TSTP Solution File: PUZ071-1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : PUZ071-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n024.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 18:14:37 EDT 2022

% Result   : Unknown 190.39s 190.64s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : PUZ071-1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat May 28 22:11:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.13/0.34  % Running in mono-core mode
% 0.19/0.42  % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.42  % Orientation found
% 0.19/0.42  % 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_0fa6ec.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_d6c6c6.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_a0894e | grep -v "SZS"
% 0.19/0.44  
% 0.19/0.44  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.44  
% 0.19/0.44  % 
% 0.19/0.44  % ------  iProver source info 
% 0.19/0.44  
% 0.19/0.44  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.44  % git: non_committed_changes: true
% 0.19/0.44  % git: last_make_outside_of_git: true
% 0.19/0.44  
% 0.19/0.44  % 
% 0.19/0.44  % ------ Input Options
% 0.19/0.44  
% 0.19/0.44  % --out_options                         all
% 0.19/0.44  % --tptp_safe_out                       true
% 0.19/0.44  % --problem_path                        ""
% 0.19/0.44  % --include_path                        ""
% 0.19/0.44  % --clausifier                          .//eprover
% 0.19/0.44  % --clausifier_options                  --tstp-format  
% 0.19/0.44  % --stdin                               false
% 0.19/0.44  % --dbg_backtrace                       false
% 0.19/0.44  % --dbg_dump_prop_clauses               false
% 0.19/0.44  % --dbg_dump_prop_clauses_file          -
% 0.19/0.44  % --dbg_out_stat                        false
% 0.19/0.44  
% 0.19/0.44  % ------ General Options
% 0.19/0.44  
% 0.19/0.44  % --fof                                 false
% 0.19/0.44  % --time_out_real                       150.
% 0.19/0.44  % --time_out_prep_mult                  0.2
% 0.19/0.44  % --time_out_virtual                    -1.
% 0.19/0.44  % --schedule                            none
% 0.19/0.44  % --ground_splitting                    input
% 0.19/0.44  % --splitting_nvd                       16
% 0.19/0.44  % --non_eq_to_eq                        false
% 0.19/0.44  % --prep_gs_sim                         true
% 0.19/0.44  % --prep_unflatten                      false
% 0.19/0.44  % --prep_res_sim                        true
% 0.19/0.44  % --prep_upred                          true
% 0.19/0.44  % --res_sim_input                       true
% 0.19/0.44  % --clause_weak_htbl                    true
% 0.19/0.44  % --gc_record_bc_elim                   false
% 0.19/0.44  % --symbol_type_check                   false
% 0.19/0.44  % --clausify_out                        false
% 0.19/0.44  % --large_theory_mode                   false
% 0.19/0.44  % --prep_sem_filter                     none
% 0.19/0.44  % --prep_sem_filter_out                 false
% 0.19/0.44  % --preprocessed_out                    false
% 0.19/0.44  % --sub_typing                          false
% 0.19/0.44  % --brand_transform                     false
% 0.19/0.44  % --pure_diseq_elim                     true
% 0.19/0.44  % --min_unsat_core                      false
% 0.19/0.44  % --pred_elim                           true
% 0.19/0.44  % --add_important_lit                   false
% 0.19/0.44  % --soft_assumptions                    false
% 0.19/0.44  % --reset_solvers                       false
% 0.19/0.44  % --bc_imp_inh                          []
% 0.19/0.44  % --conj_cone_tolerance                 1.5
% 0.19/0.44  % --prolific_symb_bound                 500
% 0.19/0.44  % --lt_threshold                        2000
% 0.19/0.44  
% 0.19/0.44  % ------ SAT Options
% 0.19/0.44  
% 0.19/0.44  % --sat_mode                            false
% 0.19/0.44  % --sat_fm_restart_options              ""
% 0.19/0.44  % --sat_gr_def                          false
% 0.19/0.44  % --sat_epr_types                       true
% 0.19/0.44  % --sat_non_cyclic_types                false
% 0.19/0.44  % --sat_finite_models                   false
% 0.19/0.44  % --sat_fm_lemmas                       false
% 0.19/0.44  % --sat_fm_prep                         false
% 0.19/0.44  % --sat_fm_uc_incr                      true
% 0.19/0.44  % --sat_out_model                       small
% 0.19/0.44  % --sat_out_clauses                     false
% 0.19/0.44  
% 0.19/0.44  % ------ QBF Options
% 0.19/0.44  
% 0.19/0.44  % --qbf_mode                            false
% 0.19/0.44  % --qbf_elim_univ                       true
% 0.19/0.44  % --qbf_sk_in                           true
% 0.19/0.44  % --qbf_pred_elim                       true
% 0.19/0.44  % --qbf_split                           32
% 0.19/0.44  
% 0.19/0.44  % ------ BMC1 Options
% 0.19/0.44  
% 0.19/0.44  % --bmc1_incremental                    false
% 0.19/0.44  % --bmc1_axioms                         reachable_all
% 0.19/0.44  % --bmc1_min_bound                      0
% 0.19/0.44  % --bmc1_max_bound                      -1
% 0.19/0.44  % --bmc1_max_bound_default              -1
% 0.19/0.44  % --bmc1_symbol_reachability            true
% 0.19/0.44  % --bmc1_property_lemmas                false
% 0.19/0.44  % --bmc1_k_induction                    false
% 0.19/0.44  % --bmc1_non_equiv_states               false
% 0.19/0.44  % --bmc1_deadlock                       false
% 0.19/0.44  % --bmc1_ucm                            false
% 0.19/0.44  % --bmc1_add_unsat_core                 none
% 0.19/0.44  % --bmc1_unsat_core_children            false
% 0.19/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.19/0.44  % --bmc1_out_stat                       full
% 0.19/0.44  % --bmc1_ground_init                    false
% 0.19/0.44  % --bmc1_pre_inst_next_state            false
% 0.19/0.44  % --bmc1_pre_inst_state                 false
% 0.19/0.44  % --bmc1_pre_inst_reach_state           false
% 0.19/0.44  % --bmc1_out_unsat_core                 false
% 0.19/0.44  % --bmc1_aig_witness_out                false
% 0.19/0.44  % --bmc1_verbose                        false
% 0.19/0.44  % --bmc1_dump_clauses_tptp              false
% 0.35/0.56  % --bmc1_dump_unsat_core_tptp           false
% 0.35/0.56  % --bmc1_dump_file                      -
% 0.35/0.56  % --bmc1_ucm_expand_uc_limit            128
% 0.35/0.56  % --bmc1_ucm_n_expand_iterations        6
% 0.35/0.56  % --bmc1_ucm_extend_mode                1
% 0.35/0.56  % --bmc1_ucm_init_mode                  2
% 0.35/0.56  % --bmc1_ucm_cone_mode                  none
% 0.35/0.56  % --bmc1_ucm_reduced_relation_type      0
% 0.35/0.56  % --bmc1_ucm_relax_model                4
% 0.35/0.56  % --bmc1_ucm_full_tr_after_sat          true
% 0.35/0.56  % --bmc1_ucm_expand_neg_assumptions     false
% 0.35/0.56  % --bmc1_ucm_layered_model              none
% 0.35/0.56  % --bmc1_ucm_max_lemma_size             10
% 0.35/0.56  
% 0.35/0.56  % ------ AIG Options
% 0.35/0.56  
% 0.35/0.56  % --aig_mode                            false
% 0.35/0.56  
% 0.35/0.56  % ------ Instantiation Options
% 0.35/0.56  
% 0.35/0.56  % --instantiation_flag                  true
% 0.35/0.56  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.35/0.56  % --inst_solver_per_active              750
% 0.35/0.56  % --inst_solver_calls_frac              0.5
% 0.35/0.56  % --inst_passive_queue_type             priority_queues
% 0.35/0.56  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.35/0.56  % --inst_passive_queues_freq            [25;2]
% 0.35/0.56  % --inst_dismatching                    true
% 0.35/0.56  % --inst_eager_unprocessed_to_passive   true
% 0.35/0.56  % --inst_prop_sim_given                 true
% 0.35/0.56  % --inst_prop_sim_new                   false
% 0.35/0.56  % --inst_orphan_elimination             true
% 0.35/0.56  % --inst_learning_loop_flag             true
% 0.35/0.56  % --inst_learning_start                 3000
% 0.35/0.56  % --inst_learning_factor                2
% 0.35/0.56  % --inst_start_prop_sim_after_learn     3
% 0.35/0.56  % --inst_sel_renew                      solver
% 0.35/0.56  % --inst_lit_activity_flag              true
% 0.35/0.56  % --inst_out_proof                      true
% 0.35/0.56  
% 0.35/0.56  % ------ Resolution Options
% 0.35/0.56  
% 0.35/0.56  % --resolution_flag                     true
% 0.35/0.56  % --res_lit_sel                         kbo_max
% 0.35/0.56  % --res_to_prop_solver                  none
% 0.35/0.56  % --res_prop_simpl_new                  false
% 0.35/0.56  % --res_prop_simpl_given                false
% 0.35/0.56  % --res_passive_queue_type              priority_queues
% 0.35/0.56  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.35/0.56  % --res_passive_queues_freq             [15;5]
% 0.35/0.56  % --res_forward_subs                    full
% 0.35/0.56  % --res_backward_subs                   full
% 0.35/0.56  % --res_forward_subs_resolution         true
% 0.35/0.56  % --res_backward_subs_resolution        true
% 0.35/0.56  % --res_orphan_elimination              false
% 0.35/0.56  % --res_time_limit                      1000.
% 0.35/0.56  % --res_out_proof                       true
% 0.35/0.56  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_0fa6ec.s
% 0.35/0.56  % --modulo                              true
% 0.35/0.56  
% 0.35/0.56  % ------ Combination Options
% 0.35/0.56  
% 0.35/0.56  % --comb_res_mult                       1000
% 0.35/0.56  % --comb_inst_mult                      300
% 0.35/0.56  % ------ 
% 0.35/0.56  
% 0.35/0.56  % ------ Parsing...% successful
% 0.35/0.56  
% 0.35/0.56  % ------ 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 % 
% 0.35/0.56  
% 0.35/0.56  % ------ Proving...
% 0.35/0.56  % ------ Problem Properties 
% 0.35/0.56  
% 0.35/0.56  % 
% 0.35/0.56  % EPR                                   false
% 0.35/0.56  % Horn                                  false
% 0.35/0.56  % Has equality                          true
% 0.35/0.56  
% 0.35/0.56  % % ------ Input Options Time Limit: Unbounded
% 0.35/0.56  
% 0.35/0.56  
% 0.35/0.56  % % ------ Current options:
% 0.35/0.56  
% 0.35/0.56  % ------ Input Options
% 0.35/0.56  
% 0.35/0.56  % --out_options                         all
% 0.35/0.56  % --tptp_safe_out                       true
% 0.35/0.56  % --problem_path                        ""
% 0.35/0.56  % --include_path                        ""
% 0.35/0.56  % --clausifier                          .//eprover
% 0.35/0.56  % --clausifier_options                  --tstp-format  
% 0.35/0.56  % --stdin                               false
% 0.35/0.56  % --dbg_backtrace                       false
% 0.35/0.56  % --dbg_dump_prop_clauses               false
% 0.35/0.56  % --dbg_dump_prop_clauses_file          -
% 0.35/0.56  % --dbg_out_stat                        false
% 0.35/0.56  
% 0.35/0.56  % ------ General Options
% 0.35/0.56  
% 0.35/0.56  % --fof                                 false
% 0.35/0.56  % --time_out_real                       150.
% 0.35/0.56  % --time_out_prep_mult                  0.2
% 0.35/0.56  % --time_out_virtual                    -1.
% 0.35/0.56  % --schedule                            none
% 0.35/0.56  % --ground_splitting                    input
% 0.35/0.56  % --splitting_nvd                       16
% 0.35/0.56  % --non_eq_to_eq                        false
% 0.35/0.56  % --prep_gs_sim                         true
% 0.35/0.56  % --prep_unflatten                      false
% 0.35/0.56  % --prep_res_sim                        true
% 0.35/0.56  % --prep_upred                          true
% 0.35/0.56  % --res_sim_input                       true
% 0.35/0.56  % --clause_weak_htbl                    true
% 0.35/0.56  % --gc_record_bc_elim                   false
% 0.35/0.56  % --symbol_type_check                   false
% 0.35/0.56  % --clausify_out                        false
% 0.35/0.56  % --large_theory_mode                   false
% 0.35/0.56  % --prep_sem_filter                     none
% 0.35/0.56  % --prep_sem_filter_out                 false
% 0.35/0.56  % --preprocessed_out                    false
% 0.35/0.56  % --sub_typing                          false
% 0.35/0.56  % --brand_transform                     false
% 0.35/0.56  % --pure_diseq_elim                     true
% 0.35/0.56  % --min_unsat_core                      false
% 0.35/0.56  % --pred_elim                           true
% 0.35/0.56  % --add_important_lit                   false
% 0.35/0.56  % --soft_assumptions                    false
% 0.35/0.56  % --reset_solvers                       false
% 0.35/0.56  % --bc_imp_inh                          []
% 0.35/0.56  % --conj_cone_tolerance                 1.5
% 0.35/0.56  % --prolific_symb_bound                 500
% 0.35/0.56  % --lt_threshold                        2000
% 0.35/0.56  
% 0.35/0.56  % ------ SAT Options
% 0.35/0.56  
% 0.35/0.56  % --sat_mode                            false
% 0.35/0.56  % --sat_fm_restart_options              ""
% 0.35/0.56  % --sat_gr_def                          false
% 0.35/0.56  % --sat_epr_types                       true
% 0.35/0.56  % --sat_non_cyclic_types                false
% 0.35/0.56  % --sat_finite_models                   false
% 0.35/0.56  % --sat_fm_lemmas                       false
% 0.35/0.56  % --sat_fm_prep                         false
% 0.35/0.56  % --sat_fm_uc_incr                      true
% 0.35/0.56  % --sat_out_model                       small
% 0.35/0.56  % --sat_out_clauses                     false
% 0.35/0.56  
% 0.35/0.56  % ------ QBF Options
% 0.35/0.56  
% 0.35/0.56  % --qbf_mode                            false
% 0.35/0.56  % --qbf_elim_univ                       true
% 0.35/0.56  % --qbf_sk_in                           true
% 0.35/0.56  % --qbf_pred_elim                       true
% 0.35/0.56  % --qbf_split                           32
% 0.35/0.56  
% 0.35/0.56  % ------ BMC1 Options
% 0.35/0.56  
% 0.35/0.56  % --bmc1_incremental                    false
% 0.35/0.56  % --bmc1_axioms                         reachable_all
% 0.35/0.56  % --bmc1_min_bound                      0
% 0.35/0.56  % --bmc1_max_bound                      -1
% 0.35/0.56  % --bmc1_max_bound_default              -1
% 0.35/0.56  % --bmc1_symbol_reachability            true
% 0.35/0.56  % --bmc1_property_lemmas                false
% 0.35/0.56  % --bmc1_k_induction                    false
% 0.35/0.56  % --bmc1_non_equiv_states               false
% 0.35/0.56  % --bmc1_deadlock                       false
% 0.35/0.56  % --bmc1_ucm                            false
% 0.35/0.56  % --bmc1_add_unsat_core                 none
% 0.35/0.56  % --bmc1_unsat_core_children            false
% 0.35/0.56  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.35/0.56  % --bmc1_out_stat                       full
% 0.35/0.56  % --bmc1_ground_init                    false
% 0.35/0.56  % --bmc1_pre_inst_next_state            false
% 0.35/0.56  % --bmc1_pre_inst_state                 false
% 0.35/0.56  % --bmc1_pre_inst_reach_state           false
% 0.35/0.56  % --bmc1_out_unsat_core                 false
% 0.35/0.56  % --bmc1_aig_witness_out                false
% 0.35/0.56  % --bmc1_verbose                        false
% 0.35/0.56  % --bmc1_dump_clauses_tptp              false
% 0.35/0.56  % --bmc1_dump_unsat_core_tptp           false
% 0.35/0.56  % --bmc1_dump_file                      -
% 0.35/0.56  % --bmc1_ucm_expand_uc_limit            128
% 0.35/0.56  % --bmc1_ucm_n_expand_iterations        6
% 0.35/0.56  % --bmc1_ucm_extend_mode                1
% 0.35/0.56  % --bmc1_ucm_init_mode                  2
% 0.35/0.56  % --bmc1_ucm_cone_mode                  none
% 0.35/0.56  % --bmc1_ucm_reduced_relation_type      0
% 0.35/0.56  % --bmc1_ucm_relax_model                4
% 0.35/0.56  % --bmc1_ucm_full_tr_after_sat          true
% 0.35/0.56  % --bmc1_ucm_expand_neg_assumptions     false
% 0.35/0.56  % --bmc1_ucm_layered_model              none
% 0.35/0.56  % --bmc1_ucm_max_lemma_size             10
% 0.35/0.56  
% 0.35/0.56  % ------ AIG Options
% 0.35/0.56  
% 0.35/0.56  % --aig_mode                            false
% 0.35/0.56  
% 0.35/0.56  % ------ Instantiation Options
% 0.35/0.56  
% 0.35/0.56  % --instantiation_flag                  true
% 0.35/0.56  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.35/0.56  % --inst_solver_per_active              750
% 0.35/0.56  % --inst_solver_calls_frac              0.5
% 0.35/0.56  % --inst_passive_queue_type             priority_queues
% 0.35/0.56  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.35/0.56  % --inst_passive_queues_freq            [25;2]
% 0.35/0.56  % --inst_dismatching                    true
% 0.35/0.56  % --inst_eager_unprocessed_to_passive   true
% 0.35/0.56  % --inst_prop_sim_given                 true
% 78.71/78.92  % --inst_prop_sim_new                   false
% 78.71/78.92  % --inst_orphan_elimination             true
% 78.71/78.92  % --inst_learning_loop_flag             true
% 78.71/78.92  % --inst_learning_start                 3000
% 78.71/78.92  % --inst_learning_factor                2
% 78.71/78.92  % --inst_start_prop_sim_after_learn     3
% 78.71/78.92  % --inst_sel_renew                      solver
% 78.71/78.92  % --inst_lit_activity_flag              true
% 78.71/78.92  % --inst_out_proof                      true
% 78.71/78.92  
% 78.71/78.92  % ------ Resolution Options
% 78.71/78.92  
% 78.71/78.92  % --resolution_flag                     true
% 78.71/78.92  % --res_lit_sel                         kbo_max
% 78.71/78.92  % --res_to_prop_solver                  none
% 78.71/78.92  % --res_prop_simpl_new                  false
% 78.71/78.92  % --res_prop_simpl_given                false
% 78.71/78.92  % --res_passive_queue_type              priority_queues
% 78.71/78.92  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 78.71/78.92  % --res_passive_queues_freq             [15;5]
% 78.71/78.92  % --res_forward_subs                    full
% 78.71/78.92  % --res_backward_subs                   full
% 78.71/78.92  % --res_forward_subs_resolution         true
% 78.71/78.92  % --res_backward_subs_resolution        true
% 78.71/78.92  % --res_orphan_elimination              false
% 78.71/78.92  % --res_time_limit                      1000.
% 78.71/78.92  % --res_out_proof                       true
% 78.71/78.92  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_0fa6ec.s
% 78.71/78.92  % --modulo                              true
% 78.71/78.92  
% 78.71/78.92  % ------ Combination Options
% 78.71/78.92  
% 78.71/78.92  % --comb_res_mult                       1000
% 78.71/78.92  % --comb_inst_mult                      300
% 78.71/78.92  % ------ 
% 78.71/78.92  
% 78.71/78.92  
% 78.71/78.92  
% 78.71/78.92  % ------ Proving...
% 78.71/78.92  % warning:  shown sat in sat incomplete mode 
% 78.71/78.92  % 
% 78.71/78.92  
% 78.71/78.92  
% 78.71/78.92  ------ Building Model...Done
% 78.71/78.92  
% 78.71/78.92  %------ The model is defined over ground terms (initial term algebra).
% 78.71/78.92  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 78.71/78.92  %------ where \phi is a formula over the term algebra.
% 78.71/78.92  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 78.71/78.92  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 78.71/78.92  %------ See help for --sat_out_model for different model outputs.
% 78.71/78.92  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 78.71/78.92  %------ where the first argument stands for the sort ($i in the unsorted case)
% 78.71/78.92  
% 78.71/78.92  
% 78.71/78.92  
% 78.71/78.92  
% 78.71/78.92  %------ Negative definition of equality_sorted 
% 78.71/78.92  fof(lit_def,axiom,
% 78.71/78.92      (! [X0,X0,X1] : 
% 78.71/78.92        ( ~(equality_sorted(X0,X0,X1)) <=>
% 78.71/78.92             (
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(n0) & X1=s(s(n0)) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(n0) & X1=s(s(s(n0))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(n0) & X1=s(s(s(s(n0)))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(n0) & X1=s(s(s(s(s(n0))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(n0) & X1=s(s(s(s(s(s(n0)))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(n0) & X1=s(s(s(s(s(s(s(n0))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(n0) & X1=s(s(s(s(s(s(s(s(n0)))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(n0) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(n0)) & X1=s(s(s(n0))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(n0)) & X1=s(s(s(s(n0)))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(n0)) & X1=s(s(s(s(s(n0))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(n0)) & X1=s(s(s(s(s(s(n0)))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(n0)) & X1=s(s(s(s(s(s(s(n0))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(n0)) & X1=s(s(s(s(s(s(s(s(n0)))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(n0)) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(n0))) & X1=s(s(s(s(n0)))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(n0))) & X1=s(s(s(s(s(n0))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(n0))) & X1=s(s(s(s(s(s(n0)))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(n0))) & X1=s(s(s(s(s(s(s(n0))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(n0))) & X1=s(s(s(s(s(s(s(s(n0)))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(n0))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(s(n0)))) & X1=s(s(s(s(s(n0))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(s(n0)))) & X1=s(s(s(s(s(s(n0)))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(s(n0)))) & X1=s(s(s(s(s(s(s(n0))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(s(n0)))) & X1=s(s(s(s(s(s(s(s(n0)))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(s(n0)))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(s(s(n0))))) & X1=s(s(s(s(s(s(n0)))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(s(s(n0))))) & X1=s(s(s(s(s(s(s(n0))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(s(s(n0))))) & X1=s(s(s(s(s(s(s(s(n0)))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(s(s(n0))))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(s(s(s(s(n0))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(s(s(s(s(s(n0)))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(s(s(s(s(s(s(n0)))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=$i & X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92             )
% 78.71/78.92        )
% 78.71/78.92      )
% 78.71/78.92     ).
% 78.71/78.92  
% 78.71/78.92  %------ Positive definition of el 
% 78.71/78.92  fof(lit_def,axiom,
% 78.71/78.92      (! [X0,X1,X2] : 
% 78.71/78.92        ( el(X0,X1,X2) <=>
% 78.71/78.92             (
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(n0) & X1=s(n0) & X2=s(s(s(s(n0)))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(n0) & X1=s(s(n0)) & X2=s(s(s(s(s(n0))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(n0) & X1=s(s(s(n0))) & X2=s(s(s(s(s(s(s(n0))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(n0) & X1=s(s(s(s(n0)))) & X2=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(n0) & X1=s(s(s(s(s(n0))))) & X2=s(s(s(s(s(s(s(s(n0)))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(n0) & X1=s(s(s(s(s(s(n0)))))) & X2=s(n0) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(n0) & X1=s(s(s(s(s(s(s(n0))))))) & X2=s(s(s(n0))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(n0) & X1=s(s(s(s(s(s(s(s(n0)))))))) & X2=s(s(s(s(s(s(n0)))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(n0) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) & X2=s(s(n0)) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(n0)) & X1=s(n0) & X2=s(s(s(s(s(s(s(s(n0)))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(n0)) & X1=s(s(n0)) & X2=s(s(s(n0))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(n0)) & X1=s(s(s(n0))) & X2=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(n0)) & X1=s(s(s(s(n0)))) & X2=s(s(n0)) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(n0)) & X1=s(s(s(s(s(n0))))) & X2=s(s(s(s(s(n0))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(n0)) & X1=s(s(s(s(s(s(n0)))))) & X2=s(s(s(s(s(s(n0)))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(n0)) & X1=s(s(s(s(s(s(s(n0))))))) & X2=s(s(s(s(n0)))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(n0)) & X1=s(s(s(s(s(s(s(s(n0)))))))) & X2=s(s(s(s(s(s(s(n0))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(n0)) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) & X2=s(n0) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(s(n0))) & X1=s(n0) & X2=s(n0) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(s(n0))) & X1=s(s(n0)) & X2=s(s(n0)) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(s(n0))) & X1=s(s(s(n0))) & X2=s(s(s(s(s(s(n0)))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(s(n0))) & X1=s(s(s(s(n0)))) & X2=s(s(s(s(n0)))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(s(n0))) & X1=s(s(s(s(s(n0))))) & X2=s(s(s(n0))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(s(n0))) & X1=s(s(s(s(s(s(n0)))))) & X2=s(s(s(s(s(s(s(n0))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(s(n0))) & X1=s(s(s(s(s(s(s(n0))))))) & X2=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(s(n0))) & X1=s(s(s(s(s(s(s(s(n0)))))))) & X2=s(s(s(s(s(s(s(s(n0)))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(s(n0))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) & X2=s(s(s(s(s(n0))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(s(s(n0)))) & X1=s(n0) & X2=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(s(s(n0)))) & X1=s(s(n0)) & X2=s(s(s(s(n0)))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(s(s(n0)))) & X1=s(s(s(n0))) & X2=s(n0) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(s(s(n0)))) & X1=s(s(s(s(n0)))) & X2=s(s(s(s(s(s(n0)))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(s(s(n0)))) & X1=s(s(s(s(s(n0))))) & X2=s(s(s(s(s(s(s(n0))))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(s(s(n0)))) & X1=s(s(s(s(s(s(n0)))))) & X2=s(s(n0)) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(s(s(n0)))) & X1=s(s(s(s(s(s(s(n0))))))) & X2=s(s(s(s(s(n0))))) )
% 78.71/78.92                )
% 78.71/78.92  
% 78.71/78.92               | 
% 78.71/78.92                (
% 78.71/78.92                  ( X0=s(s(s(s(n0)))) & X1=s(s(s(s(s(s(s(s(n0)))))))) & X2=s(s(s(n0))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( 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(s(n0)))))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(n0))))) & X1=s(n0) & X2=s(s(s(s(s(n0))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(n0))))) & X1=s(s(n0)) & X2=s(s(s(s(s(s(s(n0))))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(n0))))) & X1=s(s(s(n0))) & X2=s(s(s(s(s(s(s(s(n0)))))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(n0))))) & X1=s(s(s(s(n0)))) & X2=s(s(s(n0))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(n0))))) & X1=s(s(s(s(s(n0))))) & X2=s(s(s(s(n0)))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=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))))))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(n0))))) & X1=s(s(s(s(s(s(s(n0))))))) & X2=s(s(n0)) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(n0))))) & X1=s(s(s(s(s(s(s(s(n0)))))))) & X2=s(n0) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=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)))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(n0)))))) & X1=s(n0) & X2=s(s(s(n0))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(n0)))))) & X1=s(s(n0)) & X2=s(s(s(s(s(s(n0)))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(n0))) & X2=s(s(n0)) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(s(n0)))) & X2=s(s(s(s(s(s(s(s(n0)))))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(s(s(n0))))) & X2=s(n0) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(s(s(s(n0)))))) & X2=s(s(s(s(s(n0))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( 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(n0))))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(s(s(s(s(s(n0)))))))) & X2=s(s(s(s(n0)))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=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(s(n0))))))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(n0))))))) & X1=s(n0) & X2=s(s(n0)) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(n0)) & X2=s(n0) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(s(n0))) & X2=s(s(s(n0))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(s(s(n0)))) & X2=s(s(s(s(s(n0))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(s(s(s(n0))))) & X2=s(s(s(s(s(s(n0)))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(s(s(s(s(n0)))))) & X2=s(s(s(s(n0)))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=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(s(n0)))))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( 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))))))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( 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(s(s(s(n0))))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(n0) & X2=s(s(s(s(s(s(s(n0))))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(n0)) & X2=s(s(s(s(s(s(s(s(n0)))))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(s(n0))) & X2=s(s(s(s(s(n0))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(s(s(n0)))) & X2=s(n0) )
% 78.71/78.93                )
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% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(s(s(s(n0))))) & X2=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(s(s(s(s(n0)))))) & X2=s(s(s(n0))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( 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(n0)))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(s(s(s(s(s(s(n0)))))))) & X2=s(s(n0)) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( 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(n0)))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(n0) & X2=s(s(s(s(s(s(n0)))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( 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))))))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(s(s(n0))) & X2=s(s(s(s(n0)))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( 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))))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(s(s(s(s(n0))))) & X2=s(s(n0)) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( 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)))))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(s(s(s(s(s(s(n0))))))) & X2=s(n0) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( 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))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( 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(n0))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93             )
% 78.71/78.93        )
% 78.71/78.93      )
% 78.71/78.93     ).
% 78.71/78.93  
% 78.71/78.93  %------ Positive definition of dom 
% 78.71/78.93  fof(lit_def,axiom,
% 78.71/78.93      (! [X0] : 
% 78.71/78.93        ( dom(X0) <=>
% 78.71/78.93             (
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(n0) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(n0)) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(n0))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(n0)))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(n0))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(n0)))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(n0))))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(s(n0)))))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93               | 
% 78.71/78.93                (
% 78.71/78.93                  ( X0=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 78.71/78.93                )
% 78.71/78.93  
% 78.71/78.93             )
% 78.71/78.93        )
% 78.71/78.93      )
% 78.71/78.93     ).
% 78.71/78.93  
% 78.71/78.93  
% 78.71/78.93  
% 78.71/78.93  % ------                             Statistics
% 78.71/78.93  
% 78.71/78.93  % ------ General
% 78.71/78.93  
% 78.71/78.93  % num_of_input_clauses:                 112
% 78.71/78.93  % num_of_input_neg_conjectures:         0
% 78.71/78.93  % num_of_splits:                        0
% 78.71/78.93  % num_of_split_atoms:                   0
% 78.71/78.93  % num_of_sem_filtered_clauses:          0
% 78.71/78.93  % num_of_subtypes:                      0
% 78.71/78.93  % monotx_restored_types:                0
% 78.71/78.93  % sat_num_of_epr_types:                 0
% 78.71/78.93  % sat_num_of_non_cyclic_types:          0
% 78.71/78.93  % sat_guarded_non_collapsed_types:      0
% 78.71/78.93  % is_epr:                               0
% 78.71/78.93  % is_horn:                              0
% 78.71/78.93  % has_eq:                               1
% 78.71/78.93  % num_pure_diseq_elim:                  0
% 78.71/78.93  % simp_replaced_by:                     0
% 78.71/78.93  % res_preprocessed:                     30
% 78.71/78.93  % prep_upred:                           0
% 78.71/78.93  % prep_unflattend:                      342
% 78.71/78.93  % pred_elim_cands:                      3
% 78.71/78.93  % pred_elim:                            1
% 78.71/78.93  % pred_elim_cl:                         -143
% 78.71/78.93  % pred_elim_cycles:                     2
% 78.71/78.93  % forced_gc_time:                       0
% 78.71/78.93  % gc_basic_clause_elim:                 0
% 78.71/78.93  % parsing_time:                         0.007
% 78.71/78.93  % sem_filter_time:                      0.
% 78.71/78.93  % pred_elim_time:                       0.095
% 78.71/78.93  % out_proof_time:                       0.
% 78.71/78.93  % monotx_time:                          0.
% 78.71/78.93  % subtype_inf_time:                     0.
% 78.71/78.93  % unif_index_cands_time:                0.055
% 78.71/78.93  % unif_index_add_time:                  0.044
% 78.71/78.93  % total_time:                           78.502
% 78.71/78.93  % num_of_symbols:                       30
% 78.71/78.93  % num_of_terms:                         3170
% 78.71/78.93  
% 78.71/78.93  % ------ Propositional Solver
% 78.71/78.93  
% 78.71/78.93  % prop_solver_calls:                    24
% 78.71/78.93  % prop_fast_solver_calls:               606
% 78.71/78.93  % prop_num_of_clauses:                  8178
% 78.71/78.93  % prop_preprocess_simplified:           14178
% 78.71/78.93  % prop_fo_subsumed:                     0
% 78.71/78.93  % prop_solver_time:                     0.002
% 78.71/78.93  % prop_fast_solver_time:                0.
% 78.71/78.93  % prop_unsat_core_time:                 0.
% 78.71/78.93  
% 78.71/78.93  % ------ QBF 
% 78.71/78.93  
% 78.71/78.93  % qbf_q_res:                            0
% 78.71/78.93  % qbf_num_tautologies:                  0
% 78.71/78.93  % qbf_prep_cycles:                      0
% 78.71/78.93  
% 78.71/78.93  % ------ BMC1
% 78.71/78.93  
% 78.71/78.93  % bmc1_current_bound:                   -1
% 78.71/78.93  % bmc1_last_solved_bound:               -1
% 78.71/78.93  % bmc1_unsat_core_size:                 -1
% 78.71/78.93  % bmc1_unsat_core_parents_size:         -1
% 78.71/78.93  % bmc1_merge_next_fun:                  0
% 78.71/78.93  % bmc1_unsat_core_clauses_time:         0.
% 78.71/78.93  
% 78.71/78.93  % ------ Instantiation
% 78.71/78.93  
% 78.71/78.93  % inst_num_of_clauses:                  3763
% 78.71/78.93  % inst_num_in_passive:                  0
% 78.71/78.93  % inst_num_in_active:                   3763
% 78.71/78.93  % inst_num_in_unprocessed:              0
% 78.71/78.93  % inst_num_of_loops:                    4804
% 78.71/78.93  % inst_num_of_learning_restarts:        1
% 78.71/78.93  % inst_num_moves_active_passive:        1038
% 78.71/78.93  % inst_lit_activity:                    210
% 78.71/78.93  % inst_lit_activity_moves:              0
% 78.71/78.93  % inst_num_tautologies:                 0
% 78.71/78.93  % inst_num_prop_implied:                0
% 78.71/78.93  % inst_num_existing_simplified:         0
% 78.71/78.93  % inst_num_eq_res_simplified:           0
% 78.71/78.93  % inst_num_child_elim:                  0
% 78.71/78.93  % inst_num_of_dismatching_blockings:    0
% 78.71/78.93  % inst_num_of_non_proper_insts:         5316
% 78.71/78.93  % inst_num_of_duplicates:               999
% 78.71/78.93  % inst_inst_num_from_inst_to_res:       0
% 78.71/78.93  % inst_dismatching_checking_time:       0.017
% 78.71/78.93  
% 78.71/78.93  % ------ Resolution
% 78.71/78.93  
% 78.71/78.93  % res_num_of_clauses:                   41635
% 78.71/78.93  % res_num_in_passive:                   35135
% 78.71/78.93  % res_num_in_active:                    7016
% 78.71/78.93  % res_num_of_loops:                     27000
% 78.71/78.93  % res_forward_subset_subsumed:          13684
% 78.71/78.93  % res_backward_subset_subsumed:         1812
% 78.71/78.93  % res_forward_subsumed:                 17949
% 78.71/78.93  % res_backward_subsumed:                1576
% 78.71/78.93  % res_forward_subsumption_resolution:   5860
% 78.71/78.93  % res_backward_subsumption_resolution:  14
% 78.71/78.93  % res_clause_to_clause_subsumption:     6922712
% 78.71/78.93  % res_orphan_elimination:               0
% 78.71/78.93  % res_tautology_del:                    21101
% 78.71/78.93  % res_num_eq_res_simplified:            0
% 78.71/78.93  % res_num_sel_changes:                  0
% 78.71/78.93  % res_moves_from_active_to_pass:        0
% 78.71/78.93  
% 78.71/78.93  % Status Unknown
% 78.71/78.98  % Orienting using strategy ClausalAll
% 78.71/78.98  % Orientation found
% 78.71/78.98  % 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_0fa6ec.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_d6c6c6.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_266ba2 | grep -v "SZS"
% 78.81/78.99  
% 78.81/78.99  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 78.81/78.99  
% 78.81/78.99  % 
% 78.81/78.99  % ------  iProver source info 
% 78.81/78.99  
% 78.81/78.99  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 78.81/78.99  % git: non_committed_changes: true
% 78.81/78.99  % git: last_make_outside_of_git: true
% 78.81/78.99  
% 78.81/78.99  % 
% 78.81/78.99  % ------ Input Options
% 78.81/78.99  
% 78.81/78.99  % --out_options                         all
% 78.81/78.99  % --tptp_safe_out                       true
% 78.81/78.99  % --problem_path                        ""
% 78.81/78.99  % --include_path                        ""
% 78.81/78.99  % --clausifier                          .//eprover
% 78.81/78.99  % --clausifier_options                  --tstp-format  
% 78.81/78.99  % --stdin                               false
% 78.81/78.99  % --dbg_backtrace                       false
% 78.81/78.99  % --dbg_dump_prop_clauses               false
% 78.81/78.99  % --dbg_dump_prop_clauses_file          -
% 78.81/78.99  % --dbg_out_stat                        false
% 78.81/78.99  
% 78.81/78.99  % ------ General Options
% 78.81/78.99  
% 78.81/78.99  % --fof                                 false
% 78.81/78.99  % --time_out_real                       150.
% 78.81/78.99  % --time_out_prep_mult                  0.2
% 78.81/78.99  % --time_out_virtual                    -1.
% 78.81/78.99  % --schedule                            none
% 78.81/78.99  % --ground_splitting                    input
% 78.81/78.99  % --splitting_nvd                       16
% 78.81/78.99  % --non_eq_to_eq                        false
% 78.81/78.99  % --prep_gs_sim                         true
% 78.81/78.99  % --prep_unflatten                      false
% 78.81/78.99  % --prep_res_sim                        true
% 78.81/78.99  % --prep_upred                          true
% 78.81/78.99  % --res_sim_input                       true
% 78.81/78.99  % --clause_weak_htbl                    true
% 78.81/78.99  % --gc_record_bc_elim                   false
% 78.81/78.99  % --symbol_type_check                   false
% 78.81/78.99  % --clausify_out                        false
% 78.81/78.99  % --large_theory_mode                   false
% 78.81/78.99  % --prep_sem_filter                     none
% 78.81/78.99  % --prep_sem_filter_out                 false
% 78.81/78.99  % --preprocessed_out                    false
% 78.81/78.99  % --sub_typing                          false
% 78.81/78.99  % --brand_transform                     false
% 78.81/78.99  % --pure_diseq_elim                     true
% 78.81/78.99  % --min_unsat_core                      false
% 78.81/78.99  % --pred_elim                           true
% 78.81/78.99  % --add_important_lit                   false
% 78.81/78.99  % --soft_assumptions                    false
% 78.81/78.99  % --reset_solvers                       false
% 78.81/78.99  % --bc_imp_inh                          []
% 78.81/78.99  % --conj_cone_tolerance                 1.5
% 78.81/78.99  % --prolific_symb_bound                 500
% 78.81/78.99  % --lt_threshold                        2000
% 78.81/78.99  
% 78.81/78.99  % ------ SAT Options
% 78.81/78.99  
% 78.81/78.99  % --sat_mode                            false
% 78.81/78.99  % --sat_fm_restart_options              ""
% 78.81/78.99  % --sat_gr_def                          false
% 78.81/78.99  % --sat_epr_types                       true
% 78.81/78.99  % --sat_non_cyclic_types                false
% 78.81/78.99  % --sat_finite_models                   false
% 78.81/78.99  % --sat_fm_lemmas                       false
% 78.81/78.99  % --sat_fm_prep                         false
% 78.81/78.99  % --sat_fm_uc_incr                      true
% 78.81/78.99  % --sat_out_model                       small
% 78.81/78.99  % --sat_out_clauses                     false
% 78.81/78.99  
% 78.81/78.99  % ------ QBF Options
% 78.81/78.99  
% 78.81/78.99  % --qbf_mode                            false
% 78.81/78.99  % --qbf_elim_univ                       true
% 78.81/78.99  % --qbf_sk_in                           true
% 78.81/78.99  % --qbf_pred_elim                       true
% 78.81/78.99  % --qbf_split                           32
% 78.81/78.99  
% 78.81/78.99  % ------ BMC1 Options
% 78.81/78.99  
% 78.81/78.99  % --bmc1_incremental                    false
% 78.81/78.99  % --bmc1_axioms                         reachable_all
% 78.81/78.99  % --bmc1_min_bound                      0
% 78.81/78.99  % --bmc1_max_bound                      -1
% 78.81/78.99  % --bmc1_max_bound_default              -1
% 78.81/78.99  % --bmc1_symbol_reachability            true
% 78.81/78.99  % --bmc1_property_lemmas                false
% 78.81/78.99  % --bmc1_k_induction                    false
% 78.81/78.99  % --bmc1_non_equiv_states               false
% 78.81/78.99  % --bmc1_deadlock                       false
% 78.81/78.99  % --bmc1_ucm                            false
% 78.81/78.99  % --bmc1_add_unsat_core                 none
% 78.81/78.99  % --bmc1_unsat_core_children            false
% 78.81/78.99  % --bmc1_unsat_core_extrapolate_axioms  false
% 78.81/78.99  % --bmc1_out_stat                       full
% 78.81/78.99  % --bmc1_ground_init                    false
% 78.81/78.99  % --bmc1_pre_inst_next_state            false
% 78.81/78.99  % --bmc1_pre_inst_state                 false
% 78.81/78.99  % --bmc1_pre_inst_reach_state           false
% 78.81/78.99  % --bmc1_out_unsat_core                 false
% 78.81/78.99  % --bmc1_aig_witness_out                false
% 78.81/78.99  % --bmc1_verbose                        false
% 78.81/78.99  % --bmc1_dump_clauses_tptp              false
% 78.81/79.05  % --bmc1_dump_unsat_core_tptp           false
% 78.81/79.05  % --bmc1_dump_file                      -
% 78.81/79.05  % --bmc1_ucm_expand_uc_limit            128
% 78.81/79.05  % --bmc1_ucm_n_expand_iterations        6
% 78.81/79.05  % --bmc1_ucm_extend_mode                1
% 78.81/79.05  % --bmc1_ucm_init_mode                  2
% 78.81/79.05  % --bmc1_ucm_cone_mode                  none
% 78.81/79.05  % --bmc1_ucm_reduced_relation_type      0
% 78.81/79.05  % --bmc1_ucm_relax_model                4
% 78.81/79.05  % --bmc1_ucm_full_tr_after_sat          true
% 78.81/79.05  % --bmc1_ucm_expand_neg_assumptions     false
% 78.81/79.05  % --bmc1_ucm_layered_model              none
% 78.81/79.05  % --bmc1_ucm_max_lemma_size             10
% 78.81/79.05  
% 78.81/79.05  % ------ AIG Options
% 78.81/79.05  
% 78.81/79.05  % --aig_mode                            false
% 78.81/79.05  
% 78.81/79.05  % ------ Instantiation Options
% 78.81/79.05  
% 78.81/79.05  % --instantiation_flag                  true
% 78.81/79.05  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 78.81/79.05  % --inst_solver_per_active              750
% 78.81/79.05  % --inst_solver_calls_frac              0.5
% 78.81/79.05  % --inst_passive_queue_type             priority_queues
% 78.81/79.05  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 78.81/79.05  % --inst_passive_queues_freq            [25;2]
% 78.81/79.05  % --inst_dismatching                    true
% 78.81/79.05  % --inst_eager_unprocessed_to_passive   true
% 78.81/79.05  % --inst_prop_sim_given                 true
% 78.81/79.05  % --inst_prop_sim_new                   false
% 78.81/79.05  % --inst_orphan_elimination             true
% 78.81/79.05  % --inst_learning_loop_flag             true
% 78.81/79.05  % --inst_learning_start                 3000
% 78.81/79.05  % --inst_learning_factor                2
% 78.81/79.05  % --inst_start_prop_sim_after_learn     3
% 78.81/79.05  % --inst_sel_renew                      solver
% 78.81/79.05  % --inst_lit_activity_flag              true
% 78.81/79.05  % --inst_out_proof                      true
% 78.81/79.05  
% 78.81/79.05  % ------ Resolution Options
% 78.81/79.05  
% 78.81/79.05  % --resolution_flag                     true
% 78.81/79.05  % --res_lit_sel                         kbo_max
% 78.81/79.05  % --res_to_prop_solver                  none
% 78.81/79.05  % --res_prop_simpl_new                  false
% 78.81/79.05  % --res_prop_simpl_given                false
% 78.81/79.05  % --res_passive_queue_type              priority_queues
% 78.81/79.05  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 78.81/79.05  % --res_passive_queues_freq             [15;5]
% 78.81/79.05  % --res_forward_subs                    full
% 78.81/79.05  % --res_backward_subs                   full
% 78.81/79.05  % --res_forward_subs_resolution         true
% 78.81/79.05  % --res_backward_subs_resolution        true
% 78.81/79.05  % --res_orphan_elimination              false
% 78.81/79.05  % --res_time_limit                      1000.
% 78.81/79.05  % --res_out_proof                       true
% 78.81/79.05  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_0fa6ec.s
% 78.81/79.05  % --modulo                              true
% 78.81/79.05  
% 78.81/79.05  % ------ Combination Options
% 78.81/79.05  
% 78.81/79.05  % --comb_res_mult                       1000
% 78.81/79.05  % --comb_inst_mult                      300
% 78.81/79.05  % ------ 
% 78.81/79.05  
% 78.81/79.05  % ------ Parsing...% successful
% 78.81/79.05  
% 78.81/79.05  % ------ 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 % 
% 78.81/79.05  
% 78.81/79.05  % ------ Proving...
% 78.81/79.05  % ------ Problem Properties 
% 78.81/79.05  
% 78.81/79.05  % 
% 78.81/79.05  % EPR                                   false
% 78.81/79.05  % Horn                                  false
% 78.81/79.05  % Has equality                          true
% 78.81/79.05  
% 78.81/79.05  % % ------ Input Options Time Limit: Unbounded
% 78.81/79.05  
% 78.81/79.05  
% 78.81/79.05  % % ------ Current options:
% 78.81/79.05  
% 78.81/79.05  % ------ Input Options
% 78.81/79.05  
% 78.81/79.05  % --out_options                         all
% 78.81/79.05  % --tptp_safe_out                       true
% 78.81/79.05  % --problem_path                        ""
% 78.81/79.05  % --include_path                        ""
% 78.81/79.05  % --clausifier                          .//eprover
% 78.81/79.05  % --clausifier_options                  --tstp-format  
% 78.81/79.05  % --stdin                               false
% 78.81/79.05  % --dbg_backtrace                       false
% 78.81/79.05  % --dbg_dump_prop_clauses               false
% 78.81/79.05  % --dbg_dump_prop_clauses_file          -
% 78.81/79.05  % --dbg_out_stat                        false
% 78.81/79.05  
% 78.81/79.05  % ------ General Options
% 78.81/79.05  
% 78.81/79.05  % --fof                                 false
% 78.81/79.05  % --time_out_real                       150.
% 78.81/79.05  % --time_out_prep_mult                  0.2
% 78.81/79.05  % --time_out_virtual                    -1.
% 78.81/79.05  % --schedule                            none
% 78.81/79.05  % --ground_splitting                    input
% 78.81/79.05  % --splitting_nvd                       16
% 78.81/79.05  % --non_eq_to_eq                        false
% 78.81/79.05  % --prep_gs_sim                         true
% 78.81/79.05  % --prep_unflatten                      false
% 78.81/79.05  % --prep_res_sim                        true
% 78.81/79.05  % --prep_upred                          true
% 78.81/79.05  % --res_sim_input                       true
% 78.81/79.05  % --clause_weak_htbl                    true
% 78.81/79.05  % --gc_record_bc_elim                   false
% 78.81/79.05  % --symbol_type_check                   false
% 78.81/79.05  % --clausify_out                        false
% 78.81/79.05  % --large_theory_mode                   false
% 78.81/79.05  % --prep_sem_filter                     none
% 78.81/79.05  % --prep_sem_filter_out                 false
% 78.81/79.05  % --preprocessed_out                    false
% 78.81/79.05  % --sub_typing                          false
% 78.81/79.05  % --brand_transform                     false
% 78.81/79.05  % --pure_diseq_elim                     true
% 78.81/79.05  % --min_unsat_core                      false
% 78.81/79.05  % --pred_elim                           true
% 78.81/79.05  % --add_important_lit                   false
% 78.81/79.05  % --soft_assumptions                    false
% 78.81/79.05  % --reset_solvers                       false
% 78.81/79.05  % --bc_imp_inh                          []
% 78.81/79.05  % --conj_cone_tolerance                 1.5
% 78.81/79.05  % --prolific_symb_bound                 500
% 78.81/79.05  % --lt_threshold                        2000
% 78.81/79.05  
% 78.81/79.05  % ------ SAT Options
% 78.81/79.05  
% 78.81/79.05  % --sat_mode                            false
% 78.81/79.05  % --sat_fm_restart_options              ""
% 78.81/79.05  % --sat_gr_def                          false
% 78.81/79.05  % --sat_epr_types                       true
% 78.81/79.05  % --sat_non_cyclic_types                false
% 78.81/79.05  % --sat_finite_models                   false
% 78.81/79.05  % --sat_fm_lemmas                       false
% 78.81/79.05  % --sat_fm_prep                         false
% 78.81/79.05  % --sat_fm_uc_incr                      true
% 78.81/79.05  % --sat_out_model                       small
% 78.81/79.05  % --sat_out_clauses                     false
% 78.81/79.05  
% 78.81/79.05  % ------ QBF Options
% 78.81/79.05  
% 78.81/79.05  % --qbf_mode                            false
% 78.81/79.05  % --qbf_elim_univ                       true
% 78.81/79.05  % --qbf_sk_in                           true
% 78.81/79.05  % --qbf_pred_elim                       true
% 78.81/79.05  % --qbf_split                           32
% 78.81/79.05  
% 78.81/79.05  % ------ BMC1 Options
% 78.81/79.05  
% 78.81/79.05  % --bmc1_incremental                    false
% 78.81/79.05  % --bmc1_axioms                         reachable_all
% 78.81/79.05  % --bmc1_min_bound                      0
% 78.81/79.05  % --bmc1_max_bound                      -1
% 78.81/79.05  % --bmc1_max_bound_default              -1
% 78.81/79.05  % --bmc1_symbol_reachability            true
% 78.81/79.05  % --bmc1_property_lemmas                false
% 78.81/79.05  % --bmc1_k_induction                    false
% 78.81/79.05  % --bmc1_non_equiv_states               false
% 78.81/79.05  % --bmc1_deadlock                       false
% 78.81/79.05  % --bmc1_ucm                            false
% 78.81/79.05  % --bmc1_add_unsat_core                 none
% 78.81/79.05  % --bmc1_unsat_core_children            false
% 78.81/79.05  % --bmc1_unsat_core_extrapolate_axioms  false
% 78.81/79.05  % --bmc1_out_stat                       full
% 78.81/79.05  % --bmc1_ground_init                    false
% 78.81/79.05  % --bmc1_pre_inst_next_state            false
% 78.81/79.05  % --bmc1_pre_inst_state                 false
% 78.81/79.05  % --bmc1_pre_inst_reach_state           false
% 78.81/79.05  % --bmc1_out_unsat_core                 false
% 78.81/79.05  % --bmc1_aig_witness_out                false
% 78.81/79.05  % --bmc1_verbose                        false
% 78.81/79.05  % --bmc1_dump_clauses_tptp              false
% 78.81/79.05  % --bmc1_dump_unsat_core_tptp           false
% 78.81/79.05  % --bmc1_dump_file                      -
% 78.81/79.05  % --bmc1_ucm_expand_uc_limit            128
% 78.81/79.05  % --bmc1_ucm_n_expand_iterations        6
% 78.81/79.05  % --bmc1_ucm_extend_mode                1
% 78.81/79.05  % --bmc1_ucm_init_mode                  2
% 78.81/79.05  % --bmc1_ucm_cone_mode                  none
% 78.81/79.05  % --bmc1_ucm_reduced_relation_type      0
% 78.81/79.05  % --bmc1_ucm_relax_model                4
% 78.81/79.05  % --bmc1_ucm_full_tr_after_sat          true
% 78.81/79.05  % --bmc1_ucm_expand_neg_assumptions     false
% 78.81/79.05  % --bmc1_ucm_layered_model              none
% 78.81/79.05  % --bmc1_ucm_max_lemma_size             10
% 78.81/79.05  
% 78.81/79.05  % ------ AIG Options
% 78.81/79.05  
% 78.81/79.05  % --aig_mode                            false
% 78.81/79.05  
% 78.81/79.05  % ------ Instantiation Options
% 78.81/79.05  
% 78.81/79.05  % --instantiation_flag                  true
% 78.81/79.05  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 78.81/79.05  % --inst_solver_per_active              750
% 78.81/79.05  % --inst_solver_calls_frac              0.5
% 78.81/79.05  % --inst_passive_queue_type             priority_queues
% 78.81/79.05  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 78.81/79.05  % --inst_passive_queues_freq            [25;2]
% 78.81/79.05  % --inst_dismatching                    true
% 78.81/79.05  % --inst_eager_unprocessed_to_passive   true
% 78.81/79.05  % --inst_prop_sim_given                 true
% 190.39/190.64  % --inst_prop_sim_new                   false
% 190.39/190.64  % --inst_orphan_elimination             true
% 190.39/190.64  % --inst_learning_loop_flag             true
% 190.39/190.64  % --inst_learning_start                 3000
% 190.39/190.64  % --inst_learning_factor                2
% 190.39/190.64  % --inst_start_prop_sim_after_learn     3
% 190.39/190.64  % --inst_sel_renew                      solver
% 190.39/190.64  % --inst_lit_activity_flag              true
% 190.39/190.64  % --inst_out_proof                      true
% 190.39/190.64  
% 190.39/190.64  % ------ Resolution Options
% 190.39/190.64  
% 190.39/190.64  % --resolution_flag                     true
% 190.39/190.64  % --res_lit_sel                         kbo_max
% 190.39/190.64  % --res_to_prop_solver                  none
% 190.39/190.64  % --res_prop_simpl_new                  false
% 190.39/190.64  % --res_prop_simpl_given                false
% 190.39/190.64  % --res_passive_queue_type              priority_queues
% 190.39/190.64  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 190.39/190.64  % --res_passive_queues_freq             [15;5]
% 190.39/190.64  % --res_forward_subs                    full
% 190.39/190.64  % --res_backward_subs                   full
% 190.39/190.64  % --res_forward_subs_resolution         true
% 190.39/190.64  % --res_backward_subs_resolution        true
% 190.39/190.64  % --res_orphan_elimination              false
% 190.39/190.64  % --res_time_limit                      1000.
% 190.39/190.64  % --res_out_proof                       true
% 190.39/190.64  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_0fa6ec.s
% 190.39/190.64  % --modulo                              true
% 190.39/190.64  
% 190.39/190.64  % ------ Combination Options
% 190.39/190.64  
% 190.39/190.64  % --comb_res_mult                       1000
% 190.39/190.64  % --comb_inst_mult                      300
% 190.39/190.64  % ------ 
% 190.39/190.64  
% 190.39/190.64  
% 190.39/190.64  
% 190.39/190.64  % ------ Proving...
% 190.39/190.64  % warning:  shown sat in sat incomplete mode 
% 190.39/190.64  % 
% 190.39/190.64  
% 190.39/190.64  
% 190.39/190.64  ------ Building Model...Done
% 190.39/190.64  
% 190.39/190.64  %------ The model is defined over ground terms (initial term algebra).
% 190.39/190.64  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 190.39/190.64  %------ where \phi is a formula over the term algebra.
% 190.39/190.64  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 190.39/190.64  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 190.39/190.64  %------ See help for --sat_out_model for different model outputs.
% 190.39/190.64  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 190.39/190.64  %------ where the first argument stands for the sort ($i in the unsorted case)
% 190.39/190.64  
% 190.39/190.64  
% 190.39/190.64  
% 190.39/190.64  
% 190.39/190.64  %------ Negative definition of equality_sorted 
% 190.39/190.64  fof(lit_def,axiom,
% 190.39/190.64      (! [X0,X0,X1] : 
% 190.39/190.64        ( ~(equality_sorted(X0,X0,X1)) <=>
% 190.39/190.64             (
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(n0)) & X1=s(n0) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(n0))) & X1=s(n0) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(n0))) & X1=s(s(n0)) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(n0)))) & X1=s(n0) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(n0)))) & X1=s(s(n0)) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(n0)))) & X1=s(s(s(n0))) )
% 190.39/190.64                )
% 190.39/190.64  
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% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(n0))))) & X1=s(n0) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(n0))))) & X1=s(s(n0)) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(n0))))) & X1=s(s(s(n0))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(n0))))) & X1=s(s(s(s(n0)))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(n0)))))) & X1=s(n0) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(n0)))))) & X1=s(s(n0)) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(n0))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(s(n0)))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(n0)))))) & X1=s(s(s(s(s(n0))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(n0))))))) & X1=s(n0) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(n0)) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(s(n0))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(s(s(n0)))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(s(s(s(n0))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(n0))))))) & X1=s(s(s(s(s(s(n0)))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(n0) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(n0)) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(s(n0))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(s(s(n0)))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(s(s(s(n0))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(s(s(s(s(n0)))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(s(n0)))))))) & X1=s(s(s(s(s(s(s(n0))))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(n0) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(s(n0)) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(s(s(n0))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(s(s(s(n0)))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(s(s(s(s(n0))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(s(s(s(s(s(n0)))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(s(s(s(s(s(s(n0))))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=$i & X0=s(s(s(s(s(s(s(s(s(n0))))))))) & X1=s(s(s(s(s(s(s(s(n0)))))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64             )
% 190.39/190.64        )
% 190.39/190.64      )
% 190.39/190.64     ).
% 190.39/190.64  
% 190.39/190.64  %------ Positive definition of dom 
% 190.39/190.64  fof(lit_def,axiom,
% 190.39/190.64      (! [X0] : 
% 190.39/190.64        ( dom(X0) <=>
% 190.39/190.64             (
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(n0) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(n0)) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(s(n0))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(s(s(n0)))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(s(s(s(n0))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(s(s(s(s(n0)))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(s(s(s(s(s(n0))))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(s(s(s(s(s(s(n0)))))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64             )
% 190.39/190.64        )
% 190.39/190.64      )
% 190.39/190.64     ).
% 190.39/190.64  
% 190.39/190.64  %------ Positive definition of el 
% 190.39/190.64  fof(lit_def,axiom,
% 190.39/190.64      (! [X0,X1,X2] : 
% 190.39/190.64        ( el(X0,X1,X2) <=>
% 190.39/190.64             (
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(n0) & X1=s(n0) & X2=s(s(s(s(n0)))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(n0) & X1=s(s(n0)) & X2=s(s(s(s(s(n0))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(n0) & X1=s(s(s(n0))) & X2=s(s(s(s(s(s(s(n0))))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(n0) & X1=s(s(s(s(n0)))) & X2=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(n0) & X1=s(s(s(s(s(n0))))) & X2=s(s(s(s(s(s(s(s(n0)))))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(n0) & X1=s(s(s(s(s(s(n0)))))) & X2=s(n0) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(n0) & X1=s(s(s(s(s(s(s(n0))))))) & X2=s(s(s(n0))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(n0) & X1=s(s(s(s(s(s(s(s(n0)))))))) & X2=s(s(s(s(s(s(n0)))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(n0) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) & X2=s(s(n0)) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(n0)) & X1=s(n0) & X2=s(s(s(s(s(s(s(s(n0)))))))) )
% 190.39/190.64                )
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% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(n0)) & X1=s(s(n0)) & X2=s(s(s(n0))) )
% 190.39/190.64                )
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% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(n0)) & X1=s(s(s(n0))) & X2=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 190.39/190.64                )
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% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(n0)) & X1=s(s(s(s(n0)))) & X2=s(s(n0)) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(n0)) & X1=s(s(s(s(s(n0))))) & X2=s(s(s(s(s(n0))))) )
% 190.39/190.64                )
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% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(n0)) & X1=s(s(s(s(s(s(n0)))))) & X2=s(s(s(s(s(s(n0)))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(n0)) & X1=s(s(s(s(s(s(s(n0))))))) & X2=s(s(s(s(n0)))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(n0)) & X1=s(s(s(s(s(s(s(s(n0)))))))) & X2=s(s(s(s(s(s(s(n0))))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(n0)) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) & X2=s(n0) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(s(n0))) & X1=s(n0) & X2=s(n0) )
% 190.39/190.64                )
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% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(s(n0))) & X1=s(s(n0)) & X2=s(s(n0)) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(s(n0))) & X1=s(s(s(n0))) & X2=s(s(s(s(s(s(n0)))))) )
% 190.39/190.64                )
% 190.39/190.64  
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% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(s(n0))) & X1=s(s(s(s(n0)))) & X2=s(s(s(s(n0)))) )
% 190.39/190.64                )
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% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(s(n0))) & X1=s(s(s(s(s(n0))))) & X2=s(s(s(n0))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(s(n0))) & X1=s(s(s(s(s(s(n0)))))) & X2=s(s(s(s(s(s(s(n0))))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(s(n0))) & X1=s(s(s(s(s(s(s(n0))))))) & X2=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(s(n0))) & X1=s(s(s(s(s(s(s(s(n0)))))))) & X2=s(s(s(s(s(s(s(s(n0)))))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(s(n0))) & X1=s(s(s(s(s(s(s(s(s(n0))))))))) & X2=s(s(s(s(s(n0))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(s(s(n0)))) & X1=s(n0) & X2=s(s(s(s(s(s(s(s(s(n0))))))))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( X0=s(s(s(s(n0)))) & X1=s(s(n0)) & X2=s(s(s(s(n0)))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64               | 
% 190.39/190.64                (
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% 190.39/190.64               | 
% 190.39/190.64                (
% 190.39/190.64                  ( 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(n0))) )
% 190.39/190.64                )
% 190.39/190.64  
% 190.39/190.64             )
% 190.39/190.64        )
% 190.39/190.64      )
% 190.39/190.64     ).
% 190.39/190.64  
% 190.39/190.64  
% 190.39/190.64  
% 190.39/190.64  % ------                             Statistics
% 190.39/190.64  
% 190.39/190.64  % ------ General
% 190.39/190.64  
% 190.39/190.64  % num_of_input_clauses:                 112
% 190.39/190.64  % num_of_input_neg_conjectures:         0
% 190.39/190.64  % num_of_splits:                        0
% 190.39/190.64  % num_of_split_atoms:                   0
% 190.39/190.64  % num_of_sem_filtered_clauses:          0
% 190.39/190.64  % num_of_subtypes:                      0
% 190.39/190.64  % monotx_restored_types:                0
% 190.39/190.64  % sat_num_of_epr_types:                 0
% 190.39/190.64  % sat_num_of_non_cyclic_types:          0
% 190.39/190.64  % sat_guarded_non_collapsed_types:      0
% 190.39/190.64  % is_epr:                               0
% 190.39/190.64  % is_horn:                              0
% 190.39/190.64  % has_eq:                               1
% 190.39/190.64  % num_pure_diseq_elim:                  0
% 190.39/190.64  % simp_replaced_by:                     0
% 190.39/190.64  % res_preprocessed:                     30
% 190.39/190.64  % prep_upred:                           0
% 190.39/190.64  % prep_unflattend:                      342
% 190.39/190.64  % pred_elim_cands:                      3
% 190.39/190.64  % pred_elim:                            1
% 190.39/190.64  % pred_elim_cl:                         -143
% 190.39/190.64  % pred_elim_cycles:                     2
% 190.39/190.64  % forced_gc_time:                       0
% 190.39/190.64  % gc_basic_clause_elim:                 0
% 190.39/190.64  % parsing_time:                         0.004
% 190.39/190.64  % sem_filter_time:                      0.
% 190.39/190.64  % pred_elim_time:                       0.045
% 190.39/190.64  % out_proof_time:                       0.
% 190.39/190.64  % monotx_time:                          0.
% 190.39/190.64  % subtype_inf_time:                     0.
% 190.39/190.64  % unif_index_cands_time:                0.087
% 190.39/190.64  % unif_index_add_time:                  0.037
% 190.39/190.64  % total_time:                           111.658
% 190.39/190.64  % num_of_symbols:                       30
% 190.39/190.64  % num_of_terms:                         4474
% 190.39/190.64  
% 190.39/190.64  % ------ Propositional Solver
% 190.39/190.64  
% 190.39/190.64  % prop_solver_calls:                    24
% 190.39/190.64  % prop_fast_solver_calls:               606
% 190.39/190.64  % prop_num_of_clauses:                  7929
% 190.39/190.64  % prop_preprocess_simplified:           13651
% 190.39/190.64  % prop_fo_subsumed:                     0
% 190.39/190.64  % prop_solver_time:                     0.002
% 190.39/190.64  % prop_fast_solver_time:                0.
% 190.39/190.64  % prop_unsat_core_time:                 0.
% 190.39/190.64  
% 190.39/190.64  % ------ QBF 
% 190.39/190.64  
% 190.39/190.64  % qbf_q_res:                            0
% 190.39/190.64  % qbf_num_tautologies:                  0
% 190.39/190.64  % qbf_prep_cycles:                      0
% 190.39/190.64  
% 190.39/190.64  % ------ BMC1
% 190.39/190.64  
% 190.39/190.64  % bmc1_current_bound:                   -1
% 190.39/190.64  % bmc1_last_solved_bound:               -1
% 190.39/190.64  % bmc1_unsat_core_size:                 -1
% 190.39/190.64  % bmc1_unsat_core_parents_size:         -1
% 190.39/190.64  % bmc1_merge_next_fun:                  0
% 190.39/190.64  % bmc1_unsat_core_clauses_time:         0.
% 190.39/190.64  
% 190.39/190.64  % ------ Instantiation
% 190.39/190.64  
% 190.39/190.64  % inst_num_of_clauses:                  3624
% 190.39/190.64  % inst_num_in_passive:                  0
% 190.39/190.64  % inst_num_in_active:                   3624
% 190.39/190.64  % inst_num_in_unprocessed:              0
% 190.39/190.64  % inst_num_of_loops:                    4361
% 190.39/190.64  % inst_num_of_learning_restarts:        1
% 190.39/190.64  % inst_num_moves_active_passive:        733
% 190.39/190.64  % inst_lit_activity:                    182
% 190.39/190.64  % inst_lit_activity_moves:              0
% 190.39/190.64  % inst_num_tautologies:                 0
% 190.39/190.64  % inst_num_prop_implied:                0
% 190.39/190.64  % inst_num_existing_simplified:         0
% 190.39/190.64  % inst_num_eq_res_simplified:           0
% 190.39/190.64  % inst_num_child_elim:                  0
% 190.39/190.64  % inst_num_of_dismatching_blockings:    0
% 190.39/190.64  % inst_num_of_non_proper_insts:         4783
% 190.39/190.64  % inst_num_of_duplicates:               774
% 190.39/190.64  % inst_inst_num_from_inst_to_res:       0
% 190.39/190.64  % inst_dismatching_checking_time:       0.016
% 190.39/190.64  
% 190.39/190.64  % ------ Resolution
% 190.39/190.64  
% 190.39/190.64  % res_num_of_clauses:                   179133
% 190.39/190.64  % res_num_in_passive:                   179917
% 190.39/190.64  % res_num_in_active:                    4057
% 190.39/190.64  % res_num_of_loops:                     25000
% 190.39/190.64  % res_forward_subset_subsumed:          216077
% 190.39/190.64  % res_backward_subset_subsumed:         5719
% 190.39/190.64  % res_forward_subsumed:                 19184
% 190.39/190.64  % res_backward_subsumed:                1354
% 190.39/190.64  % res_forward_subsumption_resolution:   2707
% 190.39/190.64  % res_backward_subsumption_resolution:  40
% 190.39/190.64  % res_clause_to_clause_subsumption:     1515657
% 190.39/190.64  % res_orphan_elimination:               0
% 190.39/190.64  % res_tautology_del:                    34523
% 190.39/190.64  % res_num_eq_res_simplified:            0
% 190.39/190.64  % res_num_sel_changes:                  0
% 190.39/190.64  % res_moves_from_active_to_pass:        0
% 190.39/190.64  
% 190.39/190.64  % Status Unknown
% 190.39/190.64  % Last status :
% 190.39/190.64  % SZS status Unknown
%------------------------------------------------------------------------------