711,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_573701]) ). 277.76/36.72 277.76/36.72 cnf(c_573712,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573711,c_560496]) ). 277.76/36.72 277.76/36.72 cnf(c_573765,plain, 277.76/36.72 ( sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573712,c_165311,c_573234]) ). 277.76/36.72 277.76/36.72 cnf(c_573771,plain, 277.76/36.72 ( sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573713,c_573765]) ). 277.76/36.72 277.76/36.72 cnf(c_573789,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ sP1(X0,sK3,sK2) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573771,c_87]) ). 277.76/36.72 277.76/36.72 cnf(c_573790,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573789,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_573803,plain, 277.76/36.72 ( sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573241,c_573790]) ). 277.76/36.72 277.76/36.72 cnf(c_561414,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | element(sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_561410,c_51]) ). 277.76/36.72 277.76/36.72 cnf(c_561421,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | element(sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_561414]) ). 277.76/36.72 277.76/36.72 cnf(c_561422,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | element(sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_561421,c_560496]) ). 277.76/36.72 277.76/36.72 cnf(c_573817,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573803,c_561422]) ). 277.76/36.72 277.76/36.72 cnf(c_6937,plain, 277.76/36.72 ( the_carrier(sK2) = the_carrier(sK2) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_4775]) ). 277.76/36.72 277.76/36.72 cnf(c_170641,plain, 277.76/36.72 ( ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) != sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_50]) ). 277.76/36.72 277.76/36.72 cnf(c_175720,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) != X0 277.76/36.72 | sK8(sK10(sK4,sK3,sK2)) != X0 277.76/36.72 | subset_complement(the_carrier(sK2),sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_4777]) ). 277.76/36.72 277.76/36.72 cnf(c_347343,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) != subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK8(sK10(sK4,sK3,sK2)) != subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_175720]) ). 277.76/36.72 277.76/36.72 cnf(c_372746,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) != sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) != sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_49]) ). 277.76/36.72 277.76/36.72 cnf(c_170642,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) != sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) != sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_49]) ). 277.76/36.72 277.76/36.72 cnf(c_373356,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) != sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_372746,c_24164,c_158025,c_164227,c_164230,c_165310,c_165314, 277.76/36.72 c_165458,c_170642,c_172961,c_175967,c_235933]) ). 277.76/36.72 277.76/36.72 cnf(c_373357,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) != sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) ), 277.76/36.72 inference(renaming,[status(thm)],[c_373356]) ). 277.76/36.72 277.76/36.72 cnf(c_373680,plain, 277.76/36.72 ( sK8(sK10(sK4,sK3,sK2)) != X0 | X1 != X0 | sK8(sK10(sK4,sK3,sK2)) = X1 ), 277.76/36.72 inference(instantiation,[status(thm)],[c_4777]) ). 277.76/36.72 277.76/36.72 cnf(c_374908,plain, 277.76/36.72 ( sK8(sK10(sK4,sK3,sK2)) != sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | X0 != sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK8(sK10(sK4,sK3,sK2)) = X0 ), 277.76/36.72 inference(instantiation,[status(thm)],[c_373680]) ). 277.76/36.72 277.76/36.72 cnf(c_193853,plain, 277.76/36.72 ( sK8(sK10(sK4,sK3,sK2)) != X0 | X1 != X0 | sK8(sK10(sK4,sK3,sK2)) = X1 ), 277.76/36.72 inference(instantiation,[status(thm)],[c_4777]) ). 277.76/36.72 277.76/36.72 cnf(c_279665,plain, 277.76/36.72 ( sK8(sK10(sK4,sK3,sK2)) != sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | X0 != sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK8(sK10(sK4,sK3,sK2)) = X0 ), 277.76/36.72 inference(instantiation,[status(thm)],[c_193853]) ). 277.76/36.72 277.76/36.72 cnf(c_279666,plain, 277.76/36.72 ( sK8(sK10(sK4,sK3,sK2)) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_4775]) ). 277.76/36.72 277.76/36.72 cnf(c_376400,plain, 277.76/36.72 ( X0 != sK8(sK10(sK4,sK3,sK2)) | sK8(sK10(sK4,sK3,sK2)) = X0 ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_374908,c_279665,c_279666]) ). 277.76/36.72 277.76/36.72 cnf(c_387880,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) != sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK8(sK10(sK4,sK3,sK2)) = subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_376400]) ). 277.76/36.72 277.76/36.72 cnf(c_4780,plain, 277.76/36.72 ( X0 != X1 277.76/36.72 | X2 != X3 277.76/36.72 | subset_complement(X0,X2) = subset_complement(X1,X3) ), 277.76/36.72 theory(equality) ). 277.76/36.72 277.76/36.72 cnf(c_408251,plain, 277.76/36.72 ( sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) != sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | the_carrier(sK2) != the_carrier(sK2) 277.76/36.72 | subset_complement(the_carrier(sK2),sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2)))) = subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_4780]) ). 277.76/36.72 277.76/36.72 cnf(c_573818,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573817,c_6937,c_24164,c_158025,c_164227,c_164230,c_165310, 277.76/36.72 c_165314,c_165458,c_170642,c_172961,c_175967,c_235933, 277.76/36.72 c_236044,c_347343,c_387880,c_408251]) ). 277.76/36.72 277.76/36.72 cnf(c_573819,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(renaming,[status(thm)],[c_573818]) ). 277.76/36.72 277.76/36.72 cnf(c_573832,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573218,c_573819]) ). 277.76/36.72 277.76/36.72 cnf(c_573838,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573832,c_11229,c_560496]) ). 277.76/36.72 277.76/36.72 cnf(c_573842,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573838,c_53]) ). 277.76/36.72 277.76/36.72 cnf(c_573849,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573842,c_165311]) ). 277.76/36.72 277.76/36.72 cnf(c_573855,plain, 277.76/36.72 ( ~ sP1(sK4,sK3,sK2) 277.76/36.72 | ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573849,c_88]) ). 277.76/36.72 277.76/36.72 cnf(c_573881,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573855,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_573938,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573881,c_50]) ). 277.76/36.72 277.76/36.72 cnf(c_573966,plain, 277.76/36.72 ( sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573938,c_165311,c_373730,c_573842]) ). 277.76/36.72 277.76/36.72 cnf(c_573937,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573881,c_51]) ). 277.76/36.72 277.76/36.72 cnf(c_573857,plain, 277.76/36.72 ( ~ sP1(sK4,sK3,sK2) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573849,c_86]) ). 277.76/36.72 277.76/36.72 cnf(c_573880,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573857,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_573955,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573937,c_573880]) ). 277.76/36.72 277.76/36.72 cnf(c_573964,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_573955]) ). 277.76/36.72 277.76/36.72 cnf(c_573965,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573964,c_560496]) ). 277.76/36.72 277.76/36.72 cnf(c_573975,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573965,c_165311,c_573842]) ). 277.76/36.72 277.76/36.72 cnf(c_573980,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573966,c_573975]) ). 277.76/36.72 277.76/36.72 cnf(c_573998,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ sP1(X0,sK3,sK2) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573980,c_87]) ). 277.76/36.72 277.76/36.72 cnf(c_573999,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573998,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_574052,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573849,c_573999]) ). 277.76/36.72 277.76/36.72 cnf(c_61,plain, 277.76/36.72 ( ~ element(X0,powerset(X1)) 277.76/36.72 | element(subset_complement(X1,X0),powerset(X1)) ), 277.76/36.72 inference(cnf_transformation,[],[f115]) ). 277.76/36.72 277.76/36.72 cnf(c_574066,plain, 277.76/36.72 ( ~ element(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),powerset(the_carrier(sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574052,c_61]) ). 277.76/36.72 277.76/36.72 cnf(c_574095,plain, 277.76/36.72 ( sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573123,c_574066]) ). 277.76/36.72 277.76/36.72 cnf(c_573107,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK5(X0) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573103,c_49]) ). 277.76/36.72 277.76/36.72 cnf(c_573111,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_573107,c_573019]) ). 277.76/36.72 277.76/36.72 cnf(c_573112,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK5(X0) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(renaming,[status(thm)],[c_573111]) ). 277.76/36.72 277.76/36.72 cnf(c_574073,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574052,c_573112]) ). 277.76/36.72 277.76/36.72 cnf(c_574077,plain, 277.76/36.72 ( sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK5(X0) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_574073,c_573112,c_573191]) ). 277.76/36.72 277.76/36.72 cnf(c_574078,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(renaming,[status(thm)],[c_574077]) ). 277.76/36.72 277.76/36.72 cnf(c_574088,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_573020,c_574078]) ). 277.76/36.72 277.76/36.72 cnf(c_574100,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_574088]) ). 277.76/36.72 277.76/36.72 cnf(c_574101,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_574100,c_560496]) ). 277.76/36.72 277.76/36.72 cnf(c_574102,plain, 277.76/36.72 ( sK11(sK2,sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_574095,c_572992,c_574101]) ). 277.76/36.72 277.76/36.72 cnf(c_82,plain, 277.76/36.72 ( subset_complement(the_carrier(X0),sK11(X0,X1,X2)) != X2 277.76/36.72 | ~ in(ordered_pair(X1,X2),cartesian_product2(X3,X4)) 277.76/36.72 | ~ sP1(X4,X3,X0) 277.76/36.72 | ~ in(X1,X3) 277.76/36.72 | in(ordered_pair(X1,X2),sK10(X4,X3,X0)) ), 277.76/36.72 inference(cnf_transformation,[],[f171]) ). 277.76/36.72 277.76/36.72 cnf(c_574127,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) != sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),cartesian_product2(X0,X1)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),X0) 277.76/36.72 | ~ sP1(X1,X0,sK2) 277.76/36.72 | in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),sK10(X1,X0,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574102,c_82]) ). 277.76/36.72 277.76/36.72 cnf(c_574138,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(X0,X1)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),X0) 277.76/36.72 | ~ sP1(X1,X0,sK2) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(X1,X0,sK2)) 277.76/36.72 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574102,c_572810]) ). 277.76/36.72 277.76/36.72 cnf(c_574123,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(demodulation,[status(thm)],[c_572846,c_574102]) ). 277.76/36.72 277.76/36.72 cnf(c_574300,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574123,c_53]) ). 277.76/36.72 277.76/36.72 cnf(c_574307,plain, 277.76/36.72 ( sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_574300,c_165311]) ). 277.76/36.72 277.76/36.72 cnf(c_574315,plain, 277.76/36.72 ( ~ sP1(sK4,sK3,sK2) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574307,c_86]) ). 277.76/36.72 277.76/36.72 cnf(c_574338,plain, 277.76/36.72 ( sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_574315,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_574403,plain, 277.76/36.72 ( ~ in(sK3,sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574338,c_72]) ). 277.76/36.72 277.76/36.72 cnf(c_574313,plain, 277.76/36.72 ( ~ sP1(sK4,sK3,sK2) 277.76/36.72 | ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574307,c_88]) ). 277.76/36.72 277.76/36.72 cnf(c_574339,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_574313,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_574418,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574339,c_50]) ). 277.76/36.72 277.76/36.72 cnf(c_574446,plain, 277.76/36.72 ( sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_574418,c_165311,c_373730,c_574334]) ). 277.76/36.72 277.76/36.72 cnf(c_574451,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK5(X0) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574446,c_49]) ). 277.76/36.72 277.76/36.72 cnf(c_574527,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_574451,c_574052,c_574338]) ). 277.76/36.72 277.76/36.72 cnf(c_574537,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574339,c_574527]) ). 277.76/36.72 277.76/36.72 cnf(c_574546,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_574537]) ). 277.76/36.72 277.76/36.72 cnf(c_574547,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_574546,c_560496]) ). 277.76/36.72 277.76/36.72 cnf(c_574587,plain, 277.76/36.72 ( sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_574403,c_574307,c_574547]) ). 277.76/36.72 277.76/36.72 cnf(c_574593,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574587,c_561422]) ). 277.76/36.72 277.76/36.72 cnf(c_236043,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_235997]) ). 277.76/36.72 277.76/36.72 cnf(c_236044,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_236043,c_204502]) ). 277.76/36.72 277.76/36.72 cnf(c_574594,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_574593,c_6937,c_24164,c_158025,c_164227,c_164230,c_165310, 277.76/36.72 c_165314,c_165458,c_170642,c_170641,c_172961,c_175967, 277.76/36.72 c_235933,c_347343,c_387880,c_408251]) ). 277.76/36.72 277.76/36.72 cnf(c_574595,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(renaming,[status(thm)],[c_574594]) ). 277.76/36.72 277.76/36.72 cnf(c_574604,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574138,c_574595]) ). 277.76/36.72 277.76/36.72 cnf(c_574612,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | element(sK7(sK10(sK4,sK3,sK2)),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_574604,c_11229,c_560496]) ). 277.76/36.72 277.76/36.72 cnf(c_60,plain, 277.76/36.72 ( ~ element(X0,powerset(X1)) 277.76/36.72 | subset_complement(X1,subset_complement(X1,X0)) = X0 ), 277.76/36.72 inference(cnf_transformation,[],[f114]) ). 277.76/36.72 277.76/36.72 cnf(c_574622,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | subset_complement(the_carrier(sK2),subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2)))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574612,c_60]) ). 277.76/36.72 277.76/36.72 cnf(c_574666,plain, 277.76/36.72 ( ~ sP1(sK4,sK3,sK2) 277.76/36.72 | ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2)))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_560395,c_574622]) ). 277.76/36.72 277.76/36.72 cnf(c_574676,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2)))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_574666,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_574616,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574612,c_53]) ). 277.76/36.72 277.76/36.72 cnf(c_574623,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_574616,c_165311]) ). 277.76/36.72 277.76/36.72 cnf(c_574628,plain, 277.76/36.72 ( ~ sP1(sK4,sK3,sK2) 277.76/36.72 | ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574623,c_88]) ). 277.76/36.72 277.76/36.72 cnf(c_574655,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_574628,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_574983,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574655,c_50]) ). 277.76/36.72 277.76/36.72 cnf(c_575011,plain, 277.76/36.72 ( sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_574983,c_373730,c_574623]) ). 277.76/36.72 277.76/36.72 cnf(c_575015,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK5(X0) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_575011,c_49]) ). 277.76/36.72 277.76/36.72 cnf(c_574630,plain, 277.76/36.72 ( ~ sP1(sK4,sK3,sK2) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574623,c_86]) ). 277.76/36.72 277.76/36.72 cnf(c_574654,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_574630,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_575019,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_575015,c_574052,c_574654]) ). 277.76/36.72 277.76/36.72 cnf(c_575055,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | subset_complement(the_carrier(sK2),subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2)))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574676,c_575019]) ). 277.76/36.72 277.76/36.72 cnf(c_575028,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_574655,c_575019]) ). 277.76/36.72 277.76/36.72 cnf(c_575037,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_575028]) ). 277.76/36.72 277.76/36.72 cnf(c_575038,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_575037,c_560496]) ). 277.76/36.72 277.76/36.72 cnf(c_575192,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) = sK8(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_575055,c_574623,c_575038]) ). 277.76/36.72 277.76/36.72 cnf(c_575239,plain, 277.76/36.72 ( ~ in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),cartesian_product2(X0,X1)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),X0) 277.76/36.72 | ~ sP1(X1,X0,sK2) 277.76/36.72 | in(ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))),sK10(X1,X0,sK2)) ), 277.76/36.72 inference(backward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_574127,c_575192]) ). 277.76/36.72 277.76/36.72 cnf(c_575656,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(X0,X1)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),X0) 277.76/36.72 | ~ sP1(X1,X0,sK2) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(X1,X0,sK2)) ), 277.76/36.72 inference(light_normalisation,[status(thm)],[c_575239,c_561410]) ). 277.76/36.72 277.76/36.72 cnf(c_575684,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_575656,c_561429]) ). 277.76/36.72 277.76/36.72 cnf(c_575686,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_575684,c_11229,c_560496]) ). 277.76/36.72 277.76/36.72 cnf(c_575704,plain, 277.76/36.72 ( sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_52,c_575686]) ). 277.76/36.72 277.76/36.72 cnf(c_575705,plain, 277.76/36.72 ( ~ sP1(sK4,sK3,sK2) 277.76/36.72 | ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_560395,c_575686]) ). 277.76/36.72 277.76/36.72 cnf(c_575716,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK5(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_575705,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_575927,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_575716,c_50]) ). 277.76/36.72 277.76/36.72 cnf(c_575664,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(X0,X1)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),X0) 277.76/36.72 | ~ sP1(X1,X0,sK2) 277.76/36.72 | in(sK13(X0,sK2,sK5(sK10(sK4,sK3,sK2))),X0) ), 277.76/36.72 inference(superposition,[status(thm)],[c_575656,c_86]) ). 277.76/36.72 277.76/36.72 cnf(c_575770,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) 277.76/36.72 | in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) ), 277.76/36.72 inference(superposition,[status(thm)],[c_560496,c_575664]) ). 277.76/36.72 277.76/36.72 cnf(c_575771,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_575770,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_575860,plain, 277.76/36.72 ( in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_575771,c_165311,c_175768,c_175967]) ). 277.76/36.72 277.76/36.72 cnf(c_575934,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_575927,c_575860]) ). 277.76/36.72 277.76/36.72 cnf(c_576063,plain, 277.76/36.72 ( sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_575934,c_373730,c_575704]) ). 277.76/36.72 277.76/36.72 cnf(c_575926,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_575716,c_51]) ). 277.76/36.72 277.76/36.72 cnf(c_575935,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_575926,c_575860]) ). 277.76/36.72 277.76/36.72 cnf(c_576061,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_575935]) ). 277.76/36.72 277.76/36.72 cnf(c_576062,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_576061,c_560496]) ). 277.76/36.72 277.76/36.72 cnf(c_577899,plain, 277.76/36.72 ( sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_576062,c_575704]) ). 277.76/36.72 277.76/36.72 cnf(c_577903,plain, 277.76/36.72 ( sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | element(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_576063,c_577899]) ). 277.76/36.72 277.76/36.72 cnf(c_577918,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ sP1(X0,sK3,sK2) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_577903,c_87]) ). 277.76/36.72 277.76/36.72 cnf(c_577919,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_577918,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_577931,plain, 277.76/36.72 ( sK6(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) = sK7(sK10(sK4,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_575704,c_577919]) ). 277.76/36.72 277.76/36.72 cnf(c_577941,plain, 277.76/36.72 ( ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) != sK5(X0) 277.76/36.72 | subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) != sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_577931,c_49]) ). 277.76/36.72 277.76/36.72 cnf(c_577946,plain, 277.76/36.72 ( ordered_pair(sK7(sK10(sK4,sK3,sK2)),sK8(sK10(sK4,sK3,sK2))) != sK5(X0) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_577941,c_575192]) ). 277.76/36.72 277.76/36.72 cnf(c_577948,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(light_normalisation,[status(thm)],[c_577946,c_561410]) ). 277.76/36.72 277.76/36.72 cnf(c_577954,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_577948]) ). 277.76/36.72 277.76/36.72 cnf(c_577955,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_577954,c_560496]) ). 277.76/36.72 277.76/36.72 cnf(c_295848,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) != sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK8(sK10(sK4,sK3,sK2)) != sK8(sK10(sK4,sK3,sK2)) 277.76/36.72 | sK8(sK10(sK4,sK3,sK2)) = subset_complement(the_carrier(sK2),sK7(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(instantiation,[status(thm)],[c_279665]) ). 277.76/36.72 277.76/36.72 cnf(c_578090,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_577955,c_6937,c_24164,c_158025,c_164227,c_164230,c_165310, 277.76/36.72 c_165314,c_165458,c_170642,c_172961,c_175967,c_235933, 277.76/36.72 c_279666,c_295848,c_347343,c_408251,c_574623,c_575038, 277.76/36.72 c_575686]) ). 277.76/36.72 277.76/36.72 cnf(c_578091,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) ), 277.76/36.72 inference(renaming,[status(thm)],[c_578090]) ). 277.76/36.72 277.76/36.72 cnf(c_578102,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) 277.76/36.72 | ~ sP1(sK4,sK3,sK2) ), 277.76/36.72 inference(superposition,[status(thm)],[c_575656,c_578091]) ). 277.76/36.72 277.76/36.72 cnf(c_578108,plain, 277.76/36.72 ( ~ in(sK7(sK10(sK4,sK3,sK2)),sK3) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_578102,c_11229,c_560496]) ). 277.76/36.72 277.76/36.72 cnf(c_578110,plain, 277.76/36.72 ( ~ sP1(sK4,sK3,sK2) 277.76/36.72 | ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_560395,c_578108]) ). 277.76/36.72 277.76/36.72 cnf(c_578120,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK5(sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_578110,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_578242,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_578120,c_50]) ). 277.76/36.72 277.76/36.72 cnf(c_578249,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_578242,c_575860]) ). 277.76/36.72 277.76/36.72 cnf(c_578279,plain, 277.76/36.72 ( sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(global_propositional_subsumption, 277.76/36.72 [status(thm)], 277.76/36.72 [c_578249,c_165311,c_373730,c_578108]) ). 277.76/36.72 277.76/36.72 cnf(c_578282,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK5(X0) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) ), 277.76/36.72 inference(superposition,[status(thm)],[c_578279,c_49]) ). 277.76/36.72 277.76/36.72 cnf(c_578285,plain, 277.76/36.72 ( ordered_pair(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK5(X0) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_578282,c_575860]) ). 277.76/36.72 277.76/36.72 cnf(c_578287,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) != sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) 277.76/36.72 | sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) ), 277.76/36.72 inference(light_normalisation,[status(thm)],[c_578285,c_578120]) ). 277.76/36.72 277.76/36.72 cnf(c_578109,plain, 277.76/36.72 ( in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) ), 277.76/36.72 inference(superposition,[status(thm)],[c_52,c_578108]) ). 277.76/36.72 277.76/36.72 cnf(c_578241,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK3) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_578120,c_51]) ). 277.76/36.72 277.76/36.72 cnf(c_578250,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_578241,c_575860]) ). 277.76/36.72 277.76/36.72 cnf(c_578265,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) 277.76/36.72 | element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_578250]) ). 277.76/36.72 277.76/36.72 cnf(c_578266,plain, 277.76/36.72 ( element(sK6(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_578265,c_560496,c_578109]) ). 277.76/36.72 277.76/36.72 cnf(c_578281,plain, 277.76/36.72 ( element(sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2))),powerset(the_carrier(sK2))) ), 277.76/36.72 inference(demodulation,[status(thm)],[c_578266,c_578279]) ). 277.76/36.72 277.76/36.72 cnf(c_578298,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | ~ sP1(X0,sK3,sK2) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_578281,c_87]) ). 277.76/36.72 277.76/36.72 cnf(c_578299,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(X0,sK3,sK2)) 277.76/36.72 | subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_578298,c_11229]) ). 277.76/36.72 277.76/36.72 cnf(c_578313,plain, 277.76/36.72 ( subset_complement(the_carrier(sK2),sK13(sK3,sK2,sK5(sK10(sK4,sK3,sK2)))) = sK14(sK3,sK2,sK5(sK10(sK4,sK3,sK2))) ), 277.76/36.72 inference(superposition,[status(thm)],[c_578109,c_578299]) ). 277.76/36.72 277.76/36.72 cnf(c_578319,plain, 277.76/36.72 ( sK5(sK10(sK4,sK3,sK2)) != sK5(X0) 277.76/36.72 | ~ in(sK5(X0),cartesian_product2(sK3,sK4)) 277.76/36.72 | ~ in(sK5(X0),X0) ), 277.76/36.72 inference(backward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_578287,c_578313]) ). 277.76/36.72 277.76/36.72 cnf(c_578412,plain, 277.76/36.72 ( ~ in(sK5(sK10(sK4,sK3,sK2)),sK10(sK4,sK3,sK2)) 277.76/36.72 | ~ in(sK5(sK10(sK4,sK3,sK2)),cartesian_product2(sK3,sK4)) ), 277.76/36.72 inference(equality_resolution,[status(thm)],[c_578319]) ). 277.76/36.72 277.76/36.72 cnf(c_578413,plain, 277.76/36.72 ( $false ), 277.76/36.72 inference(forward_subsumption_resolution, 277.76/36.72 [status(thm)], 277.76/36.72 [c_578412,c_560496,c_578109]) ). 277.76/36.72 277.76/36.72 277.76/36.72 % SZS output end CNFRefutation for theBenchmark.p 277.76/36.72 277.76/36.72 ------ Statistics 277.76/36.72 277.76/36.72 ------ Selected 277.76/36.72 277.76/36.72 total_time: 31.353 277.76/36.72 277.78/36.74 EOF