TSTP Solution File: PUZ072-1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : PUZ072-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n021.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  : 600s
% DateTime : Mon Jul 18 18:14:38 EDT 2022

% Result   : Unknown 253.18s 253.42s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PUZ072-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12  % Command  : iprover_modulo %s %d
% 0.12/0.33  % Computer : n021.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sat May 28 21:48:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.12/0.34  % Running in mono-core mode
% 0.18/0.40  % Orienting using strategy Equiv(ClausalAll)
% 0.18/0.40  % Orientation found
% 0.18/0.40  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_48631f.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_a1c65a.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_edee14 | grep -v "SZS"
% 0.18/0.43  
% 0.18/0.43  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.18/0.43  
% 0.18/0.43  % 
% 0.18/0.43  % ------  iProver source info 
% 0.18/0.43  
% 0.18/0.43  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.18/0.43  % git: non_committed_changes: true
% 0.18/0.43  % git: last_make_outside_of_git: true
% 0.18/0.43  
% 0.18/0.43  % 
% 0.18/0.43  % ------ Input Options
% 0.18/0.43  
% 0.18/0.43  % --out_options                         all
% 0.18/0.43  % --tptp_safe_out                       true
% 0.18/0.43  % --problem_path                        ""
% 0.18/0.43  % --include_path                        ""
% 0.18/0.43  % --clausifier                          .//eprover
% 0.18/0.43  % --clausifier_options                  --tstp-format  
% 0.18/0.43  % --stdin                               false
% 0.18/0.43  % --dbg_backtrace                       false
% 0.18/0.43  % --dbg_dump_prop_clauses               false
% 0.18/0.43  % --dbg_dump_prop_clauses_file          -
% 0.18/0.43  % --dbg_out_stat                        false
% 0.18/0.43  
% 0.18/0.43  % ------ General Options
% 0.18/0.43  
% 0.18/0.43  % --fof                                 false
% 0.18/0.43  % --time_out_real                       150.
% 0.18/0.43  % --time_out_prep_mult                  0.2
% 0.18/0.43  % --time_out_virtual                    -1.
% 0.18/0.43  % --schedule                            none
% 0.18/0.43  % --ground_splitting                    input
% 0.18/0.43  % --splitting_nvd                       16
% 0.18/0.43  % --non_eq_to_eq                        false
% 0.18/0.43  % --prep_gs_sim                         true
% 0.18/0.43  % --prep_unflatten                      false
% 0.18/0.43  % --prep_res_sim                        true
% 0.18/0.43  % --prep_upred                          true
% 0.18/0.43  % --res_sim_input                       true
% 0.18/0.43  % --clause_weak_htbl                    true
% 0.18/0.43  % --gc_record_bc_elim                   false
% 0.18/0.43  % --symbol_type_check                   false
% 0.18/0.43  % --clausify_out                        false
% 0.18/0.43  % --large_theory_mode                   false
% 0.18/0.43  % --prep_sem_filter                     none
% 0.18/0.43  % --prep_sem_filter_out                 false
% 0.18/0.43  % --preprocessed_out                    false
% 0.18/0.43  % --sub_typing                          false
% 0.18/0.43  % --brand_transform                     false
% 0.18/0.43  % --pure_diseq_elim                     true
% 0.18/0.43  % --min_unsat_core                      false
% 0.18/0.43  % --pred_elim                           true
% 0.18/0.43  % --add_important_lit                   false
% 0.18/0.43  % --soft_assumptions                    false
% 0.18/0.43  % --reset_solvers                       false
% 0.18/0.43  % --bc_imp_inh                          []
% 0.18/0.43  % --conj_cone_tolerance                 1.5
% 0.18/0.43  % --prolific_symb_bound                 500
% 0.18/0.43  % --lt_threshold                        2000
% 0.18/0.43  
% 0.18/0.43  % ------ SAT Options
% 0.18/0.43  
% 0.18/0.43  % --sat_mode                            false
% 0.18/0.43  % --sat_fm_restart_options              ""
% 0.18/0.43  % --sat_gr_def                          false
% 0.18/0.43  % --sat_epr_types                       true
% 0.18/0.43  % --sat_non_cyclic_types                false
% 0.18/0.43  % --sat_finite_models                   false
% 0.18/0.43  % --sat_fm_lemmas                       false
% 0.18/0.43  % --sat_fm_prep                         false
% 0.18/0.43  % --sat_fm_uc_incr                      true
% 0.18/0.43  % --sat_out_model                       small
% 0.18/0.43  % --sat_out_clauses                     false
% 0.18/0.43  
% 0.18/0.43  % ------ QBF Options
% 0.18/0.43  
% 0.18/0.43  % --qbf_mode                            false
% 0.18/0.43  % --qbf_elim_univ                       true
% 0.18/0.43  % --qbf_sk_in                           true
% 0.18/0.43  % --qbf_pred_elim                       true
% 0.18/0.43  % --qbf_split                           32
% 0.18/0.43  
% 0.18/0.43  % ------ BMC1 Options
% 0.18/0.43  
% 0.18/0.43  % --bmc1_incremental                    false
% 0.18/0.43  % --bmc1_axioms                         reachable_all
% 0.18/0.43  % --bmc1_min_bound                      0
% 0.18/0.43  % --bmc1_max_bound                      -1
% 0.18/0.43  % --bmc1_max_bound_default              -1
% 0.18/0.43  % --bmc1_symbol_reachability            true
% 0.18/0.43  % --bmc1_property_lemmas                false
% 0.18/0.43  % --bmc1_k_induction                    false
% 0.18/0.43  % --bmc1_non_equiv_states               false
% 0.18/0.43  % --bmc1_deadlock                       false
% 0.18/0.43  % --bmc1_ucm                            false
% 0.18/0.43  % --bmc1_add_unsat_core                 none
% 0.18/0.43  % --bmc1_unsat_core_children            false
% 0.18/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.18/0.43  % --bmc1_out_stat                       full
% 0.18/0.43  % --bmc1_ground_init                    false
% 0.18/0.43  % --bmc1_pre_inst_next_state            false
% 0.18/0.43  % --bmc1_pre_inst_state                 false
% 0.18/0.43  % --bmc1_pre_inst_reach_state           false
% 0.18/0.43  % --bmc1_out_unsat_core                 false
% 0.18/0.43  % --bmc1_aig_witness_out                false
% 0.18/0.43  % --bmc1_verbose                        false
% 0.18/0.43  % --bmc1_dump_clauses_tptp              false
% 0.18/0.54  % --bmc1_dump_unsat_core_tptp           false
% 0.18/0.54  % --bmc1_dump_file                      -
% 0.18/0.54  % --bmc1_ucm_expand_uc_limit            128
% 0.18/0.54  % --bmc1_ucm_n_expand_iterations        6
% 0.18/0.54  % --bmc1_ucm_extend_mode                1
% 0.18/0.54  % --bmc1_ucm_init_mode                  2
% 0.18/0.54  % --bmc1_ucm_cone_mode                  none
% 0.18/0.54  % --bmc1_ucm_reduced_relation_type      0
% 0.18/0.54  % --bmc1_ucm_relax_model                4
% 0.18/0.54  % --bmc1_ucm_full_tr_after_sat          true
% 0.18/0.54  % --bmc1_ucm_expand_neg_assumptions     false
% 0.18/0.54  % --bmc1_ucm_layered_model              none
% 0.18/0.54  % --bmc1_ucm_max_lemma_size             10
% 0.18/0.54  
% 0.18/0.54  % ------ AIG Options
% 0.18/0.54  
% 0.18/0.54  % --aig_mode                            false
% 0.18/0.54  
% 0.18/0.54  % ------ Instantiation Options
% 0.18/0.54  
% 0.18/0.54  % --instantiation_flag                  true
% 0.18/0.54  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.18/0.54  % --inst_solver_per_active              750
% 0.18/0.54  % --inst_solver_calls_frac              0.5
% 0.18/0.54  % --inst_passive_queue_type             priority_queues
% 0.18/0.54  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.18/0.54  % --inst_passive_queues_freq            [25;2]
% 0.18/0.54  % --inst_dismatching                    true
% 0.18/0.54  % --inst_eager_unprocessed_to_passive   true
% 0.18/0.54  % --inst_prop_sim_given                 true
% 0.18/0.54  % --inst_prop_sim_new                   false
% 0.18/0.54  % --inst_orphan_elimination             true
% 0.18/0.54  % --inst_learning_loop_flag             true
% 0.18/0.54  % --inst_learning_start                 3000
% 0.18/0.54  % --inst_learning_factor                2
% 0.18/0.54  % --inst_start_prop_sim_after_learn     3
% 0.18/0.54  % --inst_sel_renew                      solver
% 0.18/0.54  % --inst_lit_activity_flag              true
% 0.18/0.54  % --inst_out_proof                      true
% 0.18/0.54  
% 0.18/0.54  % ------ Resolution Options
% 0.18/0.54  
% 0.18/0.54  % --resolution_flag                     true
% 0.18/0.54  % --res_lit_sel                         kbo_max
% 0.18/0.54  % --res_to_prop_solver                  none
% 0.18/0.54  % --res_prop_simpl_new                  false
% 0.18/0.54  % --res_prop_simpl_given                false
% 0.18/0.54  % --res_passive_queue_type              priority_queues
% 0.18/0.54  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.18/0.54  % --res_passive_queues_freq             [15;5]
% 0.18/0.54  % --res_forward_subs                    full
% 0.18/0.54  % --res_backward_subs                   full
% 0.18/0.54  % --res_forward_subs_resolution         true
% 0.18/0.54  % --res_backward_subs_resolution        true
% 0.18/0.54  % --res_orphan_elimination              false
% 0.18/0.54  % --res_time_limit                      1000.
% 0.18/0.54  % --res_out_proof                       true
% 0.18/0.54  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_48631f.s
% 0.18/0.54  % --modulo                              true
% 0.18/0.54  
% 0.18/0.54  % ------ Combination Options
% 0.18/0.54  
% 0.18/0.54  % --comb_res_mult                       1000
% 0.18/0.54  % --comb_inst_mult                      300
% 0.18/0.54  % ------ 
% 0.18/0.54  
% 0.18/0.54  % ------ Parsing...% successful
% 0.18/0.54  
% 0.18/0.54  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe:1:0s pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.18/0.54  
% 0.18/0.54  % ------ Proving...
% 0.18/0.54  % ------ Problem Properties 
% 0.18/0.54  
% 0.18/0.54  % 
% 0.18/0.54  % EPR                                   false
% 0.18/0.54  % Horn                                  false
% 0.18/0.54  % Has equality                          true
% 0.18/0.54  
% 0.18/0.54  % % ------ Input Options Time Limit: Unbounded
% 0.18/0.55  
% 0.18/0.55  
% 0.18/0.55  % % ------ Current options:
% 0.18/0.55  
% 0.18/0.55  % ------ Input Options
% 0.18/0.55  
% 0.18/0.55  % --out_options                         all
% 0.18/0.55  % --tptp_safe_out                       true
% 0.18/0.55  % --problem_path                        ""
% 0.18/0.55  % --include_path                        ""
% 0.18/0.55  % --clausifier                          .//eprover
% 0.18/0.55  % --clausifier_options                  --tstp-format  
% 0.18/0.55  % --stdin                               false
% 0.18/0.55  % --dbg_backtrace                       false
% 0.18/0.55  % --dbg_dump_prop_clauses               false
% 0.18/0.55  % --dbg_dump_prop_clauses_file          -
% 0.18/0.55  % --dbg_out_stat                        false
% 0.18/0.55  
% 0.18/0.55  % ------ General Options
% 0.18/0.55  
% 0.18/0.55  % --fof                                 false
% 0.18/0.55  % --time_out_real                       150.
% 0.18/0.55  % --time_out_prep_mult                  0.2
% 0.18/0.55  % --time_out_virtual                    -1.
% 0.18/0.55  % --schedule                            none
% 0.18/0.55  % --ground_splitting                    input
% 0.18/0.55  % --splitting_nvd                       16
% 0.18/0.55  % --non_eq_to_eq                        false
% 0.18/0.55  % --prep_gs_sim                         true
% 0.18/0.55  % --prep_unflatten                      false
% 0.18/0.55  % --prep_res_sim                        true
% 0.18/0.55  % --prep_upred                          true
% 0.18/0.55  % --res_sim_input                       true
% 0.18/0.55  % --clause_weak_htbl                    true
% 0.18/0.55  % --gc_record_bc_elim                   false
% 0.18/0.55  % --symbol_type_check                   false
% 0.18/0.55  % --clausify_out                        false
% 0.18/0.55  % --large_theory_mode                   false
% 0.18/0.55  % --prep_sem_filter                     none
% 0.18/0.55  % --prep_sem_filter_out                 false
% 0.18/0.55  % --preprocessed_out                    false
% 0.18/0.55  % --sub_typing                          false
% 0.18/0.55  % --brand_transform                     false
% 0.18/0.55  % --pure_diseq_elim                     true
% 0.18/0.55  % --min_unsat_core                      false
% 0.18/0.55  % --pred_elim                           true
% 0.18/0.55  % --add_important_lit                   false
% 0.18/0.55  % --soft_assumptions                    false
% 0.18/0.55  % --reset_solvers                       false
% 0.18/0.55  % --bc_imp_inh                          []
% 0.18/0.55  % --conj_cone_tolerance                 1.5
% 0.18/0.55  % --prolific_symb_bound                 500
% 0.18/0.55  % --lt_threshold                        2000
% 0.18/0.55  
% 0.18/0.55  % ------ SAT Options
% 0.18/0.55  
% 0.18/0.55  % --sat_mode                            false
% 0.18/0.55  % --sat_fm_restart_options              ""
% 0.18/0.55  % --sat_gr_def                          false
% 0.18/0.55  % --sat_epr_types                       true
% 0.18/0.55  % --sat_non_cyclic_types                false
% 0.18/0.55  % --sat_finite_models                   false
% 0.18/0.55  % --sat_fm_lemmas                       false
% 0.18/0.55  % --sat_fm_prep                         false
% 0.18/0.55  % --sat_fm_uc_incr                      true
% 0.18/0.55  % --sat_out_model                       small
% 0.18/0.55  % --sat_out_clauses                     false
% 0.18/0.55  
% 0.18/0.55  % ------ QBF Options
% 0.18/0.55  
% 0.18/0.55  % --qbf_mode                            false
% 0.18/0.55  % --qbf_elim_univ                       true
% 0.18/0.55  % --qbf_sk_in                           true
% 0.18/0.55  % --qbf_pred_elim                       true
% 0.18/0.55  % --qbf_split                           32
% 0.18/0.55  
% 0.18/0.55  % ------ BMC1 Options
% 0.18/0.55  
% 0.18/0.55  % --bmc1_incremental                    false
% 0.18/0.55  % --bmc1_axioms                         reachable_all
% 0.18/0.55  % --bmc1_min_bound                      0
% 0.18/0.55  % --bmc1_max_bound                      -1
% 0.18/0.55  % --bmc1_max_bound_default              -1
% 0.18/0.55  % --bmc1_symbol_reachability            true
% 0.18/0.55  % --bmc1_property_lemmas                false
% 0.18/0.55  % --bmc1_k_induction                    false
% 0.18/0.55  % --bmc1_non_equiv_states               false
% 0.18/0.55  % --bmc1_deadlock                       false
% 0.18/0.55  % --bmc1_ucm                            false
% 0.18/0.55  % --bmc1_add_unsat_core                 none
% 0.18/0.55  % --bmc1_unsat_core_children            false
% 0.18/0.55  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.18/0.55  % --bmc1_out_stat                       full
% 0.18/0.55  % --bmc1_ground_init                    false
% 0.18/0.55  % --bmc1_pre_inst_next_state            false
% 0.18/0.55  % --bmc1_pre_inst_state                 false
% 0.18/0.55  % --bmc1_pre_inst_reach_state           false
% 0.18/0.55  % --bmc1_out_unsat_core                 false
% 0.18/0.55  % --bmc1_aig_witness_out                false
% 0.18/0.55  % --bmc1_verbose                        false
% 0.18/0.55  % --bmc1_dump_clauses_tptp              false
% 0.18/0.55  % --bmc1_dump_unsat_core_tptp           false
% 0.18/0.55  % --bmc1_dump_file                      -
% 0.18/0.55  % --bmc1_ucm_expand_uc_limit            128
% 0.18/0.55  % --bmc1_ucm_n_expand_iterations        6
% 0.18/0.55  % --bmc1_ucm_extend_mode                1
% 0.18/0.55  % --bmc1_ucm_init_mode                  2
% 0.18/0.55  % --bmc1_ucm_cone_mode                  none
% 0.18/0.55  % --bmc1_ucm_reduced_relation_type      0
% 0.18/0.55  % --bmc1_ucm_relax_model                4
% 0.18/0.55  % --bmc1_ucm_full_tr_after_sat          true
% 0.18/0.55  % --bmc1_ucm_expand_neg_assumptions     false
% 0.18/0.55  % --bmc1_ucm_layered_model              none
% 0.18/0.55  % --bmc1_ucm_max_lemma_size             10
% 0.18/0.55  
% 0.18/0.55  % ------ AIG Options
% 0.18/0.55  
% 0.18/0.55  % --aig_mode                            false
% 0.18/0.55  
% 0.18/0.55  % ------ Instantiation Options
% 0.18/0.55  
% 0.18/0.55  % --instantiation_flag                  true
% 0.18/0.55  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.18/0.55  % --inst_solver_per_active              750
% 0.18/0.55  % --inst_solver_calls_frac              0.5
% 0.18/0.55  % --inst_passive_queue_type             priority_queues
% 0.18/0.55  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.18/0.55  % --inst_passive_queues_freq            [25;2]
% 0.18/0.55  % --inst_dismatching                    true
% 0.18/0.55  % --inst_eager_unprocessed_to_passive   true
% 0.18/0.55  % --inst_prop_sim_given                 true
% 103.10/103.37  % --inst_prop_sim_new                   false
% 103.10/103.37  % --inst_orphan_elimination             true
% 103.10/103.37  % --inst_learning_loop_flag             true
% 103.10/103.37  % --inst_learning_start                 3000
% 103.10/103.37  % --inst_learning_factor                2
% 103.10/103.37  % --inst_start_prop_sim_after_learn     3
% 103.10/103.37  % --inst_sel_renew                      solver
% 103.10/103.37  % --inst_lit_activity_flag              true
% 103.10/103.37  % --inst_out_proof                      true
% 103.10/103.37  
% 103.10/103.37  % ------ Resolution Options
% 103.10/103.37  
% 103.10/103.37  % --resolution_flag                     true
% 103.10/103.37  % --res_lit_sel                         kbo_max
% 103.10/103.37  % --res_to_prop_solver                  none
% 103.10/103.37  % --res_prop_simpl_new                  false
% 103.10/103.37  % --res_prop_simpl_given                false
% 103.10/103.37  % --res_passive_queue_type              priority_queues
% 103.10/103.37  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 103.10/103.37  % --res_passive_queues_freq             [15;5]
% 103.10/103.37  % --res_forward_subs                    full
% 103.10/103.37  % --res_backward_subs                   full
% 103.10/103.37  % --res_forward_subs_resolution         true
% 103.10/103.37  % --res_backward_subs_resolution        true
% 103.10/103.37  % --res_orphan_elimination              false
% 103.10/103.37  % --res_time_limit                      1000.
% 103.10/103.37  % --res_out_proof                       true
% 103.10/103.37  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_48631f.s
% 103.10/103.37  % --modulo                              true
% 103.10/103.37  
% 103.10/103.37  % ------ Combination Options
% 103.10/103.37  
% 103.10/103.37  % --comb_res_mult                       1000
% 103.10/103.37  % --comb_inst_mult                      300
% 103.10/103.37  % ------ 
% 103.10/103.37  
% 103.10/103.37  
% 103.10/103.37  
% 103.10/103.37  % ------ Proving...
% 103.10/103.37  % warning:  shown sat in sat incomplete mode 
% 103.10/103.37  % 
% 103.10/103.37  
% 103.10/103.37  
% 103.10/103.37  ------ Building Model...Done
% 103.10/103.37  
% 103.10/103.37  %------ The model is defined over ground terms (initial term algebra).
% 103.10/103.37  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 103.10/103.37  %------ where \phi is a formula over the term algebra.
% 103.10/103.37  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 103.10/103.37  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 103.10/103.37  %------ See help for --sat_out_model for different model outputs.
% 103.10/103.37  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 103.10/103.37  %------ where the first argument stands for the sort ($i in the unsorted case)
% 103.10/103.37  
% 103.10/103.37  
% 103.10/103.37  
% 103.10/103.37  
% 103.10/103.37  %------ Negative definition of equality_sorted 
% 103.10/103.37  fof(lit_def,axiom,
% 103.10/103.37      (! [X0,X0,X1] : 
% 103.10/103.37        ( ~(equality_sorted(X0,X0,X1)) <=>
% 103.10/103.37             (
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(n0) & X1=s(s(n0)) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(n0) & X1=s(s(s(n0))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(n0) & X1=s(s(s(s(n0)))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(n0) & X1=s(s(s(s(s(n0))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(n0) & X1=s(s(s(s(s(s(n0)))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(n0) & X1=s(s(s(s(s(s(s(n0))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(n0) & X1=s(s(s(s(s(s(s(s(n0)))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(n0) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(n0)) & X1=s(s(s(n0))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(n0)) & X1=s(s(s(s(n0)))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(n0)) & X1=s(s(s(s(s(n0))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(n0)) & X1=s(s(s(s(s(s(n0)))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(n0)) & X1=s(s(s(s(s(s(s(n0))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(n0)) & X1=s(s(s(s(s(s(s(s(n0)))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(n0)) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(n0))) & X1=s(s(s(s(n0)))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(n0))) & X1=s(s(s(s(s(n0))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(n0))) & X1=s(s(s(s(s(s(n0)))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(n0))) & X1=s(s(s(s(s(s(s(n0))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(n0))) & X1=s(s(s(s(s(s(s(s(n0)))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(n0))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(s(n0)))) & X1=s(s(s(s(s(n0))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(s(n0)))) & X1=s(s(s(s(s(s(n0)))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(s(n0)))) & X1=s(s(s(s(s(s(s(n0))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(s(n0)))) & X1=s(s(s(s(s(s(s(s(n0)))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(s(n0)))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(s(s(n0))))) & X1=s(s(s(s(s(s(n0)))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(s(s(n0))))) & X1=s(s(s(s(s(s(s(n0))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(s(s(n0))))) & X1=s(s(s(s(s(s(s(s(n0)))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(s(s(n0))))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(s(s(s(s(n0))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(s(s(s(s(s(n0)))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(s(s(s(s(s(s(n0)))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=$i & X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37             )
% 103.10/103.37        )
% 103.10/103.37      )
% 103.10/103.37     ).
% 103.10/103.37  
% 103.10/103.37  %------ Positive definition of el 
% 103.10/103.37  fof(lit_def,axiom,
% 103.10/103.37      (! [X0,X1,X2] : 
% 103.10/103.37        ( el(X0,X1,X2) <=>
% 103.10/103.37             (
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(n0) & X1=s(n0) & X2=s(s(s(n0))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(n0) & X1=s(s(n0)) & X2=s(n0) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(n0) & X1=s(s(s(n0))) & X2=s(s(s(s(s(s(s(s(n0)))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(n0) & X1=s(s(s(s(n0)))) & X2=s(s(s(s(n0)))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(n0) & X1=s(s(s(s(s(n0))))) & X2=s(s(s(s(s(n0))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(n0) & X1=s(s(s(s(s(s(n0)))))) & X2=s(s(s(s(s(s(n0)))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(n0) & X1=s(s(s(s(s(s(s(n0))))))) & X2=s(s(n0)) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(n0) & X1=s(s(s(s(s(s(s(s(n0)))))))) & X2=s(s(s(s(s(s(s(n0))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(n0) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) & X2=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(n0)) & X1=s(n0) & X2=s(s(n0)) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(n0)) & X1=s(s(n0)) & X2=s(s(s(s(s(s(n0)))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(n0)) & X1=s(s(s(n0))) & X2=s(s(s(s(s(s(s(n0))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(n0)) & X1=s(s(s(s(n0)))) & X2=s(s(s(n0))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(n0)) & X1=s(s(s(s(s(n0))))) & X2=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(n0)) & X1=s(s(s(s(s(s(n0)))))) & X2=s(n0) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(n0)) & X1=s(s(s(s(s(s(s(n0))))))) & X2=s(s(s(s(s(s(s(s(n0)))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(n0)) & X1=s(s(s(s(s(s(s(s(n0)))))))) & X2=s(s(s(s(n0)))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(n0)) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) & X2=s(s(s(s(s(n0))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(n0))) & X1=s(n0) & X2=s(s(s(s(n0)))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(n0))) & X1=s(s(n0)) & X2=s(s(s(s(s(n0))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(n0))) & X1=s(s(s(n0))) & X2=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(n0))) & X1=s(s(s(s(n0)))) & X2=s(s(n0)) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(n0))) & X1=s(s(s(s(s(n0))))) & X2=s(s(s(s(s(s(s(s(n0)))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(n0))) & X1=s(s(s(s(s(s(n0)))))) & X2=s(s(s(s(s(s(s(n0))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(n0))) & X1=s(s(s(s(s(s(s(n0))))))) & X2=s(s(s(s(s(s(n0)))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(n0))) & X1=s(s(s(s(s(s(s(s(n0)))))))) & X2=s(n0) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(n0))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) & X2=s(s(s(n0))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(n0)))) & X1=s(n0) & X2=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(n0)))) & X1=s(s(n0)) & X2=s(s(s(s(s(s(s(s(n0)))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(n0)))) & X1=s(s(s(n0))) & X2=s(s(s(s(s(s(n0)))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(n0)))) & X1=s(s(s(s(n0)))) & X2=s(s(s(s(s(n0))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(n0)))) & X1=s(s(s(s(s(n0))))) & X2=s(n0) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(n0)))) & X1=s(s(s(s(s(s(n0)))))) & X2=s(s(n0)) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(n0)))) & X1=s(s(s(s(s(s(s(n0))))))) & X2=s(s(s(s(n0)))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(n0)))) & X1=s(s(s(s(s(s(s(s(n0)))))))) & X2=s(s(s(n0))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(n0)))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) & X2=s(s(s(s(s(s(s(n0))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(n0))))) & X1=s(n0) & X2=s(s(s(s(s(s(s(n0))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(n0))))) & X1=s(s(n0)) & X2=s(s(n0)) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(n0))))) & X1=s(s(s(n0))) & X2=s(s(s(n0))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(n0))))) & X1=s(s(s(s(n0)))) & X2=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(n0))))) & X1=s(s(s(s(s(n0))))) & X2=s(s(s(s(s(s(n0)))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(n0))))) & X1=s(s(s(s(s(s(n0)))))) & X2=s(s(s(s(n0)))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(n0))))) & X1=s(s(s(s(s(s(s(n0))))))) & X2=s(s(s(s(s(n0))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(n0))))) & X1=s(s(s(s(s(s(s(s(n0)))))))) & X2=s(s(s(s(s(s(s(s(n0)))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(n0))))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) & X2=s(n0) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(n0)))))) & X1=s(n0) & X2=s(s(s(s(s(n0))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(n0)))))) & X1=s(s(n0)) & X2=s(s(s(s(n0)))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(n0))) & X2=s(n0) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(s(n0)))) & X2=s(s(s(s(s(s(s(s(n0)))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(s(s(n0))))) & X2=s(s(s(s(s(s(s(n0))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(s(s(s(n0)))))) & X2=s(s(s(n0))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(s(s(s(s(n0))))))) & X2=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(s(s(s(s(s(n0)))))))) & X2=s(s(s(s(s(s(n0)))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) & X2=s(s(n0)) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(n0))))))) & X1=s(n0) & X2=s(s(s(s(s(s(s(s(n0)))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(n0)) & X2=s(s(s(s(s(s(s(n0))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(s(n0))) & X2=s(s(n0)) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(s(s(n0)))) & X2=s(s(s(s(s(s(n0)))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(s(s(s(n0))))) & X2=s(s(s(n0))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(s(s(s(s(n0)))))) & X2=s(s(s(s(s(n0))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(s(s(s(s(s(n0))))))) & X2=s(n0) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(s(s(s(s(s(s(n0)))))))) & X2=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) & X2=s(s(s(s(n0)))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(n0) & X2=s(s(s(s(s(s(n0)))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(n0)) & X2=s(s(s(n0))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(s(n0))) & X2=s(s(s(s(s(n0))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(s(s(n0)))) & X2=s(n0) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(s(s(s(n0))))) & X2=s(s(s(s(n0)))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(s(s(s(s(n0)))))) & X2=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(s(s(s(s(s(n0))))))) & X2=s(s(s(s(s(s(s(n0))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(s(s(s(s(s(s(n0)))))))) & X2=s(s(n0)) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) & X2=s(s(s(s(s(s(s(s(n0)))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(n0) & X2=s(n0) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(s(n0)) & X2=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(s(s(n0))) & X2=s(s(s(s(n0)))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(s(s(s(n0)))) & X2=s(s(s(s(s(s(s(n0))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(s(s(s(s(n0))))) & X2=s(s(n0)) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(s(s(s(s(s(n0)))))) & X2=s(s(s(s(s(s(s(s(n0)))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(s(s(s(s(s(s(n0))))))) & X2=s(s(s(n0))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(s(s(s(s(s(s(s(n0)))))))) & X2=s(s(s(s(s(n0))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) & X2=s(s(s(s(s(s(n0)))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37             )
% 103.10/103.37        )
% 103.10/103.37      )
% 103.10/103.37     ).
% 103.10/103.37  
% 103.10/103.37  %------ Positive definition of dom 
% 103.10/103.37  fof(lit_def,axiom,
% 103.10/103.37      (! [X0] : 
% 103.10/103.37        ( dom(X0) <=>
% 103.10/103.37             (
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(n0) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(n0)) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(n0))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(n0)))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(n0))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(n0)))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(n0))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(n0)))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37               | 
% 103.10/103.37                (
% 103.10/103.37                  ( X0=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 103.10/103.37                )
% 103.10/103.37  
% 103.10/103.37             )
% 103.10/103.37        )
% 103.10/103.37      )
% 103.10/103.37     ).
% 103.10/103.37  
% 103.10/103.37  
% 103.10/103.37  
% 103.10/103.37  % ------                             Statistics
% 103.10/103.37  
% 103.10/103.37  % ------ General
% 103.10/103.37  
% 103.10/103.37  % num_of_input_clauses:                 112
% 103.10/103.37  % num_of_input_neg_conjectures:         0
% 103.10/103.37  % num_of_splits:                        0
% 103.10/103.37  % num_of_split_atoms:                   0
% 103.10/103.37  % num_of_sem_filtered_clauses:          0
% 103.10/103.37  % num_of_subtypes:                      0
% 103.10/103.37  % monotx_restored_types:                0
% 103.10/103.37  % sat_num_of_epr_types:                 0
% 103.10/103.37  % sat_num_of_non_cyclic_types:          0
% 103.10/103.37  % sat_guarded_non_collapsed_types:      0
% 103.10/103.37  % is_epr:                               0
% 103.10/103.37  % is_horn:                              0
% 103.10/103.37  % has_eq:                               1
% 103.10/103.37  % num_pure_diseq_elim:                  0
% 103.10/103.37  % simp_replaced_by:                     0
% 103.10/103.37  % res_preprocessed:                     30
% 103.10/103.37  % prep_upred:                           0
% 103.10/103.37  % prep_unflattend:                      342
% 103.10/103.37  % pred_elim_cands:                      3
% 103.10/103.37  % pred_elim:                            1
% 103.10/103.37  % pred_elim_cl:                         -143
% 103.10/103.37  % pred_elim_cycles:                     2
% 103.10/103.37  % forced_gc_time:                       0
% 103.10/103.37  % gc_basic_clause_elim:                 0
% 103.10/103.37  % parsing_time:                         0.008
% 103.10/103.37  % sem_filter_time:                      0.
% 103.10/103.37  % pred_elim_time:                       0.094
% 103.10/103.37  % out_proof_time:                       0.
% 103.10/103.37  % monotx_time:                          0.
% 103.10/103.37  % subtype_inf_time:                     0.
% 103.10/103.37  % unif_index_cands_time:                0.055
% 103.10/103.37  % unif_index_add_time:                  0.043
% 103.10/103.37  % total_time:                           102.955
% 103.10/103.37  % num_of_symbols:                       30
% 103.10/103.37  % num_of_terms:                         3178
% 103.10/103.37  
% 103.10/103.37  % ------ Propositional Solver
% 103.10/103.37  
% 103.10/103.37  % prop_solver_calls:                    25
% 103.10/103.37  % prop_fast_solver_calls:               606
% 103.10/103.37  % prop_num_of_clauses:                  8609
% 103.10/103.37  % prop_preprocess_simplified:           15319
% 103.10/103.37  % prop_fo_subsumed:                     0
% 103.10/103.37  % prop_solver_time:                     0.003
% 103.10/103.37  % prop_fast_solver_time:                0.
% 103.10/103.37  % prop_unsat_core_time:                 0.
% 103.10/103.37  
% 103.10/103.37  % ------ QBF 
% 103.10/103.37  
% 103.10/103.37  % qbf_q_res:                            0
% 103.10/103.37  % qbf_num_tautologies:                  0
% 103.10/103.37  % qbf_prep_cycles:                      0
% 103.10/103.37  
% 103.10/103.37  % ------ BMC1
% 103.10/103.37  
% 103.10/103.37  % bmc1_current_bound:                   -1
% 103.10/103.37  % bmc1_last_solved_bound:               -1
% 103.10/103.37  % bmc1_unsat_core_size:                 -1
% 103.10/103.37  % bmc1_unsat_core_parents_size:         -1
% 103.10/103.37  % bmc1_merge_next_fun:                  0
% 103.10/103.37  % bmc1_unsat_core_clauses_time:         0.
% 103.10/103.37  
% 103.10/103.37  % ------ Instantiation
% 103.10/103.37  
% 103.10/103.37  % inst_num_of_clauses:                  4502
% 103.10/103.37  % inst_num_in_passive:                  0
% 103.10/103.37  % inst_num_in_active:                   4502
% 103.10/103.37  % inst_num_in_unprocessed:              0
% 103.10/103.37  % inst_num_of_loops:                    5512
% 103.10/103.37  % inst_num_of_learning_restarts:        1
% 103.10/103.37  % inst_num_moves_active_passive:        1008
% 103.10/103.37  % inst_lit_activity:                    273
% 103.10/103.37  % inst_lit_activity_moves:              0
% 103.10/103.37  % inst_num_tautologies:                 0
% 103.10/103.37  % inst_num_prop_implied:                0
% 103.10/103.37  % inst_num_existing_simplified:         0
% 103.10/103.37  % inst_num_eq_res_simplified:           0
% 103.10/103.37  % inst_num_child_elim:                  0
% 103.10/103.37  % inst_num_of_dismatching_blockings:    0
% 103.10/103.37  % inst_num_of_non_proper_insts:         5664
% 103.10/103.37  % inst_num_of_duplicates:               1016
% 103.10/103.37  % inst_inst_num_from_inst_to_res:       0
% 103.10/103.37  % inst_dismatching_checking_time:       0.02
% 103.10/103.37  
% 103.10/103.37  % ------ Resolution
% 103.10/103.37  
% 103.10/103.37  % res_num_of_clauses:                   46046
% 103.10/103.37  % res_num_in_passive:                   37964
% 103.10/103.37  % res_num_in_active:                    8305
% 103.10/103.37  % res_num_of_loops:                     29000
% 103.10/103.37  % res_forward_subset_subsumed:          18511
% 103.10/103.37  % res_backward_subset_subsumed:         753
% 103.10/103.37  % res_forward_subsumed:                 19228
% 103.10/103.37  % res_backward_subsumed:                1123
% 103.10/103.37  % res_forward_subsumption_resolution:   9001
% 103.10/103.37  % res_backward_subsumption_resolution:  15
% 103.10/103.37  % res_clause_to_clause_subsumption:     9616541
% 103.10/103.37  % res_orphan_elimination:               0
% 103.10/103.37  % res_tautology_del:                    29421
% 103.10/103.37  % res_num_eq_res_simplified:            0
% 103.10/103.37  % res_num_sel_changes:                  0
% 103.10/103.37  % res_moves_from_active_to_pass:        0
% 103.10/103.37  
% 103.10/103.37  % Status Unknown
% 103.20/103.40  % Orienting using strategy ClausalAll
% 103.20/103.40  % Orientation found
% 103.20/103.40  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_48631f.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_a1c65a.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_2a526c | grep -v "SZS"
% 103.23/103.42  
% 103.23/103.42  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 103.23/103.42  
% 103.23/103.42  % 
% 103.23/103.42  % ------  iProver source info 
% 103.23/103.42  
% 103.23/103.42  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 103.23/103.42  % git: non_committed_changes: true
% 103.23/103.42  % git: last_make_outside_of_git: true
% 103.23/103.42  
% 103.23/103.42  % 
% 103.23/103.42  % ------ Input Options
% 103.23/103.42  
% 103.23/103.42  % --out_options                         all
% 103.23/103.42  % --tptp_safe_out                       true
% 103.23/103.42  % --problem_path                        ""
% 103.23/103.42  % --include_path                        ""
% 103.23/103.42  % --clausifier                          .//eprover
% 103.23/103.42  % --clausifier_options                  --tstp-format  
% 103.23/103.42  % --stdin                               false
% 103.23/103.42  % --dbg_backtrace                       false
% 103.23/103.42  % --dbg_dump_prop_clauses               false
% 103.23/103.42  % --dbg_dump_prop_clauses_file          -
% 103.23/103.42  % --dbg_out_stat                        false
% 103.23/103.42  
% 103.23/103.42  % ------ General Options
% 103.23/103.42  
% 103.23/103.42  % --fof                                 false
% 103.23/103.42  % --time_out_real                       150.
% 103.23/103.42  % --time_out_prep_mult                  0.2
% 103.23/103.42  % --time_out_virtual                    -1.
% 103.23/103.42  % --schedule                            none
% 103.23/103.42  % --ground_splitting                    input
% 103.23/103.42  % --splitting_nvd                       16
% 103.23/103.42  % --non_eq_to_eq                        false
% 103.23/103.42  % --prep_gs_sim                         true
% 103.23/103.42  % --prep_unflatten                      false
% 103.23/103.42  % --prep_res_sim                        true
% 103.23/103.42  % --prep_upred                          true
% 103.23/103.42  % --res_sim_input                       true
% 103.23/103.42  % --clause_weak_htbl                    true
% 103.23/103.42  % --gc_record_bc_elim                   false
% 103.23/103.42  % --symbol_type_check                   false
% 103.23/103.42  % --clausify_out                        false
% 103.23/103.42  % --large_theory_mode                   false
% 103.23/103.42  % --prep_sem_filter                     none
% 103.23/103.42  % --prep_sem_filter_out                 false
% 103.23/103.42  % --preprocessed_out                    false
% 103.23/103.42  % --sub_typing                          false
% 103.23/103.42  % --brand_transform                     false
% 103.23/103.42  % --pure_diseq_elim                     true
% 103.23/103.42  % --min_unsat_core                      false
% 103.23/103.42  % --pred_elim                           true
% 103.23/103.42  % --add_important_lit                   false
% 103.23/103.42  % --soft_assumptions                    false
% 103.23/103.42  % --reset_solvers                       false
% 103.23/103.42  % --bc_imp_inh                          []
% 103.23/103.42  % --conj_cone_tolerance                 1.5
% 103.23/103.42  % --prolific_symb_bound                 500
% 103.23/103.42  % --lt_threshold                        2000
% 103.23/103.42  
% 103.23/103.42  % ------ SAT Options
% 103.23/103.42  
% 103.23/103.42  % --sat_mode                            false
% 103.23/103.42  % --sat_fm_restart_options              ""
% 103.23/103.42  % --sat_gr_def                          false
% 103.23/103.42  % --sat_epr_types                       true
% 103.23/103.42  % --sat_non_cyclic_types                false
% 103.23/103.42  % --sat_finite_models                   false
% 103.23/103.42  % --sat_fm_lemmas                       false
% 103.23/103.42  % --sat_fm_prep                         false
% 103.23/103.42  % --sat_fm_uc_incr                      true
% 103.23/103.42  % --sat_out_model                       small
% 103.23/103.42  % --sat_out_clauses                     false
% 103.23/103.42  
% 103.23/103.42  % ------ QBF Options
% 103.23/103.42  
% 103.23/103.42  % --qbf_mode                            false
% 103.23/103.42  % --qbf_elim_univ                       true
% 103.23/103.42  % --qbf_sk_in                           true
% 103.23/103.42  % --qbf_pred_elim                       true
% 103.23/103.42  % --qbf_split                           32
% 103.23/103.42  
% 103.23/103.42  % ------ BMC1 Options
% 103.23/103.42  
% 103.23/103.42  % --bmc1_incremental                    false
% 103.23/103.42  % --bmc1_axioms                         reachable_all
% 103.23/103.42  % --bmc1_min_bound                      0
% 103.23/103.42  % --bmc1_max_bound                      -1
% 103.23/103.42  % --bmc1_max_bound_default              -1
% 103.23/103.42  % --bmc1_symbol_reachability            true
% 103.23/103.42  % --bmc1_property_lemmas                false
% 103.23/103.42  % --bmc1_k_induction                    false
% 103.23/103.42  % --bmc1_non_equiv_states               false
% 103.23/103.42  % --bmc1_deadlock                       false
% 103.23/103.42  % --bmc1_ucm                            false
% 103.23/103.42  % --bmc1_add_unsat_core                 none
% 103.23/103.42  % --bmc1_unsat_core_children            false
% 103.23/103.42  % --bmc1_unsat_core_extrapolate_axioms  false
% 103.23/103.42  % --bmc1_out_stat                       full
% 103.23/103.42  % --bmc1_ground_init                    false
% 103.23/103.42  % --bmc1_pre_inst_next_state            false
% 103.23/103.42  % --bmc1_pre_inst_state                 false
% 103.23/103.42  % --bmc1_pre_inst_reach_state           false
% 103.23/103.42  % --bmc1_out_unsat_core                 false
% 103.23/103.42  % --bmc1_aig_witness_out                false
% 103.23/103.42  % --bmc1_verbose                        false
% 103.23/103.42  % --bmc1_dump_clauses_tptp              false
% 103.23/103.47  % --bmc1_dump_unsat_core_tptp           false
% 103.23/103.47  % --bmc1_dump_file                      -
% 103.23/103.47  % --bmc1_ucm_expand_uc_limit            128
% 103.23/103.47  % --bmc1_ucm_n_expand_iterations        6
% 103.23/103.47  % --bmc1_ucm_extend_mode                1
% 103.23/103.47  % --bmc1_ucm_init_mode                  2
% 103.23/103.47  % --bmc1_ucm_cone_mode                  none
% 103.23/103.47  % --bmc1_ucm_reduced_relation_type      0
% 103.23/103.47  % --bmc1_ucm_relax_model                4
% 103.23/103.47  % --bmc1_ucm_full_tr_after_sat          true
% 103.23/103.47  % --bmc1_ucm_expand_neg_assumptions     false
% 103.23/103.47  % --bmc1_ucm_layered_model              none
% 103.23/103.47  % --bmc1_ucm_max_lemma_size             10
% 103.23/103.47  
% 103.23/103.47  % ------ AIG Options
% 103.23/103.47  
% 103.23/103.47  % --aig_mode                            false
% 103.23/103.47  
% 103.23/103.47  % ------ Instantiation Options
% 103.23/103.47  
% 103.23/103.47  % --instantiation_flag                  true
% 103.23/103.47  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 103.23/103.47  % --inst_solver_per_active              750
% 103.23/103.47  % --inst_solver_calls_frac              0.5
% 103.23/103.47  % --inst_passive_queue_type             priority_queues
% 103.23/103.47  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 103.23/103.47  % --inst_passive_queues_freq            [25;2]
% 103.23/103.47  % --inst_dismatching                    true
% 103.23/103.47  % --inst_eager_unprocessed_to_passive   true
% 103.23/103.47  % --inst_prop_sim_given                 true
% 103.23/103.47  % --inst_prop_sim_new                   false
% 103.23/103.47  % --inst_orphan_elimination             true
% 103.23/103.47  % --inst_learning_loop_flag             true
% 103.23/103.47  % --inst_learning_start                 3000
% 103.23/103.47  % --inst_learning_factor                2
% 103.23/103.47  % --inst_start_prop_sim_after_learn     3
% 103.23/103.47  % --inst_sel_renew                      solver
% 103.23/103.47  % --inst_lit_activity_flag              true
% 103.23/103.47  % --inst_out_proof                      true
% 103.23/103.47  
% 103.23/103.47  % ------ Resolution Options
% 103.23/103.47  
% 103.23/103.47  % --resolution_flag                     true
% 103.23/103.47  % --res_lit_sel                         kbo_max
% 103.23/103.47  % --res_to_prop_solver                  none
% 103.23/103.47  % --res_prop_simpl_new                  false
% 103.23/103.47  % --res_prop_simpl_given                false
% 103.23/103.47  % --res_passive_queue_type              priority_queues
% 103.23/103.47  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 103.23/103.47  % --res_passive_queues_freq             [15;5]
% 103.23/103.47  % --res_forward_subs                    full
% 103.23/103.47  % --res_backward_subs                   full
% 103.23/103.47  % --res_forward_subs_resolution         true
% 103.23/103.47  % --res_backward_subs_resolution        true
% 103.23/103.47  % --res_orphan_elimination              false
% 103.23/103.47  % --res_time_limit                      1000.
% 103.23/103.47  % --res_out_proof                       true
% 103.23/103.47  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_48631f.s
% 103.23/103.47  % --modulo                              true
% 103.23/103.47  
% 103.23/103.47  % ------ Combination Options
% 103.23/103.47  
% 103.23/103.47  % --comb_res_mult                       1000
% 103.23/103.47  % --comb_inst_mult                      300
% 103.23/103.47  % ------ 
% 103.23/103.47  
% 103.23/103.47  % ------ Parsing...% successful
% 103.23/103.47  
% 103.23/103.47  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe:1:0s pe_e  snvd_s sp: 0 0s snvd_e % 
% 103.23/103.47  
% 103.23/103.47  % ------ Proving...
% 103.23/103.47  % ------ Problem Properties 
% 103.23/103.47  
% 103.23/103.47  % 
% 103.23/103.47  % EPR                                   false
% 103.23/103.47  % Horn                                  false
% 103.23/103.47  % Has equality                          true
% 103.23/103.47  
% 103.23/103.47  % % ------ Input Options Time Limit: Unbounded
% 103.23/103.47  
% 103.23/103.47  
% 103.23/103.47  % % ------ Current options:
% 103.23/103.47  
% 103.23/103.47  % ------ Input Options
% 103.23/103.47  
% 103.23/103.47  % --out_options                         all
% 103.23/103.47  % --tptp_safe_out                       true
% 103.23/103.47  % --problem_path                        ""
% 103.23/103.47  % --include_path                        ""
% 103.23/103.47  % --clausifier                          .//eprover
% 103.23/103.47  % --clausifier_options                  --tstp-format  
% 103.23/103.47  % --stdin                               false
% 103.23/103.47  % --dbg_backtrace                       false
% 103.23/103.47  % --dbg_dump_prop_clauses               false
% 103.23/103.47  % --dbg_dump_prop_clauses_file          -
% 103.23/103.47  % --dbg_out_stat                        false
% 103.23/103.47  
% 103.23/103.47  % ------ General Options
% 103.23/103.47  
% 103.23/103.47  % --fof                                 false
% 103.23/103.47  % --time_out_real                       150.
% 103.23/103.47  % --time_out_prep_mult                  0.2
% 103.23/103.47  % --time_out_virtual                    -1.
% 103.23/103.47  % --schedule                            none
% 103.23/103.47  % --ground_splitting                    input
% 103.23/103.47  % --splitting_nvd                       16
% 103.23/103.47  % --non_eq_to_eq                        false
% 103.23/103.47  % --prep_gs_sim                         true
% 103.23/103.47  % --prep_unflatten                      false
% 103.23/103.47  % --prep_res_sim                        true
% 103.23/103.47  % --prep_upred                          true
% 103.23/103.47  % --res_sim_input                       true
% 103.23/103.47  % --clause_weak_htbl                    true
% 103.23/103.47  % --gc_record_bc_elim                   false
% 103.23/103.47  % --symbol_type_check                   false
% 103.23/103.47  % --clausify_out                        false
% 103.23/103.47  % --large_theory_mode                   false
% 103.23/103.47  % --prep_sem_filter                     none
% 103.23/103.47  % --prep_sem_filter_out                 false
% 103.23/103.47  % --preprocessed_out                    false
% 103.23/103.47  % --sub_typing                          false
% 103.23/103.47  % --brand_transform                     false
% 103.23/103.47  % --pure_diseq_elim                     true
% 103.23/103.47  % --min_unsat_core                      false
% 103.23/103.47  % --pred_elim                           true
% 103.23/103.47  % --add_important_lit                   false
% 103.23/103.47  % --soft_assumptions                    false
% 103.23/103.47  % --reset_solvers                       false
% 103.23/103.47  % --bc_imp_inh                          []
% 103.23/103.47  % --conj_cone_tolerance                 1.5
% 103.23/103.47  % --prolific_symb_bound                 500
% 103.23/103.47  % --lt_threshold                        2000
% 103.23/103.47  
% 103.23/103.47  % ------ SAT Options
% 103.23/103.47  
% 103.23/103.47  % --sat_mode                            false
% 103.23/103.47  % --sat_fm_restart_options              ""
% 103.23/103.47  % --sat_gr_def                          false
% 103.23/103.47  % --sat_epr_types                       true
% 103.23/103.47  % --sat_non_cyclic_types                false
% 103.23/103.47  % --sat_finite_models                   false
% 103.23/103.47  % --sat_fm_lemmas                       false
% 103.23/103.47  % --sat_fm_prep                         false
% 103.23/103.47  % --sat_fm_uc_incr                      true
% 103.23/103.47  % --sat_out_model                       small
% 103.23/103.47  % --sat_out_clauses                     false
% 103.23/103.47  
% 103.23/103.47  % ------ QBF Options
% 103.23/103.47  
% 103.23/103.47  % --qbf_mode                            false
% 103.23/103.47  % --qbf_elim_univ                       true
% 103.23/103.47  % --qbf_sk_in                           true
% 103.23/103.47  % --qbf_pred_elim                       true
% 103.23/103.47  % --qbf_split                           32
% 103.23/103.47  
% 103.23/103.47  % ------ BMC1 Options
% 103.23/103.47  
% 103.23/103.47  % --bmc1_incremental                    false
% 103.23/103.47  % --bmc1_axioms                         reachable_all
% 103.23/103.47  % --bmc1_min_bound                      0
% 103.23/103.47  % --bmc1_max_bound                      -1
% 103.23/103.47  % --bmc1_max_bound_default              -1
% 103.23/103.47  % --bmc1_symbol_reachability            true
% 103.23/103.47  % --bmc1_property_lemmas                false
% 103.23/103.47  % --bmc1_k_induction                    false
% 103.23/103.47  % --bmc1_non_equiv_states               false
% 103.23/103.47  % --bmc1_deadlock                       false
% 103.23/103.47  % --bmc1_ucm                            false
% 103.23/103.47  % --bmc1_add_unsat_core                 none
% 103.23/103.47  % --bmc1_unsat_core_children            false
% 103.23/103.47  % --bmc1_unsat_core_extrapolate_axioms  false
% 103.23/103.47  % --bmc1_out_stat                       full
% 103.23/103.47  % --bmc1_ground_init                    false
% 103.23/103.47  % --bmc1_pre_inst_next_state            false
% 103.23/103.47  % --bmc1_pre_inst_state                 false
% 103.23/103.47  % --bmc1_pre_inst_reach_state           false
% 103.23/103.47  % --bmc1_out_unsat_core                 false
% 103.23/103.47  % --bmc1_aig_witness_out                false
% 103.23/103.47  % --bmc1_verbose                        false
% 103.23/103.47  % --bmc1_dump_clauses_tptp              false
% 103.23/103.47  % --bmc1_dump_unsat_core_tptp           false
% 103.23/103.47  % --bmc1_dump_file                      -
% 103.23/103.47  % --bmc1_ucm_expand_uc_limit            128
% 103.23/103.47  % --bmc1_ucm_n_expand_iterations        6
% 103.23/103.47  % --bmc1_ucm_extend_mode                1
% 103.23/103.47  % --bmc1_ucm_init_mode                  2
% 103.23/103.47  % --bmc1_ucm_cone_mode                  none
% 103.23/103.47  % --bmc1_ucm_reduced_relation_type      0
% 103.23/103.47  % --bmc1_ucm_relax_model                4
% 103.23/103.47  % --bmc1_ucm_full_tr_after_sat          true
% 103.23/103.47  % --bmc1_ucm_expand_neg_assumptions     false
% 103.23/103.47  % --bmc1_ucm_layered_model              none
% 103.23/103.47  % --bmc1_ucm_max_lemma_size             10
% 103.23/103.47  
% 103.23/103.47  % ------ AIG Options
% 103.23/103.47  
% 103.23/103.47  % --aig_mode                            false
% 103.23/103.47  
% 103.23/103.47  % ------ Instantiation Options
% 103.23/103.47  
% 103.23/103.47  % --instantiation_flag                  true
% 103.23/103.47  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 103.23/103.47  % --inst_solver_per_active              750
% 103.23/103.47  % --inst_solver_calls_frac              0.5
% 103.23/103.47  % --inst_passive_queue_type             priority_queues
% 103.23/103.47  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 103.23/103.47  % --inst_passive_queues_freq            [25;2]
% 103.23/103.47  % --inst_dismatching                    true
% 103.23/103.47  % --inst_eager_unprocessed_to_passive   true
% 103.23/103.47  % --inst_prop_sim_given                 true
% 253.18/253.42  % --inst_prop_sim_new                   false
% 253.18/253.42  % --inst_orphan_elimination             true
% 253.18/253.42  % --inst_learning_loop_flag             true
% 253.18/253.42  % --inst_learning_start                 3000
% 253.18/253.42  % --inst_learning_factor                2
% 253.18/253.42  % --inst_start_prop_sim_after_learn     3
% 253.18/253.42  % --inst_sel_renew                      solver
% 253.18/253.42  % --inst_lit_activity_flag              true
% 253.18/253.42  % --inst_out_proof                      true
% 253.18/253.42  
% 253.18/253.42  % ------ Resolution Options
% 253.18/253.42  
% 253.18/253.42  % --resolution_flag                     true
% 253.18/253.42  % --res_lit_sel                         kbo_max
% 253.18/253.42  % --res_to_prop_solver                  none
% 253.18/253.42  % --res_prop_simpl_new                  false
% 253.18/253.42  % --res_prop_simpl_given                false
% 253.18/253.42  % --res_passive_queue_type              priority_queues
% 253.18/253.42  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 253.18/253.42  % --res_passive_queues_freq             [15;5]
% 253.18/253.42  % --res_forward_subs                    full
% 253.18/253.42  % --res_backward_subs                   full
% 253.18/253.42  % --res_forward_subs_resolution         true
% 253.18/253.42  % --res_backward_subs_resolution        true
% 253.18/253.42  % --res_orphan_elimination              false
% 253.18/253.42  % --res_time_limit                      1000.
% 253.18/253.42  % --res_out_proof                       true
% 253.18/253.42  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_48631f.s
% 253.18/253.42  % --modulo                              true
% 253.18/253.42  
% 253.18/253.42  % ------ Combination Options
% 253.18/253.42  
% 253.18/253.42  % --comb_res_mult                       1000
% 253.18/253.42  % --comb_inst_mult                      300
% 253.18/253.42  % ------ 
% 253.18/253.42  
% 253.18/253.42  
% 253.18/253.42  
% 253.18/253.42  % ------ Proving...
% 253.18/253.42  % 
% 253.18/253.42  
% 253.18/253.42  
% 253.18/253.42  % Time Out Real
% 253.18/253.42  
% 253.18/253.42  % ------                             Statistics
% 253.18/253.42  
% 253.18/253.42  % ------ General
% 253.18/253.42  
% 253.18/253.42  % num_of_input_clauses:                 112
% 253.18/253.42  % num_of_input_neg_conjectures:         0
% 253.18/253.42  % num_of_splits:                        0
% 253.18/253.42  % num_of_split_atoms:                   0
% 253.18/253.42  % num_of_sem_filtered_clauses:          0
% 253.18/253.42  % num_of_subtypes:                      0
% 253.18/253.42  % monotx_restored_types:                0
% 253.18/253.42  % sat_num_of_epr_types:                 0
% 253.18/253.42  % sat_num_of_non_cyclic_types:          0
% 253.18/253.42  % sat_guarded_non_collapsed_types:      0
% 253.18/253.42  % is_epr:                               0
% 253.18/253.42  % is_horn:                              0
% 253.18/253.42  % has_eq:                               1
% 253.18/253.42  % num_pure_diseq_elim:                  0
% 253.18/253.42  % simp_replaced_by:                     0
% 253.18/253.42  % res_preprocessed:                     30
% 253.18/253.42  % prep_upred:                           0
% 253.18/253.42  % prep_unflattend:                      342
% 253.18/253.42  % pred_elim_cands:                      3
% 253.18/253.42  % pred_elim:                            1
% 253.18/253.42  % pred_elim_cl:                         -143
% 253.18/253.42  % pred_elim_cycles:                     2
% 253.18/253.42  % forced_gc_time:                       0
% 253.18/253.42  % gc_basic_clause_elim:                 0
% 253.18/253.42  % parsing_time:                         0.004
% 253.18/253.42  % sem_filter_time:                      0.
% 253.18/253.42  % pred_elim_time:                       0.042
% 253.18/253.42  % out_proof_time:                       0.
% 253.18/253.42  % monotx_time:                          0.
% 253.18/253.42  % subtype_inf_time:                     0.
% 253.18/253.42  % unif_index_cands_time:                0.122
% 253.18/253.42  % unif_index_add_time:                  0.049
% 253.18/253.42  % total_time:                           150.009
% 253.18/253.42  % num_of_symbols:                       30
% 253.18/253.42  % num_of_terms:                         4446
% 253.18/253.42  
% 253.18/253.42  % ------ Propositional Solver
% 253.18/253.42  
% 253.18/253.42  % prop_solver_calls:                    22
% 253.18/253.42  % prop_fast_solver_calls:               606
% 253.18/253.42  % prop_num_of_clauses:                  8109
% 253.18/253.42  % prop_preprocess_simplified:           14106
% 253.18/253.42  % prop_fo_subsumed:                     0
% 253.18/253.42  % prop_solver_time:                     0.003
% 253.18/253.42  % prop_fast_solver_time:                0.
% 253.18/253.42  % prop_unsat_core_time:                 0.
% 253.18/253.42  
% 253.18/253.42  % ------ QBF 
% 253.18/253.42  
% 253.18/253.42  % qbf_q_res:                            0
% 253.18/253.42  % qbf_num_tautologies:                  0
% 253.18/253.42  % qbf_prep_cycles:                      0
% 253.18/253.42  
% 253.18/253.42  % ------ BMC1
% 253.18/253.42  
% 253.18/253.42  % bmc1_current_bound:                   -1
% 253.18/253.42  % bmc1_last_solved_bound:               -1
% 253.18/253.42  % bmc1_unsat_core_size:                 -1
% 253.18/253.42  % bmc1_unsat_core_parents_size:         -1
% 253.18/253.42  % bmc1_merge_next_fun:                  0
% 253.18/253.42  % bmc1_unsat_core_clauses_time:         0.
% 253.18/253.42  
% 253.18/253.42  % ------ Instantiation
% 253.18/253.42  
% 253.18/253.42  % inst_num_of_clauses:                  4036
% 253.18/253.42  % inst_num_in_passive:                  920
% 253.18/253.42  % inst_num_in_active:                   2853
% 253.18/253.42  % inst_num_in_unprocessed:              263
% 253.18/253.42  % inst_num_of_loops:                    3599
% 253.18/253.42  % inst_num_of_learning_restarts:        1
% 253.18/253.42  % inst_num_moves_active_passive:        745
% 253.18/253.42  % inst_lit_activity:                    218
% 253.18/253.42  % inst_lit_activity_moves:              0
% 253.18/253.42  % inst_num_tautologies:                 0
% 253.18/253.42  % inst_num_prop_implied:                0
% 253.18/253.42  % inst_num_existing_simplified:         0
% 253.18/253.42  % inst_num_eq_res_simplified:           0
% 253.18/253.42  % inst_num_child_elim:                  0
% 253.18/253.42  % inst_num_of_dismatching_blockings:    0
% 253.18/253.42  % inst_num_of_non_proper_insts:         4461
% 253.18/253.42  % inst_num_of_duplicates:               873
% 253.18/253.42  % inst_inst_num_from_inst_to_res:       0
% 253.18/253.42  % inst_dismatching_checking_time:       0.017
% 253.18/253.42  
% 253.18/253.42  % ------ Resolution
% 253.18/253.42  
% 253.18/253.42  % res_num_of_clauses:                   211734
% 253.18/253.42  % res_num_in_passive:                   216582
% 253.18/253.42  % res_num_in_active:                    4735
% 253.18/253.42  % res_num_of_loops:                     22606
% 253.18/253.42  % res_forward_subset_subsumed:          284096
% 253.18/253.42  % res_backward_subset_subsumed:         10499
% 253.18/253.42  % res_forward_subsumed:                 13576
% 253.18/253.42  % res_backward_subsumed:                3755
% 253.18/253.42  % res_forward_subsumption_resolution:   3343
% 253.18/253.42  % res_backward_subsumption_resolution:  65
% 253.18/253.42  % res_clause_to_clause_subsumption:     2866945
% 253.18/253.42  % res_orphan_elimination:               0
% 253.18/253.42  % res_tautology_del:                    48832
% 253.18/253.42  % res_num_eq_res_simplified:            0
% 253.18/253.42  % res_num_sel_changes:                  0
% 253.18/253.42  % res_moves_from_active_to_pass:        0
% 253.18/253.42  
% 253.18/253.42  % Status Unknown
% 253.18/253.42  % Last status :
% 253.18/253.42  % SZS status Unknown
%------------------------------------------------------------------------------