TSTP Solution File: LCL948_10 by iProver-SAT---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver-SAT---3.9
% Problem : LCL948_10 : TPTP v8.2.0. Released v8.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d SAT
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 11:12:16 EDT 2024
% Result : CounterSatisfiable 87.45s 11.50s
% Output : Model 87.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : LCL948_10 : TPTP v8.2.0. Released v8.2.0.
% 0.05/0.09 % Command : run_iprover %s %d SAT
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Sat Jun 22 13:19:54 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.14/0.38 Running model finding
% 0.14/0.38 Running: /export/starexec/sandbox2/solver/bin/run_problem --no_cores 8 --heuristic_context fnt --schedule fnt_schedule /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 87.45/11.50 % SZS status Started for theBenchmark.p
% 87.45/11.50 % SZS status Satisfiable for theBenchmark.p
% 87.45/11.50
% 87.45/11.50 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 87.45/11.50
% 87.45/11.50 ------ iProver source info
% 87.45/11.50
% 87.45/11.50 git: date: 2024-06-12 09:56:46 +0000
% 87.45/11.50 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 87.45/11.50 git: non_committed_changes: false
% 87.45/11.50
% 87.45/11.50 ------ Parsing...
% 87.45/11.50 ------ Clausification by vclausify_rel & Parsing by iProver...------ preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 87.45/11.50
% 87.45/11.50 ------ Proving...
% 87.45/11.50 ------ Problem Properties
% 87.45/11.50
% 87.45/11.50
% 87.45/11.50 clauses 144
% 87.45/11.50 conjectures 4
% 87.45/11.50 EPR 10
% 87.45/11.50 Horn 60
% 87.45/11.50 unary 6
% 87.45/11.50 binary 0
% 87.45/11.50 lits 1237
% 87.45/11.50 lits eq 0
% 87.45/11.50 fd_pure 0
% 87.45/11.50 fd_pseudo 0
% 87.45/11.50 fd_cond 0
% 87.45/11.50 fd_pseudo_cond 0
% 87.45/11.50 AC symbols 0
% 87.45/11.50
% 87.45/11.50 ------ Schedule dynamic 5 is on
% 87.45/11.50
% 87.45/11.50 ------ no equalities: superposition off
% 87.45/11.50
% 87.45/11.50 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 87.45/11.50
% 87.45/11.50
% 87.45/11.50 ------
% 87.45/11.50 Current options:
% 87.45/11.50 ------
% 87.45/11.50
% 87.45/11.50 ------ Input Options
% 87.45/11.50
% 87.45/11.50 --out_options all
% 87.45/11.50 --tptp_safe_out true
% 87.45/11.50 --problem_path ""
% 87.45/11.50 --include_path ""
% 87.45/11.50 --clausifier res/vclausify_rel
% 87.45/11.50 --clausifier_options --mode tclausify --show_fool true -t 305.00 -updr off
% 87.45/11.50 --stdin false
% 87.45/11.50 --proof_out true
% 87.45/11.50 --proof_dot_file ""
% 87.45/11.50 --proof_reduce_dot []
% 87.45/11.50 --suppress_sat_res false
% 87.45/11.50 --suppress_unsat_res true
% 87.45/11.50 --stats_out none
% 87.45/11.50 --stats_mem false
% 87.45/11.50 --theory_stats_out false
% 87.45/11.50
% 87.45/11.50 ------ General Options
% 87.45/11.50
% 87.45/11.50 --fof false
% 87.45/11.50 --time_out_real 305.
% 87.45/11.50 --time_out_virtual -1.
% 87.45/11.50 --rnd_seed 13
% 87.45/11.50 --symbol_type_check false
% 87.45/11.50 --clausify_out false
% 87.45/11.50 --sig_cnt_out false
% 87.45/11.50 --trig_cnt_out false
% 87.45/11.50 --trig_cnt_out_tolerance 1.
% 87.45/11.50 --trig_cnt_out_sk_spl false
% 87.45/11.50 --abstr_cl_out false
% 87.45/11.50
% 87.45/11.50 ------ Interactive Mode
% 87.45/11.50
% 87.45/11.50 --interactive_mode false
% 87.45/11.50 --external_ip_address ""
% 87.45/11.50 --external_port 0
% 87.45/11.50
% 87.45/11.50 ------ Global Options
% 87.45/11.50
% 87.45/11.50 --schedule default
% 87.45/11.50 --add_important_lit false
% 87.45/11.50 --prop_solver_per_cl 500
% 87.45/11.50 --subs_bck_mult 8
% 87.45/11.50 --min_unsat_core false
% 87.45/11.50 --soft_assumptions false
% 87.45/11.50 --soft_lemma_size 3
% 87.45/11.50 --prop_impl_unit_size 0
% 87.45/11.50 --prop_impl_unit []
% 87.45/11.50 --share_sel_clauses true
% 87.45/11.50 --reset_solvers false
% 87.45/11.50 --bc_imp_inh [conj_cone]
% 87.45/11.50 --conj_cone_tolerance 3.
% 87.45/11.50 --extra_neg_conj none
% 87.45/11.50 --large_theory_mode true
% 87.45/11.50 --prolific_symb_bound 200
% 87.45/11.50 --lt_threshold 2000
% 87.45/11.50 --clause_weak_htbl true
% 87.45/11.50 --gc_record_bc_elim false
% 87.45/11.50
% 87.45/11.50 ------ Preprocessing Options
% 87.45/11.50
% 87.45/11.50 --preprocessing_flag false
% 87.45/11.50 --time_out_prep_mult 0.1
% 87.45/11.50 --splitting_mode input
% 87.45/11.50 --splitting_grd true
% 87.45/11.50 --splitting_cvd false
% 87.45/11.50 --splitting_cvd_svl false
% 87.45/11.50 --splitting_nvd 32
% 87.45/11.50 --sub_typing false
% 87.45/11.50 --prep_eq_flat_conj true
% 87.45/11.50 --prep_eq_flat_all_gr false
% 87.45/11.50 --prep_gs_sim true
% 87.45/11.50 --prep_unflatten true
% 87.45/11.50 --prep_res_sim true
% 87.45/11.50 --prep_sup_sim_all true
% 87.45/11.50 --prep_sup_sim_sup false
% 87.45/11.50 --prep_upred true
% 87.45/11.50 --prep_well_definedness true
% 87.45/11.50 --prep_sem_filter exhaustive
% 87.45/11.50 --prep_sem_filter_out false
% 87.45/11.50 --pred_elim true
% 87.45/11.50 --res_sim_input true
% 87.45/11.50 --eq_ax_congr_red true
% 87.45/11.50 --pure_diseq_elim true
% 87.45/11.50 --brand_transform false
% 87.45/11.50 --non_eq_to_eq false
% 87.45/11.50 --prep_def_merge true
% 87.45/11.50 --prep_def_merge_prop_impl false
% 87.45/11.50 --prep_def_merge_mbd true
% 87.45/11.50 --prep_def_merge_tr_red false
% 87.45/11.50 --prep_def_merge_tr_cl false
% 87.45/11.50 --smt_preprocessing false
% 87.45/11.50 --smt_ac_axioms fast
% 87.45/11.50 --preprocessed_out false
% 87.45/11.50 --preprocessed_stats false
% 87.45/11.50
% 87.45/11.50 ------ Abstraction refinement Options
% 87.45/11.50
% 87.45/11.50 --abstr_ref []
% 87.45/11.50 --abstr_ref_prep false
% 87.45/11.50 --abstr_ref_until_sat false
% 87.45/11.50 --abstr_ref_sig_restrict funpre
% 87.45/11.50 --abstr_ref_af_restrict_to_split_sk false
% 87.45/11.50 --abstr_ref_under []
% 87.45/11.50
% 87.45/11.50 ------ SAT Options
% 87.45/11.50
% 87.45/11.50 --sat_mode false
% 87.45/11.50 --sat_fm_restart_options ""
% 87.45/11.50 --sat_gr_def false
% 87.45/11.50 --sat_epr_types true
% 87.45/11.50 --sat_non_cyclic_types false
% 87.45/11.50 --sat_finite_models false
% 87.45/11.50 --sat_fm_lemmas false
% 87.45/11.50 --sat_fm_prep false
% 87.45/11.50 --sat_fm_uc_incr true
% 87.45/11.50 --sat_out_model pos
% 87.45/11.50 --sat_out_clauses false
% 87.45/11.50
% 87.45/11.50 ------ QBF Options
% 87.45/11.50
% 87.45/11.50 --qbf_mode false
% 87.45/11.50 --qbf_elim_univ false
% 87.45/11.50 --qbf_dom_inst none
% 87.45/11.50 --qbf_dom_pre_inst false
% 87.45/11.50 --qbf_sk_in false
% 87.45/11.50 --qbf_pred_elim true
% 87.45/11.50 --qbf_split 512
% 87.45/11.50
% 87.45/11.50 ------ BMC1 Options
% 87.45/11.50
% 87.45/11.50 --bmc1_incremental false
% 87.45/11.50 --bmc1_axioms reachable_all
% 87.45/11.50 --bmc1_min_bound 0
% 87.45/11.50 --bmc1_max_bound -1
% 87.45/11.50 --bmc1_max_bound_default -1
% 87.45/11.50 --bmc1_symbol_reachability true
% 87.45/11.50 --bmc1_property_lemmas false
% 87.45/11.50 --bmc1_k_induction false
% 87.45/11.50 --bmc1_non_equiv_states false
% 87.45/11.50 --bmc1_deadlock false
% 87.45/11.50 --bmc1_ucm false
% 87.45/11.50 --bmc1_add_unsat_core none
% 87.45/11.50 --bmc1_unsat_core_children false
% 87.45/11.50 --bmc1_unsat_core_extrapolate_axioms false
% 87.45/11.50 --bmc1_out_stat full
% 87.45/11.50 --bmc1_ground_init false
% 87.45/11.50 --bmc1_pre_inst_next_state false
% 87.45/11.50 --bmc1_pre_inst_state false
% 87.45/11.50 --bmc1_pre_inst_reach_state false
% 87.45/11.50 --bmc1_out_unsat_core false
% 87.45/11.50 --bmc1_aig_witness_out false
% 87.45/11.50 --bmc1_verbose false
% 87.45/11.50 --bmc1_dump_clauses_tptp false
% 87.45/11.50 --bmc1_dump_unsat_core_tptp false
% 87.45/11.50 --bmc1_dump_file -
% 87.45/11.50 --bmc1_ucm_expand_uc_limit 128
% 87.45/11.50 --bmc1_ucm_n_expand_iterations 6
% 87.45/11.50 --bmc1_ucm_extend_mode 1
% 87.45/11.50 --bmc1_ucm_init_mode 2
% 87.45/11.50 --bmc1_ucm_cone_mode none
% 87.45/11.50 --bmc1_ucm_reduced_relation_type 0
% 87.45/11.50 --bmc1_ucm_relax_model 4
% 87.45/11.50 --bmc1_ucm_full_tr_after_sat true
% 87.45/11.50 --bmc1_ucm_expand_neg_assumptions false
% 87.45/11.50 --bmc1_ucm_layered_model none
% 87.45/11.50 --bmc1_ucm_max_lemma_size 10
% 87.45/11.50
% 87.45/11.50 ------ AIG Options
% 87.45/11.50
% 87.45/11.50 --aig_mode false
% 87.45/11.50
% 87.45/11.50 ------ Instantiation Options
% 87.45/11.50
% 87.45/11.50 --instantiation_flag true
% 87.45/11.50 --inst_sos_flag false
% 87.45/11.50 --inst_sos_phase true
% 87.45/11.50 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 87.45/11.50 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 87.45/11.50 --inst_lit_sel_side none
% 87.45/11.50 --inst_solver_per_active 1400
% 87.45/11.50 --inst_solver_calls_frac 1.
% 87.45/11.50 --inst_to_smt_solver true
% 87.45/11.50 --inst_passive_queue_type priority_queues
% 87.45/11.50 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 87.45/11.50 --inst_passive_queues_freq [25;2]
% 87.45/11.50 --inst_dismatching true
% 87.45/11.50 --inst_eager_unprocessed_to_passive true
% 87.45/11.50 --inst_unprocessed_bound 1000
% 87.45/11.50 --inst_prop_sim_given true
% 87.45/11.50 --inst_prop_sim_new false
% 87.45/11.50 --inst_subs_new false
% 87.45/11.50 --inst_eq_res_simp false
% 87.45/11.50 --inst_subs_given false
% 87.45/11.50 --inst_orphan_elimination true
% 87.45/11.50 --inst_learning_loop_flag true
% 87.45/11.50 --inst_learning_start 3000
% 87.45/11.50 --inst_learning_factor 2
% 87.45/11.50 --inst_start_prop_sim_after_learn 3
% 87.45/11.50 --inst_sel_renew solver
% 87.45/11.50 --inst_lit_activity_flag true
% 87.45/11.50 --inst_restr_to_given false
% 87.45/11.50 --inst_activity_threshold 500
% 87.45/11.50
% 87.45/11.50 ------ Resolution Options
% 87.45/11.50
% 87.45/11.50 --resolution_flag false
% 87.45/11.50 --res_lit_sel adaptive
% 87.45/11.50 --res_lit_sel_side none
% 87.45/11.50 --res_ordering kbo
% 87.45/11.50 --res_to_prop_solver active
% 87.45/11.50 --res_prop_simpl_new false
% 87.45/11.50 --res_prop_simpl_given true
% 87.45/11.50 --res_to_smt_solver true
% 87.45/11.50 --res_passive_queue_type priority_queues
% 87.45/11.50 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 87.45/11.50 --res_passive_queues_freq [15;5]
% 87.45/11.50 --res_forward_subs full
% 87.45/11.50 --res_backward_subs full
% 87.45/11.50 --res_forward_subs_resolution true
% 87.45/11.50 --res_backward_subs_resolution true
% 87.45/11.50 --res_orphan_elimination true
% 87.45/11.50 --res_time_limit 300.
% 87.45/11.50
% 87.45/11.50 ------ Superposition Options
% 87.45/11.50
% 87.45/11.50 --superposition_flag true
% 87.45/11.50 --sup_passive_queue_type priority_queues
% 87.45/11.50 --sup_passive_queues [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]]
% 87.45/11.50 --sup_passive_queues_freq [8;1;4;4]
% 87.45/11.50 --demod_completeness_check fast
% 87.45/11.50 --demod_use_ground true
% 87.45/11.50 --sup_unprocessed_bound 0
% 87.45/11.50 --sup_to_prop_solver passive
% 87.45/11.50 --sup_prop_simpl_new true
% 87.45/11.50 --sup_prop_simpl_given true
% 87.45/11.50 --sup_fun_splitting false
% 87.45/11.50 --sup_iter_deepening 2
% 87.45/11.50 --sup_restarts_mult 12
% 87.45/11.50 --sup_score sim_d_gen
% 87.45/11.50 --sup_share_score_frac 0.2
% 87.45/11.50 --sup_share_max_num_cl 500
% 87.45/11.50 --sup_ordering kbo
% 87.45/11.50 --sup_symb_ordering invfreq
% 87.45/11.50 --sup_term_weight default
% 87.45/11.50
% 87.45/11.50 ------ Superposition Simplification Setup
% 87.45/11.50
% 87.45/11.50 --sup_indices_passive [LightNormIndex;FwDemodIndex]
% 87.45/11.50 --sup_full_triv [SMTSimplify;PropSubs]
% 87.45/11.50 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 87.45/11.50 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 87.45/11.50 --sup_immed_triv []
% 87.45/11.50 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 87.45/11.50 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes]
% 87.45/11.50 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod]
% 87.45/11.50 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 87.45/11.50 --sup_input_triv [Unflattening;SMTSimplify]
% 87.45/11.50 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 87.45/11.50 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 87.45/11.50 --sup_full_fixpoint true
% 87.45/11.50 --sup_main_fixpoint true
% 87.45/11.50 --sup_immed_fixpoint false
% 87.45/11.50 --sup_input_fixpoint true
% 87.45/11.50 --sup_cache_sim none
% 87.45/11.50 --sup_smt_interval 500
% 87.45/11.50 --sup_bw_gjoin_interval 0
% 87.45/11.50
% 87.45/11.50 ------ Combination Options
% 87.45/11.50
% 87.45/11.50 --comb_mode clause_based
% 87.45/11.50 --comb_inst_mult 5
% 87.45/11.50 --comb_res_mult 1
% 87.45/11.50 --comb_sup_mult 1
% 87.45/11.50 --comb_sup_deep_mult 1
% 87.45/11.50
% 87.45/11.50 ------ Debug Options
% 87.45/11.50
% 87.45/11.50 --dbg_backtrace false
% 87.45/11.50 --dbg_dump_prop_clauses false
% 87.45/11.50 --dbg_dump_prop_clauses_file -
% 87.45/11.50 --dbg_out_stat false
% 87.45/11.50 --dbg_just_parse false
% 87.45/11.50
% 87.45/11.50
% 87.45/11.50
% 87.45/11.50
% 87.45/11.50 ------ Proving...
% 87.45/11.50 Proof_search_loop: time out after: 7699 full_loop iterations
% 87.45/11.50
% 87.45/11.50 ------ Input Options"1. --res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 87.45/11.50
% 87.45/11.50
% 87.45/11.50 ------
% 87.45/11.50 Current options:
% 87.45/11.50 ------
% 87.45/11.50
% 87.45/11.50 ------ Input Options
% 87.45/11.50
% 87.45/11.50 --out_options all
% 87.45/11.50 --tptp_safe_out true
% 87.45/11.50 --problem_path ""
% 87.45/11.50 --include_path ""
% 87.45/11.50 --clausifier res/vclausify_rel
% 87.45/11.50 --clausifier_options --mode tclausify --show_fool true -t 305.00 -updr off
% 87.45/11.50 --stdin false
% 87.45/11.50 --proof_out true
% 87.45/11.50 --proof_dot_file ""
% 87.45/11.50 --proof_reduce_dot []
% 87.45/11.50 --suppress_sat_res false
% 87.45/11.50 --suppress_unsat_res true
% 87.45/11.50 --stats_out none
% 87.45/11.50 --stats_mem false
% 87.45/11.50 --theory_stats_out false
% 87.45/11.50
% 87.45/11.50 ------ General Options
% 87.45/11.50
% 87.45/11.50 --fof false
% 87.45/11.50 --time_out_real 305.
% 87.45/11.50 --time_out_virtual -1.
% 87.45/11.50 --rnd_seed 13
% 87.45/11.50 --symbol_type_check false
% 87.45/11.50 --clausify_out false
% 87.45/11.50 --sig_cnt_out false
% 87.45/11.50 --trig_cnt_out false
% 87.45/11.50 --trig_cnt_out_tolerance 1.
% 87.45/11.50 --trig_cnt_out_sk_spl false
% 87.45/11.50 --abstr_cl_out false
% 87.45/11.50
% 87.45/11.50 ------ Interactive Mode
% 87.45/11.50
% 87.45/11.50 --interactive_mode false
% 87.45/11.50 --external_ip_address ""
% 87.45/11.50 --external_port 0
% 87.45/11.50
% 87.45/11.50 ------ Global Options
% 87.45/11.50
% 87.45/11.50 --schedule default
% 87.45/11.50 --add_important_lit false
% 87.45/11.50 --prop_solver_per_cl 500
% 87.45/11.50 --subs_bck_mult 8
% 87.45/11.50 --min_unsat_core false
% 87.45/11.50 --soft_assumptions false
% 87.45/11.50 --soft_lemma_size 3
% 87.45/11.50 --prop_impl_unit_size 0
% 87.45/11.50 --prop_impl_unit []
% 87.45/11.50 --share_sel_clauses true
% 87.45/11.50 --reset_solvers false
% 87.45/11.50 --bc_imp_inh [conj_cone]
% 87.45/11.50 --conj_cone_tolerance 3.
% 87.45/11.50 --extra_neg_conj none
% 87.45/11.50 --large_theory_mode true
% 87.45/11.50 --prolific_symb_bound 200
% 87.45/11.50 --lt_threshold 2000
% 87.45/11.50 --clause_weak_htbl true
% 87.45/11.50 --gc_record_bc_elim false
% 87.45/11.50
% 87.45/11.50 ------ Preprocessing Options
% 87.45/11.50
% 87.45/11.50 --preprocessing_flag false
% 87.45/11.50 --time_out_prep_mult 0.1
% 87.45/11.50 --splitting_mode input
% 87.45/11.50 --splitting_grd true
% 87.45/11.50 --splitting_cvd false
% 87.45/11.50 --splitting_cvd_svl false
% 87.45/11.50 --splitting_nvd 32
% 87.45/11.50 --sub_typing false
% 87.45/11.50 --prep_eq_flat_conj true
% 87.45/11.50 --prep_eq_flat_all_gr false
% 87.45/11.50 --prep_gs_sim true
% 87.45/11.50 --prep_unflatten true
% 87.45/11.50 --prep_res_sim true
% 87.45/11.50 --prep_sup_sim_all true
% 87.45/11.50 --prep_sup_sim_sup false
% 87.45/11.50 --prep_upred true
% 87.45/11.50 --prep_well_definedness true
% 87.45/11.50 --prep_sem_filter exhaustive
% 87.45/11.50 --prep_sem_filter_out false
% 87.45/11.50 --pred_elim true
% 87.45/11.50 --res_sim_input true
% 87.45/11.50 --eq_ax_congr_red true
% 87.45/11.50 --pure_diseq_elim true
% 87.45/11.50 --brand_transform false
% 87.45/11.50 --non_eq_to_eq false
% 87.45/11.50 --prep_def_merge true
% 87.45/11.50 --prep_def_merge_prop_impl false
% 87.45/11.50 --prep_def_merge_mbd true
% 87.45/11.50 --prep_def_merge_tr_red false
% 87.45/11.50 --prep_def_merge_tr_cl false
% 87.45/11.50 --smt_preprocessing false
% 87.45/11.50 --smt_ac_axioms fast
% 87.45/11.50 --preprocessed_out false
% 87.45/11.50 --preprocessed_stats false
% 87.45/11.50
% 87.45/11.50 ------ Abstraction refinement Options
% 87.45/11.50
% 87.45/11.50 --abstr_ref []
% 87.45/11.50 --abstr_ref_prep false
% 87.45/11.50 --abstr_ref_until_sat false
% 87.45/11.50 --abstr_ref_sig_restrict funpre
% 87.45/11.50 --abstr_ref_af_restrict_to_split_sk false
% 87.45/11.50 --abstr_ref_under []
% 87.45/11.50
% 87.45/11.50 ------ SAT Options
% 87.45/11.50
% 87.45/11.50 --sat_mode false
% 87.45/11.50 --sat_fm_restart_options ""
% 87.45/11.50 --sat_gr_def false
% 87.45/11.50 --sat_epr_types true
% 87.45/11.50 --sat_non_cyclic_types false
% 87.45/11.50 --sat_finite_models false
% 87.45/11.50 --sat_fm_lemmas false
% 87.45/11.50 --sat_fm_prep false
% 87.45/11.50 --sat_fm_uc_incr true
% 87.45/11.50 --sat_out_model pos
% 87.45/11.50 --sat_out_clauses false
% 87.45/11.50
% 87.45/11.50 ------ QBF Options
% 87.45/11.50
% 87.45/11.50 --qbf_mode false
% 87.45/11.50 --qbf_elim_univ false
% 87.45/11.50 --qbf_dom_inst none
% 87.45/11.50 --qbf_dom_pre_inst false
% 87.45/11.50 --qbf_sk_in false
% 87.45/11.50 --qbf_pred_elim true
% 87.45/11.50 --qbf_split 512
% 87.45/11.50
% 87.45/11.50 ------ BMC1 Options
% 87.45/11.50
% 87.45/11.50 --bmc1_incremental false
% 87.45/11.50 --bmc1_axioms reachable_all
% 87.45/11.50 --bmc1_min_bound 0
% 87.45/11.50 --bmc1_max_bound -1
% 87.45/11.50 --bmc1_max_bound_default -1
% 87.45/11.50 --bmc1_symbol_reachability true
% 87.45/11.50 --bmc1_property_lemmas false
% 87.45/11.50 --bmc1_k_induction false
% 87.45/11.50 --bmc1_non_equiv_states false
% 87.45/11.50 --bmc1_deadlock false
% 87.45/11.50 --bmc1_ucm false
% 87.45/11.50 --bmc1_add_unsat_core none
% 87.45/11.50 --bmc1_unsat_core_children false
% 87.45/11.50 --bmc1_unsat_core_extrapolate_axioms false
% 87.45/11.50 --bmc1_out_stat full
% 87.45/11.50 --bmc1_ground_init false
% 87.45/11.50 --bmc1_pre_inst_next_state false
% 87.45/11.50 --bmc1_pre_inst_state false
% 87.45/11.50 --bmc1_pre_inst_reach_state false
% 87.45/11.50 --bmc1_out_unsat_core false
% 87.45/11.50 --bmc1_aig_witness_out false
% 87.45/11.50 --bmc1_verbose false
% 87.45/11.50 --bmc1_dump_clauses_tptp false
% 87.45/11.50 --bmc1_dump_unsat_core_tptp false
% 87.45/11.50 --bmc1_dump_file -
% 87.45/11.50 --bmc1_ucm_expand_uc_limit 128
% 87.45/11.50 --bmc1_ucm_n_expand_iterations 6
% 87.45/11.50 --bmc1_ucm_extend_mode 1
% 87.45/11.50 --bmc1_ucm_init_mode 2
% 87.45/11.50 --bmc1_ucm_cone_mode none
% 87.45/11.50 --bmc1_ucm_reduced_relation_type 0
% 87.45/11.50 --bmc1_ucm_relax_model 4
% 87.45/11.50 --bmc1_ucm_full_tr_after_sat true
% 87.45/11.50 --bmc1_ucm_expand_neg_assumptions false
% 87.45/11.50 --bmc1_ucm_layered_model none
% 87.45/11.50 --bmc1_ucm_max_lemma_size 10
% 87.45/11.50
% 87.45/11.50 ------ AIG Options
% 87.45/11.50
% 87.45/11.50 --aig_mode false
% 87.45/11.50
% 87.45/11.50 ------ Instantiation Options
% 87.45/11.50
% 87.45/11.50 --instantiation_flag true
% 87.45/11.50 --inst_sos_flag false
% 87.45/11.50 --inst_sos_phase true
% 87.45/11.50 --inst_sos_sth_lit_sel [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 87.45/11.50 --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 87.45/11.50 --inst_lit_sel_side num_symb
% 87.45/11.50 --inst_solver_per_active 1400
% 87.45/11.50 --inst_solver_calls_frac 1.
% 87.45/11.50 --inst_to_smt_solver true
% 87.45/11.50 --inst_passive_queue_type priority_queues
% 87.45/11.50 --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 87.45/11.50 --inst_passive_queues_freq [25;2]
% 87.45/11.50 --inst_dismatching true
% 87.45/11.50 --inst_eager_unprocessed_to_passive true
% 87.45/11.50 --inst_unprocessed_bound 1000
% 87.45/11.50 --inst_prop_sim_given true
% 87.45/11.50 --inst_prop_sim_new false
% 87.45/11.50 --inst_subs_new false
% 87.45/11.50 --inst_eq_res_simp false
% 87.45/11.50 --inst_subs_given false
% 87.45/11.50 --inst_orphan_elimination true
% 87.45/11.50 --inst_learning_loop_flag true
% 87.45/11.50 --inst_learning_start 3000
% 87.45/11.50 --inst_learning_factor 2
% 87.45/11.50 --inst_start_prop_sim_after_learn 3
% 87.45/11.50 --inst_sel_renew solver
% 87.45/11.50 --inst_lit_activity_flag true
% 87.45/11.50 --inst_restr_to_given false
% 87.45/11.50 --inst_activity_threshold 500
% 87.45/11.50
% 87.45/11.50 ------ Resolution Options
% 87.45/11.50
% 87.45/11.50 --resolution_flag true
% 87.45/11.50 --res_lit_sel adaptive_max
% 87.45/11.50 --res_lit_sel_side num_symb
% 87.45/11.50 --res_ordering kbo
% 87.45/11.50 --res_to_prop_solver active
% 87.45/11.50 --res_prop_simpl_new false
% 87.45/11.50 --res_prop_simpl_given true
% 87.45/11.50 --res_to_smt_solver true
% 87.45/11.50 --res_passive_queue_type priority_queues
% 87.45/11.50 --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 87.45/11.50 --res_passive_queues_freq [15;5]
% 87.45/11.50 --res_forward_subs full
% 87.45/11.50 --res_backward_subs full
% 87.45/11.50 --res_forward_subs_resolution true
% 87.45/11.50 --res_backward_subs_resolution true
% 87.45/11.50 --res_orphan_elimination true
% 87.45/11.50 --res_time_limit 300.
% 87.45/11.50
% 87.45/11.50 ------ Superposition Options
% 87.45/11.50
% 87.45/11.50 --superposition_flag true
% 87.45/11.50 --sup_passive_queue_type priority_queues
% 87.45/11.50 --sup_passive_queues [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]]
% 87.45/11.50 --sup_passive_queues_freq [8;1;4;4]
% 87.45/11.50 --demod_completeness_check fast
% 87.45/11.50 --demod_use_ground true
% 87.45/11.50 --sup_unprocessed_bound 0
% 87.45/11.50 --sup_to_prop_solver passive
% 87.45/11.50 --sup_prop_simpl_new true
% 87.45/11.50 --sup_prop_simpl_given true
% 87.45/11.50 --sup_fun_splitting false
% 87.45/11.50 --sup_iter_deepening 2
% 87.45/11.50 --sup_restarts_mult 12
% 87.45/11.50 --sup_score sim_d_gen
% 87.45/11.50 --sup_share_score_frac 0.2
% 87.45/11.50 --sup_share_max_num_cl 500
% 87.45/11.50 --sup_ordering kbo
% 87.45/11.50 --sup_symb_ordering invfreq
% 87.45/11.50 --sup_term_weight default
% 87.45/11.50
% 87.45/11.50 ------ Superposition Simplification Setup
% 87.45/11.50
% 87.45/11.50 --sup_indices_passive [LightNormIndex;FwDemodIndex]
% 87.45/11.50 --sup_full_triv [SMTSimplify;PropSubs]
% 87.45/11.50 --sup_full_fw [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 87.45/11.50 --sup_full_bw [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 87.45/11.50 --sup_immed_triv []
% 87.45/11.50 --sup_immed_fw_main [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 87.45/11.50 --sup_immed_fw_immed [ACNormalisation;FwUnitSubsAndRes]
% 87.45/11.50 --sup_immed_bw_main [BwUnitSubsAndRes;BwDemod]
% 87.45/11.50 --sup_immed_bw_immed [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 87.45/11.50 --sup_input_triv [Unflattening;SMTSimplify]
% 87.45/11.50 --sup_input_fw [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 87.45/11.50 --sup_input_bw [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 87.45/11.50 --sup_full_fixpoint true
% 87.45/11.50 --sup_main_fixpoint true
% 87.45/11.50 --sup_immed_fixpoint false
% 87.45/11.50 --sup_input_fixpoint true
% 87.45/11.50 --sup_cache_sim none
% 87.45/11.50 --sup_smt_interval 500
% 87.45/11.50 --sup_bw_gjoin_interval 0
% 87.45/11.50
% 87.45/11.50 ------ Combination Options
% 87.45/11.50
% 87.45/11.50 --comb_mode clause_based
% 87.45/11.50 --comb_inst_mult 5
% 87.45/11.50 --comb_res_mult 1
% 87.45/11.50 --comb_sup_mult 1
% 87.45/11.50 --comb_sup_deep_mult 1
% 87.45/11.50
% 87.45/11.50 ------ Debug Options
% 87.45/11.50
% 87.45/11.50 --dbg_backtrace false
% 87.45/11.50 --dbg_dump_prop_clauses false
% 87.45/11.50 --dbg_dump_prop_clauses_file -
% 87.45/11.50 --dbg_out_stat false
% 87.45/11.50 --dbg_just_parse false
% 87.45/11.50
% 87.45/11.50
% 87.45/11.50
% 87.45/11.50
% 87.45/11.50 ------ Proving...
% 87.45/11.50
% 87.45/11.50
% 87.45/11.50 % SZS status Satisfiable for theBenchmark.p
% 87.45/11.50
% 87.45/11.50 ------ Building Model...Done
% 87.45/11.50
% 87.45/11.50 %------ The model is defined over ground terms (initial term algebra).
% 87.45/11.50 %------ Predicates are defined as (\forall x_1,..,x_n ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n))))
% 87.45/11.50 %------ where \phi is a formula over the term algebra.
% 87.45/11.50 %------ If we have equality in the problem then it is also defined as a predicate above,
% 87.45/11.50 %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 87.45/11.50 %------ See help for --sat_out_model for different model outputs.
% 87.45/11.50 %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 87.45/11.50 %------ where the first argument stands for the sort ($i in the unsorted case)
% 87.45/11.50 % SZS output start Model for theBenchmark.p
% 87.45/11.50
% 87.45/11.50 %------ Positive definition of '$ki_accessible'
% 87.45/11.50 fof(lit_def,axiom,
% 87.45/11.50 (! [X0_13,X1_13] :
% 87.45/11.50 ( '$ki_accessible'(X0_13,X1_13) <=>
% 87.45/11.50 (
% 87.45/11.50 (
% 87.45/11.50 ( X0_13!=sK52(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK53(X0,product(X1),X0_13) | X1_13!=sK36(product(X1),X0,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK53(X0,product(X1),X0_13) | X1_13!=sK61(X0,X1_13,product(X1)) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK53(X0,product(X1),X0_13) | X1_13!=sK46(X0,product(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK53(X0,product(X1),X0_13) | X1_13!=sK47(X0,product(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK53(X0,product(X1),X0_13) | X1_13!=sK43(X0,product(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK53(X0,product(X1),X0_13) | X1_13!=sK67(product(X1),X0,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK53(X0,product(X1),X0_13) | X1_13!=sK61(X0,sK53(X0,product(X1),X1_13),product(X1)) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK65(X0,X1,sK53(X1,product(X0),X0_13)) | X1_13!=sK44(sK64(X0,X1,sK53(X1,product(X0),X0_13)),X0,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK65(X0,X1,sK53(X1,product(X0),X0_13)) | X1_13!=sK62(X0,X1_13,sK64(X0,X1,sK53(X1,product(X0),X0_13))) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK68(X0,X1,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK24(X0,sum(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK24(X0,power_set(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK24(X0,union(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK24(X0,singleton(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK24(X0,unordered_pair(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK24(X0,product(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK26(union(X0,X1),X2,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK26(unordered_pair(X0,X1),X2,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK26(product(X0),X1,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK24(X0,intersection(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK26(intersection(X0,X1),X2,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ! [X2] : ( X1_13!=sK24(X0,difference(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK26(difference(X0,X1),X2,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK36(intersection(X0,X1),X2,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK36(union(X0,X1),X2,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK36(difference(X0,X1),X2,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK36(unordered_pair(X0,X1),X2,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK36(product(X0),X1,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK67(intersection(X0,X1),X2,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK67(union(X0,X1),X2,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK67(unordered_pair(X0,X1),X2,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK67(product(X0),X1,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK36(power_set(X0),X1,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK36(singleton(X0),X1,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK67(power_set(X0),X1,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK67(singleton(X0),X1,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK26(power_set(X0),X1,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK26(singleton(X0),X1,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK61(X0,X1_13,power_set(X1)) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK61(X0,X1_13,intersection(X1,X2)) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK61(X0,X1_13,union(X1,X2)) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK61(X0,X1_13,difference(X1,X2)) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK61(X0,X1_13,singleton(X1)) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK61(X0,X1_13,unordered_pair(X1,X2)) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK61(X0,X1_13,product(X1)) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK61(X0,X1_13,sum(X1)) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK46(X0,power_set(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK46(X0,intersection(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK46(X0,union(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK46(X0,difference(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK46(X0,singleton(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK46(X0,unordered_pair(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK46(X0,product(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK47(X0,power_set(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK47(X0,intersection(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK47(X0,union(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK47(X0,difference(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK47(X0,singleton(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK47(X0,unordered_pair(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK47(X0,product(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK26(sum(X0),X1,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK36(sum(X0),X1,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK67(sum(X0),X1,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK46(X0,sum(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK62(intersection(X0,X1),X1_13,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK62(union(X0,X1),X1_13,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK62(difference(X0,X1),X1_13,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK62(unordered_pair(X0,X1),X1_13,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK62(product(X0),X1_13,X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK43(X0,power_set(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK43(X0,intersection(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK43(X0,union(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK43(X0,difference(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK43(X0,singleton(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK43(X0,unordered_pair(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK43(X0,product(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK44(X0,power_set(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK44(X0,intersection(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK44(X0,union(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK44(X0,difference(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK44(X0,singleton(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK44(X0,unordered_pair(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK44(X0,product(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ! [X1,X0] : ( X1_13!=sK52(X0,X1,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK53(X0,union(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK53(X0,difference(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK53(X0,unordered_pair(X1,X2),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK53(X0,product(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK62(power_set(X0),X1_13,X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK62(singleton(X0),X1_13,X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK62(sum(X0),X1_13,X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK47(X0,sum(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK43(X0,sum(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK44(X0,sum(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK53(X0,sum(X1),X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK45(sK64(X0,X1,sK53(X1,product(X0),X1_13)),X2,X0,X3_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK45(sK64(X0,X1,sK53(X1,product(X0),X1_13)),X0,X2,X3_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK63(X0,X1,sK53(X1,product(X0),X1_13)) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK61(X0,sK53(X0,product(X1),X1_13),product(X1)) )
% 87.45/11.50 &
% 87.45/11.50 ! [X3_13] : ( X1_13!=sK60(sK64(X0,X1,sK53(X1,product(X0),X1_13)),X2,X3_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK48(sK64(X0,X1,sK53(X1,product(X0),X1_13)),X0,X2,X3_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK48(sK64(X0,X1,sK53(X1,product(X0),X1_13)),X2,X0,X3_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK51(X0,sK64(X1,X2,sK53(X2,product(X1),X1_13)),X1,X3_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK44(sK64(X0,X1,sK53(X1,product(X0),X1_13)),X0,X3_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1_13!=sK62(X0,X1_13,sK64(X0,X1,sK53(X1,product(X0),X3_13))) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 (
% 87.45/11.50 ( X0_13='$ki_local_world' & X1_13=sK69 )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK52(X0,X1,X2_13) & X1_13=sK52(X0,X1,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK69 & X1_13=sK71 )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK26(product(X0),X1,X2_13) & X1_13=sK26(product(X0),X1,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK24(X0,difference(X1,X2),X2_13) & X1_13=sK24(X0,difference(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK24(X0,product(X1),X2_13) & X1_13=sK24(X0,product(X1),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK36(power_set(X0),X1,X2_13) & X1_13=sK36(power_set(X0),X1,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK36(singleton(X0),X1,X2_13) & X1_13=sK36(singleton(X0),X1,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK65(X0,X1,X2_13) & X1_13=sK66(X0,X1,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK67(power_set(X0),X1,X2_13) & X1_13=sK67(power_set(X0),X1,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK67(singleton(X0),X1,X2_13) & X1_13=sK67(singleton(X0),X1,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK24(X0,power_set(X1),X2_13) & X1_13=sK24(X0,power_set(X1),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK24(X0,singleton(X1),X2_13) & X1_13=sK24(X0,singleton(X1),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK26(power_set(X0),X1,X2_13) & X1_13=sK26(power_set(X0),X1,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK26(singleton(X0),X1,X2_13) & X1_13=sK26(singleton(X0),X1,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X2_13,X1,X2] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK61(X0,X2_13,difference(X1,X2)) & X1_13=sK61(X0,X2_13,difference(X1,X2)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK46(X0,difference(X1,X2),X2_13) & X1_13=sK46(X0,difference(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK47(X0,difference(X1,X2),X2_13) & X1_13=sK47(X0,difference(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK67(unordered_pair(X0,X1),X2,X2_13) & X1_13=sK67(unordered_pair(X0,X1),X2,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X2_13,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK61(X0,X2_13,power_set(X1)) & X1_13=sK61(X0,X2_13,power_set(X1)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X2_13,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK61(X0,X2_13,singleton(X1)) & X1_13=sK61(X0,X2_13,singleton(X1)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK24(X0,sum(X1),X2_13) & X1_13=sK24(X0,sum(X1),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK26(sum(X0),X1,X2_13) & X1_13=sK26(sum(X0),X1,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK36(sum(X0),X1,X2_13) & X1_13=sK36(sum(X0),X1,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK67(sum(X0),X1,X2_13) & X1_13=sK67(sum(X0),X1,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK46(X0,power_set(X1),X2_13) & X1_13=sK46(X0,power_set(X1),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK46(X0,singleton(X1),X2_13) & X1_13=sK46(X0,singleton(X1),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK46(X0,sum(X1),X2_13) & X1_13=sK46(X0,sum(X1),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK68(X0,X1,X2_13) & X1_13=sK68(X0,X1,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK24(X0,unordered_pair(X1,X2),X2_13) & X1_13=sK24(X0,unordered_pair(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK26(unordered_pair(X0,X1),X2,X2_13) & X1_13=sK26(unordered_pair(X0,X1),X2,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X2_13,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK62(product(X0),X2_13,X1) & X1_13=sK62(product(X0),X2_13,X1) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK24(X0,union(X1,X2),X2_13) & X1_13=sK24(X0,union(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK26(union(X0,X1),X2,X2_13) & X1_13=sK26(union(X0,X1),X2,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK67(union(X0,X1),X2,X2_13) & X1_13=sK67(union(X0,X1),X2,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK36(union(X0,X1),X2,X2_13) & X1_13=sK36(union(X0,X1),X2,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK36(unordered_pair(X0,X1),X2,X2_13) & X1_13=sK36(unordered_pair(X0,X1),X2,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK24(X0,intersection(X1,X2),X2_13) & X1_13=sK24(X0,intersection(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK26(intersection(X0,X1),X2,X2_13) & X1_13=sK26(intersection(X0,X1),X2,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK43(X0,difference(X1,X2),X2_13) & X1_13=sK43(X0,difference(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK44(X0,difference(X1,X2),X2_13) & X1_13=sK44(X0,difference(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK67(intersection(X0,X1),X2,X2_13) & X1_13=sK67(intersection(X0,X1),X2,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK36(intersection(X0,X1),X2,X2_13) & X1_13=sK36(intersection(X0,X1),X2,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK26(difference(X0,X1),X2,X2_13) & X1_13=sK26(difference(X0,X1),X2,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK36(difference(X0,X1),X2,X2_13) & X1_13=sK36(difference(X0,X1),X2,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK53(X0,difference(X1,X2),X2_13) & X1_13=sK53(X0,difference(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK44(X0,product(X1),X2_13) & X1_13=sK44(X0,product(X1),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X2_13,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK62(power_set(X0),X2_13,X1) & X1_13=sK62(power_set(X0),X2_13,X1) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X2_13,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK62(singleton(X0),X2_13,X1) & X1_13=sK62(singleton(X0),X2_13,X1) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK47(X0,power_set(X1),X2_13) & X1_13=sK47(X0,power_set(X1),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK47(X0,singleton(X1),X2_13) & X1_13=sK47(X0,singleton(X1),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK43(X0,power_set(X1),X2_13) & X1_13=sK43(X0,power_set(X1),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK43(X0,singleton(X1),X2_13) & X1_13=sK43(X0,singleton(X1),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK44(X0,power_set(X1),X2_13) & X1_13=sK44(X0,power_set(X1),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK44(X0,singleton(X1),X2_13) & X1_13=sK44(X0,singleton(X1),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X2_13,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK61(X0,X2_13,sum(X1)) & X1_13=sK61(X0,X2_13,sum(X1)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X2_13,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK62(sum(X0),X2_13,X1) & X1_13=sK62(sum(X0),X2_13,X1) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK47(X0,sum(X1),X2_13) & X1_13=sK47(X0,sum(X1),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK43(X0,sum(X1),X2_13) & X1_13=sK43(X0,sum(X1),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK44(X0,sum(X1),X2_13) & X1_13=sK44(X0,sum(X1),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK53(X0,sum(X1),X2_13) & X1_13=sK53(X0,sum(X1),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X2_13,X1,X2] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK61(X0,X2_13,union(X1,X2)) & X1_13=sK61(X0,X2_13,union(X1,X2)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X2_13,X1,X2] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK61(X0,X2_13,unordered_pair(X1,X2)) & X1_13=sK61(X0,X2_13,unordered_pair(X1,X2)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13,X2] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK62(union(X0,X1),X2_13,X2) & X1_13=sK62(union(X0,X1),X2_13,X2) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13,X2] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK62(unordered_pair(X0,X1),X2_13,X2) & X1_13=sK62(unordered_pair(X0,X1),X2_13,X2) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK46(X0,union(X1,X2),X2_13) & X1_13=sK46(X0,union(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK46(X0,unordered_pair(X1,X2),X2_13) & X1_13=sK46(X0,unordered_pair(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK47(X0,union(X1,X2),X2_13) & X1_13=sK47(X0,union(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK47(X0,unordered_pair(X1,X2),X2_13) & X1_13=sK47(X0,unordered_pair(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK43(X0,union(X1,X2),X2_13) & X1_13=sK43(X0,union(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK43(X0,unordered_pair(X1,X2),X2_13) & X1_13=sK43(X0,unordered_pair(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK44(X0,union(X1,X2),X2_13) & X1_13=sK44(X0,union(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK44(X0,unordered_pair(X1,X2),X2_13) & X1_13=sK44(X0,unordered_pair(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X2_13,X1,X2] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK61(X0,X2_13,intersection(X1,X2)) & X1_13=sK61(X0,X2_13,intersection(X1,X2)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13,X2] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK62(intersection(X0,X1),X2_13,X2) & X1_13=sK62(intersection(X0,X1),X2_13,X2) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK46(X0,intersection(X1,X2),X2_13) & X1_13=sK46(X0,intersection(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK47(X0,intersection(X1,X2),X2_13) & X1_13=sK47(X0,intersection(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK43(X0,intersection(X1,X2),X2_13) & X1_13=sK43(X0,intersection(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK44(X0,intersection(X1,X2),X2_13) & X1_13=sK44(X0,intersection(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13,X2] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK62(difference(X0,X1),X2_13,X2) & X1_13=sK62(difference(X0,X1),X2_13,X2) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK53(X0,product(X1),X2_13) & X1_13=sK53(X0,product(X1),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13,X2] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK53(X0,product(X1),X2_13) & X1_13=sK68(X2,X1,sK53(X0,product(X1),X2_13)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK53(X0,union(X1,X2),X2_13) & X1_13=sK53(X0,union(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK53(X0,unordered_pair(X1,X2),X2_13) & X1_13=sK53(X0,unordered_pair(X1,X2),X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK53(X0,unordered_pair(X1,X2),X2_13) & X1_13=sK56(X0,X2,sK53(X0,unordered_pair(X1,X2),X2_13)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13,X2,X3_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK60(sK64(X0,X1,sK53(X1,product(X0),X2_13)),X2,X3_13) & X1_13=sK60(sK64(X0,X1,sK53(X1,product(X0),X2_13)),X2,X3_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13,X2,X3_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK48(sK64(X0,X1,sK53(X1,product(X0),X2_13)),X0,X2,X3_13) & X1_13=sK48(sK64(X0,X1,sK53(X1,product(X0),X2_13)),X0,X2,X3_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13,X2,X3_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK48(sK64(X0,X1,sK53(X1,product(X0),X2_13)),X2,X0,X3_13) & X1_13=sK48(sK64(X0,X1,sK53(X1,product(X0),X2_13)),X2,X0,X3_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13,X2,X3_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK45(sK64(X0,X1,sK53(X1,product(X0),X2_13)),X2,X0,X3_13) & X1_13=sK45(sK64(X0,X1,sK53(X1,product(X0),X2_13)),X2,X0,X3_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2,X2_13,X3_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK51(X0,sK64(X1,X2,sK53(X2,product(X1),X2_13)),X1,X3_13) & X1_13=sK51(X0,sK64(X1,X2,sK53(X2,product(X1),X2_13)),X1,X3_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13,X2,X3_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK45(sK64(X0,X1,sK53(X1,product(X0),X2_13)),X0,X2,X3_13) & X1_13=sK45(sK64(X0,X1,sK53(X1,product(X0),X2_13)),X0,X2,X3_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK63(X0,X1,sK53(X1,product(X0),X2_13)) & X1_13=sK63(X0,X1,sK53(X1,product(X0),X2_13)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13,X2] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK63(X0,X1,sK53(X1,product(X0),X2_13)) & X1_13=sK68(X2,X0,sK63(X0,X1,sK53(X1,product(X0),X2_13))) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK63(X0,X1,X2_13) & X1_13=sK65(X0,X1,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=X0_13 )
% 87.45/11.50 &
% 87.45/11.50 ! [X1,X0] : ( X0_13!=sK52(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK68(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ! [X2] : ( X0_13!=sK24(X0,difference(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK24(X0,sum(X1),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK24(X0,power_set(X1),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK24(X0,union(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK24(X0,singleton(X1),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK24(X0,unordered_pair(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK24(X0,product(X1),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK26(power_set(X0),X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK26(union(X0,X1),X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK26(singleton(X0),X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK26(unordered_pair(X0,X1),X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK26(sum(X0),X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK26(product(X0),X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK24(X0,intersection(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK26(intersection(X0,X1),X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK26(difference(X0,X1),X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK36(power_set(X0),X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK36(intersection(X0,X1),X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK36(union(X0,X1),X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK36(difference(X0,X1),X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK36(singleton(X0),X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK36(unordered_pair(X0,X1),X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK36(sum(X0),X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK67(power_set(X0),X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK67(intersection(X0,X1),X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK67(union(X0,X1),X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK67(singleton(X0),X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK67(unordered_pair(X0,X1),X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK67(sum(X0),X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK61(X0,X0_13,power_set(X1)) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK61(X0,X0_13,intersection(X1,X2)) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK61(X0,X0_13,union(X1,X2)) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK61(X0,X0_13,difference(X1,X2)) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK61(X0,X0_13,singleton(X1)) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK61(X0,X0_13,unordered_pair(X1,X2)) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK61(X0,X0_13,sum(X1)) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK46(X0,power_set(X1),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK46(X0,intersection(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK46(X0,union(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK46(X0,difference(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK46(X0,singleton(X1),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK46(X0,unordered_pair(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK46(X0,sum(X1),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK47(X0,power_set(X1),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK47(X0,intersection(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK47(X0,union(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK47(X0,difference(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK47(X0,singleton(X1),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK47(X0,unordered_pair(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK47(X0,sum(X1),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK62(power_set(X0),X0_13,X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK62(intersection(X0,X1),X0_13,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK62(union(X0,X1),X0_13,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK62(difference(X0,X1),X0_13,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK62(singleton(X0),X0_13,X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK62(unordered_pair(X0,X1),X0_13,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK62(sum(X0),X0_13,X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK62(product(X0),X0_13,X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK43(X0,power_set(X1),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK43(X0,intersection(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK43(X0,union(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK43(X0,difference(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK43(X0,singleton(X1),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK43(X0,unordered_pair(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK43(X0,sum(X1),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK44(X0,power_set(X1),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK44(X0,intersection(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK44(X0,union(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK44(X0,difference(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK44(X0,singleton(X1),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK44(X0,unordered_pair(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK44(X0,sum(X1),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK44(X0,product(X1),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK53(X0,union(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK53(X0,difference(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK53(X0,unordered_pair(X1,X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK53(X0,sum(X1),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK53(X0,product(X1),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK45(sK64(X0,X1,sK53(X1,product(X0),X0_13)),X0,X2,X2_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK48(sK64(X0,X1,sK53(X1,product(X0),X0_13)),X0,X2,X2_13) )
% 87.45/11.50 &
% 87.45/11.50 ! [X2_13] : ( X0_13!=sK60(sK64(X0,X1,sK53(X1,product(X0),X0_13)),X2,X2_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK48(sK64(X0,X1,sK53(X1,product(X0),X0_13)),X2,X0,X2_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK45(sK64(X0,X1,sK53(X1,product(X0),X0_13)),X2,X0,X2_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK63(X0,X1,sK53(X1,product(X0),X0_13)) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK51(X0,sK64(X1,X2,sK53(X2,product(X1),X0_13)),X1,X2_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK8(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X2,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK9(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X2,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK10(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X2,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK11(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X2,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK16(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X2,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK17(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X2,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK18(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X2,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK19(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X2,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK24(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X3,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=difference(X1,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=intersection(X1,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=power_set(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=product(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=singleton(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=sum(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=union(X1,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=unordered_pair(X1,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=intersection(X1,X3) )
% 87.45/11.50 &
% 87.45/11.50 ! [X3] : ( X1!=difference(X1,X3) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=union(X1,X3) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=unordered_pair(X1,X3) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK26(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=difference(X0,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=intersection(X0,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=power_set(X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=product(X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=singleton(X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=sum(X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=union(X0,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=unordered_pair(X0,X2) )
% 87.45/11.50 &
% 87.45/11.50 ! [X3] : ( X0!=difference(X0,X3) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=intersection(X0,X3) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=union(X0,X3) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=unordered_pair(X0,X3) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ! [X3] : ( X0_13!=sK52(X1,X3,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK36(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=difference(X0,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=difference(X0,X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=intersection(X0,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=intersection(X0,X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=power_set(X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=product(X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=product(X0) | X0_13!=sK53(X1,product(X0),X6_13) | X1!=X1 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=singleton(X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=sum(X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=union(X0,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=union(X0,X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=unordered_pair(X0,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=unordered_pair(X0,X1) )
% 87.45/11.50 &
% 87.45/11.50 ! [X3] : ( X0_13!=sK52(X1,X3,X6_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X2,X0,X6_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK37(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ! [X3] : ( X0_13!=sK52(X1,X3,X6_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK38(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X0,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ! [X3,X2] : ( X0_13!=sK52(X2,X3,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK41(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X0,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK43(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK53(X0,product(X1),X0_13) | X1!=product(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X2,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X3,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=difference(X1,X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=intersection(X1,X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=power_set(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=product(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=singleton(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=sum(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=union(X1,X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=unordered_pair(X1,X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=intersection(X1,X3) )
% 87.45/11.50 &
% 87.45/11.50 ! [X3] : ( X1!=difference(X1,X3) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=union(X1,X3) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=unordered_pair(X1,X3) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK45(X0,X1,X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ! [X6_13] : ( X0!=sK64(X2,X0,sK53(X0,product(X2),X6_13)) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=sK64(X1,X0,sK53(X0,product(X1),X6_13)) | X1!=X1 )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X2,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X2,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK46(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X2 | X0_13!=sK53(X2,product(X1),X0_13) | X1!=product(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X0,X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X2,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=difference(X1,X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=intersection(X1,X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=power_set(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=product(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=singleton(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=sum(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=union(X1,X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=unordered_pair(X1,X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=intersection(X1,X3) )
% 87.45/11.50 &
% 87.45/11.50 ! [X3] : ( X1!=difference(X1,X3) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=union(X1,X3) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=unordered_pair(X1,X3) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK47(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X1 | X0_13!=sK53(X1,product(X2),X0_13) | X1!=product(X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=difference(X1,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=intersection(X1,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=power_set(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=product(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=singleton(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=sum(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=union(X1,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=unordered_pair(X1,X2) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK48(X0,X1,X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ! [X7_13] : ( X0!=sK64(X1,X2,sK53(X2,product(X1),X7_13)) | X1!=X1 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=sK64(X0,X2,sK53(X2,product(X0),X7_13)) | X2!=X0 )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X0,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK49(X0,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ! [X1] : ( X0_13!=sK52(X0,X1,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1,X2] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK51(X0,X1,X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ! [X4,X3] : ( X0_13!=sK52(X3,X4,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=sK64(X1,X2,sK53(X2,product(X1),X2_13)) | X2!=X1 )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK53(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X2,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X3,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X3,X4,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=difference(X1,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=difference(X1,X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=product(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=sum(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=union(X1,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=union(X1,X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=unordered_pair(X1,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=unordered_pair(X1,X0) )
% 87.45/11.50 &
% 87.45/11.50 ! [X3] : ( X1!=difference(X1,X3) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=difference(X1,X5) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=union(X1,X3) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=unordered_pair(X1,X3) )
% 87.45/11.50 &
% 87.45/11.50 ! [X5] : ( X1!=union(X1,X5) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=unordered_pair(X1,X5) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK54(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X0,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK57(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X2,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK60(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=sK64(X0,X1,sK53(X1,product(X0),X2_13)) )
% 87.45/11.50 &
% 87.45/11.50 ! [X3,X2] : ( X0_13!=sK52(X2,X3,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK61(X0,X0_13,X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X1 | X0_13!=sK53(X1,product(X0),X0_13) | X1!=product(X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X2,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X0,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=difference(X1,X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=intersection(X1,X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=power_set(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=product(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=singleton(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=sum(X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=union(X1,X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=unordered_pair(X1,X0) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK67(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=intersection(X0,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=intersection(X0,X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=power_set(X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=product(X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=product(X0) | X0_13!=sK53(X1,product(X0),X6_13) | X1!=X1 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=singleton(X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=sum(X0) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=union(X0,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=union(X0,X1) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=unordered_pair(X0,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=unordered_pair(X0,X1) )
% 87.45/11.50 &
% 87.45/11.50 ! [X3] : ( X0_13!=sK52(X1,X3,X6_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X0,X2,X6_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X0,X1] :
% 87.45/11.50 (
% 87.45/11.50 ( X1_13=sK63(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK53(X1,product(X0),X0_13) | X1!=X1 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X1 | X0_13!=sK53(X0,product(X1),X0_13) | X1!=X0 )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X0,X1,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X0,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 )
% 87.45/11.50 )
% 87.45/11.50 )
% 87.45/11.50 ).
% 87.45/11.50
% 87.45/11.50 %------ Positive definition of qmltpeq
% 87.45/11.50 fof(lit_def,axiom,
% 87.45/11.50 (! [X0_13,X0,X1] :
% 87.45/11.50 ( qmltpeq(X0_13,X0,X1) <=>
% 87.45/11.50 $true
% 87.45/11.50 )
% 87.45/11.50 )
% 87.45/11.50 ).
% 87.45/11.50
% 87.45/11.50 %------ Positive definition of equal_set
% 87.45/11.50 fof(lit_def,axiom,
% 87.45/11.50 (! [X0_13,X0,X1] :
% 87.45/11.50 ( equal_set(X0_13,X0,X1) <=>
% 87.45/11.50 (
% 87.45/11.50 (
% 87.45/11.50 ( X0!=union(sK70,sK70) | X0_13!=sK71 | X1!=sK70 )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 )
% 87.45/11.50 )
% 87.45/11.50 )
% 87.45/11.50 ).
% 87.45/11.50
% 87.45/11.50 %------ Positive definition of member
% 87.45/11.50 fof(lit_def,axiom,
% 87.45/11.50 (! [X0_13,X0,X1] :
% 87.45/11.50 ( member(X0_13,X0,X1) <=>
% 87.45/11.50 (
% 87.45/11.50 ? [X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK53(X0,product(X2),X1_13) & X1=product(X2) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK53(X0,power_set(X2),X1_13) & X1=power_set(X2) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X3,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK53(X0,intersection(X2,X3),X1_13) & X1=intersection(X2,X3) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X3,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK53(X0,union(X2,X3),X1_13) & X1=union(X2,X3) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X3,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK53(X0,difference(X2,X3),X1_13) & X1=difference(X2,X3) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK53(X0,singleton(X2),X1_13) & X1=singleton(X2) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X3,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK53(X0,unordered_pair(X2,X3),X1_13) & X1=unordered_pair(X2,X3) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK43(X0,product(X2),sK53(X0,product(X2),X1_13)) & X1=product(X2) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK47(X0,product(X2),sK53(X0,product(X2),X1_13)) & X1=product(X2) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK46(X0,product(X2),sK53(X0,product(X2),X1_13)) & X1=product(X2) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK61(X0,sK53(X0,product(X2),X1_13),product(X2)) & X1=product(X2) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK36(product(X2),X0,sK53(X0,product(X2),X1_13)) & X1=product(X2) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK67(product(X2),X0,sK53(X0,product(X2),X1_13)) & X1=product(X2) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X3,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK68(X0,X2,sK53(X3,product(X2),X1_13)) & X1=product(X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=sK64(product(X2),X0,sK53(X0,product(product(X2)),X2_13)) | X2!=X2 )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK68(X0,X2,sK53(X0,product(X2),X1_13)) & X1=product(X2) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X3,X1_13,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK68(sK64(product(X2),X3,sK53(X3,product(product(X2)),X1_13)),X2,sK53(sK64(product(X2),X3,sK53(X3,product(product(X2)),X1_13)),product(X2),X2_13)) & X0=sK64(product(X2),X3,sK53(X3,product(product(X2)),X1_13)) & X1=product(X2) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X3,X1_13,X4,X2_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK68(sK64(product(X2),X3,sK53(X3,product(product(X2)),X1_13)),X2,sK53(X4,product(X2),X2_13)) & X0=sK64(product(X2),X3,sK53(X3,product(product(X2)),X1_13)) & X1=product(X2) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X3,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK68(X0,X2,sK63(X2,X3,sK53(X3,product(X2),X1_13))) & X1=product(X2) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2] :
% 87.45/11.50 (
% 87.45/11.50 ( X1=sum(X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK60(X0,X2,X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK24(X0,sum(X2),X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK26(sum(X2),X0,X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK36(sum(X2),X0,X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK67(sum(X2),X0,X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK61(X0,X2_13,sum(X2)) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK46(X0,sum(X2),X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK47(X0,sum(X2),X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK62(sum(X2),X2_13,X0) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK43(X0,sum(X2),X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK44(X0,sum(X2),X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK53(X0,sum(X2),X2_13) | X2!=X2 )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2] :
% 87.45/11.50 (
% 87.45/11.50 ( X1=product(X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK24(X0,product(X2),X0_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK46(X0,product(X2),X0_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK43(X0,product(X2),X0_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK53(X0,product(X2),X0_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK68(X0,X2,X0_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK26(product(X2),X0,X0_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK36(product(X2),X0,X0_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK67(product(X2),X0,X0_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK61(X0,X0_13,product(X2)) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK47(X0,product(X2),X0_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK62(product(X2),X0_13,X0) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK44(X0,product(X2),X0_13) | X2!=X2 )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X3] :
% 87.45/11.50 (
% 87.45/11.50 ( X1=difference(X2,X3) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK51(X3,X0,X2,X3_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK24(X0,difference(X2,X3),X3_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK26(difference(X2,X3),X0,X3_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK61(X0,X3_13,difference(X2,X3)) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK46(X0,difference(X2,X3),X3_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK47(X0,difference(X2,X3),X3_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK62(difference(X2,X3),X3_13,X0) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK43(X0,difference(X2,X3),X3_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK44(X0,difference(X2,X3),X3_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK53(X0,difference(X2,X3),X3_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK36(difference(X2,X3),X0,X3_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK67(difference(X2,X3),X0,X3_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK51(X3,X0,X2,X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2] :
% 87.45/11.50 (
% 87.45/11.50 ( X1=power_set(X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK24(X0,power_set(X2),X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK26(power_set(X2),X0,X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK36(power_set(X2),X0,X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK67(power_set(X2),X0,X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK61(X0,X2_13,power_set(X2)) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK46(X0,power_set(X2),X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK47(X0,power_set(X2),X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK62(power_set(X2),X2_13,X0) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK43(X0,power_set(X2),X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK44(X0,power_set(X2),X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK53(X0,power_set(X2),X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK26(power_set(X2),X0,X0_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X2 | X0_13!=sK24(X2,power_set(X0),X0_13) | X2!=X0 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X2 | X0_13!=sK53(X2,power_set(X0),X0_13) | X2!=X0 )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2] :
% 87.45/11.50 (
% 87.45/11.50 ( X1=singleton(X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK24(X0,singleton(X2),X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK26(singleton(X2),X0,X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK36(singleton(X2),X0,X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK67(singleton(X2),X0,X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK61(X0,X2_13,singleton(X2)) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK46(X0,singleton(X2),X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK47(X0,singleton(X2),X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK62(singleton(X2),X2_13,X0) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK43(X0,singleton(X2),X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK44(X0,singleton(X2),X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK53(X0,singleton(X2),X2_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK26(singleton(X2),X0,X0_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X2 | X0_13!=sK24(X2,singleton(X0),X0_13) | X2!=X0 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X2 | X0_13!=sK53(X2,singleton(X0),X0_13) | X2!=X0 )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X3] :
% 87.45/11.50 (
% 87.45/11.50 ( X1=intersection(X2,X3) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK24(X0,intersection(X2,X3),X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK26(intersection(X2,X3),X0,X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK45(X0,X2,X3,X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK36(intersection(X2,X3),X0,X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK67(intersection(X2,X3),X0,X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK61(X0,X2_13,intersection(X2,X3)) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK46(X0,intersection(X2,X3),X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK47(X0,intersection(X2,X3),X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK62(intersection(X2,X3),X2_13,X0) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK43(X0,intersection(X2,X3),X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK44(X0,intersection(X2,X3),X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK53(X0,intersection(X2,X3),X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X3] :
% 87.45/11.50 (
% 87.45/11.50 ( X1=union(X2,X3) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK24(X0,union(X2,X3),X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK26(union(X2,X3),X0,X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK48(X0,X2,X3,X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK36(union(X2,X3),X0,X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK67(union(X2,X3),X0,X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK61(X0,X2_13,union(X2,X3)) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK46(X0,union(X2,X3),X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK47(X0,union(X2,X3),X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK62(union(X2,X3),X2_13,X0) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK43(X0,union(X2,X3),X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK44(X0,union(X2,X3),X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK53(X0,union(X2,X3),X2_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK26(union(X2,X3),X0,X4_13) | X2!=X2 | X3!=X3 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X2 | X0_13!=sK48(X2,X3,X0,X4_13) | X2!=X3 | X3!=X0 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X2 | X0_13!=sK24(X2,union(X3,X0),X4_13) | X2!=X3 | X3!=X0 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X2 | X0_13!=sK53(X2,union(X3,X0),X4_13) | X2!=X3 | X3!=X0 )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X2,X3] :
% 87.45/11.50 (
% 87.45/11.50 ( X1=unordered_pair(X2,X3) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 )
% 87.45/11.50 )
% 87.45/11.50 )
% 87.45/11.50 ).
% 87.45/11.50
% 87.45/11.50 %------ Positive definition of subset
% 87.45/11.50 fof(lit_def,axiom,
% 87.45/11.50 (! [X0_13,X0,X1] :
% 87.45/11.50 ( subset(X0_13,X0,X1) <=>
% 87.45/11.50 $true
% 87.45/11.50 )
% 87.45/11.50 )
% 87.45/11.50 ).
% 87.45/11.50
% 87.45/11.50 %------ Positive definition of '$ki_exists_in_world_$i'
% 87.45/11.50 fof(lit_def,axiom,
% 87.45/11.50 (! [X0_13,X0] :
% 87.45/11.50 ( '$ki_exists_in_world_$i'(X0_13,X0) <=>
% 87.45/11.50 (
% 87.45/11.50 (
% 87.45/11.50 ( X0=sK4(X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK24(X1,sum(X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK26(sum(X1),X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK36(sum(X1),X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK67(sum(X1),X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ! [X2,X1] : ( X0_13!=sK52(X1,X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK53(X1,sum(X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK53(X1,product(X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK61(X1,X0_13,sum(X2)) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK46(X1,sum(X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK47(X1,sum(X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK62(sum(X1),X0_13,X2) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK43(X1,sum(X2),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK44(X1,sum(X2),X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK69 & X0=sK70 )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X1,X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK67(sum(X1),X2,X1_13) & X0=sK4(sK67(sum(X1),X2,X1_13)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X1,X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK26(sum(X1),X2,X1_13) & X0=sK4(sK26(sum(X1),X2,X1_13)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X1,X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK36(sum(X1),X2,X1_13) & X0=sK4(sK36(sum(X1),X2,X1_13)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X1,X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK52(X1,X2,X1_13) & X0=sK4(sK52(X1,X2,X1_13)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X1,X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK63(X1,X2,X1_13) & X0=sK64(X1,X2,X1_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=X1 | X1_13!=sK53(X2,product(X1),X1_13) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=X2 | X1_13!=sK53(X1,product(X2),X1_13) | X2!=X1 )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X1,X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK53(X1,product(X2),X1_13) & X0=sK4(sK53(X1,product(X2),X1_13)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X1,X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK24(X1,sum(X2),X1_13) & X0=sK4(sK24(X1,sum(X2),X1_13)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X1,X1_13,X2] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK62(sum(X1),X1_13,X2) & X0=sK4(sK62(sum(X1),X1_13,X2)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X1,X1_13,X2] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK61(X1,X1_13,sum(X2)) & X0=sK4(sK61(X1,X1_13,sum(X2))) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X1,X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK46(X1,sum(X2),X1_13) & X0=sK4(sK46(X1,sum(X2),X1_13)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X1,X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK47(X1,sum(X2),X1_13) & X0=sK4(sK47(X1,sum(X2),X1_13)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X1,X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK43(X1,sum(X2),X1_13) & X0=sK4(sK43(X1,sum(X2),X1_13)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X1,X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK44(X1,sum(X2),X1_13) & X0=sK4(sK44(X1,sum(X2),X1_13)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 |
% 87.45/11.50 ? [X1,X2,X1_13] :
% 87.45/11.50 (
% 87.45/11.50 ( X0_13=sK53(X1,sum(X2),X1_13) & X0=sK4(sK53(X1,sum(X2),X1_13)) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 )
% 87.45/11.50 )
% 87.45/11.50 )
% 87.45/11.50 ).
% 87.45/11.50
% 87.45/11.50 %------ Positive definition of sP0
% 87.45/11.50 fof(lit_def,axiom,
% 87.45/11.50 (! [X0,X1,X0_13] :
% 87.45/11.50 ( sP0(X0,X1,X0_13) <=>
% 87.45/11.50 $true
% 87.45/11.50 )
% 87.45/11.50 )
% 87.45/11.50 ).
% 87.45/11.50
% 87.45/11.50 %------ Positive definition of sP1
% 87.45/11.50 fof(lit_def,axiom,
% 87.45/11.50 (! [X0,X1,X2,X0_13] :
% 87.45/11.50 ( sP1(X0,X1,X2,X0_13) <=>
% 87.45/11.50 (
% 87.45/11.50 (
% 87.45/11.50 ! [X3_13] : ( X0!=X0 | X1!=sK64(difference(X2,X0),X1,sK53(X1,product(difference(X2,X0)),X3_13)) | X2!=X2 )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X0,X2,X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X1!=sK64(X2,X1,sK53(X1,product(X2),X3_13)) | X2!=X2 )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 )
% 87.45/11.50 )
% 87.45/11.50 )
% 87.45/11.50 ).
% 87.45/11.50
% 87.45/11.50 %------ Positive definition of sP2
% 87.45/11.50 fof(lit_def,axiom,
% 87.45/11.50 (! [X0,X1,X0_13] :
% 87.45/11.50 ( sP2(X0,X1,X0_13) <=>
% 87.45/11.50 (
% 87.45/11.50 (
% 87.45/11.50 ! [X2_13] : ( X0!=sK64(sum(X0),X1,sK53(X1,product(sum(X0)),X2_13)) | X1!=X0 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=sK64(X0,X1,sK53(X1,product(X0),X2_13)) )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X0,X1,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 )
% 87.45/11.50 )
% 87.45/11.50 )
% 87.45/11.50 ).
% 87.45/11.50
% 87.45/11.50 %------ Positive definition of sP3
% 87.45/11.50 fof(lit_def,axiom,
% 87.45/11.50 (! [X0,X1,X0_13] :
% 87.45/11.50 ( sP3(X0,X1,X0_13) <=>
% 87.45/11.50 (
% 87.45/11.50 (
% 87.45/11.50 ( X0!=X0 | X0_13!=sK24(X1,product(X0),X0_13) | X1!=X1 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK68(X1,X0,X0_13) | X1!=X1 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK53(X1,product(X0),X0_13) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK53(X1,product(X0),X0_13) | X1!=X1 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X0 | X0_13!=sK44(X1,product(X0),X0_13) | X1!=X1 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X1 | X0_13!=sK26(product(X1),X0,X0_13) | X1!=X0 )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=X1 | X0_13!=sK62(product(X1),X0_13,X0) | X1!=X0 )
% 87.45/11.50 &
% 87.45/11.50 ! [X2_13] : ( X0!=X1 | X1!=sK64(product(X1),X0,sK53(X0,product(product(X1)),X2_13)) )
% 87.45/11.50 &
% 87.45/11.50 ( X0!=empty_set | X0_13!=sK53(X1,product(empty_set),X0_13) | X1!=X1 )
% 87.45/11.50 &
% 87.45/11.50 ( X0_13!=sK52(X1,X0,X0_13) )
% 87.45/11.50 )
% 87.45/11.50
% 87.45/11.50 )
% 87.45/11.50 )
% 87.45/11.50 )
% 87.45/11.50 ).
% 87.45/11.50 % SZS output end Model for theBenchmark.p
% 87.45/11.50
%------------------------------------------------------------------------------