TSTP Solution File: LCL538+1 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : LCL538+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n027.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 : Sun Jul 17 11:34:11 EDT 2022

% Result   : Unknown 150.28s 150.54s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL538+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13  % Command  : iprover_modulo %s %d
% 0.14/0.33  % Computer : n027.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Mon Jul  4 21:02:26 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.14/0.34  % Running in mono-core mode
% 0.20/0.41  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.41  % FOF problem with conjecture
% 0.20/0.41  % 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/sandbox/tmp/iprover_proof_39cd65.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_a3981f.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_81076c | grep -v "SZS"
% 0.20/0.43  
% 0.20/0.43  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------  iProver source info 
% 0.20/0.43  
% 0.20/0.43  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.43  % git: non_committed_changes: true
% 0.20/0.43  % git: last_make_outside_of_git: true
% 0.20/0.43  
% 0.20/0.43  % 
% 0.20/0.43  % ------ Input Options
% 0.20/0.43  
% 0.20/0.43  % --out_options                         all
% 0.20/0.43  % --tptp_safe_out                       true
% 0.20/0.43  % --problem_path                        ""
% 0.20/0.43  % --include_path                        ""
% 0.20/0.43  % --clausifier                          .//eprover
% 0.20/0.43  % --clausifier_options                  --tstp-format  
% 0.20/0.43  % --stdin                               false
% 0.20/0.43  % --dbg_backtrace                       false
% 0.20/0.43  % --dbg_dump_prop_clauses               false
% 0.20/0.43  % --dbg_dump_prop_clauses_file          -
% 0.20/0.43  % --dbg_out_stat                        false
% 0.20/0.43  
% 0.20/0.43  % ------ General Options
% 0.20/0.43  
% 0.20/0.43  % --fof                                 false
% 0.20/0.43  % --time_out_real                       150.
% 0.20/0.43  % --time_out_prep_mult                  0.2
% 0.20/0.43  % --time_out_virtual                    -1.
% 0.20/0.43  % --schedule                            none
% 0.20/0.43  % --ground_splitting                    input
% 0.20/0.43  % --splitting_nvd                       16
% 0.20/0.43  % --non_eq_to_eq                        false
% 0.20/0.43  % --prep_gs_sim                         true
% 0.20/0.43  % --prep_unflatten                      false
% 0.20/0.43  % --prep_res_sim                        true
% 0.20/0.43  % --prep_upred                          true
% 0.20/0.43  % --res_sim_input                       true
% 0.20/0.43  % --clause_weak_htbl                    true
% 0.20/0.43  % --gc_record_bc_elim                   false
% 0.20/0.43  % --symbol_type_check                   false
% 0.20/0.43  % --clausify_out                        false
% 0.20/0.43  % --large_theory_mode                   false
% 0.20/0.43  % --prep_sem_filter                     none
% 0.20/0.43  % --prep_sem_filter_out                 false
% 0.20/0.43  % --preprocessed_out                    false
% 0.20/0.43  % --sub_typing                          false
% 0.20/0.43  % --brand_transform                     false
% 0.20/0.43  % --pure_diseq_elim                     true
% 0.20/0.43  % --min_unsat_core                      false
% 0.20/0.43  % --pred_elim                           true
% 0.20/0.43  % --add_important_lit                   false
% 0.20/0.43  % --soft_assumptions                    false
% 0.20/0.43  % --reset_solvers                       false
% 0.20/0.43  % --bc_imp_inh                          []
% 0.20/0.43  % --conj_cone_tolerance                 1.5
% 0.20/0.43  % --prolific_symb_bound                 500
% 0.20/0.43  % --lt_threshold                        2000
% 0.20/0.43  
% 0.20/0.43  % ------ SAT Options
% 0.20/0.43  
% 0.20/0.43  % --sat_mode                            false
% 0.20/0.43  % --sat_fm_restart_options              ""
% 0.20/0.43  % --sat_gr_def                          false
% 0.20/0.43  % --sat_epr_types                       true
% 0.20/0.43  % --sat_non_cyclic_types                false
% 0.20/0.43  % --sat_finite_models                   false
% 0.20/0.43  % --sat_fm_lemmas                       false
% 0.20/0.43  % --sat_fm_prep                         false
% 0.20/0.43  % --sat_fm_uc_incr                      true
% 0.20/0.43  % --sat_out_model                       small
% 0.20/0.43  % --sat_out_clauses                     false
% 0.20/0.43  
% 0.20/0.43  % ------ QBF Options
% 0.20/0.43  
% 0.20/0.43  % --qbf_mode                            false
% 0.20/0.43  % --qbf_elim_univ                       true
% 0.20/0.43  % --qbf_sk_in                           true
% 0.20/0.43  % --qbf_pred_elim                       true
% 0.20/0.43  % --qbf_split                           32
% 0.20/0.43  
% 0.20/0.43  % ------ BMC1 Options
% 0.20/0.43  
% 0.20/0.43  % --bmc1_incremental                    false
% 0.20/0.43  % --bmc1_axioms                         reachable_all
% 0.20/0.43  % --bmc1_min_bound                      0
% 0.20/0.43  % --bmc1_max_bound                      -1
% 0.20/0.43  % --bmc1_max_bound_default              -1
% 0.20/0.43  % --bmc1_symbol_reachability            true
% 0.20/0.43  % --bmc1_property_lemmas                false
% 0.20/0.43  % --bmc1_k_induction                    false
% 0.20/0.43  % --bmc1_non_equiv_states               false
% 0.20/0.43  % --bmc1_deadlock                       false
% 0.20/0.43  % --bmc1_ucm                            false
% 0.20/0.43  % --bmc1_add_unsat_core                 none
% 0.20/0.43  % --bmc1_unsat_core_children            false
% 0.20/0.43  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.43  % --bmc1_out_stat                       full
% 0.20/0.43  % --bmc1_ground_init                    false
% 0.20/0.43  % --bmc1_pre_inst_next_state            false
% 0.20/0.43  % --bmc1_pre_inst_state                 false
% 0.20/0.43  % --bmc1_pre_inst_reach_state           false
% 0.20/0.43  % --bmc1_out_unsat_core                 false
% 0.20/0.43  % --bmc1_aig_witness_out                false
% 0.20/0.43  % --bmc1_verbose                        false
% 0.20/0.43  % --bmc1_dump_clauses_tptp              false
% 0.20/0.45  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.45  % --bmc1_dump_file                      -
% 0.20/0.45  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.45  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.45  % --bmc1_ucm_extend_mode                1
% 0.20/0.45  % --bmc1_ucm_init_mode                  2
% 0.20/0.45  % --bmc1_ucm_cone_mode                  none
% 0.20/0.45  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.45  % --bmc1_ucm_relax_model                4
% 0.20/0.45  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.45  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.45  % --bmc1_ucm_layered_model              none
% 0.20/0.45  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.45  
% 0.20/0.45  % ------ AIG Options
% 0.20/0.45  
% 0.20/0.45  % --aig_mode                            false
% 0.20/0.45  
% 0.20/0.45  % ------ Instantiation Options
% 0.20/0.45  
% 0.20/0.45  % --instantiation_flag                  true
% 0.20/0.45  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.45  % --inst_solver_per_active              750
% 0.20/0.45  % --inst_solver_calls_frac              0.5
% 0.20/0.45  % --inst_passive_queue_type             priority_queues
% 0.20/0.45  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.45  % --inst_passive_queues_freq            [25;2]
% 0.20/0.45  % --inst_dismatching                    true
% 0.20/0.45  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.45  % --inst_prop_sim_given                 true
% 0.20/0.45  % --inst_prop_sim_new                   false
% 0.20/0.45  % --inst_orphan_elimination             true
% 0.20/0.45  % --inst_learning_loop_flag             true
% 0.20/0.45  % --inst_learning_start                 3000
% 0.20/0.45  % --inst_learning_factor                2
% 0.20/0.45  % --inst_start_prop_sim_after_learn     3
% 0.20/0.45  % --inst_sel_renew                      solver
% 0.20/0.45  % --inst_lit_activity_flag              true
% 0.20/0.45  % --inst_out_proof                      true
% 0.20/0.45  
% 0.20/0.45  % ------ Resolution Options
% 0.20/0.45  
% 0.20/0.45  % --resolution_flag                     true
% 0.20/0.45  % --res_lit_sel                         kbo_max
% 0.20/0.45  % --res_to_prop_solver                  none
% 0.20/0.45  % --res_prop_simpl_new                  false
% 0.20/0.45  % --res_prop_simpl_given                false
% 0.20/0.45  % --res_passive_queue_type              priority_queues
% 0.20/0.45  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.45  % --res_passive_queues_freq             [15;5]
% 0.20/0.45  % --res_forward_subs                    full
% 0.20/0.45  % --res_backward_subs                   full
% 0.20/0.45  % --res_forward_subs_resolution         true
% 0.20/0.45  % --res_backward_subs_resolution        true
% 0.20/0.45  % --res_orphan_elimination              false
% 0.20/0.45  % --res_time_limit                      1000.
% 0.20/0.45  % --res_out_proof                       true
% 0.20/0.45  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_39cd65.s
% 0.20/0.45  % --modulo                              true
% 0.20/0.45  
% 0.20/0.45  % ------ Combination Options
% 0.20/0.45  
% 0.20/0.45  % --comb_res_mult                       1000
% 0.20/0.45  % --comb_inst_mult                      300
% 0.20/0.45  % ------ 
% 0.20/0.45  
% 0.20/0.45  % ------ Parsing...% successful
% 0.20/0.45  
% 0.20/0.45  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.20/0.45  
% 0.20/0.45  % ------ Proving...
% 0.20/0.45  % ------ Problem Properties 
% 0.20/0.45  
% 0.20/0.45  % 
% 0.20/0.45  % EPR                                   false
% 0.20/0.45  % Horn                                  false
% 0.20/0.45  % Has equality                          true
% 0.20/0.45  
% 0.20/0.45  % % ------ Input Options Time Limit: Unbounded
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  % % ------ Current options:
% 0.20/0.45  
% 0.20/0.45  % ------ Input Options
% 0.20/0.45  
% 0.20/0.45  % --out_options                         all
% 0.20/0.45  % --tptp_safe_out                       true
% 0.20/0.45  % --problem_path                        ""
% 0.20/0.45  % --include_path                        ""
% 0.20/0.45  % --clausifier                          .//eprover
% 0.20/0.45  % --clausifier_options                  --tstp-format  
% 0.20/0.45  % --stdin                               false
% 0.20/0.45  % --dbg_backtrace                       false
% 0.20/0.45  % --dbg_dump_prop_clauses               false
% 0.20/0.45  % --dbg_dump_prop_clauses_file          -
% 0.20/0.45  % --dbg_out_stat                        false
% 0.20/0.45  
% 0.20/0.45  % ------ General Options
% 0.20/0.45  
% 0.20/0.45  % --fof                                 false
% 0.20/0.45  % --time_out_real                       150.
% 0.20/0.45  % --time_out_prep_mult                  0.2
% 0.20/0.45  % --time_out_virtual                    -1.
% 0.20/0.45  % --schedule                            none
% 0.20/0.45  % --ground_splitting                    input
% 0.20/0.45  % --splitting_nvd                       16
% 0.20/0.45  % --non_eq_to_eq                        false
% 0.20/0.45  % --prep_gs_sim                         true
% 0.20/0.45  % --prep_unflatten                      false
% 0.20/0.45  % --prep_res_sim                        true
% 0.20/0.45  % --prep_upred                          true
% 0.20/0.45  % --res_sim_input                       true
% 0.20/0.45  % --clause_weak_htbl                    true
% 0.20/0.45  % --gc_record_bc_elim                   false
% 0.20/0.45  % --symbol_type_check                   false
% 0.20/0.45  % --clausify_out                        false
% 0.20/0.45  % --large_theory_mode                   false
% 0.20/0.45  % --prep_sem_filter                     none
% 0.20/0.45  % --prep_sem_filter_out                 false
% 0.20/0.45  % --preprocessed_out                    false
% 0.20/0.45  % --sub_typing                          false
% 0.20/0.45  % --brand_transform                     false
% 0.20/0.45  % --pure_diseq_elim                     true
% 0.20/0.45  % --min_unsat_core                      false
% 0.20/0.45  % --pred_elim                           true
% 0.20/0.45  % --add_important_lit                   false
% 0.20/0.45  % --soft_assumptions                    false
% 0.20/0.45  % --reset_solvers                       false
% 0.20/0.45  % --bc_imp_inh                          []
% 0.20/0.45  % --conj_cone_tolerance                 1.5
% 0.20/0.45  % --prolific_symb_bound                 500
% 0.20/0.45  % --lt_threshold                        2000
% 0.20/0.45  
% 0.20/0.45  % ------ SAT Options
% 0.20/0.45  
% 0.20/0.45  % --sat_mode                            false
% 0.20/0.45  % --sat_fm_restart_options              ""
% 0.20/0.45  % --sat_gr_def                          false
% 0.20/0.45  % --sat_epr_types                       true
% 0.20/0.45  % --sat_non_cyclic_types                false
% 0.20/0.45  % --sat_finite_models                   false
% 0.20/0.45  % --sat_fm_lemmas                       false
% 0.20/0.45  % --sat_fm_prep                         false
% 0.20/0.45  % --sat_fm_uc_incr                      true
% 0.20/0.45  % --sat_out_model                       small
% 0.20/0.45  % --sat_out_clauses                     false
% 0.20/0.45  
% 0.20/0.45  % ------ QBF Options
% 0.20/0.45  
% 0.20/0.45  % --qbf_mode                            false
% 0.20/0.45  % --qbf_elim_univ                       true
% 0.20/0.45  % --qbf_sk_in                           true
% 0.20/0.45  % --qbf_pred_elim                       true
% 0.20/0.45  % --qbf_split                           32
% 0.20/0.45  
% 0.20/0.45  % ------ BMC1 Options
% 0.20/0.45  
% 0.20/0.45  % --bmc1_incremental                    false
% 0.20/0.45  % --bmc1_axioms                         reachable_all
% 0.20/0.45  % --bmc1_min_bound                      0
% 0.20/0.45  % --bmc1_max_bound                      -1
% 0.20/0.45  % --bmc1_max_bound_default              -1
% 0.20/0.45  % --bmc1_symbol_reachability            true
% 0.20/0.45  % --bmc1_property_lemmas                false
% 0.20/0.45  % --bmc1_k_induction                    false
% 0.20/0.45  % --bmc1_non_equiv_states               false
% 0.20/0.45  % --bmc1_deadlock                       false
% 0.20/0.45  % --bmc1_ucm                            false
% 0.20/0.45  % --bmc1_add_unsat_core                 none
% 0.20/0.45  % --bmc1_unsat_core_children            false
% 0.20/0.45  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.45  % --bmc1_out_stat                       full
% 0.20/0.45  % --bmc1_ground_init                    false
% 0.20/0.45  % --bmc1_pre_inst_next_state            false
% 0.20/0.45  % --bmc1_pre_inst_state                 false
% 0.20/0.45  % --bmc1_pre_inst_reach_state           false
% 0.20/0.45  % --bmc1_out_unsat_core                 false
% 0.20/0.45  % --bmc1_aig_witness_out                false
% 0.20/0.45  % --bmc1_verbose                        false
% 0.20/0.45  % --bmc1_dump_clauses_tptp              false
% 0.20/0.45  % --bmc1_dump_unsat_core_tptp           false
% 0.20/0.45  % --bmc1_dump_file                      -
% 0.20/0.45  % --bmc1_ucm_expand_uc_limit            128
% 0.20/0.45  % --bmc1_ucm_n_expand_iterations        6
% 0.20/0.45  % --bmc1_ucm_extend_mode                1
% 0.20/0.45  % --bmc1_ucm_init_mode                  2
% 0.20/0.45  % --bmc1_ucm_cone_mode                  none
% 0.20/0.45  % --bmc1_ucm_reduced_relation_type      0
% 0.20/0.45  % --bmc1_ucm_relax_model                4
% 0.20/0.45  % --bmc1_ucm_full_tr_after_sat          true
% 0.20/0.45  % --bmc1_ucm_expand_neg_assumptions     false
% 0.20/0.45  % --bmc1_ucm_layered_model              none
% 0.20/0.45  % --bmc1_ucm_max_lemma_size             10
% 0.20/0.45  
% 0.20/0.45  % ------ AIG Options
% 0.20/0.45  
% 0.20/0.45  % --aig_mode                            false
% 0.20/0.45  
% 0.20/0.45  % ------ Instantiation Options
% 0.20/0.45  
% 0.20/0.45  % --instantiation_flag                  true
% 0.20/0.45  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.45  % --inst_solver_per_active              750
% 0.20/0.45  % --inst_solver_calls_frac              0.5
% 0.20/0.45  % --inst_passive_queue_type             priority_queues
% 0.20/0.45  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.45  % --inst_passive_queues_freq            [25;2]
% 0.20/0.45  % --inst_dismatching                    true
% 0.20/0.45  % --inst_eager_unprocessed_to_passive   true
% 0.20/0.45  % --inst_prop_sim_given                 true
% 0.20/0.45  % --inst_prop_sim_new                   false
% 0.20/0.45  % --inst_orphan_elimination             true
% 0.20/0.45  % --inst_learning_loop_flag             true
% 0.20/0.45  % --inst_learning_start                 3000
% 0.20/0.45  % --inst_learning_factor                2
% 0.20/0.45  % --inst_start_prop_sim_after_learn     3
% 0.20/0.45  % --inst_sel_renew                      solver
% 0.20/0.45  % --inst_lit_activity_flag              true
% 0.20/0.45  % --inst_out_proof                      true
% 0.20/0.45  
% 0.20/0.45  % ------ Resolution Options
% 0.20/0.45  
% 0.20/0.45  % --resolution_flag                     true
% 0.20/0.45  % --res_lit_sel                         kbo_max
% 0.20/0.45  % --res_to_prop_solver                  none
% 0.20/0.45  % --res_prop_simpl_new                  false
% 0.20/0.45  % --res_prop_simpl_given                false
% 0.20/0.45  % --res_passive_queue_type              priority_queues
% 0.20/0.45  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.45  % --res_passive_queues_freq             [15;5]
% 0.20/0.45  % --res_forward_subs                    full
% 0.20/0.45  % --res_backward_subs                   full
% 0.20/0.45  % --res_forward_subs_resolution         true
% 0.20/0.45  % --res_backward_subs_resolution        true
% 0.20/0.45  % --res_orphan_elimination              false
% 0.20/0.45  % --res_time_limit                      1000.
% 0.20/0.45  % --res_out_proof                       true
% 0.20/0.45  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_39cd65.s
% 0.20/0.45  % --modulo                              true
% 0.20/0.45  
% 0.20/0.45  % ------ Combination Options
% 0.20/0.45  
% 0.20/0.45  % --comb_res_mult                       1000
% 0.20/0.45  % --comb_inst_mult                      300
% 0.20/0.45  % ------ 
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  % ------ Proving...
% 0.20/0.45  % warning:  shown sat in sat incomplete mode 
% 0.20/0.45  % 
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  cnf(c_146,negated_conjecture,
% 0.20/0.45      ( ~ modus_ponens_strict_implies ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_4) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_203,negated_conjecture,
% 0.20/0.45      ( ~ modus_ponens_strict_implies ),
% 0.20/0.45      inference(copy,[status(esa)],[c_146]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_207,negated_conjecture,
% 0.20/0.45      ( ~ modus_ponens_strict_implies ),
% 0.20/0.45      inference(copy,[status(esa)],[c_203]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_208,negated_conjecture,
% 0.20/0.45      ( ~ modus_ponens_strict_implies ),
% 0.20/0.45      inference(copy,[status(esa)],[c_207]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_209,negated_conjecture,
% 0.20/0.45      ( ~ modus_ponens_strict_implies ),
% 0.20/0.45      inference(copy,[status(esa)],[c_208]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_649,plain,
% 0.20/0.45      ( ~ modus_ponens_strict_implies ),
% 0.20/0.45      inference(copy,[status(esa)],[c_209]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_34,plain,
% 0.20/0.45      ( is_a_theorem(sk1_esk57_0) | modus_ponens_strict_implies ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_668_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_425,plain,
% 0.20/0.45      ( is_a_theorem(sk1_esk57_0) | modus_ponens_strict_implies ),
% 0.20/0.45      inference(copy,[status(esa)],[c_34]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_655,plain,
% 0.20/0.45      ( is_a_theorem(sk1_esk57_0) ),
% 0.20/0.45      inference(backward_subsumption_resolution,[status(thm)],[c_649,c_425]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_656,plain,
% 0.20/0.45      ( is_a_theorem(sk1_esk57_0) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_655]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_43,plain,
% 0.20/0.45      ( is_a_theorem(strict_implies(sk1_esk57_0,sk1_esk58_0))
% 0.20/0.45      | modus_ponens_strict_implies ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_659_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_443,plain,
% 0.20/0.45      ( is_a_theorem(strict_implies(sk1_esk57_0,sk1_esk58_0))
% 0.20/0.45      | modus_ponens_strict_implies ),
% 0.20/0.45      inference(copy,[status(esa)],[c_43]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_654,plain,
% 0.20/0.45      ( is_a_theorem(strict_implies(sk1_esk57_0,sk1_esk58_0)) ),
% 0.20/0.45      inference(backward_subsumption_resolution,[status(thm)],[c_649,c_443]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_657,plain,
% 0.20/0.45      ( is_a_theorem(strict_implies(sk1_esk57_0,sk1_esk58_0)) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_654]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_38,plain,
% 0.20/0.45      ( ~ is_a_theorem(sk1_esk58_0) | modus_ponens_strict_implies ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_664_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_433,plain,
% 0.20/0.45      ( ~ is_a_theorem(sk1_esk58_0) | modus_ponens_strict_implies ),
% 0.20/0.45      inference(copy,[status(esa)],[c_38]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_653,plain,
% 0.20/0.45      ( ~ is_a_theorem(sk1_esk58_0) ),
% 0.20/0.45      inference(backward_subsumption_resolution,[status(thm)],[c_649,c_433]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_658,plain,
% 0.20/0.45      ( ~ is_a_theorem(sk1_esk58_0) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_653]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_140,plain,
% 0.20/0.45      ( is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))))
% 0.20/0.45      | ~ or_3 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_562_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_637,plain,
% 0.20/0.45      ( is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))))
% 0.20/0.45      | ~ or_3 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_140]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_638,plain,
% 0.20/0.45      ( ~ or_3
% 0.20/0.45      | is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1)))) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_637]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_126,plain,
% 0.20/0.45      ( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))
% 0.20/0.45      | ~ equivalence_3 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_576_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_609,plain,
% 0.20/0.45      ( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1))))
% 0.20/0.45      | ~ equivalence_3 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_126]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_610,plain,
% 0.20/0.45      ( ~ equivalence_3
% 0.20/0.45      | is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X0),equiv(X0,X1)))) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_609]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_125,plain,
% 0.20/0.45      ( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
% 0.20/0.45      | ~ implies_3 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_577_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_607,plain,
% 0.20/0.45      ( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
% 0.20/0.45      | ~ implies_3 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_125]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_608,plain,
% 0.20/0.45      ( ~ implies_3
% 0.20/0.45      | is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_607]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_119,plain,
% 0.20/0.45      ( is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))
% 0.20/0.45      | ~ axiom_K ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_583_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_595,plain,
% 0.20/0.45      ( is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))
% 0.20/0.45      | ~ axiom_K ),
% 0.20/0.45      inference(copy,[status(esa)],[c_119]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_596,plain,
% 0.20/0.45      ( ~ axiom_K
% 0.20/0.45      | is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1)))) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_595]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_117,plain,
% 0.20/0.45      ( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
% 0.20/0.45      | ~ implies_2 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_585_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_591,plain,
% 0.20/0.45      ( is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))
% 0.20/0.45      | ~ implies_2 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_117]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_592,plain,
% 0.20/0.45      ( ~ implies_2
% 0.20/0.45      | is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1))) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_591]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_113,plain,
% 0.20/0.45      ( is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) | ~ and_3 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_589_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_583,plain,
% 0.20/0.45      ( is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) | ~ and_3 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_113]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_584,plain,
% 0.20/0.45      ( ~ and_3 | is_a_theorem(implies(X0,implies(X1,and(X0,X1)))) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_583]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_111,plain,
% 0.20/0.45      ( is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))
% 0.20/0.45      | ~ modus_tollens ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_591_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_579,plain,
% 0.20/0.45      ( is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))
% 0.20/0.45      | ~ modus_tollens ),
% 0.20/0.45      inference(copy,[status(esa)],[c_111]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_580,plain,
% 0.20/0.45      ( ~ modus_tollens
% 0.20/0.45      | is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0))) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_579]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_101,plain,
% 0.20/0.45      ( is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) | ~ equivalence_2 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_601_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_559,plain,
% 0.20/0.45      ( is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) | ~ equivalence_2 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_101]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_560,plain,
% 0.20/0.45      ( ~ equivalence_2 | is_a_theorem(implies(equiv(X0,X1),implies(X1,X0))) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_559]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_100,plain,
% 0.20/0.45      ( is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) | ~ equivalence_1 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_602_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_557,plain,
% 0.20/0.45      ( is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) | ~ equivalence_1 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_100]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_558,plain,
% 0.20/0.45      ( ~ equivalence_1 | is_a_theorem(implies(equiv(X0,X1),implies(X0,X1))) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_557]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_75,plain,
% 0.20/0.45      ( is_a_theorem(implies(X0,or(X1,X0))) | ~ or_2 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_627_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_507,plain,
% 0.20/0.45      ( is_a_theorem(implies(X0,or(X1,X0))) | ~ or_2 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_75]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_508,plain,
% 0.20/0.45      ( ~ or_2 | is_a_theorem(implies(X0,or(X1,X0))) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_507]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_74,plain,
% 0.20/0.45      ( is_a_theorem(implies(X0,or(X0,X1))) | ~ or_1 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_628_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_505,plain,
% 0.20/0.45      ( is_a_theorem(implies(X0,or(X0,X1))) | ~ or_1 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_74]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_506,plain,
% 0.20/0.45      ( ~ or_1 | is_a_theorem(implies(X0,or(X0,X1))) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_505]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_73,plain,
% 0.20/0.45      ( is_a_theorem(implies(and(X0,X1),X1)) | ~ and_2 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_629_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_503,plain,
% 0.20/0.45      ( is_a_theorem(implies(and(X0,X1),X1)) | ~ and_2 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_73]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_504,plain,
% 0.20/0.45      ( ~ and_2 | is_a_theorem(implies(and(X0,X1),X1)) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_503]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_72,plain,
% 0.20/0.45      ( is_a_theorem(implies(and(X0,X1),X0)) | ~ and_1 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_630_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_501,plain,
% 0.20/0.45      ( is_a_theorem(implies(and(X0,X1),X0)) | ~ and_1 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_72]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_502,plain,
% 0.20/0.45      ( ~ and_1 | is_a_theorem(implies(and(X0,X1),X0)) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_501]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_71,plain,
% 0.20/0.45      ( is_a_theorem(implies(X0,implies(X1,X0))) | ~ implies_1 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_631_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_499,plain,
% 0.20/0.45      ( is_a_theorem(implies(X0,implies(X1,X0))) | ~ implies_1 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_71]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_500,plain,
% 0.20/0.45      ( ~ implies_1 | is_a_theorem(implies(X0,implies(X1,X0))) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_499]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_69,plain,
% 0.20/0.45      ( and(strict_implies(X0,X1),strict_implies(X1,X0)) = strict_equiv(X0,X1)
% 0.20/0.45      | ~ op_strict_equiv ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_633_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_495,plain,
% 0.20/0.45      ( and(strict_implies(X0,X1),strict_implies(X1,X0)) = strict_equiv(X0,X1)
% 0.20/0.45      | ~ op_strict_equiv ),
% 0.20/0.45      inference(copy,[status(esa)],[c_69]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_496,plain,
% 0.20/0.45      ( ~ op_strict_equiv
% 0.20/0.45      | and(strict_implies(X0,X1),strict_implies(X1,X0)) = strict_equiv(X0,X1) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_495]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_68,plain,
% 0.20/0.45      ( and(implies(X0,X1),implies(X1,X0)) = equiv(X0,X1) | ~ op_equiv ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_634_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_493,plain,
% 0.20/0.45      ( and(implies(X0,X1),implies(X1,X0)) = equiv(X0,X1) | ~ op_equiv ),
% 0.20/0.45      inference(copy,[status(esa)],[c_68]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_494,plain,
% 0.20/0.45      ( ~ op_equiv | and(implies(X0,X1),implies(X1,X0)) = equiv(X0,X1) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_493]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_63,plain,
% 0.20/0.45      ( is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))
% 0.20/0.45      | ~ axiom_4 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_639_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_483,plain,
% 0.20/0.45      ( is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0))))
% 0.20/0.45      | ~ axiom_4 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_63]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_484,plain,
% 0.20/0.45      ( ~ axiom_4
% 0.20/0.45      | is_a_theorem(implies(necessarily(X0),necessarily(necessarily(X0)))) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_483]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_62,plain,
% 0.20/0.45      ( not(or(not(X0),not(X1))) = and(X0,X1) | ~ op_and ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_640_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_481,plain,
% 0.20/0.45      ( not(or(not(X0),not(X1))) = and(X0,X1) | ~ op_and ),
% 0.20/0.45      inference(copy,[status(esa)],[c_62]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_482,plain,
% 0.20/0.45      ( ~ op_and | not(or(not(X0),not(X1))) = and(X0,X1) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_481]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_61,plain,
% 0.20/0.45      ( not(and(not(X0),not(X1))) = or(X0,X1) | ~ op_or ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_641_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_479,plain,
% 0.20/0.45      ( not(and(not(X0),not(X1))) = or(X0,X1) | ~ op_or ),
% 0.20/0.45      inference(copy,[status(esa)],[c_61]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_480,plain,
% 0.20/0.45      ( ~ op_or | not(and(not(X0),not(X1))) = or(X0,X1) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_479]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_60,plain,
% 0.20/0.45      ( is_a_theorem(implies(X0,necessarily(possibly(X0)))) | ~ axiom_B ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_642_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_477,plain,
% 0.20/0.45      ( is_a_theorem(implies(X0,necessarily(possibly(X0)))) | ~ axiom_B ),
% 0.20/0.45      inference(copy,[status(esa)],[c_60]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_478,plain,
% 0.20/0.45      ( ~ axiom_B | is_a_theorem(implies(X0,necessarily(possibly(X0)))) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_477]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_58,plain,
% 0.20/0.45      ( ~ is_a_theorem(X0)
% 0.20/0.45      | ~ is_a_theorem(implies(X0,X1))
% 0.20/0.45      | is_a_theorem(X1)
% 0.20/0.45      | ~ modus_ponens ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_644_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_473,plain,
% 0.20/0.45      ( ~ is_a_theorem(X0)
% 0.20/0.45      | ~ is_a_theorem(implies(X0,X1))
% 0.20/0.45      | is_a_theorem(X1)
% 0.20/0.45      | ~ modus_ponens ),
% 0.20/0.45      inference(copy,[status(esa)],[c_58]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_474,plain,
% 0.20/0.45      ( ~ modus_ponens
% 0.20/0.45      | ~ is_a_theorem(implies(X0,X1))
% 0.20/0.45      | ~ is_a_theorem(X0)
% 0.20/0.45      | is_a_theorem(X1) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_473]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_57,plain,
% 0.20/0.45      ( not(and(X0,not(X1))) = implies(X0,X1) | ~ op_implies_and ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_645_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_471,plain,
% 0.20/0.45      ( not(and(X0,not(X1))) = implies(X0,X1) | ~ op_implies_and ),
% 0.20/0.45      inference(copy,[status(esa)],[c_57]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_472,plain,
% 0.20/0.45      ( ~ op_implies_and | not(and(X0,not(X1))) = implies(X0,X1) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_471]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_54,plain,
% 0.20/0.45      ( ~ is_a_theorem(strict_equiv(X0,X1))
% 0.20/0.45      | X0 = X1
% 0.20/0.45      | ~ substitution_strict_equiv ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_648_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_465,plain,
% 0.20/0.45      ( ~ is_a_theorem(strict_equiv(X0,X1))
% 0.20/0.45      | X0 = X1
% 0.20/0.45      | ~ substitution_strict_equiv ),
% 0.20/0.45      inference(copy,[status(esa)],[c_54]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_466,plain,
% 0.20/0.45      ( ~ substitution_strict_equiv
% 0.20/0.45      | ~ is_a_theorem(strict_equiv(X0,X1))
% 0.20/0.45      | X0 = X1 ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_465]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_53,plain,
% 0.20/0.45      ( ~ is_a_theorem(equiv(X0,X1))
% 0.20/0.45      | X0 = X1
% 0.20/0.45      | ~ substitution_of_equivalents ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_649_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_463,plain,
% 0.20/0.45      ( ~ is_a_theorem(equiv(X0,X1))
% 0.20/0.45      | X0 = X1
% 0.20/0.45      | ~ substitution_of_equivalents ),
% 0.20/0.45      inference(copy,[status(esa)],[c_53]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_464,plain,
% 0.20/0.45      ( ~ substitution_of_equivalents
% 0.20/0.45      | ~ is_a_theorem(equiv(X0,X1))
% 0.20/0.45      | X0 = X1 ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_463]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_52,plain,
% 0.20/0.45      ( ~ is_a_theorem(X0)
% 0.20/0.45      | ~ is_a_theorem(X1)
% 0.20/0.45      | is_a_theorem(and(X0,X1))
% 0.20/0.45      | ~ adjunction ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_650_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_461,plain,
% 0.20/0.45      ( ~ is_a_theorem(X0)
% 0.20/0.45      | ~ is_a_theorem(X1)
% 0.20/0.45      | is_a_theorem(and(X0,X1))
% 0.20/0.45      | ~ adjunction ),
% 0.20/0.45      inference(copy,[status(esa)],[c_52]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_462,plain,
% 0.20/0.45      ( is_a_theorem(and(X0,X1))
% 0.20/0.45      | ~ is_a_theorem(X0)
% 0.20/0.45      | ~ is_a_theorem(X1)
% 0.20/0.45      | ~ adjunction ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_461]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_51,plain,
% 0.20/0.45      ( necessarily(implies(X0,X1)) = strict_implies(X0,X1)
% 0.20/0.45      | ~ op_strict_implies ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_651_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_459,plain,
% 0.20/0.45      ( necessarily(implies(X0,X1)) = strict_implies(X0,X1)
% 0.20/0.45      | ~ op_strict_implies ),
% 0.20/0.45      inference(copy,[status(esa)],[c_51]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_460,plain,
% 0.20/0.45      ( ~ op_strict_implies
% 0.20/0.45      | necessarily(implies(X0,X1)) = strict_implies(X0,X1) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_459]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_49,plain,
% 0.20/0.45      ( is_a_theorem(implies(necessarily(X0),X0)) | ~ axiom_M ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_653_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_455,plain,
% 0.20/0.45      ( is_a_theorem(implies(necessarily(X0),X0)) | ~ axiom_M ),
% 0.20/0.45      inference(copy,[status(esa)],[c_49]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_456,plain,
% 0.20/0.45      ( ~ axiom_M | is_a_theorem(implies(necessarily(X0),X0)) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_455]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_47,plain,
% 0.20/0.45      ( or(not(X0),X1) = implies(X0,X1) | ~ op_implies_or ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_655_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_451,plain,
% 0.20/0.45      ( or(not(X0),X1) = implies(X0,X1) | ~ op_implies_or ),
% 0.20/0.45      inference(copy,[status(esa)],[c_47]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_452,plain,
% 0.20/0.45      ( ~ op_implies_or | or(not(X0),X1) = implies(X0,X1) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_451]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_46,plain,
% 0.20/0.45      ( not(possibly(not(X0))) = necessarily(X0) | ~ op_necessarily ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_656_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_449,plain,
% 0.20/0.45      ( not(possibly(not(X0))) = necessarily(X0) | ~ op_necessarily ),
% 0.20/0.45      inference(copy,[status(esa)],[c_46]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_450,plain,
% 0.20/0.45      ( ~ op_necessarily | not(possibly(not(X0))) = necessarily(X0) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_449]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_45,plain,
% 0.20/0.45      ( not(necessarily(not(X0))) = possibly(X0) | ~ op_possibly ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_657_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_447,plain,
% 0.20/0.45      ( not(necessarily(not(X0))) = possibly(X0) | ~ op_possibly ),
% 0.20/0.45      inference(copy,[status(esa)],[c_45]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_448,plain,
% 0.20/0.45      ( ~ op_possibly | not(necessarily(not(X0))) = possibly(X0) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_447]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_44,plain,
% 0.20/0.45      ( is_a_theorem(strict_equiv(sk1_esk61_0,sk1_esk62_0))
% 0.20/0.45      | substitution_strict_equiv ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_658_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_445,plain,
% 0.20/0.45      ( is_a_theorem(strict_equiv(sk1_esk61_0,sk1_esk62_0))
% 0.20/0.45      | substitution_strict_equiv ),
% 0.20/0.45      inference(copy,[status(esa)],[c_44]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_446,plain,
% 0.20/0.45      ( substitution_strict_equiv
% 0.20/0.45      | is_a_theorem(strict_equiv(sk1_esk61_0,sk1_esk62_0)) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_445]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_40,plain,
% 0.20/0.45      ( ~ is_a_theorem(X0) | is_a_theorem(necessarily(X0)) | ~ necessitation ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_662_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_437,plain,
% 0.20/0.45      ( ~ is_a_theorem(X0) | is_a_theorem(necessarily(X0)) | ~ necessitation ),
% 0.20/0.45      inference(copy,[status(esa)],[c_40]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_438,plain,
% 0.20/0.45      ( ~ necessitation | is_a_theorem(necessarily(X0)) | ~ is_a_theorem(X0) ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_437]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_31,plain,
% 0.20/0.45      ( sk1_esk62_0 != sk1_esk61_0 | substitution_strict_equiv ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_671_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_419,plain,
% 0.20/0.45      ( sk1_esk62_0 != sk1_esk61_0 | substitution_strict_equiv ),
% 0.20/0.45      inference(copy,[status(esa)],[c_31]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_420,plain,
% 0.20/0.45      ( substitution_strict_equiv | sk1_esk62_0 != sk1_esk61_0 ),
% 0.20/0.45      inference(rewriting,[status(thm)],[c_419]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_145,plain,
% 0.20/0.45      ( ~ is_a_theorem(implies(and(necessarily(implies(sk1_esk69_0,sk1_esk70_0)),necessarily(implies(sk1_esk70_0,sk1_esk71_0))),necessarily(implies(sk1_esk69_0,sk1_esk71_0))))
% 0.20/0.45      | axiom_s1 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_557_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_647,plain,
% 0.20/0.45      ( ~ is_a_theorem(implies(and(necessarily(implies(sk1_esk69_0,sk1_esk70_0)),necessarily(implies(sk1_esk70_0,sk1_esk71_0))),necessarily(implies(sk1_esk69_0,sk1_esk71_0))))
% 0.20/0.45      | axiom_s1 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_145]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_144,plain,
% 0.20/0.45      ( ~ is_a_theorem(implies(implies(sk1_esk36_0,sk1_esk37_0),implies(not(and(sk1_esk37_0,sk1_esk38_0)),not(and(sk1_esk38_0,sk1_esk36_0)))))
% 0.20/0.45      | kn3 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_558_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_645,plain,
% 0.20/0.45      ( ~ is_a_theorem(implies(implies(sk1_esk36_0,sk1_esk37_0),implies(not(and(sk1_esk37_0,sk1_esk38_0)),not(and(sk1_esk38_0,sk1_esk36_0)))))
% 0.20/0.45      | kn3 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_144]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_142,plain,
% 0.20/0.45      ( is_a_theorem(implies(and(necessarily(implies(X0,X1)),necessarily(implies(X1,X2))),necessarily(implies(X0,X2))))
% 0.20/0.45      | ~ axiom_s1 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_560_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_641,plain,
% 0.20/0.45      ( is_a_theorem(implies(and(necessarily(implies(X0,X1)),necessarily(implies(X1,X2))),necessarily(implies(X0,X2))))
% 0.20/0.45      | ~ axiom_s1 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_142]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_141,plain,
% 0.20/0.45      ( is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))
% 0.20/0.45      | ~ kn3 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_561_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_639,plain,
% 0.20/0.45      ( is_a_theorem(implies(implies(X0,X1),implies(not(and(X1,X2)),not(and(X2,X0)))))
% 0.20/0.45      | ~ kn3 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_141]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_139,plain,
% 0.20/0.45      ( ~ is_a_theorem(strict_implies(and(strict_implies(sk1_esk85_0,sk1_esk86_0),strict_implies(sk1_esk86_0,sk1_esk87_0)),strict_implies(sk1_esk85_0,sk1_esk87_0)))
% 0.20/0.45      | axiom_m5 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_563_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_635,plain,
% 0.20/0.45      ( ~ is_a_theorem(strict_implies(and(strict_implies(sk1_esk85_0,sk1_esk86_0),strict_implies(sk1_esk86_0,sk1_esk87_0)),strict_implies(sk1_esk85_0,sk1_esk87_0)))
% 0.20/0.45      | axiom_m5 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_139]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_138,plain,
% 0.20/0.45      ( ~ is_a_theorem(strict_implies(and(and(sk1_esk81_0,sk1_esk82_0),sk1_esk83_0),and(sk1_esk81_0,and(sk1_esk82_0,sk1_esk83_0))))
% 0.20/0.45      | axiom_m3 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_564_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_633,plain,
% 0.20/0.45      ( ~ is_a_theorem(strict_implies(and(and(sk1_esk81_0,sk1_esk82_0),sk1_esk83_0),and(sk1_esk81_0,and(sk1_esk82_0,sk1_esk83_0))))
% 0.20/0.45      | axiom_m3 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_138]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_137,plain,
% 0.20/0.45      ( ~ is_a_theorem(implies(implies(sk1_esk54_0,sk1_esk55_0),implies(or(sk1_esk53_0,sk1_esk54_0),or(sk1_esk53_0,sk1_esk55_0))))
% 0.20/0.45      | r5 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_565_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_631,plain,
% 0.20/0.45      ( ~ is_a_theorem(implies(implies(sk1_esk54_0,sk1_esk55_0),implies(or(sk1_esk53_0,sk1_esk54_0),or(sk1_esk53_0,sk1_esk55_0))))
% 0.20/0.45      | r5 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_137]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_136,plain,
% 0.20/0.45      ( ~ is_a_theorem(implies(or(sk1_esk50_0,or(sk1_esk51_0,sk1_esk52_0)),or(sk1_esk51_0,or(sk1_esk50_0,sk1_esk52_0))))
% 0.20/0.45      | r4 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_566_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_629,plain,
% 0.20/0.45      ( ~ is_a_theorem(implies(or(sk1_esk50_0,or(sk1_esk51_0,sk1_esk52_0)),or(sk1_esk51_0,or(sk1_esk50_0,sk1_esk52_0))))
% 0.20/0.45      | r4 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_136]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_135,plain,
% 0.20/0.45      ( ~ is_a_theorem(implies(implies(sk1_esk39_0,sk1_esk40_0),implies(implies(sk1_esk40_0,sk1_esk41_0),implies(sk1_esk39_0,sk1_esk41_0))))
% 0.20/0.45      | cn1 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_567_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_627,plain,
% 0.20/0.45      ( ~ is_a_theorem(implies(implies(sk1_esk39_0,sk1_esk40_0),implies(implies(sk1_esk40_0,sk1_esk41_0),implies(sk1_esk39_0,sk1_esk41_0))))
% 0.20/0.45      | cn1 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_135]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_132,plain,
% 0.20/0.45      ( ~ is_a_theorem(strict_implies(strict_implies(sk1_esk74_0,sk1_esk75_0),strict_implies(not(possibly(sk1_esk75_0)),not(possibly(sk1_esk74_0)))))
% 0.20/0.45      | axiom_s3 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_570_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_621,plain,
% 0.20/0.45      ( ~ is_a_theorem(strict_implies(strict_implies(sk1_esk74_0,sk1_esk75_0),strict_implies(not(possibly(sk1_esk75_0)),not(possibly(sk1_esk74_0)))))
% 0.20/0.45      | axiom_s3 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_132]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_131,plain,
% 0.20/0.45      ( is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))
% 0.20/0.45      | ~ axiom_m5 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_571_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_619,plain,
% 0.20/0.45      ( is_a_theorem(strict_implies(and(strict_implies(X0,X1),strict_implies(X1,X2)),strict_implies(X0,X2)))
% 0.20/0.45      | ~ axiom_m5 ),
% 0.20/0.45      inference(copy,[status(esa)],[c_131]) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_130,plain,
% 0.20/0.45      ( is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2))))
% 0.20/0.45      | ~ axiom_m3 ),
% 0.20/0.45      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_572_0) ).
% 0.20/0.45  
% 0.20/0.45  cnf(c_617,plain,
% 0.20/0.45      ( is_a_theorem(strict_implies(and(and(X0,X1),X2),and(X0,and(X1,X2))))
% 0.20/0.46      | ~ axiom_m3 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_130]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_129,plain,
% 0.20/0.46      ( is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))
% 0.20/0.46      | ~ r5 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_573_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_615,plain,
% 0.20/0.46      ( is_a_theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1))))
% 0.20/0.46      | ~ r5 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_129]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_128,plain,
% 0.20/0.46      ( is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) | ~ r4 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_574_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_613,plain,
% 0.20/0.46      ( is_a_theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))) | ~ r4 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_128]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_127,plain,
% 0.20/0.46      ( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
% 0.20/0.46      | ~ cn1 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_575_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_611,plain,
% 0.20/0.46      ( is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
% 0.20/0.46      | ~ cn1 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_127]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_124,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(possibly(and(sk1_esk72_0,sk1_esk73_0)),and(possibly(sk1_esk72_0),possibly(sk1_esk73_0))))
% 0.20/0.46      | axiom_s2 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_578_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_605,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(possibly(and(sk1_esk72_0,sk1_esk73_0)),and(possibly(sk1_esk72_0),possibly(sk1_esk73_0))))
% 0.20/0.46      | axiom_s2 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_124]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_121,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0)))))
% 0.20/0.46      | ~ axiom_s3 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_581_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_599,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(not(possibly(X1)),not(possibly(X0)))))
% 0.20/0.46      | ~ axiom_s3 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_121]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_120,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(possibly(and(X0,X1)),and(possibly(X0),possibly(X1))))
% 0.20/0.46      | ~ axiom_s2 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_582_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_597,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(possibly(and(X0,X1)),and(possibly(X0),possibly(X1))))
% 0.20/0.46      | ~ axiom_s2 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_120]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_116,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(strict_implies(sk1_esk91_0,sk1_esk92_0),strict_implies(possibly(sk1_esk91_0),possibly(sk1_esk92_0))))
% 0.20/0.46      | axiom_m8 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_586_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_589,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(strict_implies(sk1_esk91_0,sk1_esk92_0),strict_implies(possibly(sk1_esk91_0),possibly(sk1_esk92_0))))
% 0.20/0.46      | axiom_m8 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_116]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_114,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(possibly(and(sk1_esk89_0,sk1_esk90_0)),sk1_esk89_0))
% 0.20/0.46      | axiom_m7 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_588_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_585,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(possibly(and(sk1_esk89_0,sk1_esk90_0)),sk1_esk89_0))
% 0.20/0.46      | axiom_m7 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_114]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_112,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(possibly(X0),possibly(X1))))
% 0.20/0.46      | ~ axiom_m8 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_590_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_581,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(strict_implies(X0,X1),strict_implies(possibly(X0),possibly(X1))))
% 0.20/0.46      | ~ axiom_m8 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_112]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_110,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(and(sk1_esk77_0,sk1_esk78_0),and(sk1_esk78_0,sk1_esk77_0)))
% 0.20/0.46      | axiom_m1 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_592_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_577,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(and(sk1_esk77_0,sk1_esk78_0),and(sk1_esk78_0,sk1_esk77_0)))
% 0.20/0.46      | axiom_m1 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_110]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_109,plain,
% 0.20/0.46      ( ~ is_a_theorem(implies(or(sk1_esk48_0,sk1_esk49_0),or(sk1_esk49_0,sk1_esk48_0)))
% 0.20/0.46      | r3 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_593_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_575,plain,
% 0.20/0.46      ( ~ is_a_theorem(implies(or(sk1_esk48_0,sk1_esk49_0),or(sk1_esk49_0,sk1_esk48_0)))
% 0.20/0.46      | r3 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_109]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_106,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(possibly(and(X0,X1)),X0)) | ~ axiom_m7 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_596_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_569,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(possibly(and(X0,X1)),X0)) | ~ axiom_m7 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_106]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_105,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) | ~ axiom_m1 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_597_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_567,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(and(X0,X1),and(X1,X0))) | ~ axiom_m1 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_105]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_104,plain,
% 0.20/0.46      ( is_a_theorem(implies(or(X0,X1),or(X1,X0))) | ~ r3 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_598_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_565,plain,
% 0.20/0.46      ( is_a_theorem(implies(or(X0,X1),or(X1,X0))) | ~ r3 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_104]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_103,plain,
% 0.20/0.46      ( ~ is_a_theorem(implies(implies(not(sk1_esk44_0),sk1_esk44_0),sk1_esk44_0))
% 0.20/0.46      | cn3 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_599_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_563,plain,
% 0.20/0.46      ( ~ is_a_theorem(implies(implies(not(sk1_esk44_0),sk1_esk44_0),sk1_esk44_0))
% 0.20/0.46      | cn3 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_103]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_102,plain,
% 0.20/0.46      ( ~ is_a_theorem(implies(sk1_esk42_0,implies(not(sk1_esk42_0),sk1_esk43_0)))
% 0.20/0.46      | cn2 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_600_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_561,plain,
% 0.20/0.46      ( ~ is_a_theorem(implies(sk1_esk42_0,implies(not(sk1_esk42_0),sk1_esk43_0)))
% 0.20/0.46      | cn2 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_102]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_99,plain,
% 0.20/0.46      ( is_a_theorem(implies(implies(not(X0),X0),X0)) | ~ cn3 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_603_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_555,plain,
% 0.20/0.46      ( is_a_theorem(implies(implies(not(X0),X0),X0)) | ~ cn3 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_99]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_98,plain,
% 0.20/0.46      ( is_a_theorem(implies(X0,implies(not(X0),X1))) | ~ cn2 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_604_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_553,plain,
% 0.20/0.46      ( is_a_theorem(implies(X0,implies(not(X0),X1))) | ~ cn2 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_98]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_97,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(sk1_esk84_0,and(sk1_esk84_0,sk1_esk84_0)))
% 0.20/0.46      | axiom_m4 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_605_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_551,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(sk1_esk84_0,and(sk1_esk84_0,sk1_esk84_0)))
% 0.20/0.46      | axiom_m4 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_97]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_96,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(and(sk1_esk79_0,sk1_esk80_0),sk1_esk79_0))
% 0.20/0.46      | axiom_m2 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_606_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_549,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(and(sk1_esk79_0,sk1_esk80_0),sk1_esk79_0))
% 0.20/0.46      | axiom_m2 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_96]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_95,plain,
% 0.20/0.46      ( ~ is_a_theorem(implies(sk1_esk47_0,or(sk1_esk46_0,sk1_esk47_0))) | r2 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_607_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_547,plain,
% 0.20/0.46      ( ~ is_a_theorem(implies(sk1_esk47_0,or(sk1_esk46_0,sk1_esk47_0))) | r2 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_95]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_94,plain,
% 0.20/0.46      ( ~ is_a_theorem(implies(or(sk1_esk45_0,sk1_esk45_0),sk1_esk45_0)) | r1 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_608_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_545,plain,
% 0.20/0.46      ( ~ is_a_theorem(implies(or(sk1_esk45_0,sk1_esk45_0),sk1_esk45_0)) | r1 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_94]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_93,plain,
% 0.20/0.46      ( ~ is_a_theorem(implies(and(sk1_esk34_0,sk1_esk35_0),sk1_esk34_0))
% 0.20/0.46      | kn2 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_609_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_543,plain,
% 0.20/0.46      ( ~ is_a_theorem(implies(and(sk1_esk34_0,sk1_esk35_0),sk1_esk34_0))
% 0.20/0.46      | kn2 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_93]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_92,plain,
% 0.20/0.46      ( ~ is_a_theorem(implies(sk1_esk33_0,and(sk1_esk33_0,sk1_esk33_0)))
% 0.20/0.46      | kn1 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_610_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_541,plain,
% 0.20/0.46      ( ~ is_a_theorem(implies(sk1_esk33_0,and(sk1_esk33_0,sk1_esk33_0)))
% 0.20/0.46      | kn1 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_92]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_86,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(possibly(sk1_esk94_0),necessarily(possibly(sk1_esk94_0))))
% 0.20/0.46      | axiom_m10 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_616_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_529,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(possibly(sk1_esk94_0),necessarily(possibly(sk1_esk94_0))))
% 0.20/0.46      | axiom_m10 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_86]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_85,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(possibly(possibly(sk1_esk93_0)),possibly(sk1_esk93_0)))
% 0.20/0.46      | axiom_m9 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_617_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_527,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(possibly(possibly(sk1_esk93_0)),possibly(sk1_esk93_0)))
% 0.20/0.46      | axiom_m9 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_85]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_84,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(necessarily(sk1_esk76_0),necessarily(necessarily(sk1_esk76_0))))
% 0.20/0.46      | axiom_s4 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_618_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_525,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(necessarily(sk1_esk76_0),necessarily(necessarily(sk1_esk76_0))))
% 0.20/0.46      | axiom_s4 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_84]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_83,plain,
% 0.20/0.46      ( ~ is_a_theorem(implies(possibly(sk1_esk68_0),necessarily(possibly(sk1_esk68_0))))
% 0.20/0.46      | axiom_5 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_619_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_523,plain,
% 0.20/0.46      ( ~ is_a_theorem(implies(possibly(sk1_esk68_0),necessarily(possibly(sk1_esk68_0))))
% 0.20/0.46      | axiom_5 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_83]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_81,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(X0,and(X0,X0))) | ~ axiom_m4 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_621_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_519,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(X0,and(X0,X0))) | ~ axiom_m4 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_81]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_80,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(and(X0,X1),X0)) | ~ axiom_m2 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_622_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_517,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(and(X0,X1),X0)) | ~ axiom_m2 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_80]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_79,plain,
% 0.20/0.46      ( is_a_theorem(implies(X0,or(X1,X0))) | ~ r2 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_623_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_515,plain,
% 0.20/0.46      ( is_a_theorem(implies(X0,or(X1,X0))) | ~ r2 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_79]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_78,plain,
% 0.20/0.46      ( is_a_theorem(implies(or(X0,X0),X0)) | ~ r1 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_624_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_513,plain,
% 0.20/0.46      ( is_a_theorem(implies(or(X0,X0),X0)) | ~ r1 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_78]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_77,plain,
% 0.20/0.46      ( is_a_theorem(implies(and(X0,X1),X0)) | ~ kn2 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_625_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_511,plain,
% 0.20/0.46      ( is_a_theorem(implies(and(X0,X1),X0)) | ~ kn2 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_77]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_76,plain,
% 0.20/0.46      ( is_a_theorem(implies(X0,and(X0,X0))) | ~ kn1 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_626_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_509,plain,
% 0.20/0.46      ( is_a_theorem(implies(X0,and(X0,X0))) | ~ kn1 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_76]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_67,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))
% 0.20/0.46      | ~ axiom_m10 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_635_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_491,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(possibly(X0),necessarily(possibly(X0))))
% 0.20/0.46      | ~ axiom_m10 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_67]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_66,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(possibly(possibly(X0)),possibly(X0)))
% 0.20/0.46      | ~ axiom_m9 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_636_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_489,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(possibly(possibly(X0)),possibly(X0)))
% 0.20/0.46      | ~ axiom_m9 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_66]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_65,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(necessarily(X0),necessarily(necessarily(X0))))
% 0.20/0.46      | ~ axiom_s4 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_637_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_487,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(necessarily(X0),necessarily(necessarily(X0))))
% 0.20/0.46      | ~ axiom_s4 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_65]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_64,plain,
% 0.20/0.46      ( is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
% 0.20/0.46      | ~ axiom_5 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_638_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_485,plain,
% 0.20/0.46      ( is_a_theorem(implies(possibly(X0),necessarily(possibly(X0))))
% 0.20/0.46      | ~ axiom_5 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_64]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_56,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(sk1_esk88_0,possibly(sk1_esk88_0)))
% 0.20/0.46      | axiom_m6 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_646_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_469,plain,
% 0.20/0.46      ( ~ is_a_theorem(strict_implies(sk1_esk88_0,possibly(sk1_esk88_0)))
% 0.20/0.46      | axiom_m6 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_56]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_50,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(X0,possibly(X0))) | ~ axiom_m6 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_652_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_457,plain,
% 0.20/0.46      ( is_a_theorem(strict_implies(X0,possibly(X0))) | ~ axiom_m6 ),
% 0.20/0.46      inference(copy,[status(esa)],[c_50]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_48,plain,
% 0.20/0.46      ( ~ is_a_theorem(and(sk1_esk59_0,sk1_esk60_0)) | adjunction ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_654_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_453,plain,
% 0.20/0.46      ( ~ is_a_theorem(and(sk1_esk59_0,sk1_esk60_0)) | adjunction ),
% 0.20/0.46      inference(copy,[status(esa)],[c_48]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_36,plain,
% 0.20/0.46      ( is_a_theorem(sk1_esk59_0) | adjunction ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_666_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_429,plain,
% 0.20/0.46      ( is_a_theorem(sk1_esk59_0) | adjunction ),
% 0.20/0.46      inference(copy,[status(esa)],[c_36]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_35,plain,
% 0.20/0.46      ( is_a_theorem(sk1_esk60_0) | adjunction ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_667_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_427,plain,
% 0.20/0.46      ( is_a_theorem(sk1_esk60_0) | adjunction ),
% 0.20/0.46      inference(copy,[status(esa)],[c_35]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_29,plain,
% 0.20/0.46      ( op_strict_equiv ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_673_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_415,plain,( op_strict_equiv ),inference(copy,[status(esa)],[c_29]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_27,plain,
% 0.20/0.46      ( op_strict_implies ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_675_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_411,plain,( op_strict_implies ),inference(copy,[status(esa)],[c_27]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_26,plain,
% 0.20/0.46      ( op_implies ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_676_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_409,plain,( op_implies ),inference(copy,[status(esa)],[c_26]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_23,plain,
% 0.20/0.46      ( axiom_B ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_679_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_403,plain,( axiom_B ),inference(copy,[status(esa)],[c_23]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_22,plain,
% 0.20/0.46      ( axiom_4 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_680_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_401,plain,( axiom_4 ),inference(copy,[status(esa)],[c_22]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_21,plain,
% 0.20/0.46      ( axiom_M ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_681_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_399,plain,( axiom_M ),inference(copy,[status(esa)],[c_21]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_20,plain,
% 0.20/0.46      ( axiom_K ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_682_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_397,plain,( axiom_K ),inference(copy,[status(esa)],[c_20]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_19,plain,
% 0.20/0.46      ( necessitation ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_683_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_395,plain,( necessitation ),inference(copy,[status(esa)],[c_19]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_18,plain,
% 0.20/0.46      ( op_possibly ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_684_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_393,plain,( op_possibly ),inference(copy,[status(esa)],[c_18]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_17,plain,
% 0.20/0.46      ( substitution_of_equivalents ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_685_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_391,plain,
% 0.20/0.46      ( substitution_of_equivalents ),
% 0.20/0.46      inference(copy,[status(esa)],[c_17]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_16,plain,
% 0.20/0.46      ( equivalence_3 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_686_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_389,plain,( equivalence_3 ),inference(copy,[status(esa)],[c_16]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_15,plain,
% 0.20/0.46      ( equivalence_2 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_687_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_387,plain,( equivalence_2 ),inference(copy,[status(esa)],[c_15]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_14,plain,
% 0.20/0.46      ( equivalence_1 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_688_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_385,plain,( equivalence_1 ),inference(copy,[status(esa)],[c_14]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_13,plain,
% 0.20/0.46      ( or_3 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_689_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_383,plain,( or_3 ),inference(copy,[status(esa)],[c_13]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_12,plain,
% 0.20/0.46      ( or_2 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_690_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_381,plain,( or_2 ),inference(copy,[status(esa)],[c_12]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_11,plain,
% 0.20/0.46      ( or_1 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_691_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_379,plain,( or_1 ),inference(copy,[status(esa)],[c_11]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_10,plain,
% 0.20/0.46      ( and_3 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_692_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_377,plain,( and_3 ),inference(copy,[status(esa)],[c_10]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_9,plain,
% 0.20/0.46      ( and_2 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_693_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_375,plain,( and_2 ),inference(copy,[status(esa)],[c_9]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_8,plain,
% 0.20/0.46      ( and_1 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_694_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_373,plain,( and_1 ),inference(copy,[status(esa)],[c_8]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_7,plain,
% 0.20/0.46      ( implies_3 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_695_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_371,plain,( implies_3 ),inference(copy,[status(esa)],[c_7]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_6,plain,
% 0.20/0.46      ( implies_2 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_696_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_369,plain,( implies_2 ),inference(copy,[status(esa)],[c_6]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_5,plain,
% 0.20/0.46      ( implies_1 ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_697_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_367,plain,( implies_1 ),inference(copy,[status(esa)],[c_5]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_4,plain,
% 0.20/0.46      ( modus_tollens ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_698_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_365,plain,( modus_tollens ),inference(copy,[status(esa)],[c_4]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_3,plain,
% 0.20/0.46      ( modus_ponens ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_699_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_363,plain,( modus_ponens ),inference(copy,[status(esa)],[c_3]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_2,plain,
% 0.20/0.46      ( op_equiv ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_700_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_361,plain,( op_equiv ),inference(copy,[status(esa)],[c_2]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_1,plain,
% 0.20/0.46      ( op_implies_and ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_701_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_359,plain,( op_implies_and ),inference(copy,[status(esa)],[c_1]) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_0,plain,
% 0.20/0.46      ( op_or ),
% 0.20/0.46      file('/export/starexec/sandbox/tmp/iprover_modulo_a3981f.p', c_0_702_0) ).
% 0.20/0.46  
% 0.20/0.46  cnf(c_357,plain,( op_or ),inference(copy,[status(esa)],[c_0]) ).
% 0.20/0.46  
% 0.20/0.46  
% 0.20/0.46  
% 0.20/0.46  % ------                             Statistics
% 0.20/0.46  
% 0.20/0.46  % ------ General
% 0.20/0.46  
% 0.20/0.46  % num_of_input_clauses:                 147
% 0.20/0.46  % num_of_input_neg_conjectures:         1
% 0.20/0.46  % num_of_splits:                        0
% 0.20/0.46  % num_of_split_atoms:                   0
% 0.20/0.46  % num_of_sem_filtered_clauses:          0
% 0.20/0.46  % num_of_subtypes:                      0
% 0.20/0.46  % monotx_restored_types:                0
% 0.20/0.46  % sat_num_of_epr_types:                 0
% 0.20/0.46  % sat_num_of_non_cyclic_types:          0
% 0.20/0.46  % sat_guarded_non_collapsed_types:      0
% 0.20/0.46  % is_epr:                               0
% 0.20/0.46  % is_horn:                              0
% 0.20/0.46  % has_eq:                               1
% 0.20/0.46  % num_pure_diseq_elim:                  0
% 0.20/0.46  % simp_replaced_by:                     0
% 0.20/0.46  % res_preprocessed:                     2
% 0.20/0.46  % prep_upred:                           0
% 0.20/0.46  % prep_unflattend:                      0
% 0.20/0.46  % pred_elim_cands:                      0
% 0.20/0.46  % pred_elim:                            0
% 0.20/0.46  % pred_elim_cl:                         0
% 0.20/0.46  % pred_elim_cycles:                     0
% 0.20/0.46  % forced_gc_time:                       0
% 0.20/0.46  % gc_basic_clause_elim:                 0
% 0.20/0.46  % parsing_time:                         0.005
% 0.20/0.46  % sem_filter_time:                      0.
% 0.20/0.46  % pred_elim_time:                       0.
% 0.20/0.46  % out_proof_time:                       0.
% 0.20/0.46  % monotx_time:                          0.
% 0.20/0.46  % subtype_inf_time:                     0.
% 0.20/0.46  % unif_index_cands_time:                0.
% 0.20/0.46  % unif_index_add_time:                  0.
% 0.20/0.46  % total_time:                           0.042
% 0.20/0.46  % num_of_symbols:                       188
% 0.20/0.46  % num_of_terms:                         814
% 0.20/0.46  
% 0.20/0.46  % ------ Propositional Solver
% 0.20/0.46  
% 0.20/0.46  % prop_solver_calls:                    1
% 0.20/0.46  % prop_fast_solver_calls:               3
% 0.20/0.46  % prop_num_of_clauses:                  199
% 0.20/0.46  % prop_preprocess_simplified:           219
% 0.20/0.46  % prop_fo_subsumed:                     0
% 0.20/0.46  % prop_solver_time:                     0.
% 0.20/0.46  % prop_fast_solver_time:                0.
% 0.20/0.46  % prop_unsat_core_time:                 0.
% 0.20/0.46  
% 0.20/0.46  % ------ QBF 
% 0.20/0.46  
% 0.20/0.46  % qbf_q_res:                            0
% 0.20/0.46  % qbf_num_tautologies:                  0
% 0.20/0.46  % qbf_prep_cycles:                      0
% 0.20/0.46  
% 0.20/0.46  % ------ BMC1
% 0.20/0.46  
% 0.20/0.46  % bmc1_current_bound:                   -1
% 0.20/0.46  % bmc1_last_solved_bound:               -1
% 0.20/0.46  % bmc1_unsat_core_size:                 -1
% 0.20/0.46  % bmc1_unsat_core_parents_size:         -1
% 0.20/0.46  % bmc1_merge_next_fun:                  0
% 0.20/0.46  % bmc1_unsat_core_clauses_time:         0.
% 0.20/0.46  
% 0.20/0.46  % ------ Instantiation
% 0.20/0.46  
% 0.20/0.46  % inst_num_of_clauses:                  144
% 0.20/0.46  % inst_num_in_passive:                  0
% 0.20/0.46  % inst_num_in_active:                   0
% 0.20/0.46  % inst_num_in_unprocessed:              147
% 0.20/0.46  % inst_num_of_loops:                    0
% 0.20/0.46  % inst_num_of_learning_restarts:        0
% 0.20/0.46  % inst_num_moves_active_passive:        0
% 0.20/0.46  % inst_lit_activity:                    0
% 0.20/0.46  % inst_lit_activity_moves:              0
% 0.20/0.46  % inst_num_tautologies:                 0
% 0.20/0.46  % inst_num_prop_implied:                0
% 0.20/0.46  % inst_num_existing_simplified:         0
% 0.20/0.46  % inst_num_eq_res_simplified:           0
% 0.20/0.46  % inst_num_child_elim:                  0
% 0.20/0.46  % inst_num_of_dismatching_blockings:    0
% 0.20/0.46  % inst_num_of_non_proper_insts:         0
% 0.20/0.46  % inst_num_of_duplicates:               0
% 0.20/0.46  % inst_inst_num_from_inst_to_res:       0
% 0.20/0.46  % inst_dismatching_checking_time:       0.
% 0.20/0.46  
% 0.20/0.46  % ------ Resolution
% 0.20/0.46  
% 0.20/0.46  % res_num_of_clauses:                   177
% 0.20/0.46  % res_num_in_passive:                   0
% 0.20/0.46  % res_num_in_active:                    119
% 0.20/0.46  % res_num_of_loops:                     5
% 0.20/0.46  % res_forward_subset_subsumed:          27
% 0.20/0.46  % res_backward_subset_subsumed:         0
% 0.20/0.46  % res_forward_subsumed:                 0
% 0.20/0.46  % res_backward_subsumed:                1
% 0.20/0.46  % res_forward_subsumption_resolution:   0
% 0.20/0.46  % res_backward_subsumption_resolution:  3
% 0.20/0.46  % res_clause_to_clause_subsumption:     4
% 0.20/0.46  % res_orphan_elimination:               0
% 0.20/0.46  % res_tautology_del:                    0
% 0.20/0.46  % res_num_eq_res_simplified:            0
% 0.20/0.46  % res_num_sel_changes:                  0
% 0.20/0.46  % res_moves_from_active_to_pass:        0
% 0.20/0.46  
% 0.20/0.46  % Status Unknown
% 0.20/0.51  % Orienting using strategy ClausalAll
% 0.20/0.51  % FOF problem with conjecture
% 0.20/0.51  % 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/sandbox/tmp/iprover_proof_39cd65.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_a3981f.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_523479 | grep -v "SZS"
% 0.37/0.54  
% 0.37/0.54  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.37/0.54  
% 0.37/0.54  % 
% 0.37/0.54  % ------  iProver source info 
% 0.37/0.54  
% 0.37/0.54  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.37/0.54  % git: non_committed_changes: true
% 0.37/0.54  % git: last_make_outside_of_git: true
% 0.37/0.54  
% 0.37/0.54  % 
% 0.37/0.54  % ------ Input Options
% 0.37/0.54  
% 0.37/0.54  % --out_options                         all
% 0.37/0.54  % --tptp_safe_out                       true
% 0.37/0.54  % --problem_path                        ""
% 0.37/0.54  % --include_path                        ""
% 0.37/0.54  % --clausifier                          .//eprover
% 0.37/0.54  % --clausifier_options                  --tstp-format  
% 0.37/0.54  % --stdin                               false
% 0.37/0.54  % --dbg_backtrace                       false
% 0.37/0.54  % --dbg_dump_prop_clauses               false
% 0.37/0.54  % --dbg_dump_prop_clauses_file          -
% 0.37/0.54  % --dbg_out_stat                        false
% 0.37/0.54  
% 0.37/0.54  % ------ General Options
% 0.37/0.54  
% 0.37/0.54  % --fof                                 false
% 0.37/0.54  % --time_out_real                       150.
% 0.37/0.54  % --time_out_prep_mult                  0.2
% 0.37/0.54  % --time_out_virtual                    -1.
% 0.37/0.54  % --schedule                            none
% 0.37/0.54  % --ground_splitting                    input
% 0.37/0.54  % --splitting_nvd                       16
% 0.37/0.54  % --non_eq_to_eq                        false
% 0.37/0.54  % --prep_gs_sim                         true
% 0.37/0.54  % --prep_unflatten                      false
% 0.37/0.54  % --prep_res_sim                        true
% 0.37/0.54  % --prep_upred                          true
% 0.37/0.54  % --res_sim_input                       true
% 0.37/0.54  % --clause_weak_htbl                    true
% 0.37/0.54  % --gc_record_bc_elim                   false
% 0.37/0.54  % --symbol_type_check                   false
% 0.37/0.54  % --clausify_out                        false
% 0.37/0.54  % --large_theory_mode                   false
% 0.37/0.54  % --prep_sem_filter                     none
% 0.37/0.54  % --prep_sem_filter_out                 false
% 0.37/0.54  % --preprocessed_out                    false
% 0.37/0.54  % --sub_typing                          false
% 0.37/0.54  % --brand_transform                     false
% 0.37/0.54  % --pure_diseq_elim                     true
% 0.37/0.54  % --min_unsat_core                      false
% 0.37/0.54  % --pred_elim                           true
% 0.37/0.54  % --add_important_lit                   false
% 0.37/0.54  % --soft_assumptions                    false
% 0.37/0.54  % --reset_solvers                       false
% 0.37/0.54  % --bc_imp_inh                          []
% 0.37/0.54  % --conj_cone_tolerance                 1.5
% 0.37/0.54  % --prolific_symb_bound                 500
% 0.37/0.54  % --lt_threshold                        2000
% 0.37/0.54  
% 0.37/0.54  % ------ SAT Options
% 0.37/0.54  
% 0.37/0.54  % --sat_mode                            false
% 0.37/0.54  % --sat_fm_restart_options              ""
% 0.37/0.54  % --sat_gr_def                          false
% 0.37/0.54  % --sat_epr_types                       true
% 0.37/0.54  % --sat_non_cyclic_types                false
% 0.37/0.54  % --sat_finite_models                   false
% 0.37/0.54  % --sat_fm_lemmas                       false
% 0.37/0.54  % --sat_fm_prep                         false
% 0.37/0.54  % --sat_fm_uc_incr                      true
% 0.37/0.54  % --sat_out_model                       small
% 0.37/0.54  % --sat_out_clauses                     false
% 0.37/0.54  
% 0.37/0.54  % ------ QBF Options
% 0.37/0.54  
% 0.37/0.54  % --qbf_mode                            false
% 0.37/0.54  % --qbf_elim_univ                       true
% 0.37/0.54  % --qbf_sk_in                           true
% 0.37/0.54  % --qbf_pred_elim                       true
% 0.37/0.54  % --qbf_split                           32
% 0.37/0.54  
% 0.37/0.54  % ------ BMC1 Options
% 0.37/0.54  
% 0.37/0.54  % --bmc1_incremental                    false
% 0.37/0.54  % --bmc1_axioms                         reachable_all
% 0.37/0.54  % --bmc1_min_bound                      0
% 0.37/0.54  % --bmc1_max_bound                      -1
% 0.37/0.54  % --bmc1_max_bound_default              -1
% 0.37/0.54  % --bmc1_symbol_reachability            true
% 0.37/0.54  % --bmc1_property_lemmas                false
% 0.37/0.54  % --bmc1_k_induction                    false
% 0.37/0.54  % --bmc1_non_equiv_states               false
% 0.37/0.54  % --bmc1_deadlock                       false
% 0.37/0.54  % --bmc1_ucm                            false
% 0.37/0.54  % --bmc1_add_unsat_core                 none
% 0.37/0.54  % --bmc1_unsat_core_children            false
% 0.37/0.54  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.37/0.54  % --bmc1_out_stat                       full
% 0.37/0.54  % --bmc1_ground_init                    false
% 0.37/0.54  % --bmc1_pre_inst_next_state            false
% 0.37/0.54  % --bmc1_pre_inst_state                 false
% 0.37/0.54  % --bmc1_pre_inst_reach_state           false
% 0.37/0.54  % --bmc1_out_unsat_core                 false
% 0.37/0.54  % --bmc1_aig_witness_out                false
% 0.37/0.54  % --bmc1_verbose                        false
% 0.37/0.54  % --bmc1_dump_clauses_tptp              false
% 0.39/0.56  % --bmc1_dump_unsat_core_tptp           false
% 0.39/0.56  % --bmc1_dump_file                      -
% 0.39/0.56  % --bmc1_ucm_expand_uc_limit            128
% 0.39/0.56  % --bmc1_ucm_n_expand_iterations        6
% 0.39/0.56  % --bmc1_ucm_extend_mode                1
% 0.39/0.56  % --bmc1_ucm_init_mode                  2
% 0.39/0.56  % --bmc1_ucm_cone_mode                  none
% 0.39/0.56  % --bmc1_ucm_reduced_relation_type      0
% 0.39/0.56  % --bmc1_ucm_relax_model                4
% 0.39/0.56  % --bmc1_ucm_full_tr_after_sat          true
% 0.39/0.56  % --bmc1_ucm_expand_neg_assumptions     false
% 0.39/0.56  % --bmc1_ucm_layered_model              none
% 0.39/0.56  % --bmc1_ucm_max_lemma_size             10
% 0.39/0.56  
% 0.39/0.56  % ------ AIG Options
% 0.39/0.56  
% 0.39/0.56  % --aig_mode                            false
% 0.39/0.56  
% 0.39/0.56  % ------ Instantiation Options
% 0.39/0.56  
% 0.39/0.56  % --instantiation_flag                  true
% 0.39/0.56  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.39/0.56  % --inst_solver_per_active              750
% 0.39/0.56  % --inst_solver_calls_frac              0.5
% 0.39/0.56  % --inst_passive_queue_type             priority_queues
% 0.39/0.56  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.39/0.56  % --inst_passive_queues_freq            [25;2]
% 0.39/0.56  % --inst_dismatching                    true
% 0.39/0.56  % --inst_eager_unprocessed_to_passive   true
% 0.39/0.56  % --inst_prop_sim_given                 true
% 0.39/0.56  % --inst_prop_sim_new                   false
% 0.39/0.56  % --inst_orphan_elimination             true
% 0.39/0.56  % --inst_learning_loop_flag             true
% 0.39/0.56  % --inst_learning_start                 3000
% 0.39/0.56  % --inst_learning_factor                2
% 0.39/0.56  % --inst_start_prop_sim_after_learn     3
% 0.39/0.56  % --inst_sel_renew                      solver
% 0.39/0.56  % --inst_lit_activity_flag              true
% 0.39/0.56  % --inst_out_proof                      true
% 0.39/0.56  
% 0.39/0.56  % ------ Resolution Options
% 0.39/0.56  
% 0.39/0.56  % --resolution_flag                     true
% 0.39/0.56  % --res_lit_sel                         kbo_max
% 0.39/0.56  % --res_to_prop_solver                  none
% 0.39/0.56  % --res_prop_simpl_new                  false
% 0.39/0.56  % --res_prop_simpl_given                false
% 0.39/0.56  % --res_passive_queue_type              priority_queues
% 0.39/0.56  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.39/0.56  % --res_passive_queues_freq             [15;5]
% 0.39/0.56  % --res_forward_subs                    full
% 0.39/0.56  % --res_backward_subs                   full
% 0.39/0.56  % --res_forward_subs_resolution         true
% 0.39/0.56  % --res_backward_subs_resolution        true
% 0.39/0.56  % --res_orphan_elimination              false
% 0.39/0.56  % --res_time_limit                      1000.
% 0.39/0.56  % --res_out_proof                       true
% 0.39/0.56  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_39cd65.s
% 0.39/0.56  % --modulo                              true
% 0.39/0.56  
% 0.39/0.56  % ------ Combination Options
% 0.39/0.56  
% 0.39/0.56  % --comb_res_mult                       1000
% 0.39/0.56  % --comb_inst_mult                      300
% 0.39/0.56  % ------ 
% 0.39/0.56  
% 0.39/0.56  % ------ Parsing...% successful
% 0.39/0.56  
% 0.39/0.56  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e  pe_s  pe_e  snvd_s sp: 0 0s snvd_e % 
% 0.39/0.56  
% 0.39/0.56  % ------ Proving...
% 0.39/0.56  % ------ Problem Properties 
% 0.39/0.56  
% 0.39/0.56  % 
% 0.39/0.56  % EPR                                   false
% 0.39/0.56  % Horn                                  false
% 0.39/0.56  % Has equality                          true
% 0.39/0.56  
% 0.39/0.56  % % ------ Input Options Time Limit: Unbounded
% 0.39/0.56  
% 0.39/0.56  
% 0.39/0.56  % % ------ Current options:
% 0.39/0.56  
% 0.39/0.56  % ------ Input Options
% 0.39/0.56  
% 0.39/0.56  % --out_options                         all
% 0.39/0.56  % --tptp_safe_out                       true
% 0.39/0.56  % --problem_path                        ""
% 0.39/0.56  % --include_path                        ""
% 0.39/0.56  % --clausifier                          .//eprover
% 0.39/0.56  % --clausifier_options                  --tstp-format  
% 0.39/0.56  % --stdin                               false
% 0.39/0.56  % --dbg_backtrace                       false
% 0.39/0.56  % --dbg_dump_prop_clauses               false
% 0.39/0.56  % --dbg_dump_prop_clauses_file          -
% 0.39/0.56  % --dbg_out_stat                        false
% 0.39/0.56  
% 0.39/0.56  % ------ General Options
% 0.39/0.56  
% 0.39/0.56  % --fof                                 false
% 0.39/0.56  % --time_out_real                       150.
% 0.39/0.56  % --time_out_prep_mult                  0.2
% 0.39/0.56  % --time_out_virtual                    -1.
% 0.39/0.56  % --schedule                            none
% 0.39/0.56  % --ground_splitting                    input
% 0.39/0.56  % --splitting_nvd                       16
% 0.39/0.56  % --non_eq_to_eq                        false
% 0.39/0.56  % --prep_gs_sim                         true
% 0.39/0.56  % --prep_unflatten                      false
% 0.39/0.56  % --prep_res_sim                        true
% 0.39/0.56  % --prep_upred                          true
% 0.39/0.56  % --res_sim_input                       true
% 0.39/0.56  % --clause_weak_htbl                    true
% 0.39/0.56  % --gc_record_bc_elim                   false
% 0.39/0.56  % --symbol_type_check                   false
% 0.39/0.56  % --clausify_out                        false
% 0.39/0.56  % --large_theory_mode                   false
% 0.39/0.56  % --prep_sem_filter                     none
% 0.39/0.56  % --prep_sem_filter_out                 false
% 0.39/0.56  % --preprocessed_out                    false
% 0.39/0.56  % --sub_typing                          false
% 0.39/0.56  % --brand_transform                     false
% 0.39/0.56  % --pure_diseq_elim                     true
% 0.39/0.56  % --min_unsat_core                      false
% 0.39/0.56  % --pred_elim                           true
% 0.39/0.56  % --add_important_lit                   false
% 0.39/0.56  % --soft_assumptions                    false
% 0.39/0.56  % --reset_solvers                       false
% 0.39/0.56  % --bc_imp_inh                          []
% 0.39/0.56  % --conj_cone_tolerance                 1.5
% 0.39/0.56  % --prolific_symb_bound                 500
% 0.39/0.56  % --lt_threshold                        2000
% 0.39/0.56  
% 0.39/0.56  % ------ SAT Options
% 0.39/0.56  
% 0.39/0.56  % --sat_mode                            false
% 0.39/0.56  % --sat_fm_restart_options              ""
% 0.39/0.56  % --sat_gr_def                          false
% 0.39/0.56  % --sat_epr_types                       true
% 0.39/0.56  % --sat_non_cyclic_types                false
% 0.39/0.56  % --sat_finite_models                   false
% 0.39/0.56  % --sat_fm_lemmas                       false
% 0.39/0.56  % --sat_fm_prep                         false
% 0.39/0.56  % --sat_fm_uc_incr                      true
% 0.39/0.56  % --sat_out_model                       small
% 0.39/0.56  % --sat_out_clauses                     false
% 0.39/0.56  
% 0.39/0.56  % ------ QBF Options
% 0.39/0.56  
% 0.39/0.56  % --qbf_mode                            false
% 0.39/0.56  % --qbf_elim_univ                       true
% 0.39/0.56  % --qbf_sk_in                           true
% 0.39/0.56  % --qbf_pred_elim                       true
% 0.39/0.56  % --qbf_split                           32
% 0.39/0.56  
% 0.39/0.56  % ------ BMC1 Options
% 0.39/0.56  
% 0.39/0.56  % --bmc1_incremental                    false
% 0.39/0.56  % --bmc1_axioms                         reachable_all
% 0.39/0.56  % --bmc1_min_bound                      0
% 0.39/0.56  % --bmc1_max_bound                      -1
% 0.39/0.56  % --bmc1_max_bound_default              -1
% 0.39/0.56  % --bmc1_symbol_reachability            true
% 0.39/0.56  % --bmc1_property_lemmas                false
% 0.39/0.56  % --bmc1_k_induction                    false
% 0.39/0.56  % --bmc1_non_equiv_states               false
% 0.39/0.56  % --bmc1_deadlock                       false
% 0.39/0.56  % --bmc1_ucm                            false
% 0.39/0.56  % --bmc1_add_unsat_core                 none
% 0.39/0.56  % --bmc1_unsat_core_children            false
% 0.39/0.56  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.39/0.56  % --bmc1_out_stat                       full
% 0.39/0.56  % --bmc1_ground_init                    false
% 0.39/0.56  % --bmc1_pre_inst_next_state            false
% 0.39/0.56  % --bmc1_pre_inst_state                 false
% 0.39/0.56  % --bmc1_pre_inst_reach_state           false
% 0.39/0.56  % --bmc1_out_unsat_core                 false
% 0.39/0.56  % --bmc1_aig_witness_out                false
% 0.39/0.56  % --bmc1_verbose                        false
% 0.39/0.56  % --bmc1_dump_clauses_tptp              false
% 0.39/0.56  % --bmc1_dump_unsat_core_tptp           false
% 0.39/0.56  % --bmc1_dump_file                      -
% 0.39/0.56  % --bmc1_ucm_expand_uc_limit            128
% 0.39/0.56  % --bmc1_ucm_n_expand_iterations        6
% 0.39/0.56  % --bmc1_ucm_extend_mode                1
% 0.39/0.56  % --bmc1_ucm_init_mode                  2
% 0.39/0.56  % --bmc1_ucm_cone_mode                  none
% 0.39/0.56  % --bmc1_ucm_reduced_relation_type      0
% 0.39/0.56  % --bmc1_ucm_relax_model                4
% 0.39/0.56  % --bmc1_ucm_full_tr_after_sat          true
% 0.39/0.56  % --bmc1_ucm_expand_neg_assumptions     false
% 0.39/0.56  % --bmc1_ucm_layered_model              none
% 0.39/0.56  % --bmc1_ucm_max_lemma_size             10
% 0.39/0.56  
% 0.39/0.56  % ------ AIG Options
% 0.39/0.56  
% 0.39/0.56  % --aig_mode                            false
% 0.39/0.56  
% 0.39/0.56  % ------ Instantiation Options
% 0.39/0.56  
% 0.39/0.56  % --instantiation_flag                  true
% 0.39/0.56  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.39/0.56  % --inst_solver_per_active              750
% 0.39/0.56  % --inst_solver_calls_frac              0.5
% 0.39/0.56  % --inst_passive_queue_type             priority_queues
% 0.39/0.56  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.39/0.56  % --inst_passive_queues_freq            [25;2]
% 0.39/0.56  % --inst_dismatching                    true
% 0.39/0.56  % --inst_eager_unprocessed_to_passive   true
% 0.39/0.56  % --inst_prop_sim_given                 true
% 150.28/150.54  % --inst_prop_sim_new                   false
% 150.28/150.54  % --inst_orphan_elimination             true
% 150.28/150.54  % --inst_learning_loop_flag             true
% 150.28/150.54  % --inst_learning_start                 3000
% 150.28/150.54  % --inst_learning_factor                2
% 150.28/150.54  % --inst_start_prop_sim_after_learn     3
% 150.28/150.54  % --inst_sel_renew                      solver
% 150.28/150.54  % --inst_lit_activity_flag              true
% 150.28/150.54  % --inst_out_proof                      true
% 150.28/150.54  
% 150.28/150.54  % ------ Resolution Options
% 150.28/150.54  
% 150.28/150.54  % --resolution_flag                     true
% 150.28/150.54  % --res_lit_sel                         kbo_max
% 150.28/150.54  % --res_to_prop_solver                  none
% 150.28/150.54  % --res_prop_simpl_new                  false
% 150.28/150.54  % --res_prop_simpl_given                false
% 150.28/150.54  % --res_passive_queue_type              priority_queues
% 150.28/150.54  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.28/150.54  % --res_passive_queues_freq             [15;5]
% 150.28/150.54  % --res_forward_subs                    full
% 150.28/150.54  % --res_backward_subs                   full
% 150.28/150.54  % --res_forward_subs_resolution         true
% 150.28/150.54  % --res_backward_subs_resolution        true
% 150.28/150.54  % --res_orphan_elimination              false
% 150.28/150.54  % --res_time_limit                      1000.
% 150.28/150.54  % --res_out_proof                       true
% 150.28/150.54  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_39cd65.s
% 150.28/150.54  % --modulo                              true
% 150.28/150.54  
% 150.28/150.54  % ------ Combination Options
% 150.28/150.54  
% 150.28/150.54  % --comb_res_mult                       1000
% 150.28/150.54  % --comb_inst_mult                      300
% 150.28/150.54  % ------ 
% 150.28/150.54  
% 150.28/150.54  
% 150.28/150.54  
% 150.28/150.54  % ------ Proving...
% 150.28/150.54  % 
% 150.28/150.54  
% 150.28/150.54  
% 150.28/150.54  % Time Out Real
% 150.28/150.54  
% 150.28/150.54  % ------                             Statistics
% 150.28/150.54  
% 150.28/150.54  % ------ General
% 150.28/150.54  
% 150.28/150.54  % num_of_input_clauses:                 272
% 150.28/150.54  % num_of_input_neg_conjectures:         1
% 150.28/150.54  % num_of_splits:                        0
% 150.28/150.54  % num_of_split_atoms:                   0
% 150.28/150.54  % num_of_sem_filtered_clauses:          0
% 150.28/150.54  % num_of_subtypes:                      0
% 150.28/150.54  % monotx_restored_types:                0
% 150.28/150.54  % sat_num_of_epr_types:                 0
% 150.28/150.54  % sat_num_of_non_cyclic_types:          0
% 150.28/150.54  % sat_guarded_non_collapsed_types:      0
% 150.28/150.54  % is_epr:                               0
% 150.28/150.54  % is_horn:                              0
% 150.28/150.54  % has_eq:                               1
% 150.28/150.54  % num_pure_diseq_elim:                  0
% 150.28/150.54  % simp_replaced_by:                     0
% 150.28/150.54  % res_preprocessed:                     2
% 150.28/150.54  % prep_upred:                           0
% 150.28/150.54  % prep_unflattend:                      0
% 150.28/150.54  % pred_elim_cands:                      0
% 150.28/150.54  % pred_elim:                            0
% 150.28/150.54  % pred_elim_cl:                         0
% 150.28/150.54  % pred_elim_cycles:                     0
% 150.28/150.54  % forced_gc_time:                       0
% 150.28/150.54  % gc_basic_clause_elim:                 0
% 150.28/150.54  % parsing_time:                         0.009
% 150.28/150.54  % sem_filter_time:                      0.
% 150.28/150.54  % pred_elim_time:                       0.
% 150.28/150.54  % out_proof_time:                       0.
% 150.28/150.54  % monotx_time:                          0.
% 150.28/150.54  % subtype_inf_time:                     0.
% 150.28/150.54  % unif_index_cands_time:                0.
% 150.28/150.54  % unif_index_add_time:                  0.006
% 150.28/150.54  % total_time:                           150.017
% 150.28/150.54  % num_of_symbols:                       188
% 150.28/150.54  % num_of_terms:                         28679
% 150.28/150.54  
% 150.28/150.54  % ------ Propositional Solver
% 150.28/150.54  
% 150.28/150.54  % prop_solver_calls:                    1
% 150.28/150.54  % prop_fast_solver_calls:               3
% 150.28/150.54  % prop_num_of_clauses:                  200
% 150.28/150.54  % prop_preprocess_simplified:           602
% 150.28/150.54  % prop_fo_subsumed:                     0
% 150.28/150.54  % prop_solver_time:                     0.
% 150.28/150.54  % prop_fast_solver_time:                0.
% 150.28/150.54  % prop_unsat_core_time:                 0.
% 150.28/150.54  
% 150.28/150.54  % ------ QBF 
% 150.28/150.54  
% 150.28/150.54  % qbf_q_res:                            0
% 150.28/150.54  % qbf_num_tautologies:                  0
% 150.28/150.54  % qbf_prep_cycles:                      0
% 150.28/150.54  
% 150.28/150.54  % ------ BMC1
% 150.28/150.54  
% 150.28/150.54  % bmc1_current_bound:                   -1
% 150.28/150.54  % bmc1_last_solved_bound:               -1
% 150.28/150.54  % bmc1_unsat_core_size:                 -1
% 150.28/150.54  % bmc1_unsat_core_parents_size:         -1
% 150.28/150.54  % bmc1_merge_next_fun:                  0
% 150.28/150.54  % bmc1_unsat_core_clauses_time:         0.
% 150.28/150.54  
% 150.28/150.54  % ------ Instantiation
% 150.28/150.54  
% 150.28/150.54  % inst_num_of_clauses:                  269
% 150.28/150.54  % inst_num_in_passive:                  0
% 150.28/150.54  % inst_num_in_active:                   0
% 150.28/150.54  % inst_num_in_unprocessed:              272
% 150.28/150.54  % inst_num_of_loops:                    0
% 150.28/150.54  % inst_num_of_learning_restarts:        0
% 150.28/150.54  % inst_num_moves_active_passive:        0
% 150.28/150.54  % inst_lit_activity:                    0
% 150.28/150.54  % inst_lit_activity_moves:              0
% 150.28/150.54  % inst_num_tautologies:                 0
% 150.28/150.54  % inst_num_prop_implied:                0
% 150.28/150.54  % inst_num_existing_simplified:         0
% 150.28/150.54  % inst_num_eq_res_simplified:           0
% 150.28/150.54  % inst_num_child_elim:                  0
% 150.28/150.54  % inst_num_of_dismatching_blockings:    0
% 150.28/150.54  % inst_num_of_non_proper_insts:         0
% 150.28/150.54  % inst_num_of_duplicates:               0
% 150.28/150.54  % inst_inst_num_from_inst_to_res:       0
% 150.28/150.54  % inst_dismatching_checking_time:       0.
% 150.28/150.54  
% 150.28/150.54  % ------ Resolution
% 150.28/150.54  
% 150.28/150.54  % res_num_of_clauses:                   598
% 150.28/150.54  % res_num_in_passive:                   1
% 150.28/150.54  % res_num_in_active:                    445
% 150.28/150.54  % res_num_of_loops:                     329
% 150.28/150.54  % res_forward_subset_subsumed:          149
% 150.28/150.54  % res_backward_subset_subsumed:         0
% 150.28/150.54  % res_forward_subsumed:                 0
% 150.28/150.54  % res_backward_subsumed:                2
% 150.28/150.54  % res_forward_subsumption_resolution:   0
% 150.28/150.54  % res_backward_subsumption_resolution:  3
% 150.28/150.54  % res_clause_to_clause_subsumption:     53777
% 150.28/150.54  % res_orphan_elimination:               0
% 150.28/150.54  % res_tautology_del:                    0
% 150.28/150.54  % res_num_eq_res_simplified:            0
% 150.28/150.54  % res_num_sel_changes:                  0
% 150.28/150.54  % res_moves_from_active_to_pass:        0
% 150.28/150.54  
% 150.28/150.54  % Status Unknown
% 150.28/150.54  % Last status :
% 150.28/150.54  % SZS status Unknown
%------------------------------------------------------------------------------