0.03/0.14	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.14/0.14	% Command  : /export/starexec/sandbox/solver/bin/run_iprover 120 /export/starexec/sandbox/benchmark/theBenchmark.p SAT
0.14/0.37	% Computer : n021.cluster.edu
0.14/0.37	% Model    : x86_64 x86_64
0.14/0.37	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.37	% Memory   : 8042.1875MB
0.14/0.37	% OS       : Linux 3.10.0-693.el7.x86_64
0.14/0.37	% CPULimit : 960
0.14/0.37	% WCLimit  : 120
0.14/0.37	% DateTime : Wed Jul 30 05:38:04 EDT 2025
0.14/0.37	% CPUTime  : 
0.21/0.50	/export/starexec/sandbox/solver/bin/SPCForProblem: Command not found.
0.21/0.51	Running model finding
0.21/0.51	Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core-casc.sh -l tptp -s fnt_schedule -t 120 /export/starexec/sandbox/benchmark/theBenchmark.p
0.21/0.52	
0.21/0.52	% ======== iProver multi-core TPTP/SMT =========
0.21/0.52	
0.21/0.52	% Detected problem language: tptp
0.21/0.53	% Checking...
0.58/1.20	% Proving...
139.67/18.91	% SZS status Started for theBenchmark.p
139.67/18.91	% SZS status Satisfiable for theBenchmark.p
139.67/18.91	
139.67/18.91	%---------------- iProver v3.9.3 (pre CASC 2025/SMT-COMP 2025) ----------------%
139.67/18.91	
139.67/18.91	------  iProver source info
139.67/18.91	
139.67/18.91	git: date: 2025-07-21 10:15:00 +0000
139.67/18.91	git: sha1: d7ebeb21b290b8724a1e08b4c4a533d26e8c009f
139.67/18.91	git: non_committed_changes: true
139.67/18.91	
139.67/18.91	------ Parsing...
139.67/18.91	------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
139.67/18.91	
139.67/18.91	------ Proving...
139.67/18.91	------ Problem Properties 
139.67/18.91	
139.67/18.91	
139.67/18.91	clauses                                 144
139.67/18.91	conjectures                             4
139.67/18.91	EPR                                     10
139.67/18.91	Horn                                    60
139.67/18.91	unary                                   6
139.67/18.91	binary                                  0
139.67/18.91	lits                                    1237
139.67/18.91	lits eq                                 0
139.67/18.91	fd_pure                                 0
139.67/18.91	fd_pseudo                               0
139.67/18.91	fd_cond                                 0
139.67/18.91	fd_pseudo_cond                          0
139.67/18.91	AC symbols                              0
139.67/18.91	
139.67/18.91	------ Schedule Sat is on
139.67/18.91	
139.67/18.91	------ no equalities: superposition off 
139.67/18.91	
139.67/18.91	------ Input Options sat_mode off Time Limit: 30.
139.67/18.91	
139.67/18.91	
139.67/18.91	------ 
139.67/18.91	Current options:
139.67/18.91	------ 
139.67/18.91	
139.67/18.91	------ Input Options
139.67/18.91	
139.67/18.91	--out_options                           all
139.67/18.91	--tptp_safe_out                         true
139.67/18.91	--problem_path                          ""
139.67/18.91	--include_path                          ""
139.67/18.91	--clausifier                            res/vclausify_rel
139.67/18.91	--clausifier_options                    --mode tclausify -t 41.67 --show_fool true -updr off
139.67/18.91	--stdin                                 false
139.67/18.91	--proof_out                             true
139.67/18.91	--proof_dot_file                        ""
139.67/18.91	--proof_reduce_dot                      []
139.67/18.91	--suppress_sat_res                      false
139.67/18.91	--suppress_unsat_res                    true
139.67/18.91	--stats_out                             none
139.67/18.91	--stats_mem                             false
139.67/18.91	--theory_stats_out                      false
139.67/18.91	
139.67/18.91	------ General Options
139.67/18.91	
139.67/18.91	--fof                                   false
139.67/18.91	--time_out_real                         125.
139.67/18.91	--time_out_virtual                      -1.
139.67/18.91	--rnd_seed                              13
139.67/18.91	--symbol_type_check                     false
139.67/18.91	--clausify_out                          false
139.67/18.91	--sig_cnt_out                           false
139.67/18.91	--trig_cnt_out                          false
139.67/18.91	--trig_cnt_out_tolerance                1.
139.67/18.91	--trig_cnt_out_sk_spl                   false
139.67/18.91	--abstr_cl_out                          false
139.67/18.91	
139.67/18.91	------ Interactive Mode
139.67/18.91	
139.67/18.91	--interactive_mode                      false
139.67/18.91	--external_ip_address                   ""
139.67/18.91	--external_port                         0
139.67/18.91	
139.67/18.91	------ Global Options
139.67/18.91	
139.67/18.91	--schedule                              sat
139.67/18.91	--add_important_lit                     false
139.67/18.91	--prop_solver_per_cl                    500
139.67/18.91	--subs_bck_mult                         8
139.67/18.91	--min_unsat_core                        false
139.67/18.91	--soft_assumptions                      false
139.67/18.91	--soft_lemma_size                       3
139.67/18.91	--prop_impl_unit_size                   0
139.67/18.91	--prop_impl_unit                        []
139.67/18.91	--share_sel_clauses                     true
139.67/18.91	--reset_solvers                         false
139.67/18.91	--bc_imp_inh                            [conj_cone]
139.67/18.91	--conj_cone_tolerance                   3.
139.67/18.91	--extra_neg_conj                        none
139.67/18.91	--large_theory_mode                     true
139.67/18.91	--prolific_symb_bound                   200
139.67/18.91	--lt_threshold                          2000
139.67/18.91	--clause_weak_htbl                      true
139.67/18.91	--gc_record_bc_elim                     false
139.67/18.91	
139.67/18.91	------ Preprocessing Options
139.67/18.91	
139.67/18.91	--preprocessing_flag                    false
139.67/18.91	--time_out_prep_mult                    0.1
139.67/18.91	--splitting_mode                        input
139.67/18.91	--splitting_grd                         true
139.67/18.91	--splitting_cvd                         false
139.67/18.91	--splitting_cvd_svl                     false
139.67/18.91	--splitting_nvd                         32
139.67/18.91	--sub_typing                            false
139.67/18.91	--prep_eq_flat_conj                     false
139.67/18.91	--prep_eq_flat_all_gr                   false
139.67/18.91	--prep_gs_sim                           true
139.67/18.91	--prep_unflatten                        true
139.67/18.91	--prep_res_sim                          true
139.67/18.91	--prep_sup_sim_all                      true
139.67/18.91	--prep_sup_sim_sup                      false
139.67/18.91	--prep_upred                            true
139.67/18.91	--prep_well_definedness                 true
139.67/18.91	--prep_sem_filter                       exhaustive
139.67/18.91	--prep_sem_filter_out                   false
139.67/18.91	--pred_elim                             true
139.67/18.91	--res_sim_input                         true
139.67/18.91	--eq_ax_congr_red                       true
139.67/18.91	--pure_diseq_elim                       true
139.67/18.91	--brand_transform                       false
139.67/18.91	--non_eq_to_eq                          false
139.67/18.91	--prep_def_merge                        true
139.67/18.91	--prep_def_merge_prop_impl              false
139.67/18.91	--prep_def_merge_mbd                    true
139.67/18.91	--prep_def_merge_tr_red                 false
139.67/18.91	--prep_def_merge_tr_cl                  false
139.67/18.91	--smt_preprocessing                     false
139.67/18.91	--smt_ac_axioms                         fast
139.67/18.91	--preprocessed_out                      false
139.67/18.91	--preprocessed_stats                    false
139.67/18.91	
139.67/18.91	------ Abstraction refinement Options
139.67/18.91	
139.67/18.91	--abstr_ref                             []
139.67/18.91	--abstr_ref_prep                        false
139.67/18.91	--abstr_ref_until_sat                   false
139.67/18.91	--abstr_ref_sig_restrict                funpre
139.67/18.91	--abstr_ref_af_restrict_to_split_sk     false
139.67/18.91	--abstr_ref_under                       []
139.67/18.91	
139.67/18.91	------ SAT Options
139.67/18.91	
139.67/18.91	--sat_mode                              false
139.67/18.91	--sat_fm_restart_options                ""
139.67/18.91	--sat_gr_def                            false
139.67/18.91	--sat_epr_types                         true
139.67/18.91	--sat_non_cyclic_types                  false
139.67/18.91	--sat_finite_models                     false
139.67/18.91	--sat_fm_lemmas                         false
139.67/18.91	--sat_fm_prep                           false
139.67/18.91	--sat_fm_uc_incr                        true
139.67/18.91	--sat_out_model                         small
139.67/18.91	--sat_out_clauses                       false
139.67/18.91	
139.67/18.91	------ QBF Options
139.67/18.91	
139.67/18.91	--qbf_mode                              false
139.67/18.91	--qbf_elim_univ                         false
139.67/18.91	--qbf_dom_inst                          none
139.67/18.91	--qbf_dom_pre_inst                      false
139.67/18.91	--qbf_sk_in                             false
139.67/18.91	--qbf_pred_elim                         true
139.67/18.91	--qbf_split                             512
139.67/18.91	
139.67/18.91	------ BMC1 Options
139.67/18.91	
139.67/18.91	--bmc1_incremental                      false
139.67/18.91	--bmc1_axioms                           reachable_all
139.67/18.91	--bmc1_min_bound                        0
139.67/18.91	--bmc1_max_bound                        -1
139.67/18.91	--bmc1_max_bound_default                -1
139.67/18.91	--bmc1_symbol_reachability              true
139.67/18.91	--bmc1_property_lemmas                  false
139.67/18.91	--bmc1_k_induction                      false
139.67/18.91	--bmc1_non_equiv_states                 false
139.67/18.91	--bmc1_deadlock                         false
139.67/18.91	--bmc1_ucm                              false
139.67/18.91	--bmc1_add_unsat_core                   none
139.67/18.91	--bmc1_unsat_core_children              false
139.67/18.91	--bmc1_unsat_core_extrapolate_axioms    false
139.67/18.91	--bmc1_out_stat                         full
139.67/18.91	--bmc1_ground_init                      false
139.67/18.91	--bmc1_pre_inst_next_state              false
139.67/18.91	--bmc1_pre_inst_state                   false
139.67/18.91	--bmc1_pre_inst_reach_state             false
139.67/18.91	--bmc1_out_unsat_core                   false
139.67/18.91	--bmc1_aig_witness_out                  false
139.67/18.91	--bmc1_verbose                          false
139.67/18.91	--bmc1_dump_clauses_tptp                false
139.67/18.91	--bmc1_dump_unsat_core_tptp             false
139.67/18.91	--bmc1_dump_file                        -
139.67/18.91	--bmc1_ucm_expand_uc_limit              128
139.67/18.91	--bmc1_ucm_n_expand_iterations          6
139.67/18.91	--bmc1_ucm_extend_mode                  1
139.67/18.91	--bmc1_ucm_init_mode                    2
139.67/18.91	--bmc1_ucm_cone_mode                    none
139.67/18.91	--bmc1_ucm_reduced_relation_type        0
139.67/18.91	--bmc1_ucm_relax_model                  4
139.67/18.91	--bmc1_ucm_full_tr_after_sat            true
139.67/18.91	--bmc1_ucm_expand_neg_assumptions       false
139.67/18.91	--bmc1_ucm_layered_model                none
139.67/18.91	--bmc1_ucm_max_lemma_size               10
139.67/18.91	
139.67/18.91	------ AIG Options
139.67/18.91	
139.67/18.91	--aig_mode                              false
139.67/18.91	
139.67/18.91	------ Instantiation Options
139.67/18.91	
139.67/18.91	--instantiation_flag                    true
139.67/18.91	--inst_sos_flag                         false
139.67/18.91	--inst_sos_phase                        true
139.67/18.91	--inst_sos_sth_lit_sel                  [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
139.67/18.91	--inst_lit_sel                          [+prop;+sign;+ground;-num_var;-num_symb]
139.67/18.91	--inst_lit_sel_side                     num_symb
139.67/18.91	--inst_solver_per_active                1400
139.67/18.91	--inst_solver_calls_frac                1.
139.67/18.91	--inst_to_smt_solver                    true
139.67/18.91	--inst_passive_queue_type               priority_queues
139.67/18.91	--inst_passive_queues                   [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
139.67/18.91	--inst_passive_queues_freq              [25;2]
139.67/18.91	--inst_dismatching                      true
139.67/18.91	--inst_eager_unprocessed_to_passive     true
139.67/18.91	--inst_unprocessed_bound                1000
139.67/18.91	--inst_prop_sim_given                   true
139.67/18.91	--inst_prop_sim_new                     false
139.67/18.91	--inst_subs_new                         false
139.67/18.91	--inst_eq_res_simp                      false
139.67/18.91	--inst_subs_given                       false
139.67/18.91	--inst_orphan_elimination               true
139.67/18.91	--inst_learning_loop_flag               true
139.67/18.91	--inst_learning_start                   3000
139.67/18.91	--inst_learning_factor                  2
139.67/18.91	--inst_start_prop_sim_after_learn       3
139.67/18.91	--inst_sel_renew                        solver
139.67/18.91	--inst_lit_activity_flag                true
139.67/18.91	--inst_restr_to_given                   false
139.67/18.91	--inst_activity_threshold               500
139.67/18.91	
139.67/18.91	------ Resolution Options
139.67/18.91	
139.67/18.91	--resolution_flag                       true
139.67/18.91	--res_lit_sel                           adaptive
139.67/18.91	--res_lit_sel_side                      none
139.67/18.91	--res_ordering                          kbo
139.67/18.91	--res_to_prop_solver                    active
139.67/18.91	--res_prop_simpl_new                    false
139.67/18.91	--res_prop_simpl_given                  true
139.67/18.91	--res_to_smt_solver                     true
139.67/18.91	--res_passive_queue_type                priority_queues
139.67/18.91	--res_passive_queues                    [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
139.67/18.91	--res_passive_queues_freq               [15;5]
139.67/18.91	--res_forward_subs                      full
139.67/18.91	--res_backward_subs                     full
139.67/18.91	--res_forward_subs_resolution           true
139.67/18.91	--res_backward_subs_resolution          true
139.67/18.91	--res_orphan_elimination                true
139.67/18.91	--res_time_limit                        300.
139.67/18.91	
139.67/18.91	------ Superposition Options
139.67/18.91	
139.67/18.91	--superposition_flag                    true
139.67/18.91	--sup_passive_queue_type                priority_queues
139.67/18.91	--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]]
139.67/18.91	--sup_passive_queues_freq               [8;1;4;4]
139.67/18.91	--demod_completeness_check              fast
139.67/18.91	--demod_use_ground                      true
139.67/18.91	--sup_unprocessed_bound                 0
139.67/18.91	--sup_to_prop_solver                    passive
139.67/18.91	--sup_prop_simpl_new                    true
139.67/18.91	--sup_prop_simpl_given                  true
139.67/18.91	--sup_fun_splitting                     false
139.67/18.91	--sup_iter_deepening                    2
139.67/18.91	--sup_restarts_mult                     12
139.67/18.91	--sup_score                             sim_d_gen
139.67/18.91	--sup_share_score_frac                  0.2
139.67/18.91	--sup_share_max_num_cl                  500
139.67/18.91	--sup_ordering                          kbo
139.67/18.91	--sup_symb_ordering                     invfreq
139.67/18.91	--sup_term_weight                       default
139.67/18.91	
139.67/18.91	------ Superposition Simplification Setup
139.67/18.91	
139.67/18.91	--sup_indices_passive                   [LightNormIndex;FwDemodIndex]
139.67/18.91	--sup_full_triv                         [SMTSimplify;PropSubs]
139.67/18.91	--sup_full_fw                           [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
139.67/18.91	--sup_full_bw                           [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
139.67/18.91	--sup_immed_triv                        []
139.67/18.91	--sup_immed_fw_main                     [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
139.67/18.91	--sup_immed_fw_immed                    [ACNormalisation;FwUnitSubsAndRes]
139.67/18.91	--sup_immed_bw_main                     [BwUnitSubsAndRes;BwDemod]
139.67/18.91	--sup_immed_bw_immed                    [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
139.67/18.91	--sup_input_triv                        [Unflattening;SMTSimplify]
139.67/18.91	--sup_input_fw                          [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
139.67/18.91	--sup_input_bw                          [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
139.67/18.91	--sup_full_fixpoint                     true
139.67/18.91	--sup_main_fixpoint                     true
139.67/18.91	--sup_immed_fixpoint                    false
139.67/18.91	--sup_input_fixpoint                    true
139.67/18.91	--sup_cache_sim                         none
139.67/18.91	--sup_smt_interval                      500
139.67/18.91	--sup_bw_gjoin_interval                 0
139.67/18.91	
139.67/18.91	------ Combination Options
139.67/18.91	
139.67/18.91	--comb_mode                             clause_based
139.67/18.91	--comb_inst_mult                        5
139.67/18.91	--comb_res_mult                         1
139.67/18.91	--comb_sup_mult                         1
139.67/18.91	--comb_sup_deep_mult                    1
139.67/18.91	
139.67/18.91	------ Debug Options
139.67/18.91	
139.67/18.91	--dbg_backtrace                         false
139.67/18.91	--dbg_dump_prop_clauses                 false
139.67/18.91	--dbg_dump_prop_clauses_file            -
139.67/18.91	--dbg_out_stat                          false
139.67/18.91	--dbg_just_parse                        false
139.67/18.91	
139.67/18.91	
139.67/18.91	
139.67/18.91	
139.67/18.91	------ Proving...
139.67/18.91	
139.67/18.91	
139.67/18.91	% SZS status Satisfiable for theBenchmark.p
139.67/18.91	
139.67/18.91	------ Building Model...Done
139.67/18.91	
139.67/18.91	%------ The model is defined over ground terms (initial term algebra).
139.67/18.91	%------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
139.67/18.91	%------ where \phi is a formula over the term algebra.
139.67/18.91	%------ If we have equality in the problem then it is also defined as a predicate above, 
139.67/18.91	%------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
139.67/18.91	%------ See help for --sat_out_model for different model outputs.
139.67/18.91	%------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
139.67/18.91	%------ where the first argument stands for the sort ($i in the unsorted case)
139.67/18.91	% SZS output start Model for theBenchmark.p
139.67/18.91	
139.67/18.91	%------ Positive definition of '$ki_accessible' 
139.67/18.91	fof(lit_def,axiom,
139.67/18.91	    (! [X0_'ki_world',X1_'ki_world'] : 
139.67/18.91	      ( '$ki_accessible'(X0_'ki_world',X1_'ki_world') <=>
139.67/18.91	          $true
139.67/18.91	      )
139.67/18.91	    )
139.67/18.91	   ).
139.67/18.91	
139.67/18.91	%------ Positive definition of qmltpeq 
139.67/18.91	fof(lit_def,axiom,
139.67/18.91	    (! [X0_'ki_world',X0,X1] : 
139.67/18.91	      ( qmltpeq(X0_'ki_world',X0,X1) <=>
139.67/18.91	          $true
139.67/18.91	      )
139.67/18.91	    )
139.67/18.91	   ).
139.67/18.91	
139.67/18.91	%------ Positive definition of equal_set 
139.67/18.91	fof(lit_def,axiom,
139.67/18.91	    (! [X0_'ki_world',X0,X1] : 
139.67/18.91	      ( equal_set(X0_'ki_world',X0,X1) <=>
139.67/18.91	           (
139.67/18.91	              (
139.67/18.91	                ( X0!=union(sK68,sK68) | X0_'ki_world'!=sK69 | X1!=sK68 )
139.67/18.91	              )
139.67/18.91	
139.67/18.91	           )
139.67/18.91	      )
139.67/18.91	    )
139.67/18.91	   ).
139.67/18.91	
139.67/18.91	%------ Positive definition of member 
139.67/18.91	fof(lit_def,axiom,
139.67/18.91	    (! [X0_'ki_world',X0,X1] : 
139.67/18.91	      ( member(X0_'ki_world',X0,X1) <=>
139.67/18.91	           (
139.67/18.91	              (
139.67/18.91	                ( X0!=X0 | X0_'ki_world'!=sK13(X0,X0_'ki_world') | X1!=empty_set )
139.67/18.91	               &
139.67/18.91	                ( X0!=X0 | X0_'ki_world'!=sK13(X0,X2_'ki_world') | X1!=empty_set )
139.67/18.91	               &
139.67/18.91	                ( X0!=X0 | X0_'ki_world'!=sK38(X1,X0,X2,X0_'ki_world') | X1!=difference(X1,X2) )
139.67/18.91	               &
139.67/18.91	                ( X0!=X0 | X0_'ki_world'!=sK13(X0,X4_'ki_world') | X1!=empty_set )
139.67/18.91	               &
139.67/18.91	                ( X0!=X0 | X0_'ki_world'!=sK13(X0,X5_'ki_world') | X1!=empty_set )
139.67/18.91	               &
139.67/18.91	                ! [X3] : ( X0!=X0 | X0_'ki_world'!=sK38(X1,X0,X3,X4_'ki_world') | X1!=difference(X1,X3) )
139.67/18.91	               &
139.67/18.91	                ! [X3] : ( X0!=X0 | X0_'ki_world'!=sK38(X1,X0,X3,X2_'ki_world') | X1!=difference(X1,X3) )
139.67/18.91	               &
139.67/18.91	                ( X0!=X0 | X0_'ki_world'!=sK38(X1,X0,X2,X4_'ki_world') | X1!=difference(X1,X2) )
139.67/18.91	               &
139.67/18.91	                ! [X3] : ( X0!=X0 | X0_'ki_world'!=sK38(X1,X0,X3,X5_'ki_world') | X1!=difference(X1,X3) )
139.67/18.91	               &
139.67/18.91	                ! [X3] : ( X0!=X0 | X0_'ki_world'!=sK38(X1,X0,X3,X0_'ki_world') | X1!=difference(X1,X3) )
139.67/18.91	               &
139.67/18.91	                ( X0!=X1 | X0_'ki_world'!=sK13(X1,X0_'ki_world') | X1!=empty_set )
139.67/18.91	               &
139.67/18.91	                ( X0!=X1 | X0_'ki_world'!=sK13(X1,X2_'ki_world') | X1!=empty_set )
139.67/18.91	               &
139.67/18.91	                ( X0!=X1 | X0_'ki_world'!=sK13(X1,X3_'ki_world') | X1!=empty_set )
139.67/18.91	               &
139.67/18.91	                ( X0!=X2 | X0_'ki_world'!=sK38(X1,X2,X0,X0_'ki_world') | X1!=difference(X1,X0) )
139.67/18.91	               &
139.67/18.91	                ( X0!=X2 | X0_'ki_world'!=sK38(X1,X2,X0,X3_'ki_world') | X1!=difference(X1,X0) )
139.67/18.91	               &
139.67/18.91	                ! [X3] : ( X0!=X3 | X0_'ki_world'!=sK38(X1,X3,X0,X2_'ki_world') | X1!=difference(X1,X0) )
139.67/18.91	              )
139.67/18.91	
139.67/18.91	             | 
139.67/18.91	            ? [X2,X1_'ki_world'] : 
139.67/18.91	              (
139.67/18.91	                ( X0=sK33(X1,X2,X1_'ki_world') )
139.67/18.91	               &
139.67/18.91	                ! [X3] : ( X0_'ki_world'!=sK38(X1,sK33(difference(X1,X2),X3,X1_'ki_world'),X2,X0_'ki_world') | X1!=difference(X1,X2) | X1_'ki_world'!=X1_'ki_world' | X2!=X3 )
139.67/18.91	               &
139.67/18.91	                ( X0_'ki_world'!=sK13(sK33(empty_set,X1,X1_'ki_world'),X0_'ki_world') | X1!=empty_set | X1_'ki_world'!=X1_'ki_world' | X2!=X1 )
139.67/18.91	              )
139.67/18.91	
139.67/18.91	             | 
139.67/18.91	            ? [X2] : 
139.67/18.91	              (
139.67/18.91	                ( X1=power_set(X2) )
139.67/18.91	              )
139.67/18.91	
139.67/18.91	             | 
139.67/18.91	            ? [X2] : 
139.67/18.91	              (
139.67/18.91	                ( X1=singleton(X2) )
139.67/18.91	              )
139.67/18.91	
139.67/18.91	             | 
139.67/18.91	            ? [X2] : 
139.67/18.91	              (
139.67/18.91	                ( X1=sum(X2) )
139.67/18.91	              )
139.67/18.91	
139.67/18.91	             | 
139.67/18.91	            ? [X2] : 
139.67/18.91	              (
139.67/18.91	                ( X1=product(X2) )
139.67/18.91	              )
139.67/18.91	
139.67/18.91	             | 
139.67/18.91	            ? [X2,X3] : 
139.67/18.91	              (
139.67/18.91	                ( X1=unordered_pair(X2,X3) )
139.67/18.91	              )
139.67/18.91	
139.67/18.91	             | 
139.67/18.91	            ? [X2,X3] : 
139.67/18.91	              (
139.67/18.91	                ( X1=union(X2,X3) )
139.67/18.91	              )
139.67/18.91	
139.67/18.91	             | 
139.67/18.91	            ? [X2,X3] : 
139.67/18.91	              (
139.67/18.91	                ( X1=intersection(X2,X3) )
139.67/18.91	              )
139.67/18.91	
139.67/18.91	             | 
139.67/18.91	            ? [X2,X3] : 
139.67/18.91	              (
139.67/18.91	                ( X1=difference(X2,X3) )
139.67/18.91	               &
139.67/18.91	                ( X0!=X0 | X0_'ki_world'!=sK38(X2,X0,X3,X3_'ki_world') | X2!=X2 | X3!=X3 )
139.67/18.91	              )
139.67/18.91	
139.67/18.91	             | 
139.67/18.91	            ? [X2,X1_'ki_world'] : 
139.67/18.91	              (
139.67/18.91	                ( X1=sK33(X2,X0,X1_'ki_world') )
139.67/18.91	              )
139.67/18.91	
139.67/18.91	           )
139.67/18.91	      )
139.67/18.91	    )
139.67/18.91	   ).
139.67/18.91	
139.67/18.91	%------ Positive definition of subset 
139.67/18.91	fof(lit_def,axiom,
139.67/18.91	    (! [X0_'ki_world',X0,X1] : 
139.67/18.91	      ( subset(X0_'ki_world',X0,X1) <=>
139.67/18.91	          $true
139.67/18.91	      )
139.67/18.91	    )
139.67/18.91	   ).
139.67/18.91	
139.67/18.91	%------ Positive definition of '$ki_exists_in_world 
139.67/18.91	fof(lit_def,axiom,
139.67/18.91	    (! [X0_'ki_world',X0] : 
139.67/18.91	      ( '$ki_exists_in_world(X0_'ki_world',X0) <=>
139.67/18.91	           (
139.67/18.91	              (
139.67/18.91	                ( X0=sK16(X0_'ki_world') )
139.67/18.91	              )
139.67/18.91	
139.67/18.91	             | 
139.67/18.91	            ? [X1,X2] : 
139.67/18.91	              (
139.67/18.91	                ( X0=sK33(X1,X2,X0_'ki_world') )
139.67/18.91	               &
139.67/18.91	                ( X1!=empty_set )
139.67/18.91	               &
139.67/18.91	                ( X1!=difference(X1,X2) )
139.67/18.91	              )
139.67/18.91	
139.67/18.91	             | 
139.67/18.91	              (
139.67/18.91	                ( X0_'ki_world'=sK67 & X0=sK68 )
139.67/18.91	              )
139.67/18.91	
139.67/18.91	           )
139.67/18.91	      )
139.67/18.91	    )
139.67/18.91	   ).
139.67/18.91	
139.67/18.91	%------ Positive definition of sP0 
139.67/18.91	fof(lit_def,axiom,
139.67/18.91	    (! [X0,X1,X0_'ki_world'] : 
139.67/18.91	      ( sP0(X0,X1,X0_'ki_world') <=>
139.67/18.91	          $true
139.67/18.91	      )
139.67/18.91	    )
139.67/18.91	   ).
139.67/18.91	
139.67/18.91	%------ Positive definition of sP1 
139.67/18.91	fof(lit_def,axiom,
139.67/18.91	    (! [X0,X1,X0_'ki_world'] : 
139.67/18.91	      ( sP1(X0,X1,X0_'ki_world') <=>
139.67/18.91	           (
139.67/18.91	              (
139.67/18.91	                ( X0!=empty_set )
139.67/18.91	               &
139.67/18.91	                ! [X2] : ( X0!=difference(X0,X2) )
139.67/18.91	              )
139.67/18.91	
139.67/18.91	           )
139.67/18.91	      )
139.67/18.91	    )
139.67/18.91	   ).
139.67/18.91	
139.67/18.91	%------ Positive definition of sP2 
139.67/18.91	fof(lit_def,axiom,
139.67/18.91	    (! [X0,X1,X2,X0_'ki_world'] : 
139.67/18.91	      ( sP2(X0,X1,X2,X0_'ki_world') <=>
139.67/18.91	           (
139.67/18.91	              (
139.67/18.91	                ! [X3_'ki_world'] : ( X0!=X0 | X1!=sK33(difference(X0,X2),X1,X3_'ki_world') | X2!=X2 )
139.67/18.91	               &
139.67/18.91	                ( X0!=empty_set )
139.67/18.91	               &
139.67/18.91	                ( X0!=difference(X0,X1) )
139.67/18.91	              )
139.67/18.91	
139.67/18.91	           )
139.67/18.91	      )
139.67/18.91	    )
139.67/18.91	   ).
139.67/18.91	
139.67/18.91	%------ Positive definition of sP3 
139.67/18.91	fof(lit_def,axiom,
139.67/18.91	    (! [X0,X1,X0_'ki_world'] : 
139.67/18.91	      ( sP3(X0,X1,X0_'ki_world') <=>
139.67/18.91	          $true
139.67/18.91	      )
139.67/18.91	    )
139.67/18.91	   ).
139.67/18.91	% SZS output end Model for theBenchmark.p
139.67/18.91	
139.70/18.97	EOF