%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : NUM008-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Mon Jul 18 10:53:46 EDT 2022

% Result   : Unknown 150.68s 150.90s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM008-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Fri Jul  8 02:39:35 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.35  % Running in mono-core mode
% 0.21/0.45  % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.45  % Orientation found
% 0.21/0.45  % 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_fc04c2.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_1adc37 | grep -v "SZS"
% 0.21/0.48  
% 0.21/0.48  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.48  
% 0.21/0.48  % 
% 0.21/0.48  % ------  iProver source info 
% 0.21/0.48  
% 0.21/0.48  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.48  % git: non_committed_changes: true
% 0.21/0.48  % git: last_make_outside_of_git: true
% 0.21/0.48  
% 0.21/0.48  % 
% 0.21/0.48  % ------ Input Options
% 0.21/0.48  
% 0.21/0.48  % --out_options                         all
% 0.21/0.48  % --tptp_safe_out                       true
% 0.21/0.48  % --problem_path                        ""
% 0.21/0.48  % --include_path                        ""
% 0.21/0.48  % --clausifier                          .//eprover
% 0.21/0.48  % --clausifier_options                  --tstp-format  
% 0.21/0.48  % --stdin                               false
% 0.21/0.48  % --dbg_backtrace                       false
% 0.21/0.48  % --dbg_dump_prop_clauses               false
% 0.21/0.48  % --dbg_dump_prop_clauses_file          -
% 0.21/0.48  % --dbg_out_stat                        false
% 0.21/0.48  
% 0.21/0.48  % ------ General Options
% 0.21/0.48  
% 0.21/0.48  % --fof                                 false
% 0.21/0.48  % --time_out_real                       150.
% 0.21/0.48  % --time_out_prep_mult                  0.2
% 0.21/0.48  % --time_out_virtual                    -1.
% 0.21/0.48  % --schedule                            none
% 0.21/0.48  % --ground_splitting                    input
% 0.21/0.48  % --splitting_nvd                       16
% 0.21/0.48  % --non_eq_to_eq                        false
% 0.21/0.48  % --prep_gs_sim                         true
% 0.21/0.48  % --prep_unflatten                      false
% 0.21/0.48  % --prep_res_sim                        true
% 0.21/0.48  % --prep_upred                          true
% 0.21/0.48  % --res_sim_input                       true
% 0.21/0.48  % --clause_weak_htbl                    true
% 0.21/0.48  % --gc_record_bc_elim                   false
% 0.21/0.48  % --symbol_type_check                   false
% 0.21/0.48  % --clausify_out                        false
% 0.21/0.48  % --large_theory_mode                   false
% 0.21/0.48  % --prep_sem_filter                     none
% 0.21/0.48  % --prep_sem_filter_out                 false
% 0.21/0.48  % --preprocessed_out                    false
% 0.21/0.48  % --sub_typing                          false
% 0.21/0.48  % --brand_transform                     false
% 0.21/0.48  % --pure_diseq_elim                     true
% 0.21/0.48  % --min_unsat_core                      false
% 0.21/0.48  % --pred_elim                           true
% 0.21/0.48  % --add_important_lit                   false
% 0.21/0.48  % --soft_assumptions                    false
% 0.21/0.48  % --reset_solvers                       false
% 0.21/0.48  % --bc_imp_inh                          []
% 0.21/0.48  % --conj_cone_tolerance                 1.5
% 0.21/0.48  % --prolific_symb_bound                 500
% 0.21/0.48  % --lt_threshold                        2000
% 0.21/0.48  
% 0.21/0.48  % ------ SAT Options
% 0.21/0.48  
% 0.21/0.48  % --sat_mode                            false
% 0.21/0.48  % --sat_fm_restart_options              ""
% 0.21/0.48  % --sat_gr_def                          false
% 0.21/0.48  % --sat_epr_types                       true
% 0.21/0.48  % --sat_non_cyclic_types                false
% 0.21/0.48  % --sat_finite_models                   false
% 0.21/0.48  % --sat_fm_lemmas                       false
% 0.21/0.48  % --sat_fm_prep                         false
% 0.21/0.48  % --sat_fm_uc_incr                      true
% 0.21/0.48  % --sat_out_model                       small
% 0.21/0.48  % --sat_out_clauses                     false
% 0.21/0.48  
% 0.21/0.48  % ------ QBF Options
% 0.21/0.48  
% 0.21/0.48  % --qbf_mode                            false
% 0.21/0.48  % --qbf_elim_univ                       true
% 0.21/0.48  % --qbf_sk_in                           true
% 0.21/0.48  % --qbf_pred_elim                       true
% 0.21/0.48  % --qbf_split                           32
% 0.21/0.48  
% 0.21/0.48  % ------ BMC1 Options
% 0.21/0.48  
% 0.21/0.48  % --bmc1_incremental                    false
% 0.21/0.48  % --bmc1_axioms                         reachable_all
% 0.21/0.48  % --bmc1_min_bound                      0
% 0.21/0.48  % --bmc1_max_bound                      -1
% 0.21/0.48  % --bmc1_max_bound_default              -1
% 0.21/0.48  % --bmc1_symbol_reachability            true
% 0.21/0.48  % --bmc1_property_lemmas                false
% 0.21/0.48  % --bmc1_k_induction                    false
% 0.21/0.48  % --bmc1_non_equiv_states               false
% 0.21/0.48  % --bmc1_deadlock                       false
% 0.21/0.48  % --bmc1_ucm                            false
% 0.21/0.48  % --bmc1_add_unsat_core                 none
% 0.21/0.48  % --bmc1_unsat_core_children            false
% 0.21/0.48  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.48  % --bmc1_out_stat                       full
% 0.21/0.48  % --bmc1_ground_init                    false
% 0.21/0.48  % --bmc1_pre_inst_next_state            false
% 0.21/0.48  % --bmc1_pre_inst_state                 false
% 0.21/0.48  % --bmc1_pre_inst_reach_state           false
% 0.21/0.48  % --bmc1_out_unsat_core                 false
% 0.21/0.48  % --bmc1_aig_witness_out                false
% 0.21/0.48  % --bmc1_verbose                        false
% 0.21/0.48  % --bmc1_dump_clauses_tptp              false
% 0.47/0.78  % --bmc1_dump_unsat_core_tptp           false
% 0.47/0.78  % --bmc1_dump_file                      -
% 0.47/0.78  % --bmc1_ucm_expand_uc_limit            128
% 0.47/0.78  % --bmc1_ucm_n_expand_iterations        6
% 0.47/0.78  % --bmc1_ucm_extend_mode                1
% 0.47/0.78  % --bmc1_ucm_init_mode                  2
% 0.47/0.78  % --bmc1_ucm_cone_mode                  none
% 0.47/0.78  % --bmc1_ucm_reduced_relation_type      0
% 0.47/0.78  % --bmc1_ucm_relax_model                4
% 0.47/0.78  % --bmc1_ucm_full_tr_after_sat          true
% 0.47/0.78  % --bmc1_ucm_expand_neg_assumptions     false
% 0.47/0.78  % --bmc1_ucm_layered_model              none
% 0.47/0.78  % --bmc1_ucm_max_lemma_size             10
% 0.47/0.78  
% 0.47/0.78  % ------ AIG Options
% 0.47/0.78  
% 0.47/0.78  % --aig_mode                            false
% 0.47/0.78  
% 0.47/0.78  % ------ Instantiation Options
% 0.47/0.78  
% 0.47/0.78  % --instantiation_flag                  true
% 0.47/0.78  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.47/0.78  % --inst_solver_per_active              750
% 0.47/0.78  % --inst_solver_calls_frac              0.5
% 0.47/0.78  % --inst_passive_queue_type             priority_queues
% 0.47/0.78  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.47/0.78  % --inst_passive_queues_freq            [25;2]
% 0.47/0.78  % --inst_dismatching                    true
% 0.47/0.78  % --inst_eager_unprocessed_to_passive   true
% 0.47/0.78  % --inst_prop_sim_given                 true
% 0.47/0.78  % --inst_prop_sim_new                   false
% 0.47/0.78  % --inst_orphan_elimination             true
% 0.47/0.78  % --inst_learning_loop_flag             true
% 0.47/0.78  % --inst_learning_start                 3000
% 0.47/0.78  % --inst_learning_factor                2
% 0.47/0.78  % --inst_start_prop_sim_after_learn     3
% 0.47/0.78  % --inst_sel_renew                      solver
% 0.47/0.78  % --inst_lit_activity_flag              true
% 0.47/0.78  % --inst_out_proof                      true
% 0.47/0.78  
% 0.47/0.78  % ------ Resolution Options
% 0.47/0.78  
% 0.47/0.78  % --resolution_flag                     true
% 0.47/0.78  % --res_lit_sel                         kbo_max
% 0.47/0.78  % --res_to_prop_solver                  none
% 0.47/0.78  % --res_prop_simpl_new                  false
% 0.47/0.78  % --res_prop_simpl_given                false
% 0.47/0.78  % --res_passive_queue_type              priority_queues
% 0.47/0.78  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.47/0.78  % --res_passive_queues_freq             [15;5]
% 0.47/0.78  % --res_forward_subs                    full
% 0.47/0.78  % --res_backward_subs                   full
% 0.47/0.78  % --res_forward_subs_resolution         true
% 0.47/0.78  % --res_backward_subs_resolution        true
% 0.47/0.78  % --res_orphan_elimination              false
% 0.47/0.78  % --res_time_limit                      1000.
% 0.47/0.78  % --res_out_proof                       true
% 0.47/0.78  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_fc04c2.s
% 0.47/0.78  % --modulo                              true
% 0.47/0.78  
% 0.47/0.78  % ------ Combination Options
% 0.47/0.78  
% 0.47/0.78  % --comb_res_mult                       1000
% 0.47/0.78  % --comb_inst_mult                      300
% 0.47/0.78  % ------ 
% 0.47/0.78  
% 0.47/0.78  % ------ Parsing...% successful
% 0.47/0.78  
% 0.47/0.78  % ------ 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 % 
% 0.47/0.78  
% 0.47/0.78  % ------ Proving...
% 0.47/0.78  % ------ Problem Properties 
% 0.47/0.78  
% 0.47/0.78  % 
% 0.47/0.78  % EPR                                   false
% 0.47/0.78  % Horn                                  false
% 0.47/0.78  % Has equality                          true
% 0.47/0.78  
% 0.47/0.78  % % ------ Input Options Time Limit: Unbounded
% 0.47/0.78  
% 0.47/0.78  
% 0.47/0.78  Compiling...
% 0.47/0.78  Loading plugin: done.
% 0.47/0.78  Compiling...
% 0.47/0.78  Loading plugin: done.
% 0.47/0.78  % % ------ Current options:
% 0.47/0.78  
% 0.47/0.78  % ------ Input Options
% 0.47/0.78  
% 0.47/0.78  % --out_options                         all
% 0.47/0.78  % --tptp_safe_out                       true
% 0.47/0.78  % --problem_path                        ""
% 0.47/0.78  % --include_path                        ""
% 0.47/0.78  % --clausifier                          .//eprover
% 0.47/0.78  % --clausifier_options                  --tstp-format  
% 0.47/0.78  % --stdin                               false
% 0.47/0.78  % --dbg_backtrace                       false
% 0.47/0.78  % --dbg_dump_prop_clauses               false
% 0.47/0.78  % --dbg_dump_prop_clauses_file          -
% 0.47/0.78  % --dbg_out_stat                        false
% 0.47/0.78  
% 0.47/0.78  % ------ General Options
% 0.47/0.78  
% 0.47/0.78  % --fof                                 false
% 0.47/0.78  % --time_out_real                       150.
% 0.47/0.78  % --time_out_prep_mult                  0.2
% 0.47/0.78  % --time_out_virtual                    -1.
% 0.47/0.78  % --schedule                            none
% 0.47/0.78  % --ground_splitting                    input
% 0.47/0.78  % --splitting_nvd                       16
% 0.47/0.78  % --non_eq_to_eq                        false
% 0.47/0.78  % --prep_gs_sim                         true
% 0.47/0.78  % --prep_unflatten                      false
% 0.47/0.78  % --prep_res_sim                        true
% 0.47/0.78  % --prep_upred                          true
% 0.47/0.78  % --res_sim_input                       true
% 0.47/0.78  % --clause_weak_htbl                    true
% 0.47/0.78  % --gc_record_bc_elim                   false
% 0.47/0.78  % --symbol_type_check                   false
% 0.47/0.78  % --clausify_out                        false
% 0.47/0.78  % --large_theory_mode                   false
% 0.47/0.78  % --prep_sem_filter                     none
% 0.47/0.78  % --prep_sem_filter_out                 false
% 0.47/0.78  % --preprocessed_out                    false
% 0.47/0.78  % --sub_typing                          false
% 0.47/0.78  % --brand_transform                     false
% 0.47/0.78  % --pure_diseq_elim                     true
% 0.47/0.78  % --min_unsat_core                      false
% 0.47/0.78  % --pred_elim                           true
% 0.47/0.78  % --add_important_lit                   false
% 0.47/0.78  % --soft_assumptions                    false
% 0.47/0.78  % --reset_solvers                       false
% 0.47/0.78  % --bc_imp_inh                          []
% 0.47/0.78  % --conj_cone_tolerance                 1.5
% 0.47/0.78  % --prolific_symb_bound                 500
% 0.47/0.78  % --lt_threshold                        2000
% 0.47/0.78  
% 0.47/0.78  % ------ SAT Options
% 0.47/0.78  
% 0.47/0.78  % --sat_mode                            false
% 0.47/0.78  % --sat_fm_restart_options              ""
% 0.47/0.78  % --sat_gr_def                          false
% 0.47/0.78  % --sat_epr_types                       true
% 0.47/0.78  % --sat_non_cyclic_types                false
% 0.47/0.78  % --sat_finite_models                   false
% 0.47/0.78  % --sat_fm_lemmas                       false
% 0.47/0.78  % --sat_fm_prep                         false
% 0.47/0.78  % --sat_fm_uc_incr                      true
% 0.47/0.78  % --sat_out_model                       small
% 0.47/0.78  % --sat_out_clauses                     false
% 0.47/0.78  
% 0.47/0.78  % ------ QBF Options
% 0.47/0.78  
% 0.47/0.78  % --qbf_mode                            false
% 0.47/0.78  % --qbf_elim_univ                       true
% 0.47/0.78  % --qbf_sk_in                           true
% 0.47/0.78  % --qbf_pred_elim                       true
% 0.47/0.78  % --qbf_split                           32
% 0.47/0.78  
% 0.47/0.78  % ------ BMC1 Options
% 0.47/0.78  
% 0.47/0.78  % --bmc1_incremental                    false
% 0.47/0.78  % --bmc1_axioms                         reachable_all
% 0.47/0.78  % --bmc1_min_bound                      0
% 0.47/0.79  % --bmc1_max_bound                      -1
% 0.47/0.79  % --bmc1_max_bound_default              -1
% 0.47/0.79  % --bmc1_symbol_reachability            true
% 0.47/0.79  % --bmc1_property_lemmas                false
% 0.47/0.79  % --bmc1_k_induction                    false
% 0.47/0.79  % --bmc1_non_equiv_states               false
% 0.47/0.79  % --bmc1_deadlock                       false
% 0.47/0.79  % --bmc1_ucm                            false
% 0.47/0.79  % --bmc1_add_unsat_core                 none
% 0.47/0.79  % --bmc1_unsat_core_children            false
% 0.47/0.79  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.47/0.79  % --bmc1_out_stat                       full
% 0.47/0.79  % --bmc1_ground_init                    false
% 0.47/0.79  % --bmc1_pre_inst_next_state            false
% 0.47/0.79  % --bmc1_pre_inst_state                 false
% 0.47/0.79  % --bmc1_pre_inst_reach_state           false
% 0.47/0.79  % --bmc1_out_unsat_core                 false
% 0.47/0.79  % --bmc1_aig_witness_out                false
% 0.47/0.79  % --bmc1_verbose                        false
% 0.47/0.79  % --bmc1_dump_clauses_tptp              false
% 0.47/0.79  % --bmc1_dump_unsat_core_tptp           false
% 0.47/0.79  % --bmc1_dump_file                      -
% 0.47/0.79  % --bmc1_ucm_expand_uc_limit            128
% 0.47/0.79  % --bmc1_ucm_n_expand_iterations        6
% 0.47/0.79  % --bmc1_ucm_extend_mode                1
% 0.47/0.79  % --bmc1_ucm_init_mode                  2
% 0.47/0.79  % --bmc1_ucm_cone_mode                  none
% 0.47/0.79  % --bmc1_ucm_reduced_relation_type      0
% 0.47/0.79  % --bmc1_ucm_relax_model                4
% 0.47/0.79  % --bmc1_ucm_full_tr_after_sat          true
% 0.47/0.79  % --bmc1_ucm_expand_neg_assumptions     false
% 0.47/0.79  % --bmc1_ucm_layered_model              none
% 0.47/0.79  % --bmc1_ucm_max_lemma_size             10
% 0.47/0.79  
% 0.47/0.79  % ------ AIG Options
% 0.47/0.79  
% 0.47/0.79  % --aig_mode                            false
% 0.47/0.79  
% 0.47/0.79  % ------ Instantiation Options
% 0.47/0.79  
% 0.47/0.79  % --instantiation_flag                  true
% 0.47/0.79  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.47/0.79  % --inst_solver_per_active              750
% 0.47/0.79  % --inst_solver_calls_frac              0.5
% 0.47/0.79  % --inst_passive_queue_type             priority_queues
% 0.47/0.79  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.47/0.79  % --inst_passive_queues_freq            [25;2]
% 0.47/0.79  % --inst_dismatching                    true
% 150.20/150.48  % --inst_eager_unprocessed_to_passive   true
% 150.20/150.48  % --inst_prop_sim_given                 true
% 150.20/150.48  % --inst_prop_sim_new                   false
% 150.20/150.48  % --inst_orphan_elimination             true
% 150.20/150.48  % --inst_learning_loop_flag             true
% 150.20/150.48  % --inst_learning_start                 3000
% 150.20/150.48  % --inst_learning_factor                2
% 150.20/150.48  % --inst_start_prop_sim_after_learn     3
% 150.20/150.48  % --inst_sel_renew                      solver
% 150.20/150.48  % --inst_lit_activity_flag              true
% 150.20/150.48  % --inst_out_proof                      true
% 150.20/150.48  
% 150.20/150.48  % ------ Resolution Options
% 150.20/150.48  
% 150.20/150.48  % --resolution_flag                     true
% 150.20/150.48  % --res_lit_sel                         kbo_max
% 150.20/150.48  % --res_to_prop_solver                  none
% 150.20/150.48  % --res_prop_simpl_new                  false
% 150.20/150.48  % --res_prop_simpl_given                false
% 150.20/150.48  % --res_passive_queue_type              priority_queues
% 150.20/150.48  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.20/150.48  % --res_passive_queues_freq             [15;5]
% 150.20/150.48  % --res_forward_subs                    full
% 150.20/150.48  % --res_backward_subs                   full
% 150.20/150.48  % --res_forward_subs_resolution         true
% 150.20/150.48  % --res_backward_subs_resolution        true
% 150.20/150.48  % --res_orphan_elimination              false
% 150.20/150.48  % --res_time_limit                      1000.
% 150.20/150.48  % --res_out_proof                       true
% 150.20/150.48  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_fc04c2.s
% 150.20/150.48  % --modulo                              true
% 150.20/150.48  
% 150.20/150.48  % ------ Combination Options
% 150.20/150.48  
% 150.20/150.48  % --comb_res_mult                       1000
% 150.20/150.48  % --comb_inst_mult                      300
% 150.20/150.48  % ------ 
% 150.20/150.48  
% 150.20/150.48  
% 150.20/150.48  
% 150.20/150.48  % ------ Proving...
% 150.20/150.48  % 
% 150.20/150.48  
% 150.20/150.48  
% 150.20/150.48  % Time Out Real
% 150.20/150.48  
% 150.20/150.48  % ------                             Statistics
% 150.20/150.48  
% 150.20/150.48  % ------ General
% 150.20/150.48  
% 150.20/150.48  % num_of_input_clauses:                 637
% 150.20/150.48  % num_of_input_neg_conjectures:         1
% 150.20/150.48  % num_of_splits:                        0
% 150.20/150.48  % num_of_split_atoms:                   0
% 150.20/150.48  % num_of_sem_filtered_clauses:          0
% 150.20/150.48  % num_of_subtypes:                      0
% 150.20/150.48  % monotx_restored_types:                0
% 150.20/150.48  % sat_num_of_epr_types:                 0
% 150.20/150.48  % sat_num_of_non_cyclic_types:          0
% 150.20/150.48  % sat_guarded_non_collapsed_types:      0
% 150.20/150.48  % is_epr:                               0
% 150.20/150.48  % is_horn:                              0
% 150.20/150.48  % has_eq:                               1
% 150.20/150.48  % num_pure_diseq_elim:                  0
% 150.20/150.48  % simp_replaced_by:                     0
% 150.20/150.48  % res_preprocessed:                     2
% 150.20/150.48  % prep_upred:                           0
% 150.20/150.48  % prep_unflattend:                      0
% 150.20/150.48  % pred_elim_cands:                      0
% 150.20/150.48  % pred_elim:                            0
% 150.20/150.48  % pred_elim_cl:                         0
% 150.20/150.48  % pred_elim_cycles:                     0
% 150.20/150.48  % forced_gc_time:                       0
% 150.20/150.48  % gc_basic_clause_elim:                 0
% 150.20/150.48  % parsing_time:                         0.033
% 150.20/150.48  % sem_filter_time:                      0.
% 150.20/150.48  % pred_elim_time:                       0.
% 150.20/150.48  % out_proof_time:                       0.
% 150.20/150.48  % monotx_time:                          0.
% 150.20/150.48  % subtype_inf_time:                     0.
% 150.20/150.48  % unif_index_cands_time:                0.126
% 150.20/150.48  % unif_index_add_time:                  0.031
% 150.20/150.48  % total_time:                           150.017
% 150.20/150.48  % num_of_symbols:                       135
% 150.20/150.48  % num_of_terms:                         425913
% 150.20/150.48  
% 150.20/150.48  % ------ Propositional Solver
% 150.20/150.48  
% 150.20/150.48  % prop_solver_calls:                    11
% 150.20/150.48  % prop_fast_solver_calls:               3
% 150.20/150.48  % prop_num_of_clauses:                  18290
% 150.20/150.48  % prop_preprocess_simplified:           28430
% 150.20/150.48  % prop_fo_subsumed:                     0
% 150.20/150.48  % prop_solver_time:                     0.004
% 150.20/150.48  % prop_fast_solver_time:                0.
% 150.20/150.48  % prop_unsat_core_time:                 0.
% 150.20/150.48  
% 150.20/150.48  % ------ QBF 
% 150.20/150.48  
% 150.20/150.48  % qbf_q_res:                            0
% 150.20/150.48  % qbf_num_tautologies:                  0
% 150.20/150.48  % qbf_prep_cycles:                      0
% 150.20/150.48  
% 150.20/150.48  % ------ BMC1
% 150.20/150.48  
% 150.20/150.48  % bmc1_current_bound:                   -1
% 150.20/150.48  % bmc1_last_solved_bound:               -1
% 150.20/150.48  % bmc1_unsat_core_size:                 -1
% 150.20/150.48  % bmc1_unsat_core_parents_size:         -1
% 150.20/150.48  % bmc1_merge_next_fun:                  0
% 150.20/150.48  % bmc1_unsat_core_clauses_time:         0.
% 150.20/150.48  
% 150.20/150.48  % ------ Instantiation
% 150.20/150.48  
% 150.20/150.48  % inst_num_of_clauses:                  12890
% 150.20/150.48  % inst_num_in_passive:                  10478
% 150.20/150.48  % inst_num_in_active:                   1303
% 150.27/150.48  % inst_num_in_unprocessed:              1107
% 150.27/150.48  % inst_num_of_loops:                    1500
% 150.27/150.48  % inst_num_of_learning_restarts:        0
% 150.27/150.48  % inst_num_moves_active_passive:        194
% 150.27/150.48  % inst_lit_activity:                    8804
% 150.27/150.48  % inst_lit_activity_moves:              0
% 150.27/150.48  % inst_num_tautologies:                 2
% 150.27/150.48  % inst_num_prop_implied:                0
% 150.27/150.48  % inst_num_existing_simplified:         0
% 150.27/150.48  % inst_num_eq_res_simplified:           0
% 150.27/150.48  % inst_num_child_elim:                  0
% 150.27/150.48  % inst_num_of_dismatching_blockings:    540
% 150.27/150.48  % inst_num_of_non_proper_insts:         4522
% 150.27/150.48  % inst_num_of_duplicates:               24373
% 150.27/150.48  % inst_inst_num_from_inst_to_res:       0
% 150.27/150.48  % inst_dismatching_checking_time:       0.149
% 150.27/150.48  
% 150.27/150.48  % ------ Resolution
% 150.27/150.48  
% 150.27/150.48  % res_num_of_clauses:                   195902
% 150.27/150.48  % res_num_in_passive:                   190934
% 150.27/150.48  % res_num_in_active:                    4553
% 150.27/150.48  % res_num_of_loops:                     5272
% 150.27/150.48  % res_forward_subset_subsumed:          14020
% 150.27/150.48  % res_backward_subset_subsumed:         83
% 150.27/150.48  % res_forward_subsumed:                 962
% 150.27/150.48  % res_backward_subsumed:                0
% 150.27/150.48  % res_forward_subsumption_resolution:   415
% 150.27/150.48  % res_backward_subsumption_resolution:  0
% 150.27/150.48  % res_clause_to_clause_subsumption:     539245
% 150.27/150.48  % res_orphan_elimination:               0
% 150.27/150.48  % res_tautology_del:                    287
% 150.27/150.48  % res_num_eq_res_simplified:            0
% 150.27/150.48  % res_num_sel_changes:                  0
% 150.27/150.48  % res_moves_from_active_to_pass:        0
% 150.27/150.48  
% 150.27/150.48  % Status Unknown
% 150.27/150.56  % Orienting using strategy ClausalAll
% 150.27/150.56  % Orientation found
% 150.27/150.56  % 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_fc04c2.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_4f1889 | grep -v "SZS"
% 150.38/150.57  
% 150.38/150.57  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.38/150.57  
% 150.38/150.57  % 
% 150.38/150.57  % ------  iProver source info 
% 150.38/150.57  
% 150.38/150.57  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.38/150.57  % git: non_committed_changes: true
% 150.38/150.57  % git: last_make_outside_of_git: true
% 150.38/150.57  
% 150.38/150.57  % 
% 150.38/150.57  % ------ Input Options
% 150.38/150.57  
% 150.38/150.57  % --out_options                         all
% 150.38/150.57  % --tptp_safe_out                       true
% 150.38/150.57  % --problem_path                        ""
% 150.38/150.57  % --include_path                        ""
% 150.38/150.57  % --clausifier                          .//eprover
% 150.38/150.57  % --clausifier_options                  --tstp-format  
% 150.38/150.57  % --stdin                               false
% 150.38/150.57  % --dbg_backtrace                       false
% 150.38/150.57  % --dbg_dump_prop_clauses               false
% 150.38/150.57  % --dbg_dump_prop_clauses_file          -
% 150.38/150.57  % --dbg_out_stat                        false
% 150.38/150.57  
% 150.38/150.57  % ------ General Options
% 150.38/150.57  
% 150.38/150.57  % --fof                                 false
% 150.38/150.57  % --time_out_real                       150.
% 150.38/150.57  % --time_out_prep_mult                  0.2
% 150.38/150.57  % --time_out_virtual                    -1.
% 150.38/150.57  % --schedule                            none
% 150.38/150.57  % --ground_splitting                    input
% 150.38/150.57  % --splitting_nvd                       16
% 150.38/150.57  % --non_eq_to_eq                        false
% 150.38/150.57  % --prep_gs_sim                         true
% 150.38/150.57  % --prep_unflatten                      false
% 150.38/150.57  % --prep_res_sim                        true
% 150.38/150.57  % --prep_upred                          true
% 150.38/150.57  % --res_sim_input                       true
% 150.38/150.57  % --clause_weak_htbl                    true
% 150.38/150.57  % --gc_record_bc_elim                   false
% 150.38/150.57  % --symbol_type_check                   false
% 150.38/150.57  % --clausify_out                        false
% 150.38/150.57  % --large_theory_mode                   false
% 150.38/150.57  % --prep_sem_filter                     none
% 150.38/150.57  % --prep_sem_filter_out                 false
% 150.38/150.57  % --preprocessed_out                    false
% 150.38/150.57  % --sub_typing                          false
% 150.38/150.57  % --brand_transform                     false
% 150.38/150.57  % --pure_diseq_elim                     true
% 150.38/150.57  % --min_unsat_core                      false
% 150.38/150.57  % --pred_elim                           true
% 150.38/150.57  % --add_important_lit                   false
% 150.38/150.57  % --soft_assumptions                    false
% 150.38/150.57  % --reset_solvers                       false
% 150.38/150.57  % --bc_imp_inh                          []
% 150.38/150.57  % --conj_cone_tolerance                 1.5
% 150.38/150.57  % --prolific_symb_bound                 500
% 150.38/150.57  % --lt_threshold                        2000
% 150.38/150.57  
% 150.38/150.57  % ------ SAT Options
% 150.38/150.57  
% 150.38/150.57  % --sat_mode                            false
% 150.38/150.57  % --sat_fm_restart_options              ""
% 150.38/150.57  % --sat_gr_def                          false
% 150.38/150.57  % --sat_epr_types                       true
% 150.38/150.57  % --sat_non_cyclic_types                false
% 150.38/150.57  % --sat_finite_models                   false
% 150.38/150.57  % --sat_fm_lemmas                       false
% 150.38/150.57  % --sat_fm_prep                         false
% 150.38/150.57  % --sat_fm_uc_incr                      true
% 150.38/150.57  % --sat_out_model                       small
% 150.38/150.57  % --sat_out_clauses                     false
% 150.38/150.57  
% 150.38/150.57  % ------ QBF Options
% 150.38/150.57  
% 150.38/150.57  % --qbf_mode                            false
% 150.38/150.57  % --qbf_elim_univ                       true
% 150.38/150.57  % --qbf_sk_in                           true
% 150.38/150.57  % --qbf_pred_elim                       true
% 150.38/150.57  % --qbf_split                           32
% 150.38/150.57  
% 150.38/150.57  % ------ BMC1 Options
% 150.38/150.57  
% 150.38/150.57  % --bmc1_incremental                    false
% 150.38/150.57  % --bmc1_axioms                         reachable_all
% 150.38/150.57  % --bmc1_min_bound                      0
% 150.38/150.57  % --bmc1_max_bound                      -1
% 150.38/150.57  % --bmc1_max_bound_default              -1
% 150.38/150.57  % --bmc1_symbol_reachability            true
% 150.38/150.57  % --bmc1_property_lemmas                false
% 150.38/150.57  % --bmc1_k_induction                    false
% 150.38/150.57  % --bmc1_non_equiv_states               false
% 150.38/150.57  % --bmc1_deadlock                       false
% 150.38/150.57  % --bmc1_ucm                            false
% 150.38/150.57  % --bmc1_add_unsat_core                 none
% 150.38/150.57  % --bmc1_unsat_core_children            false
% 150.38/150.57  % --bmc1_unsat_core_extrapolate_axioms  false
% 150.38/150.57  % --bmc1_out_stat                       full
% 150.38/150.57  % --bmc1_ground_init                    false
% 150.38/150.57  % --bmc1_pre_inst_next_state            false
% 150.38/150.57  % --bmc1_pre_inst_state                 false
% 150.38/150.57  % --bmc1_pre_inst_reach_state           false
% 150.38/150.57  % --bmc1_out_unsat_core                 false
% 150.38/150.57  % --bmc1_aig_witness_out                false
% 150.38/150.57  % --bmc1_verbose                        false
% 150.38/150.57  % --bmc1_dump_clauses_tptp              false
% 150.55/150.86  % --bmc1_dump_unsat_core_tptp           false
% 150.55/150.86  % --bmc1_dump_file                      -
% 150.55/150.86  % --bmc1_ucm_expand_uc_limit            128
% 150.55/150.86  % --bmc1_ucm_n_expand_iterations        6
% 150.55/150.86  % --bmc1_ucm_extend_mode                1
% 150.55/150.86  % --bmc1_ucm_init_mode                  2
% 150.55/150.86  % --bmc1_ucm_cone_mode                  none
% 150.55/150.86  % --bmc1_ucm_reduced_relation_type      0
% 150.55/150.86  % --bmc1_ucm_relax_model                4
% 150.55/150.86  % --bmc1_ucm_full_tr_after_sat          true
% 150.55/150.86  % --bmc1_ucm_expand_neg_assumptions     false
% 150.55/150.86  % --bmc1_ucm_layered_model              none
% 150.55/150.86  % --bmc1_ucm_max_lemma_size             10
% 150.55/150.86  
% 150.55/150.86  % ------ AIG Options
% 150.55/150.86  
% 150.55/150.86  % --aig_mode                            false
% 150.55/150.86  
% 150.55/150.86  % ------ Instantiation Options
% 150.55/150.86  
% 150.55/150.86  % --instantiation_flag                  true
% 150.55/150.86  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 150.55/150.86  % --inst_solver_per_active              750
% 150.55/150.86  % --inst_solver_calls_frac              0.5
% 150.55/150.86  % --inst_passive_queue_type             priority_queues
% 150.55/150.86  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.55/150.86  % --inst_passive_queues_freq            [25;2]
% 150.55/150.86  % --inst_dismatching                    true
% 150.55/150.86  % --inst_eager_unprocessed_to_passive   true
% 150.55/150.86  % --inst_prop_sim_given                 true
% 150.55/150.86  % --inst_prop_sim_new                   false
% 150.55/150.86  % --inst_orphan_elimination             true
% 150.55/150.86  % --inst_learning_loop_flag             true
% 150.55/150.86  % --inst_learning_start                 3000
% 150.55/150.86  % --inst_learning_factor                2
% 150.55/150.86  % --inst_start_prop_sim_after_learn     3
% 150.55/150.86  % --inst_sel_renew                      solver
% 150.55/150.86  % --inst_lit_activity_flag              true
% 150.55/150.86  % --inst_out_proof                      true
% 150.55/150.86  
% 150.55/150.86  % ------ Resolution Options
% 150.55/150.86  
% 150.55/150.86  % --resolution_flag                     true
% 150.55/150.86  % --res_lit_sel                         kbo_max
% 150.55/150.86  % --res_to_prop_solver                  none
% 150.55/150.86  % --res_prop_simpl_new                  false
% 150.55/150.86  % --res_prop_simpl_given                false
% 150.55/150.86  % --res_passive_queue_type              priority_queues
% 150.55/150.86  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.55/150.86  % --res_passive_queues_freq             [15;5]
% 150.55/150.86  % --res_forward_subs                    full
% 150.55/150.86  % --res_backward_subs                   full
% 150.55/150.86  % --res_forward_subs_resolution         true
% 150.55/150.86  % --res_backward_subs_resolution        true
% 150.55/150.86  % --res_orphan_elimination              false
% 150.55/150.86  % --res_time_limit                      1000.
% 150.55/150.86  % --res_out_proof                       true
% 150.55/150.86  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_fc04c2.s
% 150.55/150.86  % --modulo                              true
% 150.55/150.86  
% 150.55/150.86  % ------ Combination Options
% 150.55/150.86  
% 150.55/150.86  % --comb_res_mult                       1000
% 150.55/150.86  % --comb_inst_mult                      300
% 150.55/150.86  % ------ 
% 150.55/150.86  
% 150.55/150.86  % ------ Parsing...% successful
% 150.55/150.86  
% 150.55/150.86  % ------ 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 % 
% 150.55/150.86  
% 150.55/150.86  % ------ Proving...
% 150.55/150.86  % ------ Problem Properties 
% 150.55/150.86  
% 150.55/150.86  % 
% 150.55/150.86  % EPR                                   false
% 150.55/150.86  % Horn                                  false
% 150.55/150.86  % Has equality                          true
% 150.55/150.86  
% 150.55/150.86  % % ------ Input Options Time Limit: Unbounded
% 150.55/150.86  
% 150.55/150.86  
% 150.55/150.86  Compiling...
% 150.55/150.86  Loading plugin: done.
% 150.55/150.86  Compiling...
% 150.55/150.86  Loading plugin: done.
% 150.55/150.86  % % ------ Current options:
% 150.55/150.86  
% 150.55/150.86  % ------ Input Options
% 150.55/150.86  
% 150.55/150.86  % --out_options                         all
% 150.55/150.86  % --tptp_safe_out                       true
% 150.55/150.86  % --problem_path                        ""
% 150.55/150.86  % --include_path                        ""
% 150.55/150.86  % --clausifier                          .//eprover
% 150.55/150.86  % --clausifier_options                  --tstp-format  
% 150.55/150.86  % --stdin                               false
% 150.55/150.86  % --dbg_backtrace                       false
% 150.55/150.86  % --dbg_dump_prop_clauses               false
% 150.55/150.86  % --dbg_dump_prop_clauses_file          -
% 150.55/150.86  % --dbg_out_stat                        false
% 150.55/150.86  
% 150.55/150.86  % ------ General Options
% 150.55/150.86  
% 150.55/150.86  % --fof                                 false
% 150.55/150.86  % --time_out_real                       150.
% 150.55/150.86  % --time_out_prep_mult                  0.2
% 150.55/150.86  % --time_out_virtual                    -1.
% 150.55/150.86  % --schedule                            none
% 150.55/150.86  % --ground_splitting                    input
% 150.55/150.86  % --splitting_nvd                       16
% 150.55/150.86  % --non_eq_to_eq                        false
% 150.55/150.86  % --prep_gs_sim                         true
% 150.55/150.86  % --prep_unflatten                      false
% 150.55/150.86  % --prep_res_sim                        true
% 150.55/150.86  % --prep_upred                          true
% 150.55/150.86  % --res_sim_input                       true
% 150.55/150.86  % --clause_weak_htbl                    true
% 150.55/150.86  % --gc_record_bc_elim                   false
% 150.55/150.86  % --symbol_type_check                   false
% 150.55/150.86  % --clausify_out                        false
% 150.55/150.86  % --large_theory_mode                   false
% 150.55/150.86  % --prep_sem_filter                     none
% 150.55/150.86  % --prep_sem_filter_out                 false
% 150.55/150.86  % --preprocessed_out                    false
% 150.55/150.86  % --sub_typing                          false
% 150.55/150.86  % --brand_transform                     false
% 150.55/150.86  % --pure_diseq_elim                     true
% 150.55/150.86  % --min_unsat_core                      false
% 150.55/150.86  % --pred_elim                           true
% 150.55/150.86  % --add_important_lit                   false
% 150.55/150.86  % --soft_assumptions                    false
% 150.55/150.86  % --reset_solvers                       false
% 150.55/150.86  % --bc_imp_inh                          []
% 150.55/150.86  % --conj_cone_tolerance                 1.5
% 150.55/150.86  % --prolific_symb_bound                 500
% 150.55/150.86  % --lt_threshold                        2000
% 150.55/150.86  
% 150.55/150.86  % ------ SAT Options
% 150.55/150.86  
% 150.55/150.86  % --sat_mode                            false
% 150.55/150.86  % --sat_fm_restart_options              ""
% 150.55/150.86  % --sat_gr_def                          false
% 150.55/150.86  % --sat_epr_types                       true
% 150.55/150.86  % --sat_non_cyclic_types                false
% 150.55/150.86  % --sat_finite_models                   false
% 150.55/150.86  % --sat_fm_lemmas                       false
% 150.55/150.86  % --sat_fm_prep                         false
% 150.55/150.86  % --sat_fm_uc_incr                      true
% 150.55/150.86  % --sat_out_model                       small
% 150.55/150.86  % --sat_out_clauses                     false
% 150.55/150.86  
% 150.55/150.86  % ------ QBF Options
% 150.55/150.86  
% 150.55/150.86  % --qbf_mode                            false
% 150.55/150.86  % --qbf_elim_univ                       true
% 150.55/150.86  % --qbf_sk_in                           true
% 150.55/150.86  % --qbf_pred_elim                       true
% 150.55/150.86  % --qbf_split                           32
% 150.55/150.86  
% 150.55/150.86  % ------ BMC1 Options
% 150.55/150.86  
% 150.55/150.86  % --bmc1_incremental                    false
% 150.55/150.86  % --bmc1_axioms                         reachable_all
% 150.55/150.86  % --bmc1_min_bound                      0
% 150.55/150.86  % --bmc1_max_bound                      -1
% 150.55/150.86  % --bmc1_max_bound_default              -1
% 150.55/150.86  % --bmc1_symbol_reachability            true
% 150.55/150.86  % --bmc1_property_lemmas                false
% 150.55/150.86  % --bmc1_k_induction                    false
% 150.55/150.86  % --bmc1_non_equiv_states               false
% 150.55/150.86  % --bmc1_deadlock                       false
% 150.55/150.86  % --bmc1_ucm                            false
% 150.55/150.86  % --bmc1_add_unsat_core                 none
% 150.55/150.86  % --bmc1_unsat_core_children            false
% 150.55/150.86  % --bmc1_unsat_core_extrapolate_axioms  false
% 150.55/150.86  % --bmc1_out_stat                       full
% 150.55/150.86  % --bmc1_ground_init                    false
% 150.55/150.86  % --bmc1_pre_inst_next_state            false
% 150.55/150.86  % --bmc1_pre_inst_state                 false
% 150.55/150.86  % --bmc1_pre_inst_reach_state           false
% 150.55/150.86  % --bmc1_out_unsat_core                 false
% 150.55/150.86  % --bmc1_aig_witness_out                false
% 150.55/150.86  % --bmc1_verbose                        false
% 150.55/150.86  % --bmc1_dump_clauses_tptp              false
% 150.55/150.86  % --bmc1_dump_unsat_core_tptp           false
% 150.55/150.86  % --bmc1_dump_file                      -
% 150.55/150.86  % --bmc1_ucm_expand_uc_limit            128
% 150.55/150.86  % --bmc1_ucm_n_expand_iterations        6
% 150.55/150.86  % --bmc1_ucm_extend_mode                1
% 150.55/150.86  % --bmc1_ucm_init_mode                  2
% 150.55/150.86  % --bmc1_ucm_cone_mode                  none
% 150.55/150.86  % --bmc1_ucm_reduced_relation_type      0
% 150.55/150.86  % --bmc1_ucm_relax_model                4
% 150.55/150.86  % --bmc1_ucm_full_tr_after_sat          true
% 150.55/150.86  % --bmc1_ucm_expand_neg_assumptions     false
% 150.55/150.86  % --bmc1_ucm_layered_model              none
% 150.55/150.86  % --bmc1_ucm_max_lemma_size             10
% 150.55/150.86  
% 150.55/150.86  % ------ AIG Options
% 150.55/150.86  
% 150.55/150.86  % --aig_mode                            false
% 150.55/150.86  
% 150.55/150.86  % ------ Instantiation Options
% 150.55/150.86  
% 150.55/150.86  % --instantiation_flag                  true
% 150.55/150.86  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 150.55/150.86  % --inst_solver_per_active              750
% 150.55/150.86  % --inst_solver_calls_frac              0.5
% 150.55/150.86  % --inst_passive_queue_type             priority_queues
% 150.55/150.86  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.55/150.86  % --inst_passive_queues_freq            [25;2]
% 150.55/150.86  % --inst_dismatching                    true
% 150.55/150.86  % --inst_eager_unprocessed_to_passive   true
% 150.55/150.86  % --inst_prop_sim_given                 true
% 150.55/150.86  % --inst_prop_sim_new                   false
% 150.55/150.86  % --inst_orphan_elimination             true
% 150.55/150.86  % --inst_learning_loop_flag             true
% 150.55/150.86  % --inst_learning_start                 3000
% 150.55/150.86  % --inst_learning_factor                2
% 150.55/150.86  % --inst_start_prop_sim_after_learn     3
% 150.55/150.86  % --inst_sel_renew                      solver
% 150.55/150.86  % --inst_lit_activity_flag              true
% 150.55/150.86  % --inst_out_proof                      true
% 150.55/150.86  
% 150.55/150.86  % ------ Resolution Options
% 150.55/150.86  
% 150.55/150.86  % --resolution_flag                     true
% 150.55/150.86  % --res_lit_sel                         kbo_max
% 150.55/150.86  % --res_to_prop_solver                  none
% 150.55/150.86  % --res_prop_simpl_new                  false
% 150.55/150.86  % --res_prop_simpl_given                false
% 150.55/150.86  % --res_passive_queue_type              priority_queues
% 150.55/150.86  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.55/150.86  % --res_passive_queues_freq             [15;5]
% 150.55/150.86  % --res_forward_subs                    full
% 150.55/150.86  % --res_backward_subs                   full
% 150.55/150.86  % --res_forward_subs_resolution         true
% 150.55/150.86  % --res_backward_subs_resolution        true
% 150.55/150.86  % --res_orphan_elimination              false
% 150.55/150.86  % --res_time_limit                      1000.
% 150.55/150.86  % --res_out_proof                       true
% 150.55/150.86  % --proof_out_file                      /export/starexec/sandbox/tmp/iprover_proof_fc04c2.s
% 150.55/150.86  % --modulo                              true
% 150.55/150.86  
% 150.55/150.86  % ------ Combination Options
% 150.55/150.86  
% 150.55/150.86  % --comb_res_mult                       1000
% 150.55/150.86  % --comb_inst_mult                      300
% 150.55/150.86  % ------ 
% 150.55/150.86  
% 150.55/150.86  
% 150.55/150.86  
% 150.55/150.86  % ------ Proving...
% 150.55/150.86  % warning:  shown sat in sat incomplete mode 
% 150.55/150.86  % 
% 150.55/150.86  
% 150.55/150.86  
% 150.55/150.86  
% 150.55/150.86  
% 150.55/150.86  cnf(c_631,plain,
% 150.55/150.86      ( homomorphism(X0,X1,X2,X3,X4)
% 150.55/150.86      | apply(X0,apply_to_two_arguments(X2,f32(X0,X1,X2,X3,X4),f33(X0,X1,X2,X3,X4))) != apply_to_two_arguments(X4,apply(X0,f32(X0,X1,X2,X3,X4)),apply(X0,f33(X0,X1,X2,X3,X4)))
% 150.55/150.86      | ~ maps(X0,X1,X3)
% 150.55/150.86      | ~ closed(X3,X4)
% 150.55/150.86      | ~ closed(X1,X2) ),
% 150.55/150.86      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_876_4) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_2691,plain,
% 150.55/150.86      ( homomorphism(X0,X1,X2,X3,X4)
% 150.55/150.86      | apply(X0,apply_to_two_arguments(X2,f32(X0,X1,X2,X3,X4),f33(X0,X1,X2,X3,X4))) != apply_to_two_arguments(X4,apply(X0,f32(X0,X1,X2,X3,X4)),apply(X0,f33(X0,X1,X2,X3,X4)))
% 150.55/150.86      | ~ maps(X0,X1,X3)
% 150.55/150.86      | ~ closed(X3,X4)
% 150.55/150.86      | ~ closed(X1,X2) ),
% 150.55/150.86      inference(copy,[status(esa)],[c_631]) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_2692,plain,
% 150.55/150.86      ( ~ closed(X0,X1)
% 150.55/150.86      | ~ closed(X2,X3)
% 150.55/150.86      | ~ maps(X4,X2,X0)
% 150.55/150.86      | homomorphism(X4,X2,X3,X0,X1)
% 150.55/150.86      | apply(X4,apply_to_two_arguments(X3,f32(X4,X2,X3,X0,X1),f33(X4,X2,X3,X0,X1))) != apply_to_two_arguments(X1,apply(X4,f32(X4,X2,X3,X0,X1)),apply(X4,f33(X4,X2,X3,X0,X1))) ),
% 150.55/150.86      inference(rewriting,[status(thm)],[c_2691]) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_627,plain,
% 150.55/150.86      ( inverse(X0,X1,X2,X3)
% 150.55/150.86      | apply_to_two_arguments(X1,f38(X0,X1,X2,X3),apply(X3,f38(X0,X1,X2,X3))) != X2
% 150.55/150.86      | apply_to_two_arguments(X1,apply(X3,f38(X0,X1,X2,X3)),f38(X0,X1,X2,X3)) != X2
% 150.55/150.86      | ~ maps(X3,X0,X0) ),
% 150.55/150.86      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_877_3) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_2683,plain,
% 150.55/150.86      ( inverse(X0,X1,X2,X3)
% 150.55/150.86      | apply_to_two_arguments(X1,f38(X0,X1,X2,X3),apply(X3,f38(X0,X1,X2,X3))) != X2
% 150.55/150.86      | apply_to_two_arguments(X1,apply(X3,f38(X0,X1,X2,X3)),f38(X0,X1,X2,X3)) != X2
% 150.55/150.86      | ~ maps(X3,X0,X0) ),
% 150.55/150.86      inference(copy,[status(esa)],[c_627]) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_2684,plain,
% 150.55/150.86      ( ~ maps(X0,X1,X1)
% 150.55/150.86      | inverse(X1,X2,X3,X0)
% 150.55/150.86      | apply_to_two_arguments(X2,apply(X0,f38(X1,X2,X3,X0)),f38(X1,X2,X3,X0)) != X3
% 150.55/150.86      | apply_to_two_arguments(X2,f38(X1,X2,X3,X0),apply(X0,f38(X1,X2,X3,X0))) != X3 ),
% 150.55/150.86      inference(rewriting,[status(thm)],[c_2683]) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_623,plain,
% 150.55/150.86      ( ~ closed(X0,X1)
% 150.55/150.86      | member(f33(X2,X0,X1,X3,X4),X0)
% 150.55/150.86      | homomorphism(X2,X0,X1,X3,X4)
% 150.55/150.86      | ~ maps(X2,X0,X3)
% 150.55/150.86      | ~ closed(X3,X4) ),
% 150.55/150.86      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_878_3) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_2675,plain,
% 150.55/150.86      ( ~ closed(X0,X1)
% 150.55/150.86      | member(f33(X2,X0,X1,X3,X4),X0)
% 150.55/150.86      | homomorphism(X2,X0,X1,X3,X4)
% 150.55/150.86      | ~ maps(X2,X0,X3)
% 150.55/150.86      | ~ closed(X3,X4) ),
% 150.55/150.86      inference(copy,[status(esa)],[c_623]) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_2676,plain,
% 150.55/150.86      ( member(f33(X0,X1,X2,X3,X4),X1)
% 150.55/150.86      | ~ closed(X1,X2)
% 150.55/150.86      | ~ closed(X3,X4)
% 150.55/150.86      | ~ maps(X0,X1,X3)
% 150.55/150.86      | homomorphism(X0,X1,X2,X3,X4) ),
% 150.55/150.86      inference(rewriting,[status(thm)],[c_2675]) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_622,plain,
% 150.55/150.86      ( member(f33(X0,X1,X2,X3,X4),X1)
% 150.55/150.86      | homomorphism(X0,X1,X2,X3,X4)
% 150.55/150.86      | ~ maps(X0,X1,X3)
% 150.55/150.86      | ~ closed(X3,X4)
% 150.55/150.86      | ~ closed(X1,X2) ),
% 150.55/150.86      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_878_4) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_2673,plain,
% 150.55/150.86      ( member(f33(X0,X1,X2,X3,X4),X1)
% 150.55/150.86      | homomorphism(X0,X1,X2,X3,X4)
% 150.55/150.86      | ~ maps(X0,X1,X3)
% 150.55/150.86      | ~ closed(X3,X4)
% 150.55/150.86      | ~ closed(X1,X2) ),
% 150.55/150.86      inference(copy,[status(esa)],[c_622]) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_2674,plain,
% 150.55/150.86      ( member(f33(X0,X1,X2,X3,X4),X1)
% 150.55/150.86      | ~ closed(X3,X4)
% 150.55/150.86      | ~ closed(X1,X2)
% 150.55/150.86      | ~ maps(X0,X1,X3)
% 150.55/150.86      | homomorphism(X0,X1,X2,X3,X4) ),
% 150.55/150.86      inference(rewriting,[status(thm)],[c_2673]) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_618,plain,
% 150.55/150.86      ( ~ closed(X0,X1)
% 150.55/150.86      | member(f32(X2,X0,X1,X3,X4),X0)
% 150.55/150.86      | homomorphism(X2,X0,X1,X3,X4)
% 150.55/150.86      | ~ maps(X2,X0,X3)
% 150.55/150.86      | ~ closed(X3,X4) ),
% 150.55/150.86      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_879_3) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_2665,plain,
% 150.55/150.86      ( ~ closed(X0,X1)
% 150.55/150.86      | member(f32(X2,X0,X1,X3,X4),X0)
% 150.55/150.86      | homomorphism(X2,X0,X1,X3,X4)
% 150.55/150.86      | ~ maps(X2,X0,X3)
% 150.55/150.86      | ~ closed(X3,X4) ),
% 150.55/150.86      inference(copy,[status(esa)],[c_618]) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_2666,plain,
% 150.55/150.86      ( member(f32(X0,X1,X2,X3,X4),X1)
% 150.55/150.86      | ~ closed(X1,X2)
% 150.55/150.86      | ~ closed(X3,X4)
% 150.55/150.86      | ~ maps(X0,X1,X3)
% 150.55/150.86      | homomorphism(X0,X1,X2,X3,X4) ),
% 150.55/150.86      inference(rewriting,[status(thm)],[c_2665]) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_617,plain,
% 150.55/150.86      ( member(f32(X0,X1,X2,X3,X4),X1)
% 150.55/150.86      | homomorphism(X0,X1,X2,X3,X4)
% 150.55/150.86      | ~ maps(X0,X1,X3)
% 150.55/150.86      | ~ closed(X3,X4)
% 150.55/150.86      | ~ closed(X1,X2) ),
% 150.55/150.86      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_879_4) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_2663,plain,
% 150.55/150.86      ( member(f32(X0,X1,X2,X3,X4),X1)
% 150.55/150.86      | homomorphism(X0,X1,X2,X3,X4)
% 150.55/150.86      | ~ maps(X0,X1,X3)
% 150.55/150.86      | ~ closed(X3,X4)
% 150.55/150.86      | ~ closed(X1,X2) ),
% 150.55/150.86      inference(copy,[status(esa)],[c_617]) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_2664,plain,
% 150.55/150.86      ( member(f32(X0,X1,X2,X3,X4),X1)
% 150.55/150.86      | ~ closed(X3,X4)
% 150.55/150.86      | ~ closed(X1,X2)
% 150.55/150.86      | ~ maps(X0,X1,X3)
% 150.55/150.86      | homomorphism(X0,X1,X2,X3,X4) ),
% 150.55/150.86      inference(rewriting,[status(thm)],[c_2663]) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_615,plain,
% 150.55/150.86      ( ~ homomorphism(X0,X1,X2,X3,X4)
% 150.55/150.86      | ~ member(X5,X1)
% 150.55/150.86      | apply(X0,apply_to_two_arguments(X2,X5,X6)) = apply_to_two_arguments(X4,apply(X0,X5),apply(X0,X6))
% 150.55/150.86      | ~ member(X6,X1) ),
% 150.55/150.86      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_880_1) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_2659,plain,
% 150.55/150.86      ( ~ homomorphism(X0,X1,X2,X3,X4)
% 150.55/150.86      | ~ member(X5,X1)
% 150.55/150.86      | apply(X0,apply_to_two_arguments(X2,X5,X6)) = apply_to_two_arguments(X4,apply(X0,X5),apply(X0,X6))
% 150.55/150.86      | ~ member(X6,X1) ),
% 150.55/150.86      inference(copy,[status(esa)],[c_615]) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_2660,plain,
% 150.55/150.86      ( ~ member(X0,X1)
% 150.55/150.86      | ~ member(X2,X1)
% 150.55/150.86      | ~ homomorphism(X3,X1,X4,X5,X6)
% 150.55/150.86      | apply(X3,apply_to_two_arguments(X4,X0,X2)) = apply_to_two_arguments(X6,apply(X3,X0),apply(X3,X2)) ),
% 150.55/150.86      inference(rewriting,[status(thm)],[c_2659]) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_613,plain,
% 150.55/150.86      ( apply(X0,apply_to_two_arguments(X1,X2,X3)) = apply_to_two_arguments(X4,apply(X0,X2),apply(X0,X3))
% 150.55/150.86      | ~ member(X3,X5)
% 150.55/150.86      | ~ member(X2,X5)
% 150.55/150.86      | ~ homomorphism(X0,X5,X1,X6,X4) ),
% 150.55/150.86      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_880_3) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_2655,plain,
% 150.55/150.86      ( apply(X0,apply_to_two_arguments(X1,X2,X3)) = apply_to_two_arguments(X4,apply(X0,X2),apply(X0,X3))
% 150.55/150.86      | ~ member(X3,X5)
% 150.55/150.86      | ~ member(X2,X5)
% 150.55/150.86      | ~ homomorphism(X0,X5,X1,X6,X4) ),
% 150.55/150.86      inference(copy,[status(esa)],[c_613]) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_2656,plain,
% 150.55/150.86      ( ~ member(X0,X1)
% 150.55/150.86      | ~ member(X2,X1)
% 150.55/150.86      | ~ homomorphism(X3,X1,X4,X5,X6)
% 150.55/150.86      | apply(X3,apply_to_two_arguments(X4,X2,X0)) = apply_to_two_arguments(X6,apply(X3,X2),apply(X3,X0)) ),
% 150.55/150.86      inference(rewriting,[status(thm)],[c_2655]) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_602,plain,
% 150.55/150.86      ( member(X0,X1)
% 150.55/150.86      | ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 150.55/150.86      | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 150.55/150.86      | ~ little_set(X1)
% 150.55/150.86      | ~ member(X0,times) ),
% 150.55/150.86      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_884_4) ).
% 150.55/150.86  
% 150.55/150.86  cnf(c_2633,plain,
% 150.55/150.86      ( member(X0,X1)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,times) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_602]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2634,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f50(X1,X0)),empty_set),X0)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(successor(f51(X1,X0)),f52(X1,X0)),apply_to_two_arguments(plus,f53(X1,X0),f52(X1,X0))),X0)
% 150.55/150.87      | ~ member(X1,times)
% 150.55/150.87      | member(X1,X0) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2633]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_597,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(f50(X0,X1),natural_numbers)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,times) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_885_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2623,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(f50(X0,X1),natural_numbers)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(successor(f51(X0,X1)),f52(X0,X1)),apply_to_two_arguments(plus,f53(X0,X1),f52(X0,X1))),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,times) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_597]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2624,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(successor(f51(X1,X0)),f52(X1,X0)),apply_to_two_arguments(plus,f53(X1,X0),f52(X1,X0))),X0)
% 150.55/150.87      | member(f50(X1,X0),natural_numbers)
% 150.55/150.87      | ~ member(X1,times)
% 150.55/150.87      | member(X1,X0) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2623]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_592,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,plus) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_886_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2613,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,plus) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_592]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2614,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f45(X1,X0)),f45(X1,X0)),X0)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(successor(f46(X1,X0)),f47(X1,X0)),successor(f48(X1,X0))),X0)
% 150.55/150.87      | ~ member(X1,plus)
% 150.55/150.87      | member(X1,X0) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2613]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_587,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(f45(X0,X1),natural_numbers)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,plus) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_887_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2603,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(f45(X0,X1),natural_numbers)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(successor(f46(X0,X1)),f47(X0,X1)),successor(f48(X0,X1))),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,plus) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_587]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2604,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(successor(f46(X1,X0)),f47(X1,X0)),successor(f48(X1,X0))),X0)
% 150.55/150.87      | member(f45(X1,X0),natural_numbers)
% 150.55/150.87      | ~ member(X1,plus)
% 150.55/150.87      | member(X1,X0) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2603]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_582,plain,
% 150.55/150.87      ( member(f38(X0,X1,X2,X3),X0) | inverse(X0,X1,X2,X3) | ~ maps(X3,X0,X0) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_889_2) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2593,plain,
% 150.55/150.87      ( member(f38(X0,X1,X2,X3),X0) | inverse(X0,X1,X2,X3) | ~ maps(X3,X0,X0) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_582]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2594,plain,
% 150.55/150.87      ( member(f38(X0,X1,X2,X3),X0) | ~ maps(X3,X0,X0) | inverse(X0,X1,X2,X3) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2593]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_577,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,plus) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_890_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2583,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,plus) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_577]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2584,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f45(X1,X0)),f45(X1,X0)),X0)
% 150.55/150.87      | member(ordered_pair(ordered_pair(f46(X1,X0),f47(X1,X0)),f48(X1,X0)),X0)
% 150.55/150.87      | ~ member(X1,plus)
% 150.55/150.87      | member(X1,X0) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2583]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_568,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,times) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_892_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2565,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,times) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_568]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2566,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f50(X1,X0)),empty_set),X0)
% 150.55/150.87      | member(ordered_pair(ordered_pair(f51(X1,X0),f52(X1,X0)),f53(X1,X0)),X0)
% 150.55/150.87      | ~ member(X1,times)
% 150.55/150.87      | member(X1,X0) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2565]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_564,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | ~ member(X2,natural_numbers)
% 150.55/150.87      | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 150.55/150.87      | member(X0,times)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 150.55/150.87      | ~ member(X3,natural_numbers) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_893_3) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2557,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | ~ member(X2,natural_numbers)
% 150.55/150.87      | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 150.55/150.87      | member(X0,times)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 150.55/150.87      | ~ member(X3,natural_numbers) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_564]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2558,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | ~ member(X2,natural_numbers)
% 150.55/150.87      | ~ member(X3,natural_numbers)
% 150.55/150.87      | member(X0,times) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2557]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_563,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 150.55/150.87      | member(X0,times)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 150.55/150.87      | ~ member(X3,natural_numbers)
% 150.55/150.87      | ~ member(X2,natural_numbers) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_893_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2555,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 150.55/150.87      | member(X0,times)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 150.55/150.87      | ~ member(X3,natural_numbers)
% 150.55/150.87      | ~ member(X2,natural_numbers) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_563]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2556,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | ~ member(X3,natural_numbers)
% 150.55/150.87      | ~ member(X2,natural_numbers)
% 150.55/150.87      | member(X0,times) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2555]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_561,plain,
% 150.55/150.87      ( member(ordered_pair(ordered_pair(successor(X0),X1),apply_to_two_arguments(plus,X2,X1)),f54(X3))
% 150.55/150.87      | member(X3,times)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f54(X3))
% 150.55/150.87      | ~ member(X2,natural_numbers)
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | ~ member(X0,natural_numbers)
% 150.55/150.87      | ~ little_set(X3) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_893_6) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2551,plain,
% 150.55/150.87      ( member(ordered_pair(ordered_pair(successor(X0),X1),apply_to_two_arguments(plus,X2,X1)),f54(X3))
% 150.55/150.87      | member(X3,times)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f54(X3))
% 150.55/150.87      | ~ member(X2,natural_numbers)
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | ~ member(X0,natural_numbers)
% 150.55/150.87      | ~ little_set(X3) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_561]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2552,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | member(ordered_pair(ordered_pair(successor(X1),X2),apply_to_two_arguments(plus,X3,X2)),f54(X0))
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f54(X0))
% 150.55/150.87      | ~ member(X3,natural_numbers)
% 150.55/150.87      | ~ member(X2,natural_numbers)
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | member(X0,times) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2551]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_556,plain,
% 150.55/150.87      ( group(X0,X1)
% 150.55/150.87      | ~ inverse(X0,X1,X2,X3)
% 150.55/150.87      | ~ identity(X0,X1,X2)
% 150.55/150.87      | ~ associative(X0,X1)
% 150.55/150.87      | ~ closed(X0,X1) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_894_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2541,plain,
% 150.55/150.87      ( group(X0,X1)
% 150.55/150.87      | ~ inverse(X0,X1,X2,X3)
% 150.55/150.87      | ~ identity(X0,X1,X2)
% 150.55/150.87      | ~ associative(X0,X1)
% 150.55/150.87      | ~ closed(X0,X1) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_556]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2542,plain,
% 150.55/150.87      ( ~ closed(X0,X1)
% 150.55/150.87      | group(X0,X1)
% 150.55/150.87      | ~ associative(X0,X1)
% 150.55/150.87      | ~ identity(X0,X1,X2)
% 150.55/150.87      | ~ inverse(X0,X1,X2,X3) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2541]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_549,plain,
% 150.55/150.87      ( apply_to_two_arguments(X0,X1,apply(X2,X1)) = X3
% 150.55/150.87      | ~ member(X1,X4)
% 150.55/150.87      | ~ inverse(X4,X0,X3,X2) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_897_2) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2527,plain,
% 150.55/150.87      ( apply_to_two_arguments(X0,X1,apply(X2,X1)) = X3
% 150.55/150.87      | ~ member(X1,X4)
% 150.55/150.87      | ~ inverse(X4,X0,X3,X2) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_549]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2528,plain,
% 150.55/150.87      ( ~ member(X0,X1)
% 150.55/150.87      | ~ inverse(X1,X2,X3,X4)
% 150.55/150.87      | apply_to_two_arguments(X2,X0,apply(X4,X0)) = X3 ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2527]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_546,plain,
% 150.55/150.87      ( apply_to_two_arguments(X0,apply(X1,X2),X2) = X3
% 150.55/150.87      | ~ member(X2,X4)
% 150.55/150.87      | ~ inverse(X4,X0,X3,X1) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_898_2) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2521,plain,
% 150.55/150.87      ( apply_to_two_arguments(X0,apply(X1,X2),X2) = X3
% 150.55/150.87      | ~ member(X2,X4)
% 150.55/150.87      | ~ inverse(X4,X0,X3,X1) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_546]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2522,plain,
% 150.55/150.87      ( ~ member(X0,X1)
% 150.55/150.87      | ~ inverse(X1,X2,X3,X4)
% 150.55/150.87      | apply_to_two_arguments(X2,apply(X4,X0),X0) = X3 ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2521]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_541,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(f48(X0,X1),natural_numbers)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,plus) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_899_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2511,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(f48(X0,X1),natural_numbers)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,plus) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_541]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2512,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f45(X1,X0)),f45(X1,X0)),X0)
% 150.55/150.87      | member(f48(X1,X0),natural_numbers)
% 150.55/150.87      | ~ member(X1,plus)
% 150.55/150.87      | member(X1,X0) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2511]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_536,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(f47(X0,X1),natural_numbers)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,plus) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_900_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2501,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(f47(X0,X1),natural_numbers)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,plus) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_536]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2502,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f45(X1,X0)),f45(X1,X0)),X0)
% 150.55/150.87      | member(f47(X1,X0),natural_numbers)
% 150.55/150.87      | ~ member(X1,plus)
% 150.55/150.87      | member(X1,X0) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2501]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_531,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(f46(X0,X1),natural_numbers)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,plus) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_901_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2491,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(f46(X0,X1),natural_numbers)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f45(X0,X1)),f45(X0,X1)),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,plus) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_531]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2492,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f45(X1,X0)),f45(X1,X0)),X0)
% 150.55/150.87      | member(f46(X1,X0),natural_numbers)
% 150.55/150.87      | ~ member(X1,plus)
% 150.55/150.87      | member(X1,X0) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2491]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_524,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 150.55/150.87      | member(f50(X0,X1),natural_numbers)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,times) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_903_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2477,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(ordered_pair(ordered_pair(f51(X0,X1),f52(X0,X1)),f53(X0,X1)),X1)
% 150.55/150.87      | member(f50(X0,X1),natural_numbers)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,times) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_524]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2478,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | member(ordered_pair(ordered_pair(f51(X1,X0),f52(X1,X0)),f53(X1,X0)),X0)
% 150.55/150.87      | member(f50(X1,X0),natural_numbers)
% 150.55/150.87      | ~ member(X1,times)
% 150.55/150.87      | member(X1,X0) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2477]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_519,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 150.55/150.87      | member(f45(X0,X1),natural_numbers)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,plus) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_904_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2467,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(ordered_pair(ordered_pair(f46(X0,X1),f47(X0,X1)),f48(X0,X1)),X1)
% 150.55/150.87      | member(f45(X0,X1),natural_numbers)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,plus) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_519]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2468,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | member(ordered_pair(ordered_pair(f46(X1,X0),f47(X1,X0)),f48(X1,X0)),X0)
% 150.55/150.87      | member(f45(X1,X0),natural_numbers)
% 150.55/150.87      | ~ member(X1,plus)
% 150.55/150.87      | member(X1,X0) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2467]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_517,plain,
% 150.55/150.87      ( ~ associative(X0,X1)
% 150.55/150.87      | ~ member(X2,X0)
% 150.55/150.87      | ~ member(X3,X0)
% 150.55/150.87      | apply_to_two_arguments(X1,apply_to_two_arguments(X1,X2,X3),X4) = apply_to_two_arguments(X1,X2,apply_to_two_arguments(X1,X3,X4))
% 150.55/150.87      | ~ member(X4,X0) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_905_1) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2463,plain,
% 150.55/150.87      ( ~ associative(X0,X1)
% 150.55/150.87      | ~ member(X2,X0)
% 150.55/150.87      | ~ member(X3,X0)
% 150.55/150.87      | apply_to_two_arguments(X1,apply_to_two_arguments(X1,X2,X3),X4) = apply_to_two_arguments(X1,X2,apply_to_two_arguments(X1,X3,X4))
% 150.55/150.87      | ~ member(X4,X0) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_517]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2464,plain,
% 150.55/150.87      ( ~ member(X0,X1)
% 150.55/150.87      | ~ member(X2,X1)
% 150.55/150.87      | ~ member(X3,X1)
% 150.55/150.87      | ~ associative(X1,X4)
% 150.55/150.87      | apply_to_two_arguments(X4,apply_to_two_arguments(X4,X0,X2),X3) = apply_to_two_arguments(X4,X0,apply_to_two_arguments(X4,X2,X3)) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2463]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_516,plain,
% 150.55/150.87      ( ~ associative(X0,X1)
% 150.55/150.87      | ~ member(X2,X0)
% 150.55/150.87      | apply_to_two_arguments(X1,apply_to_two_arguments(X1,X2,X3),X4) = apply_to_two_arguments(X1,X2,apply_to_two_arguments(X1,X3,X4))
% 150.55/150.87      | ~ member(X4,X0)
% 150.55/150.87      | ~ member(X3,X0) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_905_2) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2461,plain,
% 150.55/150.87      ( ~ associative(X0,X1)
% 150.55/150.87      | ~ member(X2,X0)
% 150.55/150.87      | apply_to_two_arguments(X1,apply_to_two_arguments(X1,X2,X3),X4) = apply_to_two_arguments(X1,X2,apply_to_two_arguments(X1,X3,X4))
% 150.55/150.87      | ~ member(X4,X0)
% 150.55/150.87      | ~ member(X3,X0) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_516]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2462,plain,
% 150.55/150.87      ( ~ member(X0,X1)
% 150.55/150.87      | ~ member(X2,X1)
% 150.55/150.87      | ~ member(X3,X1)
% 150.55/150.87      | ~ associative(X1,X4)
% 150.55/150.87      | apply_to_two_arguments(X4,apply_to_two_arguments(X4,X0,X3),X2) = apply_to_two_arguments(X4,X0,apply_to_two_arguments(X4,X3,X2)) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2461]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_514,plain,
% 150.55/150.87      ( apply_to_two_arguments(X0,apply_to_two_arguments(X0,X1,X2),X3) = apply_to_two_arguments(X0,X1,apply_to_two_arguments(X0,X2,X3))
% 150.55/150.87      | ~ member(X3,X4)
% 150.55/150.87      | ~ member(X2,X4)
% 150.55/150.87      | ~ member(X1,X4)
% 150.55/150.87      | ~ associative(X4,X0) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_905_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2457,plain,
% 150.55/150.87      ( apply_to_two_arguments(X0,apply_to_two_arguments(X0,X1,X2),X3) = apply_to_two_arguments(X0,X1,apply_to_two_arguments(X0,X2,X3))
% 150.55/150.87      | ~ member(X3,X4)
% 150.55/150.87      | ~ member(X2,X4)
% 150.55/150.87      | ~ member(X1,X4)
% 150.55/150.87      | ~ associative(X4,X0) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_514]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2458,plain,
% 150.55/150.87      ( ~ member(X0,X1)
% 150.55/150.87      | ~ member(X2,X1)
% 150.55/150.87      | ~ member(X3,X1)
% 150.55/150.87      | ~ associative(X1,X4)
% 150.55/150.87      | apply_to_two_arguments(X4,apply_to_two_arguments(X4,X3,X2),X0) = apply_to_two_arguments(X4,X3,apply_to_two_arguments(X4,X2,X0)) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2457]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_505,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(f53(X0,X1),natural_numbers)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,times) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_908_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2439,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(f53(X0,X1),natural_numbers)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,times) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_505]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2440,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f50(X1,X0)),empty_set),X0)
% 150.55/150.87      | member(f53(X1,X0),natural_numbers)
% 150.55/150.87      | ~ member(X1,times)
% 150.55/150.87      | member(X1,X0) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2439]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_500,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(f52(X0,X1),natural_numbers)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,times) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_909_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2429,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(f52(X0,X1),natural_numbers)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,times) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_500]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2430,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f50(X1,X0)),empty_set),X0)
% 150.55/150.87      | member(f52(X1,X0),natural_numbers)
% 150.55/150.87      | ~ member(X1,times)
% 150.55/150.87      | member(X1,X0) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2429]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_495,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(f51(X0,X1),natural_numbers)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,times) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_910_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2419,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | member(f51(X0,X1),natural_numbers)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f50(X0,X1)),empty_set),X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,times) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_495]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2420,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(empty_set,f50(X1,X0)),empty_set),X0)
% 150.55/150.87      | member(f51(X1,X0),natural_numbers)
% 150.55/150.87      | ~ member(X1,times)
% 150.55/150.87      | member(X1,X0) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2419]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_491,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | ~ member(X2,natural_numbers)
% 150.55/150.87      | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 150.55/150.87      | member(X0,plus)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 150.55/150.87      | ~ member(X3,natural_numbers) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_911_3) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2411,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | ~ member(X2,natural_numbers)
% 150.55/150.87      | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 150.55/150.87      | member(X0,plus)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 150.55/150.87      | ~ member(X3,natural_numbers) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_491]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2412,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | ~ member(X2,natural_numbers)
% 150.55/150.87      | ~ member(X3,natural_numbers)
% 150.55/150.87      | member(X0,plus) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2411]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_490,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 150.55/150.87      | member(X0,plus)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 150.55/150.87      | ~ member(X3,natural_numbers)
% 150.55/150.87      | ~ member(X2,natural_numbers) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_911_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2409,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 150.55/150.87      | member(X0,plus)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 150.55/150.87      | ~ member(X3,natural_numbers)
% 150.55/150.87      | ~ member(X2,natural_numbers) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_490]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2410,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | ~ member(X3,natural_numbers)
% 150.55/150.87      | ~ member(X2,natural_numbers)
% 150.55/150.87      | member(X0,plus) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2409]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_488,plain,
% 150.55/150.87      ( member(ordered_pair(ordered_pair(successor(X0),X1),successor(X2)),f49(X3))
% 150.55/150.87      | member(X3,plus)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f49(X3))
% 150.55/150.87      | ~ member(X2,natural_numbers)
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | ~ member(X0,natural_numbers)
% 150.55/150.87      | ~ little_set(X3) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_911_6) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2405,plain,
% 150.55/150.87      ( member(ordered_pair(ordered_pair(successor(X0),X1),successor(X2)),f49(X3))
% 150.55/150.87      | member(X3,plus)
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(X0,X1),X2),f49(X3))
% 150.55/150.87      | ~ member(X2,natural_numbers)
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | ~ member(X0,natural_numbers)
% 150.55/150.87      | ~ little_set(X3) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_488]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2406,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | member(ordered_pair(ordered_pair(successor(X1),X2),successor(X3)),f49(X0))
% 150.55/150.87      | ~ member(ordered_pair(ordered_pair(X1,X2),X3),f49(X0))
% 150.55/150.87      | ~ member(X3,natural_numbers)
% 150.55/150.87      | ~ member(X2,natural_numbers)
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | member(X0,plus) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2405]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_474,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | member(X0,flip_range_of(X3))
% 150.55/150.87      | ~ member(ordered_pair(X1,ordered_pair(X4,X2)),X3)
% 150.55/150.87      | X0 != ordered_pair(X1,ordered_pair(X2,X4))
% 150.55/150.87      | ~ little_set(X4) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_917_3) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2377,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | member(X0,flip_range_of(X3))
% 150.55/150.87      | ~ member(ordered_pair(X1,ordered_pair(X4,X2)),X3)
% 150.55/150.87      | X0 != ordered_pair(X1,ordered_pair(X2,X4))
% 150.55/150.87      | ~ little_set(X4) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_474]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2378,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ member(ordered_pair(X1,ordered_pair(X3,X2)),X4)
% 150.55/150.87      | member(X0,flip_range_of(X4))
% 150.55/150.87      | X0 != ordered_pair(X1,ordered_pair(X2,X3)) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2377]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_473,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | member(X0,flip_range_of(X2))
% 150.55/150.87      | ~ member(ordered_pair(X1,ordered_pair(X3,X4)),X2)
% 150.55/150.87      | X0 != ordered_pair(X1,ordered_pair(X4,X3))
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ little_set(X4) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_917_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2375,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | member(X0,flip_range_of(X2))
% 150.55/150.87      | ~ member(ordered_pair(X1,ordered_pair(X3,X4)),X2)
% 150.55/150.87      | X0 != ordered_pair(X1,ordered_pair(X4,X3))
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ little_set(X4) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_473]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2376,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ member(ordered_pair(X1,ordered_pair(X2,X3)),X4)
% 150.55/150.87      | member(X0,flip_range_of(X4))
% 150.55/150.87      | X0 != ordered_pair(X1,ordered_pair(X3,X2)) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2375]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_472,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | member(X0,flip_range_of(X1))
% 150.55/150.87      | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 150.55/150.87      | X0 != ordered_pair(X2,ordered_pair(X4,X3))
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ little_set(X4)
% 150.55/150.87      | ~ little_set(X2) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_917_5) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2373,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | member(X0,flip_range_of(X1))
% 150.55/150.87      | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 150.55/150.87      | X0 != ordered_pair(X2,ordered_pair(X4,X3))
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ little_set(X4)
% 150.55/150.87      | ~ little_set(X2) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_472]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2374,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ member(ordered_pair(X3,ordered_pair(X1,X2)),X4)
% 150.55/150.87      | member(X0,flip_range_of(X4))
% 150.55/150.87      | X0 != ordered_pair(X3,ordered_pair(X2,X1)) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2373]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_471,plain,
% 150.55/150.87      ( member(X0,flip_range_of(X1))
% 150.55/150.87      | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 150.55/150.87      | X0 != ordered_pair(X2,ordered_pair(X4,X3))
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ little_set(X4)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X0) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_917_6) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2371,plain,
% 150.55/150.87      ( member(X0,flip_range_of(X1))
% 150.55/150.87      | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 150.55/150.87      | X0 != ordered_pair(X2,ordered_pair(X4,X3))
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ little_set(X4)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X0) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_471]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2372,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ member(ordered_pair(X2,ordered_pair(X0,X1)),X4)
% 150.55/150.87      | member(X3,flip_range_of(X4))
% 150.55/150.87      | X3 != ordered_pair(X2,ordered_pair(X1,X0)) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2371]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_467,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | member(X0,rotate_right(X3))
% 150.55/150.87      | ~ member(ordered_pair(X2,ordered_pair(X4,X1)),X3)
% 150.55/150.87      | X0 != ordered_pair(X1,ordered_pair(X2,X4))
% 150.55/150.87      | ~ little_set(X4) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_918_3) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2363,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | member(X0,rotate_right(X3))
% 150.55/150.87      | ~ member(ordered_pair(X2,ordered_pair(X4,X1)),X3)
% 150.55/150.87      | X0 != ordered_pair(X1,ordered_pair(X2,X4))
% 150.55/150.87      | ~ little_set(X4) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_467]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2364,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ member(ordered_pair(X2,ordered_pair(X3,X1)),X4)
% 150.55/150.87      | member(X0,rotate_right(X4))
% 150.55/150.87      | X0 != ordered_pair(X1,ordered_pair(X2,X3)) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2363]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_466,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | member(X0,rotate_right(X2))
% 150.55/150.87      | ~ member(ordered_pair(X3,ordered_pair(X4,X1)),X2)
% 150.55/150.87      | X0 != ordered_pair(X1,ordered_pair(X3,X4))
% 150.55/150.87      | ~ little_set(X4)
% 150.55/150.87      | ~ little_set(X3) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_918_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2361,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | member(X0,rotate_right(X2))
% 150.55/150.87      | ~ member(ordered_pair(X3,ordered_pair(X4,X1)),X2)
% 150.55/150.87      | X0 != ordered_pair(X1,ordered_pair(X3,X4))
% 150.55/150.87      | ~ little_set(X4)
% 150.55/150.87      | ~ little_set(X3) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_466]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2362,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ member(ordered_pair(X3,ordered_pair(X2,X1)),X4)
% 150.55/150.87      | member(X0,rotate_right(X4))
% 150.55/150.87      | X0 != ordered_pair(X1,ordered_pair(X3,X2)) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2361]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_465,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | member(X0,rotate_right(X1))
% 150.55/150.87      | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 150.55/150.87      | X0 != ordered_pair(X4,ordered_pair(X2,X3))
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X4) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_918_5) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2359,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | member(X0,rotate_right(X1))
% 150.55/150.87      | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 150.55/150.87      | X0 != ordered_pair(X4,ordered_pair(X2,X3))
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X4) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_465]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2360,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ member(ordered_pair(X2,ordered_pair(X1,X3)),X4)
% 150.55/150.87      | member(X0,rotate_right(X4))
% 150.55/150.87      | X0 != ordered_pair(X3,ordered_pair(X2,X1)) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2359]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_464,plain,
% 150.55/150.87      ( member(X0,rotate_right(X1))
% 150.55/150.87      | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 150.55/150.87      | X0 != ordered_pair(X4,ordered_pair(X2,X3))
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X4)
% 150.55/150.87      | ~ little_set(X0) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_918_6) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2357,plain,
% 150.55/150.87      ( member(X0,rotate_right(X1))
% 150.55/150.87      | ~ member(ordered_pair(X2,ordered_pair(X3,X4)),X1)
% 150.55/150.87      | X0 != ordered_pair(X4,ordered_pair(X2,X3))
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X4)
% 150.55/150.87      | ~ little_set(X0) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_464]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2358,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ member(ordered_pair(X1,ordered_pair(X0,X2)),X4)
% 150.55/150.87      | member(X3,rotate_right(X4))
% 150.55/150.87      | X3 != ordered_pair(X2,ordered_pair(X1,X0)) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2357]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_462,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | X0 != ordered_pair(X1,X2)
% 150.55/150.87      | ~ member(ordered_pair(X1,X3),X4)
% 150.55/150.87      | member(X0,compose(X4,X5))
% 150.55/150.87      | ~ member(ordered_pair(X3,X2),X5) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_919_1) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2353,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | X0 != ordered_pair(X1,X2)
% 150.55/150.87      | ~ member(ordered_pair(X1,X3),X4)
% 150.55/150.87      | member(X0,compose(X4,X5))
% 150.55/150.87      | ~ member(ordered_pair(X3,X2),X5) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_462]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2354,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ member(ordered_pair(X1,X3),X4)
% 150.55/150.87      | ~ member(ordered_pair(X3,X2),X5)
% 150.55/150.87      | member(X0,compose(X4,X5))
% 150.55/150.87      | X0 != ordered_pair(X1,X2) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2353]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_459,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | member(X0,compose(X3,X4))
% 150.55/150.87      | ~ member(ordered_pair(X5,X2),X4)
% 150.55/150.87      | ~ member(ordered_pair(X1,X5),X3)
% 150.55/150.87      | X0 != ordered_pair(X1,X2)
% 150.55/150.87      | ~ little_set(X5) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_919_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2347,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | member(X0,compose(X3,X4))
% 150.55/150.87      | ~ member(ordered_pair(X5,X2),X4)
% 150.55/150.87      | ~ member(ordered_pair(X1,X5),X3)
% 150.55/150.87      | X0 != ordered_pair(X1,X2)
% 150.55/150.87      | ~ little_set(X5) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_459]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2348,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ member(ordered_pair(X3,X2),X4)
% 150.55/150.87      | ~ member(ordered_pair(X1,X3),X5)
% 150.55/150.87      | member(X0,compose(X5,X4))
% 150.55/150.87      | X0 != ordered_pair(X1,X2) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2347]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_458,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | member(X0,compose(X2,X3))
% 150.55/150.87      | ~ member(ordered_pair(X4,X5),X3)
% 150.55/150.87      | ~ member(ordered_pair(X1,X4),X2)
% 150.55/150.87      | X0 != ordered_pair(X1,X5)
% 150.55/150.87      | ~ little_set(X4)
% 150.55/150.87      | ~ little_set(X5) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_919_5) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2345,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | member(X0,compose(X2,X3))
% 150.55/150.87      | ~ member(ordered_pair(X4,X5),X3)
% 150.55/150.87      | ~ member(ordered_pair(X1,X4),X2)
% 150.55/150.87      | X0 != ordered_pair(X1,X5)
% 150.55/150.87      | ~ little_set(X4)
% 150.55/150.87      | ~ little_set(X5) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_458]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2346,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ member(ordered_pair(X2,X3),X4)
% 150.55/150.87      | ~ member(ordered_pair(X1,X2),X5)
% 150.55/150.87      | member(X0,compose(X5,X4))
% 150.55/150.87      | X0 != ordered_pair(X1,X3) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2345]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_457,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | member(X0,compose(X1,X2))
% 150.55/150.87      | ~ member(ordered_pair(X3,X4),X2)
% 150.55/150.87      | ~ member(ordered_pair(X5,X3),X1)
% 150.55/150.87      | X0 != ordered_pair(X5,X4)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ little_set(X4)
% 150.55/150.87      | ~ little_set(X5) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_919_6) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2343,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | member(X0,compose(X1,X2))
% 150.55/150.87      | ~ member(ordered_pair(X3,X4),X2)
% 150.55/150.87      | ~ member(ordered_pair(X5,X3),X1)
% 150.55/150.87      | X0 != ordered_pair(X5,X4)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ little_set(X4)
% 150.55/150.87      | ~ little_set(X5) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_457]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2344,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ member(ordered_pair(X1,X2),X4)
% 150.55/150.87      | ~ member(ordered_pair(X3,X1),X5)
% 150.55/150.87      | member(X0,compose(X5,X4))
% 150.55/150.87      | X0 != ordered_pair(X3,X2) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2343]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_456,plain,
% 150.55/150.87      ( member(X0,compose(X1,X2))
% 150.55/150.87      | ~ member(ordered_pair(X3,X4),X2)
% 150.55/150.87      | ~ member(ordered_pair(X5,X3),X1)
% 150.55/150.87      | X0 != ordered_pair(X5,X4)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ little_set(X4)
% 150.55/150.87      | ~ little_set(X5)
% 150.55/150.87      | ~ little_set(X0) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_919_7) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2341,plain,
% 150.55/150.87      ( member(X0,compose(X1,X2))
% 150.55/150.87      | ~ member(ordered_pair(X3,X4),X2)
% 150.55/150.87      | ~ member(ordered_pair(X5,X3),X1)
% 150.55/150.87      | X0 != ordered_pair(X5,X4)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ little_set(X4)
% 150.55/150.87      | ~ little_set(X5)
% 150.55/150.87      | ~ little_set(X0) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_456]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2342,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ member(ordered_pair(X0,X1),X4)
% 150.55/150.87      | ~ member(ordered_pair(X2,X0),X5)
% 150.55/150.87      | member(X3,compose(X5,X4))
% 150.55/150.87      | X3 != ordered_pair(X2,X1) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2341]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_449,plain,
% 150.55/150.87      ( member(f37(X0,X1,X2),X0) | identity(X0,X1,X2) | ~ member(X2,X0) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_922_2) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2327,plain,
% 150.55/150.87      ( member(f37(X0,X1,X2),X0) | identity(X0,X1,X2) | ~ member(X2,X0) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_449]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2328,plain,
% 150.55/150.87      ( member(f37(X0,X1,X2),X0) | ~ member(X2,X0) | identity(X0,X1,X2) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2327]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_446,plain,
% 150.55/150.87      ( ~ member(X0,prime_numbers)
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | member(X1,non_ordered_pair(successor(empty_set),X0))
% 150.55/150.87      | apply_to_two_arguments(times,X1,X2) != X0
% 150.55/150.87      | ~ member(X2,natural_numbers) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_923_2) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2321,plain,
% 150.55/150.87      ( ~ member(X0,prime_numbers)
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | member(X1,non_ordered_pair(successor(empty_set),X0))
% 150.55/150.87      | apply_to_two_arguments(times,X1,X2) != X0
% 150.55/150.87      | ~ member(X2,natural_numbers) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_446]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2322,plain,
% 150.55/150.87      ( member(X0,non_ordered_pair(successor(empty_set),X1))
% 150.55/150.87      | ~ member(X1,prime_numbers)
% 150.55/150.87      | ~ member(X0,natural_numbers)
% 150.55/150.87      | ~ member(X2,natural_numbers)
% 150.55/150.87      | apply_to_two_arguments(times,X0,X2) != X1 ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2321]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_444,plain,
% 150.55/150.87      ( member(X0,non_ordered_pair(successor(empty_set),X1))
% 150.55/150.87      | apply_to_two_arguments(times,X0,X2) != X1
% 150.55/150.87      | ~ member(X2,natural_numbers)
% 150.55/150.87      | ~ member(X0,natural_numbers)
% 150.55/150.87      | ~ member(X1,prime_numbers) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_923_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2317,plain,
% 150.55/150.87      ( member(X0,non_ordered_pair(successor(empty_set),X1))
% 150.55/150.87      | apply_to_two_arguments(times,X0,X2) != X1
% 150.55/150.87      | ~ member(X2,natural_numbers)
% 150.55/150.87      | ~ member(X0,natural_numbers)
% 150.55/150.87      | ~ member(X1,prime_numbers) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_444]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2318,plain,
% 150.55/150.87      ( member(X0,non_ordered_pair(successor(empty_set),X1))
% 150.55/150.87      | ~ member(X1,prime_numbers)
% 150.55/150.87      | ~ member(X2,natural_numbers)
% 150.55/150.87      | ~ member(X0,natural_numbers)
% 150.55/150.87      | apply_to_two_arguments(times,X0,X2) != X1 ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2317]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_438,plain,
% 150.55/150.87      ( ~ commutes(X0,X1)
% 150.55/150.87      | ~ member(X2,X0)
% 150.55/150.87      | apply_to_two_arguments(X1,X2,X3) = apply_to_two_arguments(X1,X3,X2)
% 150.55/150.87      | ~ member(X3,X0) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_926_1) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2305,plain,
% 150.55/150.87      ( ~ commutes(X0,X1)
% 150.55/150.87      | ~ member(X2,X0)
% 150.55/150.87      | apply_to_two_arguments(X1,X2,X3) = apply_to_two_arguments(X1,X3,X2)
% 150.55/150.87      | ~ member(X3,X0) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_438]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2306,plain,
% 150.55/150.87      ( ~ member(X0,X1)
% 150.55/150.87      | ~ member(X2,X1)
% 150.55/150.87      | ~ commutes(X1,X3)
% 150.55/150.87      | apply_to_two_arguments(X3,X0,X2) = apply_to_two_arguments(X3,X2,X0) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2305]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_436,plain,
% 150.55/150.87      ( apply_to_two_arguments(X0,X1,X2) = apply_to_two_arguments(X0,X2,X1)
% 150.55/150.87      | ~ member(X2,X3)
% 150.55/150.87      | ~ member(X1,X3)
% 150.55/150.87      | ~ commutes(X3,X0) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_926_3) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2301,plain,
% 150.55/150.87      ( apply_to_two_arguments(X0,X1,X2) = apply_to_two_arguments(X0,X2,X1)
% 150.55/150.87      | ~ member(X2,X3)
% 150.55/150.87      | ~ member(X1,X3)
% 150.55/150.87      | ~ commutes(X3,X0) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_436]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2302,plain,
% 150.55/150.87      ( ~ member(X0,X1)
% 150.55/150.87      | ~ member(X2,X1)
% 150.55/150.87      | ~ commutes(X1,X3)
% 150.55/150.87      | apply_to_two_arguments(X3,X2,X0) = apply_to_two_arguments(X3,X0,X2) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2301]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_431,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | ~ member(successor(f43(X0,X1)),X1)
% 150.55/150.87      | ~ member(empty_set,X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,natural_numbers) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_927_4) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2291,plain,
% 150.55/150.87      ( member(X0,X1)
% 150.55/150.87      | ~ member(successor(f43(X0,X1)),X1)
% 150.55/150.87      | ~ member(empty_set,X1)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ member(X0,natural_numbers) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_431]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2292,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ member(empty_set,X0)
% 150.55/150.87      | ~ member(successor(f43(X1,X0)),X0)
% 150.55/150.87      | ~ member(X1,natural_numbers)
% 150.55/150.87      | member(X1,X0) ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2291]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_414,plain,
% 150.55/150.87      ( apply_to_two_arguments(X0,X1,X2) = X1
% 150.55/150.87      | ~ member(X1,X3)
% 150.55/150.87      | ~ identity(X3,X0,X2) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_935_2) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2257,plain,
% 150.55/150.87      ( apply_to_two_arguments(X0,X1,X2) = X1
% 150.55/150.87      | ~ member(X1,X3)
% 150.55/150.87      | ~ identity(X3,X0,X2) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_414]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2258,plain,
% 150.55/150.87      ( ~ member(X0,X1)
% 150.55/150.87      | ~ identity(X1,X2,X3)
% 150.55/150.87      | apply_to_two_arguments(X2,X0,X3) = X0 ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2257]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_411,plain,
% 150.55/150.87      ( apply_to_two_arguments(X0,X1,X2) = X2
% 150.55/150.87      | ~ member(X2,X3)
% 150.55/150.87      | ~ identity(X3,X0,X1) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_936_2) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2251,plain,
% 150.55/150.87      ( apply_to_two_arguments(X0,X1,X2) = X2
% 150.55/150.87      | ~ member(X2,X3)
% 150.55/150.87      | ~ identity(X3,X0,X1) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_411]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2252,plain,
% 150.55/150.87      ( ~ member(X0,X1)
% 150.55/150.87      | ~ identity(X1,X2,X3)
% 150.55/150.87      | apply_to_two_arguments(X2,X3,X0) = X0 ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2251]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_409,plain,
% 150.55/150.87      ( ~ single_valued_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ member(ordered_pair(X1,X2),X0)
% 150.55/150.87      | X2 = X3
% 150.55/150.87      | ~ member(ordered_pair(X1,X3),X0) ),
% 150.55/150.87      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_937_1) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2247,plain,
% 150.55/150.87      ( ~ single_valued_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ little_set(X3)
% 150.55/150.87      | ~ member(ordered_pair(X1,X2),X0)
% 150.55/150.87      | X2 = X3
% 150.55/150.87      | ~ member(ordered_pair(X1,X3),X0) ),
% 150.55/150.87      inference(copy,[status(esa)],[c_409]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_2248,plain,
% 150.55/150.87      ( ~ little_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | ~ member(ordered_pair(X0,X1),X3)
% 150.55/150.87      | ~ member(ordered_pair(X0,X2),X3)
% 150.55/150.87      | ~ single_valued_set(X3)
% 150.55/150.87      | X1 = X2 ),
% 150.55/150.87      inference(rewriting,[status(thm)],[c_2247]) ).
% 150.55/150.87  
% 150.55/150.87  cnf(c_407,plain,
% 150.55/150.87      ( ~ single_valued_set(X0)
% 150.55/150.87      | ~ little_set(X1)
% 150.55/150.87      | ~ little_set(X2)
% 150.55/150.87      | X2 = X3
% 150.55/150.87      | ~ member(ordered_pair(X1,X3),X0)
% 150.55/150.87      | ~ member(ordered_pair(X1,X2),X0)
% 150.55/150.87      | ~ little_set(X3) ),
% 150.55/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_937_3) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2243,plain,
% 150.55/150.88      ( ~ single_valued_set(X0)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ little_set(X2)
% 150.55/150.88      | X2 = X3
% 150.55/150.88      | ~ member(ordered_pair(X1,X3),X0)
% 150.55/150.88      | ~ member(ordered_pair(X1,X2),X0)
% 150.55/150.88      | ~ little_set(X3) ),
% 150.55/150.88      inference(copy,[status(esa)],[c_407]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2244,plain,
% 150.55/150.88      ( ~ little_set(X0)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ little_set(X2)
% 150.55/150.88      | ~ member(ordered_pair(X0,X2),X3)
% 150.55/150.88      | ~ member(ordered_pair(X0,X1),X3)
% 150.55/150.88      | ~ single_valued_set(X3)
% 150.55/150.88      | X1 = X2 ),
% 150.55/150.88      inference(rewriting,[status(thm)],[c_2243]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_406,plain,
% 150.55/150.88      ( ~ single_valued_set(X0)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | X2 = X3
% 150.55/150.88      | ~ member(ordered_pair(X1,X3),X0)
% 150.55/150.88      | ~ member(ordered_pair(X1,X2),X0)
% 150.55/150.88      | ~ little_set(X3)
% 150.55/150.88      | ~ little_set(X2) ),
% 150.55/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_937_4) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2241,plain,
% 150.55/150.88      ( ~ single_valued_set(X0)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | X2 = X3
% 150.55/150.88      | ~ member(ordered_pair(X1,X3),X0)
% 150.55/150.88      | ~ member(ordered_pair(X1,X2),X0)
% 150.55/150.88      | ~ little_set(X3)
% 150.55/150.88      | ~ little_set(X2) ),
% 150.55/150.88      inference(copy,[status(esa)],[c_406]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2242,plain,
% 150.55/150.88      ( ~ little_set(X0)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ little_set(X2)
% 150.55/150.88      | ~ member(ordered_pair(X0,X1),X3)
% 150.55/150.88      | ~ member(ordered_pair(X0,X2),X3)
% 150.55/150.88      | ~ single_valued_set(X3)
% 150.55/150.88      | X2 = X1 ),
% 150.55/150.88      inference(rewriting,[status(thm)],[c_2241]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_404,plain,
% 150.55/150.88      ( X0 = X1
% 150.55/150.88      | ~ member(ordered_pair(X2,X1),X3)
% 150.55/150.88      | ~ member(ordered_pair(X2,X0),X3)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ little_set(X0)
% 150.55/150.88      | ~ little_set(X2)
% 150.55/150.88      | ~ single_valued_set(X3) ),
% 150.55/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_937_6) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2237,plain,
% 150.55/150.88      ( X0 = X1
% 150.55/150.88      | ~ member(ordered_pair(X2,X1),X3)
% 150.55/150.88      | ~ member(ordered_pair(X2,X0),X3)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ little_set(X0)
% 150.55/150.88      | ~ little_set(X2)
% 150.55/150.88      | ~ single_valued_set(X3) ),
% 150.55/150.88      inference(copy,[status(esa)],[c_404]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2238,plain,
% 150.55/150.88      ( ~ little_set(X0)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ little_set(X2)
% 150.55/150.88      | ~ member(ordered_pair(X2,X0),X3)
% 150.55/150.88      | ~ member(ordered_pair(X2,X1),X3)
% 150.55/150.88      | ~ single_valued_set(X3)
% 150.55/150.88      | X1 = X0 ),
% 150.55/150.88      inference(rewriting,[status(thm)],[c_2237]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_400,plain,
% 150.55/150.88      ( closed(X0,X1)
% 150.55/150.88      | ~ maps(X1,cross_product(X0,X0),X0)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ little_set(X0) ),
% 150.55/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_938_3) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2229,plain,
% 150.55/150.88      ( closed(X0,X1)
% 150.55/150.88      | ~ maps(X1,cross_product(X0,X0),X0)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ little_set(X0) ),
% 150.55/150.88      inference(copy,[status(esa)],[c_400]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2230,plain,
% 150.55/150.88      ( ~ little_set(X0)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | closed(X1,X0)
% 150.55/150.88      | ~ maps(X0,cross_product(X1,X1),X1) ),
% 150.55/150.88      inference(rewriting,[status(thm)],[c_2229]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_396,plain,
% 150.55/150.88      ( member(X0,even_numbers)
% 150.55/150.88      | apply_to_two_arguments(plus,X1,X1) != X0
% 150.55/150.88      | ~ member(X1,natural_numbers)
% 150.55/150.88      | ~ member(X0,natural_numbers) ),
% 150.55/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_939_3) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2221,plain,
% 150.55/150.88      ( member(X0,even_numbers)
% 150.55/150.88      | apply_to_two_arguments(plus,X1,X1) != X0
% 150.55/150.88      | ~ member(X1,natural_numbers)
% 150.55/150.88      | ~ member(X0,natural_numbers) ),
% 150.55/150.88      inference(copy,[status(esa)],[c_396]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2222,plain,
% 150.55/150.88      ( ~ member(X0,natural_numbers)
% 150.55/150.88      | ~ member(X1,natural_numbers)
% 150.55/150.88      | member(X1,even_numbers)
% 150.55/150.88      | apply_to_two_arguments(plus,X0,X0) != X1 ),
% 150.55/150.88      inference(rewriting,[status(thm)],[c_2221]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_392,plain,
% 150.55/150.88      ( member(X0,converse(X1))
% 150.55/150.88      | ~ member(ordered_pair(second(X0),first(X0)),X1)
% 150.55/150.88      | ~ ordered_pair_predicate(X0)
% 150.55/150.88      | ~ little_set(X0) ),
% 150.55/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_940_3) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2213,plain,
% 150.55/150.88      ( member(X0,converse(X1))
% 150.55/150.88      | ~ member(ordered_pair(second(X0),first(X0)),X1)
% 150.55/150.88      | ~ ordered_pair_predicate(X0)
% 150.55/150.88      | ~ little_set(X0) ),
% 150.55/150.88      inference(copy,[status(esa)],[c_392]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2214,plain,
% 150.55/150.88      ( ~ little_set(X0)
% 150.55/150.88      | ~ member(ordered_pair(second(X0),first(X0)),X1)
% 150.55/150.88      | member(X0,converse(X1))
% 150.55/150.88      | ~ ordered_pair_predicate(X0) ),
% 150.55/150.88      inference(rewriting,[status(thm)],[c_2213]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_388,plain,
% 150.55/150.88      ( member(ordered_pair(ordered_pair(empty_set,X0),X0),f49(X1))
% 150.55/150.88      | member(X1,plus)
% 150.55/150.88      | ~ member(X0,natural_numbers)
% 150.55/150.88      | ~ little_set(X1) ),
% 150.55/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_941_3) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2205,plain,
% 150.55/150.88      ( member(ordered_pair(ordered_pair(empty_set,X0),X0),f49(X1))
% 150.55/150.88      | member(X1,plus)
% 150.55/150.88      | ~ member(X0,natural_numbers)
% 150.55/150.88      | ~ little_set(X1) ),
% 150.55/150.88      inference(copy,[status(esa)],[c_388]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2206,plain,
% 150.55/150.88      ( ~ little_set(X0)
% 150.55/150.88      | member(ordered_pair(ordered_pair(empty_set,X1),X1),f49(X0))
% 150.55/150.88      | ~ member(X1,natural_numbers)
% 150.55/150.88      | member(X0,plus) ),
% 150.55/150.88      inference(rewriting,[status(thm)],[c_2205]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_384,plain,
% 150.55/150.88      ( member(ordered_pair(ordered_pair(empty_set,X0),empty_set),f54(X1))
% 150.55/150.88      | member(X1,times)
% 150.55/150.88      | ~ member(X0,natural_numbers)
% 150.55/150.88      | ~ little_set(X1) ),
% 150.55/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_942_3) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2197,plain,
% 150.55/150.88      ( member(ordered_pair(ordered_pair(empty_set,X0),empty_set),f54(X1))
% 150.55/150.88      | member(X1,times)
% 150.55/150.88      | ~ member(X0,natural_numbers)
% 150.55/150.88      | ~ little_set(X1) ),
% 150.55/150.88      inference(copy,[status(esa)],[c_384]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2198,plain,
% 150.55/150.88      ( ~ little_set(X0)
% 150.55/150.88      | member(ordered_pair(ordered_pair(empty_set,X1),empty_set),f54(X0))
% 150.55/150.88      | ~ member(X1,natural_numbers)
% 150.55/150.88      | member(X0,times) ),
% 150.55/150.88      inference(rewriting,[status(thm)],[c_2197]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_381,plain,
% 150.55/150.88      ( X0 = X1 | ~ member(f1(X0,X1),X1) | ~ member(f1(X0,X1),X0) ),
% 150.55/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_943_2) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2191,plain,
% 150.55/150.88      ( X0 = X1 | ~ member(f1(X0,X1),X1) | ~ member(f1(X0,X1),X0) ),
% 150.55/150.88      inference(copy,[status(esa)],[c_381]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2192,plain,
% 150.55/150.88      ( ~ member(f1(X0,X1),X1) | ~ member(f1(X0,X1),X0) | X0 = X1 ),
% 150.55/150.88      inference(rewriting,[status(thm)],[c_2191]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_376,plain,
% 150.55/150.88      ( finite(X0)
% 150.55/150.88      | ~ one_to_one_function(X1)
% 150.55/150.88      | range_of(X1) != X0
% 150.55/150.88      | ~ maps(X1,X2,X0)
% 150.55/150.88      | ~ member(X2,natural_numbers) ),
% 150.55/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_944_4) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2181,plain,
% 150.55/150.88      ( finite(X0)
% 150.55/150.88      | ~ one_to_one_function(X1)
% 150.55/150.88      | range_of(X1) != X0
% 150.55/150.88      | ~ maps(X1,X2,X0)
% 150.55/150.88      | ~ member(X2,natural_numbers) ),
% 150.55/150.88      inference(copy,[status(esa)],[c_376]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2182,plain,
% 150.55/150.88      ( ~ member(X0,natural_numbers)
% 150.55/150.88      | ~ one_to_one_function(X1)
% 150.55/150.88      | finite(X2)
% 150.55/150.88      | ~ maps(X1,X0,X2)
% 150.55/150.88      | range_of(X1) != X2 ),
% 150.55/150.88      inference(rewriting,[status(thm)],[c_2181]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_371,plain,
% 150.55/150.88      ( X0 = successor(empty_set)
% 150.55/150.88      | X0 = empty_set
% 150.55/150.88      | member(X0,prime_numbers)
% 150.55/150.88      | ~ member(f55(X0),non_ordered_pair(successor(empty_set),X0))
% 150.55/150.88      | ~ member(X0,natural_numbers) ),
% 150.55/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_945_4) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2171,plain,
% 150.55/150.88      ( X0 = successor(empty_set)
% 150.55/150.88      | X0 = empty_set
% 150.55/150.88      | member(X0,prime_numbers)
% 150.55/150.88      | ~ member(f55(X0),non_ordered_pair(successor(empty_set),X0))
% 150.55/150.88      | ~ member(X0,natural_numbers) ),
% 150.55/150.88      inference(copy,[status(esa)],[c_371]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2172,plain,
% 150.55/150.88      ( ~ member(f55(X0),non_ordered_pair(successor(empty_set),X0))
% 150.55/150.88      | member(X0,prime_numbers)
% 150.55/150.88      | ~ member(X0,natural_numbers)
% 150.55/150.88      | X0 = empty_set
% 150.55/150.88      | X0 = successor(empty_set) ),
% 150.55/150.88      inference(rewriting,[status(thm)],[c_2171]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_366,plain,
% 150.55/150.88      ( member(X0,X1)
% 150.55/150.88      | member(f53(X0,X1),natural_numbers)
% 150.55/150.88      | member(f50(X0,X1),natural_numbers)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ member(X0,times) ),
% 150.55/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_946_4) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2161,plain,
% 150.55/150.88      ( member(X0,X1)
% 150.55/150.88      | member(f53(X0,X1),natural_numbers)
% 150.55/150.88      | member(f50(X0,X1),natural_numbers)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ member(X0,times) ),
% 150.55/150.88      inference(copy,[status(esa)],[c_366]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2162,plain,
% 150.55/150.88      ( ~ little_set(X0)
% 150.55/150.88      | member(f50(X1,X0),natural_numbers)
% 150.55/150.88      | member(f53(X1,X0),natural_numbers)
% 150.55/150.88      | ~ member(X1,times)
% 150.55/150.88      | member(X1,X0) ),
% 150.55/150.88      inference(rewriting,[status(thm)],[c_2161]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_361,plain,
% 150.55/150.88      ( member(X0,X1)
% 150.55/150.88      | member(f52(X0,X1),natural_numbers)
% 150.55/150.88      | member(f50(X0,X1),natural_numbers)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ member(X0,times) ),
% 150.55/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_947_4) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2151,plain,
% 150.55/150.88      ( member(X0,X1)
% 150.55/150.88      | member(f52(X0,X1),natural_numbers)
% 150.55/150.88      | member(f50(X0,X1),natural_numbers)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ member(X0,times) ),
% 150.55/150.88      inference(copy,[status(esa)],[c_361]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2152,plain,
% 150.55/150.88      ( ~ little_set(X0)
% 150.55/150.88      | member(f50(X1,X0),natural_numbers)
% 150.55/150.88      | member(f52(X1,X0),natural_numbers)
% 150.55/150.88      | ~ member(X1,times)
% 150.55/150.88      | member(X1,X0) ),
% 150.55/150.88      inference(rewriting,[status(thm)],[c_2151]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_356,plain,
% 150.55/150.88      ( member(X0,X1)
% 150.55/150.88      | member(f51(X0,X1),natural_numbers)
% 150.55/150.88      | member(f50(X0,X1),natural_numbers)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ member(X0,times) ),
% 150.55/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_948_4) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2141,plain,
% 150.55/150.88      ( member(X0,X1)
% 150.55/150.88      | member(f51(X0,X1),natural_numbers)
% 150.55/150.88      | member(f50(X0,X1),natural_numbers)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ member(X0,times) ),
% 150.55/150.88      inference(copy,[status(esa)],[c_356]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2142,plain,
% 150.55/150.88      ( ~ little_set(X0)
% 150.55/150.88      | member(f50(X1,X0),natural_numbers)
% 150.55/150.88      | member(f51(X1,X0),natural_numbers)
% 150.55/150.88      | ~ member(X1,times)
% 150.55/150.88      | member(X1,X0) ),
% 150.55/150.88      inference(rewriting,[status(thm)],[c_2141]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_351,plain,
% 150.55/150.88      ( member(X0,X1)
% 150.55/150.88      | member(f48(X0,X1),natural_numbers)
% 150.55/150.88      | member(f45(X0,X1),natural_numbers)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ member(X0,plus) ),
% 150.55/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_949_4) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2131,plain,
% 150.55/150.88      ( member(X0,X1)
% 150.55/150.88      | member(f48(X0,X1),natural_numbers)
% 150.55/150.88      | member(f45(X0,X1),natural_numbers)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ member(X0,plus) ),
% 150.55/150.88      inference(copy,[status(esa)],[c_351]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2132,plain,
% 150.55/150.88      ( ~ little_set(X0)
% 150.55/150.88      | member(f45(X1,X0),natural_numbers)
% 150.55/150.88      | member(f48(X1,X0),natural_numbers)
% 150.55/150.88      | ~ member(X1,plus)
% 150.55/150.88      | member(X1,X0) ),
% 150.55/150.88      inference(rewriting,[status(thm)],[c_2131]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_346,plain,
% 150.55/150.88      ( member(X0,X1)
% 150.55/150.88      | member(f47(X0,X1),natural_numbers)
% 150.55/150.88      | member(f45(X0,X1),natural_numbers)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ member(X0,plus) ),
% 150.55/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_950_4) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2121,plain,
% 150.55/150.88      ( member(X0,X1)
% 150.55/150.88      | member(f47(X0,X1),natural_numbers)
% 150.55/150.88      | member(f45(X0,X1),natural_numbers)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ member(X0,plus) ),
% 150.55/150.88      inference(copy,[status(esa)],[c_346]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2122,plain,
% 150.55/150.88      ( ~ little_set(X0)
% 150.55/150.88      | member(f45(X1,X0),natural_numbers)
% 150.55/150.88      | member(f47(X1,X0),natural_numbers)
% 150.55/150.88      | ~ member(X1,plus)
% 150.55/150.88      | member(X1,X0) ),
% 150.55/150.88      inference(rewriting,[status(thm)],[c_2121]) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_341,plain,
% 150.55/150.88      ( member(X0,X1)
% 150.55/150.88      | member(f46(X0,X1),natural_numbers)
% 150.55/150.88      | member(f45(X0,X1),natural_numbers)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ member(X0,plus) ),
% 150.55/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_951_4) ).
% 150.55/150.88  
% 150.55/150.88  cnf(c_2111,plain,
% 150.55/150.88      ( member(X0,X1)
% 150.55/150.88      | member(f46(X0,X1),natural_numbers)
% 150.55/150.88      | member(f45(X0,X1),natural_numbers)
% 150.55/150.88      | ~ little_set(X1)
% 150.55/150.88      | ~ member(X0,plus) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_341]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2112,plain,
% 150.65/150.88      ( ~ little_set(X0)
% 150.65/150.88      | member(f45(X1,X0),natural_numbers)
% 150.65/150.88      | member(f46(X1,X0),natural_numbers)
% 150.65/150.88      | ~ member(X1,plus)
% 150.65/150.88      | member(X1,X0) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_2111]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_336,plain,
% 150.65/150.88      ( member(X0,cross_product(X1,X2))
% 150.65/150.88      | ~ member(second(X0),X2)
% 150.65/150.88      | ~ member(first(X0),X1)
% 150.65/150.88      | ~ ordered_pair_predicate(X0)
% 150.65/150.88      | ~ little_set(X0) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_952_4) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2101,plain,
% 150.65/150.88      ( member(X0,cross_product(X1,X2))
% 150.65/150.88      | ~ member(second(X0),X2)
% 150.65/150.88      | ~ member(first(X0),X1)
% 150.65/150.88      | ~ ordered_pair_predicate(X0)
% 150.65/150.88      | ~ little_set(X0) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_336]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2102,plain,
% 150.65/150.88      ( ~ little_set(X0)
% 150.65/150.88      | ~ member(second(X0),X1)
% 150.65/150.88      | ~ member(first(X0),X2)
% 150.65/150.88      | member(X0,cross_product(X2,X1))
% 150.65/150.88      | ~ ordered_pair_predicate(X0) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_2101]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_330,plain,
% 150.65/150.88      ( member(X0,image(X1,X2))
% 150.65/150.88      | second(X3) != X0
% 150.65/150.88      | ~ member(first(X3),X1)
% 150.65/150.88      | ~ member(X3,X2)
% 150.65/150.88      | ~ ordered_pair_predicate(X3)
% 150.65/150.88      | ~ little_set(X0) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_953_5) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2089,plain,
% 150.65/150.88      ( member(X0,image(X1,X2))
% 150.65/150.88      | second(X3) != X0
% 150.65/150.88      | ~ member(first(X3),X1)
% 150.65/150.88      | ~ member(X3,X2)
% 150.65/150.88      | ~ ordered_pair_predicate(X3)
% 150.65/150.88      | ~ little_set(X0) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_330]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2090,plain,
% 150.65/150.88      ( ~ little_set(X0)
% 150.65/150.88      | ~ member(first(X1),X2)
% 150.65/150.88      | member(X0,image(X2,X3))
% 150.65/150.88      | ~ member(X1,X3)
% 150.65/150.88      | ~ ordered_pair_predicate(X1)
% 150.65/150.88      | second(X1) != X0 ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_2089]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_325,plain,
% 150.65/150.88      ( member(X0,apply(X1,X2))
% 150.65/150.88      | ~ member(X0,second(X3))
% 150.65/150.88      | first(X3) != X2
% 150.65/150.88      | ~ member(X3,X1)
% 150.65/150.88      | ~ ordered_pair_predicate(X3) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_954_4) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2079,plain,
% 150.65/150.88      ( member(X0,apply(X1,X2))
% 150.65/150.88      | ~ member(X0,second(X3))
% 150.65/150.88      | first(X3) != X2
% 150.65/150.88      | ~ member(X3,X1)
% 150.65/150.88      | ~ ordered_pair_predicate(X3) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_325]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2080,plain,
% 150.65/150.88      ( member(X0,apply(X1,X2))
% 150.65/150.88      | ~ member(X0,second(X3))
% 150.65/150.88      | ~ member(X3,X1)
% 150.65/150.88      | ~ ordered_pair_predicate(X3)
% 150.65/150.88      | first(X3) != X2 ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_2079]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_318,plain,
% 150.65/150.88      ( apply_to_two_arguments(times,f55(X0),f56(X0)) = X0
% 150.65/150.88      | X0 = successor(empty_set)
% 150.65/150.88      | X0 = empty_set
% 150.65/150.88      | member(X0,prime_numbers)
% 150.65/150.88      | ~ member(X0,natural_numbers) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_956_4) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2065,plain,
% 150.65/150.88      ( apply_to_two_arguments(times,f55(X0),f56(X0)) = X0
% 150.65/150.88      | X0 = successor(empty_set)
% 150.65/150.88      | X0 = empty_set
% 150.65/150.88      | member(X0,prime_numbers)
% 150.65/150.88      | ~ member(X0,natural_numbers) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_318]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2066,plain,
% 150.65/150.88      ( member(X0,prime_numbers)
% 150.65/150.88      | ~ member(X0,natural_numbers)
% 150.65/150.88      | apply_to_two_arguments(times,f55(X0),f56(X0)) = X0
% 150.65/150.88      | X0 = empty_set
% 150.65/150.88      | X0 = successor(empty_set) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_2065]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_309,plain,
% 150.65/150.88      ( member(X0,X1)
% 150.65/150.88      | member(f43(X0,X1),X1)
% 150.65/150.88      | ~ member(empty_set,X1)
% 150.65/150.88      | ~ little_set(X1)
% 150.65/150.88      | ~ member(X0,natural_numbers) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_959_4) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2047,plain,
% 150.65/150.88      ( member(X0,X1)
% 150.65/150.88      | member(f43(X0,X1),X1)
% 150.65/150.88      | ~ member(empty_set,X1)
% 150.65/150.88      | ~ little_set(X1)
% 150.65/150.88      | ~ member(X0,natural_numbers) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_309]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2048,plain,
% 150.65/150.88      ( ~ little_set(X0)
% 150.65/150.88      | ~ member(empty_set,X0)
% 150.65/150.88      | member(f43(X1,X0),X0)
% 150.65/150.88      | ~ member(X1,natural_numbers)
% 150.65/150.88      | member(X1,X0) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_2047]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_305,plain,
% 150.65/150.88      ( maps(X0,X1,X2)
% 150.65/150.88      | ~ subset(range_of(X0),X2)
% 150.65/150.88      | domain_of(X0) != X1
% 150.65/150.88      | ~ function(X0) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_960_3) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2039,plain,
% 150.65/150.88      ( maps(X0,X1,X2)
% 150.65/150.88      | ~ subset(range_of(X0),X2)
% 150.65/150.88      | domain_of(X0) != X1
% 150.65/150.88      | ~ function(X0) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_305]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2040,plain,
% 150.65/150.88      ( ~ function(X0)
% 150.65/150.88      | ~ subset(range_of(X0),X1)
% 150.65/150.88      | maps(X0,X2,X1)
% 150.65/150.88      | domain_of(X0) != X2 ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_2039]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_289,plain,
% 150.65/150.88      ( ~ member(X0,X1) | member(X0,intersection(X1,X2)) | ~ member(X0,X2) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_969_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2007,plain,
% 150.65/150.88      ( ~ member(X0,X1) | member(X0,intersection(X1,X2)) | ~ member(X0,X2) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_289]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2008,plain,
% 150.65/150.88      ( member(X0,intersection(X1,X2)) | ~ member(X0,X1) | ~ member(X0,X2) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_2007]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_281,plain,
% 150.65/150.88      ( X0 = X1 | member(f1(X0,X1),X1) | member(f1(X0,X1),X0) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_972_2) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1991,plain,
% 150.65/150.88      ( X0 = X1 | member(f1(X0,X1),X1) | member(f1(X0,X1),X0) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_281]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1992,plain,
% 150.65/150.88      ( member(f1(X0,X1),X1) | member(f1(X0,X1),X0) | X0 = X1 ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1991]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_278,plain,
% 150.65/150.88      ( member(X0,twin_prime_numbers)
% 150.65/150.88      | ~ member(successor(successor(X0)),prime_numbers)
% 150.65/150.88      | ~ member(X0,prime_numbers) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_973_2) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1985,plain,
% 150.65/150.88      ( member(X0,twin_prime_numbers)
% 150.65/150.88      | ~ member(successor(successor(X0)),prime_numbers)
% 150.65/150.88      | ~ member(X0,prime_numbers) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_278]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1986,plain,
% 150.65/150.88      ( ~ member(successor(successor(X0)),prime_numbers)
% 150.65/150.88      | ~ member(X0,prime_numbers)
% 150.65/150.88      | member(X0,twin_prime_numbers) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1985]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_273,plain,
% 150.65/150.88      ( member(X0,second(X1))
% 150.65/150.88      | ~ member(X0,X2)
% 150.65/150.88      | X1 != ordered_pair(X3,X2)
% 150.65/150.88      | ~ little_set(X2)
% 150.65/150.88      | ~ little_set(X3) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_974_4) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1975,plain,
% 150.65/150.88      ( member(X0,second(X1))
% 150.65/150.88      | ~ member(X0,X2)
% 150.65/150.88      | X1 != ordered_pair(X3,X2)
% 150.65/150.88      | ~ little_set(X2)
% 150.65/150.88      | ~ little_set(X3) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_273]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1976,plain,
% 150.65/150.88      ( ~ little_set(X0)
% 150.65/150.88      | ~ little_set(X1)
% 150.65/150.88      | member(X2,second(X3))
% 150.65/150.88      | ~ member(X2,X0)
% 150.65/150.88      | X3 != ordered_pair(X1,X0) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1975]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_268,plain,
% 150.65/150.88      ( member(X0,first(X1))
% 150.65/150.88      | ~ member(X0,X2)
% 150.65/150.88      | X1 != ordered_pair(X2,X3)
% 150.65/150.88      | ~ little_set(X3)
% 150.65/150.88      | ~ little_set(X2) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_975_4) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1965,plain,
% 150.65/150.88      ( member(X0,first(X1))
% 150.65/150.88      | ~ member(X0,X2)
% 150.65/150.88      | X1 != ordered_pair(X2,X3)
% 150.65/150.88      | ~ little_set(X3)
% 150.65/150.88      | ~ little_set(X2) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_268]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1966,plain,
% 150.65/150.88      ( ~ little_set(X0)
% 150.65/150.88      | ~ little_set(X1)
% 150.65/150.88      | member(X2,first(X3))
% 150.65/150.88      | ~ member(X2,X1)
% 150.65/150.88      | X3 != ordered_pair(X1,X0) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1965]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_236,plain,
% 150.65/150.88      ( member(X0,estin)
% 150.65/150.88      | ~ member(first(X0),second(X0))
% 150.65/150.88      | ~ ordered_pair_predicate(X0)
% 150.65/150.88      | ~ little_set(X0) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_989_3) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1901,plain,
% 150.65/150.88      ( member(X0,estin)
% 150.65/150.88      | ~ member(first(X0),second(X0))
% 150.65/150.88      | ~ ordered_pair_predicate(X0)
% 150.65/150.88      | ~ little_set(X0) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_236]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1902,plain,
% 150.65/150.88      ( ~ little_set(X0)
% 150.65/150.88      | ~ member(first(X0),second(X0))
% 150.65/150.88      | member(X0,estin)
% 150.65/150.88      | ~ ordered_pair_predicate(X0) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1901]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_235,plain,
% 150.65/150.88      ( ~ disjoint(X0,X1) | ~ member(X2,X0) | ~ member(X2,X1) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_991_0) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1899,plain,
% 150.65/150.88      ( ~ disjoint(X0,X1) | ~ member(X2,X0) | ~ member(X2,X1) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_235]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1900,plain,
% 150.65/150.88      ( ~ member(X0,X1) | ~ member(X0,X2) | ~ disjoint(X1,X2) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1899]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_223,plain,
% 150.65/150.88      ( member(X0,range_of(X1))
% 150.65/150.88      | X0 != second(X2)
% 150.65/150.88      | ~ member(X2,X1)
% 150.65/150.88      | ~ ordered_pair_predicate(X2)
% 150.65/150.88      | ~ little_set(X0) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_994_4) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1875,plain,
% 150.65/150.88      ( member(X0,range_of(X1))
% 150.65/150.88      | X0 != second(X2)
% 150.65/150.88      | ~ member(X2,X1)
% 150.65/150.88      | ~ ordered_pair_predicate(X2)
% 150.65/150.88      | ~ little_set(X0) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_223]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1876,plain,
% 150.65/150.88      ( ~ little_set(X0)
% 150.65/150.88      | member(X0,range_of(X1))
% 150.65/150.88      | ~ member(X2,X1)
% 150.65/150.88      | ~ ordered_pair_predicate(X2)
% 150.65/150.88      | X0 != second(X2) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1875]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_221,plain,
% 150.65/150.88      ( ~ member(X0,X1) | member(X2,sigma(X1)) | ~ member(X2,X0) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_995_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1871,plain,
% 150.65/150.88      ( ~ member(X0,X1) | member(X2,sigma(X1)) | ~ member(X2,X0) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_221]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1872,plain,
% 150.65/150.88      ( member(X0,sigma(X1)) | ~ member(X2,X1) | ~ member(X0,X2) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1871]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_215,plain,
% 150.65/150.88      ( member(X0,domain_of(X1))
% 150.65/150.88      | X0 != first(X2)
% 150.65/150.88      | ~ member(X2,X1)
% 150.65/150.88      | ~ ordered_pair_predicate(X2)
% 150.65/150.88      | ~ little_set(X0) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_996_4) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1859,plain,
% 150.65/150.88      ( member(X0,domain_of(X1))
% 150.65/150.88      | X0 != first(X2)
% 150.65/150.88      | ~ member(X2,X1)
% 150.65/150.88      | ~ ordered_pair_predicate(X2)
% 150.65/150.88      | ~ little_set(X0) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_215]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1860,plain,
% 150.65/150.88      ( ~ little_set(X0)
% 150.65/150.88      | member(X0,domain_of(X1))
% 150.65/150.88      | ~ member(X2,X1)
% 150.65/150.88      | ~ ordered_pair_predicate(X2)
% 150.65/150.88      | X0 != first(X2) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1859]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_186,plain,
% 150.65/150.88      ( ~ subset(X0,X1) | ~ member(X2,X0) | member(X2,X1) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1012_0) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1801,plain,
% 150.65/150.88      ( ~ subset(X0,X1) | ~ member(X2,X0) | member(X2,X1) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_186]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1802,plain,
% 150.65/150.88      ( ~ member(X0,X1) | member(X0,X2) | ~ subset(X1,X2) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1801]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_176,plain,
% 150.65/150.88      ( member(f56(X0),natural_numbers)
% 150.65/150.88      | X0 = successor(empty_set)
% 150.65/150.88      | X0 = empty_set
% 150.65/150.88      | member(X0,prime_numbers)
% 150.65/150.88      | ~ member(X0,natural_numbers) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1014_4) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1781,plain,
% 150.65/150.88      ( member(f56(X0),natural_numbers)
% 150.65/150.88      | X0 = successor(empty_set)
% 150.65/150.88      | X0 = empty_set
% 150.65/150.88      | member(X0,prime_numbers)
% 150.65/150.88      | ~ member(X0,natural_numbers) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_176]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1782,plain,
% 150.65/150.88      ( member(f56(X0),natural_numbers)
% 150.65/150.88      | member(X0,prime_numbers)
% 150.65/150.88      | ~ member(X0,natural_numbers)
% 150.65/150.88      | X0 = empty_set
% 150.65/150.88      | X0 = successor(empty_set) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1781]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_171,plain,
% 150.65/150.88      ( member(f55(X0),natural_numbers)
% 150.65/150.88      | X0 = successor(empty_set)
% 150.65/150.88      | X0 = empty_set
% 150.65/150.88      | member(X0,prime_numbers)
% 150.65/150.88      | ~ member(X0,natural_numbers) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1015_4) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1771,plain,
% 150.65/150.88      ( member(f55(X0),natural_numbers)
% 150.65/150.88      | X0 = successor(empty_set)
% 150.65/150.88      | X0 = empty_set
% 150.65/150.88      | member(X0,prime_numbers)
% 150.65/150.88      | ~ member(X0,natural_numbers) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_171]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1772,plain,
% 150.65/150.88      ( member(f55(X0),natural_numbers)
% 150.65/150.88      | member(X0,prime_numbers)
% 150.65/150.88      | ~ member(X0,natural_numbers)
% 150.65/150.88      | X0 = empty_set
% 150.65/150.88      | X0 = successor(empty_set) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1771]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_129,plain,
% 150.65/150.88      ( little_set(image(X0,X1)) | ~ function(X1) | ~ little_set(X0) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1035_2) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1687,plain,
% 150.65/150.88      ( little_set(image(X0,X1)) | ~ function(X1) | ~ little_set(X0) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_129]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1688,plain,
% 150.65/150.88      ( little_set(image(X0,X1)) | ~ little_set(X0) | ~ function(X1) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1687]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_125,plain,
% 150.65/150.88      ( ordered_pair_predicate(X0)
% 150.65/150.88      | X0 != ordered_pair(X1,X2)
% 150.65/150.88      | ~ little_set(X2)
% 150.65/150.88      | ~ little_set(X1) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1036_3) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1679,plain,
% 150.65/150.88      ( ordered_pair_predicate(X0)
% 150.65/150.88      | X0 != ordered_pair(X1,X2)
% 150.65/150.88      | ~ little_set(X2)
% 150.65/150.88      | ~ little_set(X1) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_125]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1680,plain,
% 150.65/150.88      ( ~ little_set(X0)
% 150.65/150.88      | ~ little_set(X1)
% 150.65/150.88      | ordered_pair_predicate(X2)
% 150.65/150.88      | X2 != ordered_pair(X1,X0) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1679]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_118,plain,
% 150.65/150.88      ( member(X0,identity_relation)
% 150.65/150.88      | second(X0) != first(X0)
% 150.65/150.88      | ~ ordered_pair_predicate(X0)
% 150.65/150.88      | ~ little_set(X0) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1038_3) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1665,plain,
% 150.65/150.88      ( member(X0,identity_relation)
% 150.65/150.88      | second(X0) != first(X0)
% 150.65/150.88      | ~ ordered_pair_predicate(X0)
% 150.65/150.88      | ~ little_set(X0) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_118]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1666,plain,
% 150.65/150.88      ( ~ little_set(X0)
% 150.65/150.88      | member(X0,identity_relation)
% 150.65/150.88      | ~ ordered_pair_predicate(X0)
% 150.65/150.88      | second(X0) != first(X0) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1665]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_115,plain,
% 150.65/150.88      ( X0 = X1 | proper_subset(X0,X1) | ~ subset(X0,X1) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1039_2) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1659,plain,
% 150.65/150.88      ( X0 = X1 | proper_subset(X0,X1) | ~ subset(X0,X1) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_115]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1660,plain,
% 150.65/150.88      ( proper_subset(X0,X1) | ~ subset(X0,X1) | X0 = X1 ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1659]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_95,plain,
% 150.65/150.88      ( ordered_pair_predicate(X0) | ~ member(X0,X1) | ~ relation(X1) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1048_2) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1619,plain,
% 150.65/150.88      ( ordered_pair_predicate(X0) | ~ member(X0,X1) | ~ relation(X1) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_95]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1620,plain,
% 150.65/150.88      ( ~ member(X0,X1) | ~ relation(X1) | ordered_pair_predicate(X0) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1619]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_84,plain,
% 150.65/150.88      ( little_set(f54(X0)) | member(X0,times) | ~ little_set(X0) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1053_2) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1597,plain,
% 150.65/150.88      ( little_set(f54(X0)) | member(X0,times) | ~ little_set(X0) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_84]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1598,plain,
% 150.65/150.88      ( little_set(f54(X0)) | ~ little_set(X0) | member(X0,times) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1597]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_81,plain,
% 150.65/150.88      ( little_set(f49(X0)) | member(X0,plus) | ~ little_set(X0) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1054_2) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1591,plain,
% 150.65/150.88      ( little_set(f49(X0)) | member(X0,plus) | ~ little_set(X0) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_81]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1592,plain,
% 150.65/150.88      ( little_set(f49(X0)) | ~ little_set(X0) | member(X0,plus) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1591]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_78,plain,
% 150.65/150.88      ( little_set(f44(X0)) | member(X0,natural_numbers) | ~ little_set(X0) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1055_2) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1585,plain,
% 150.65/150.88      ( little_set(f44(X0)) | member(X0,natural_numbers) | ~ little_set(X0) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_78]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1586,plain,
% 150.65/150.88      ( little_set(f44(X0)) | ~ little_set(X0) | member(X0,natural_numbers) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1585]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_70,plain,
% 150.65/150.88      ( one_to_one_function(X0) | ~ function(converse(X0)) | ~ function(X0) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1059_2) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1569,plain,
% 150.65/150.88      ( one_to_one_function(X0) | ~ function(converse(X0)) | ~ function(X0) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_70]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1570,plain,
% 150.65/150.88      ( ~ function(converse(X0)) | ~ function(X0) | one_to_one_function(X0) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1569]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_39,plain,
% 150.65/150.88      ( function(X0) | ~ single_valued_set(X0) | ~ relation(X0) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1076_2) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1507,plain,
% 150.65/150.88      ( function(X0) | ~ single_valued_set(X0) | ~ relation(X0) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_39]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_1508,plain,
% 150.65/150.88      ( function(X0) | ~ relation(X0) | ~ single_valued_set(X0) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_1507]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_636,negated_conjecture,
% 150.65/150.88      ( ~ little_set(natural_numbers) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_4) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_791,negated_conjecture,
% 150.65/150.88      ( ~ little_set(natural_numbers) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_636]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_795,negated_conjecture,
% 150.65/150.88      ( ~ little_set(natural_numbers) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_791]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_796,negated_conjecture,
% 150.65/150.88      ( ~ little_set(natural_numbers) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_795]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_797,negated_conjecture,
% 150.65/150.88      ( ~ little_set(natural_numbers) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_796]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2701,negated_conjecture,
% 150.65/150.88      ( ~ little_set(natural_numbers) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_797]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_632,plain,
% 150.65/150.88      ( ~ closed(X0,X1)
% 150.65/150.88      | homomorphism(X2,X0,X1,X3,X4)
% 150.65/150.88      | apply(X2,apply_to_two_arguments(X1,f32(X2,X0,X1,X3,X4),f33(X2,X0,X1,X3,X4))) != apply_to_two_arguments(X4,apply(X2,f32(X2,X0,X1,X3,X4)),apply(X2,f33(X2,X0,X1,X3,X4)))
% 150.65/150.88      | ~ maps(X2,X0,X3)
% 150.65/150.88      | ~ closed(X3,X4) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_876_3) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2693,plain,
% 150.65/150.88      ( ~ closed(X0,X1)
% 150.65/150.88      | homomorphism(X2,X0,X1,X3,X4)
% 150.65/150.88      | apply(X2,apply_to_two_arguments(X1,f32(X2,X0,X1,X3,X4),f33(X2,X0,X1,X3,X4))) != apply_to_two_arguments(X4,apply(X2,f32(X2,X0,X1,X3,X4)),apply(X2,f33(X2,X0,X1,X3,X4)))
% 150.65/150.88      | ~ maps(X2,X0,X3)
% 150.65/150.88      | ~ closed(X3,X4) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_632]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2694,plain,
% 150.65/150.88      ( ~ closed(X0,X1)
% 150.65/150.88      | ~ closed(X2,X3)
% 150.65/150.88      | ~ maps(X4,X0,X2)
% 150.65/150.88      | homomorphism(X4,X0,X1,X2,X3)
% 150.65/150.88      | apply(X4,apply_to_two_arguments(X1,f32(X4,X0,X1,X2,X3),f33(X4,X0,X1,X2,X3))) != apply_to_two_arguments(X3,apply(X4,f32(X4,X0,X1,X2,X3)),apply(X4,f33(X4,X0,X1,X2,X3))) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_2693]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_611,plain,
% 150.65/150.88      ( maps(X0,X1,X2) | ~ homomorphism(X0,X1,X3,X2,X4) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_881_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2651,plain,
% 150.65/150.88      ( maps(X0,X1,X2) | ~ homomorphism(X0,X1,X3,X2,X4) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_611]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_609,plain,
% 150.65/150.88      ( closed(X0,X1) | ~ homomorphism(X2,X3,X4,X0,X1) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_882_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2647,plain,
% 150.65/150.88      ( closed(X0,X1) | ~ homomorphism(X2,X3,X4,X0,X1) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_609]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_607,plain,
% 150.65/150.88      ( closed(X0,X1) | ~ homomorphism(X2,X0,X1,X3,X4) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_883_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2643,plain,
% 150.65/150.88      ( closed(X0,X1) | ~ homomorphism(X2,X0,X1,X3,X4) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_607]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_585,plain,
% 150.65/150.88      ( associative(X0,X1)
% 150.65/150.88      | apply_to_two_arguments(X1,apply_to_two_arguments(X1,f34(X0,X1),f35(X0,X1)),f36(X0,X1)) != apply_to_two_arguments(X1,f34(X0,X1),apply_to_two_arguments(X1,f35(X0,X1),f36(X0,X1))) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_888_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2599,plain,
% 150.65/150.88      ( associative(X0,X1)
% 150.65/150.88      | apply_to_two_arguments(X1,apply_to_two_arguments(X1,f34(X0,X1),f35(X0,X1)),f36(X0,X1)) != apply_to_two_arguments(X1,f34(X0,X1),apply_to_two_arguments(X1,f35(X0,X1),f36(X0,X1))) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_585]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_573,plain,
% 150.65/150.88      ( identity(X0,X1,X2)
% 150.65/150.88      | apply_to_two_arguments(X1,f37(X0,X1,X2),X2) != f37(X0,X1,X2)
% 150.65/150.88      | apply_to_two_arguments(X1,X2,f37(X0,X1,X2)) != f37(X0,X1,X2)
% 150.65/150.88      | ~ member(X2,X0) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_891_3) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2575,plain,
% 150.65/150.88      ( identity(X0,X1,X2)
% 150.65/150.88      | apply_to_two_arguments(X1,f37(X0,X1,X2),X2) != f37(X0,X1,X2)
% 150.65/150.88      | apply_to_two_arguments(X1,X2,f37(X0,X1,X2)) != f37(X0,X1,X2)
% 150.65/150.88      | ~ member(X2,X0) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_573]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2576,plain,
% 150.65/150.88      ( ~ member(X0,X1)
% 150.65/150.88      | identity(X1,X2,X0)
% 150.65/150.88      | apply_to_two_arguments(X2,f37(X1,X2,X0),X0) != f37(X1,X2,X0)
% 150.65/150.88      | apply_to_two_arguments(X2,X0,f37(X1,X2,X0)) != f37(X1,X2,X0) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_2575]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_554,plain,
% 150.65/150.88      ( member(ordered_pair(f31(X0,X1,X2),f30(X0,X1,X2)),X2)
% 150.65/150.88      | ~ member(X0,compose(X1,X2)) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_895_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2537,plain,
% 150.65/150.88      ( member(ordered_pair(f31(X0,X1,X2),f30(X0,X1,X2)),X2)
% 150.65/150.88      | ~ member(X0,compose(X1,X2)) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_554]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_552,plain,
% 150.65/150.88      ( member(ordered_pair(f29(X0,X1,X2),f31(X0,X1,X2)),X1)
% 150.65/150.88      | ~ member(X0,compose(X1,X2)) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_896_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2533,plain,
% 150.65/150.88      ( member(ordered_pair(f29(X0,X1,X2),f31(X0,X1,X2)),X1)
% 150.65/150.88      | ~ member(X0,compose(X1,X2)) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_552]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_529,plain,
% 150.65/150.88      ( maps(X0,X1,X1) | ~ inverse(X1,X2,X3,X0) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_902_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2487,plain,
% 150.65/150.88      ( maps(X0,X1,X1) | ~ inverse(X1,X2,X3,X0) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_529]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_512,plain,
% 150.65/150.88      ( member(ordered_pair(f12(X0,X1),ordered_pair(f14(X0,X1),f13(X0,X1))),X1)
% 150.65/150.88      | ~ member(X0,flip_range_of(X1)) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_906_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2453,plain,
% 150.65/150.88      ( member(ordered_pair(f12(X0,X1),ordered_pair(f14(X0,X1),f13(X0,X1))),X1)
% 150.65/150.88      | ~ member(X0,flip_range_of(X1)) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_512]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_510,plain,
% 150.65/150.88      ( member(ordered_pair(f10(X0,X1),ordered_pair(f11(X0,X1),f9(X0,X1))),X1)
% 150.65/150.88      | ~ member(X0,rotate_right(X1)) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_907_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2449,plain,
% 150.65/150.88      ( member(ordered_pair(f10(X0,X1),ordered_pair(f11(X0,X1),f9(X0,X1))),X1)
% 150.65/150.88      | ~ member(X0,rotate_right(X1)) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_510]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_486,plain,
% 150.65/150.88      ( commutes(X0,X1)
% 150.65/150.88      | apply_to_two_arguments(X1,f42(X0,X1),f41(X0,X1)) != apply_to_two_arguments(X1,f41(X0,X1),f42(X0,X1)) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_912_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2401,plain,
% 150.65/150.88      ( commutes(X0,X1)
% 150.65/150.88      | apply_to_two_arguments(X1,f42(X0,X1),f41(X0,X1)) != apply_to_two_arguments(X1,f41(X0,X1),f42(X0,X1)) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_486]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_484,plain,
% 150.65/150.88      ( inverse(X0,X1,f39(X0,X1),f40(X0,X1)) | ~ group(X0,X1) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_913_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2397,plain,
% 150.65/150.88      ( inverse(X0,X1,f39(X0,X1),f40(X0,X1)) | ~ group(X0,X1) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_484]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2398,plain,
% 150.65/150.88      ( ~ group(X0,X1) | inverse(X0,X1,f39(X0,X1),f40(X0,X1)) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_2397]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_482,plain,
% 150.65/150.88      ( member(X0,second(f28(X0,X1,X2))) | ~ member(X0,apply(X1,X2)) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_914_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2393,plain,
% 150.65/150.88      ( member(X0,second(f28(X0,X1,X2))) | ~ member(X0,apply(X1,X2)) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_482]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2394,plain,
% 150.65/150.88      ( ~ member(X0,apply(X1,X2)) | member(X0,second(f28(X0,X1,X2))) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_2393]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_480,plain,
% 150.65/150.88      ( member(first(f22(X0,X1,X2)),X1) | ~ member(X0,image(X1,X2)) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_915_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2389,plain,
% 150.65/150.88      ( member(first(f22(X0,X1,X2)),X1) | ~ member(X0,image(X1,X2)) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_480]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_478,plain,
% 150.65/150.88      ( ordered_pair(f29(X0,X1,X2),f30(X0,X1,X2)) = X0
% 150.65/150.88      | ~ member(X0,compose(X1,X2)) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_916_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2385,plain,
% 150.65/150.88      ( ordered_pair(f29(X0,X1,X2),f30(X0,X1,X2)) = X0
% 150.65/150.88      | ~ member(X0,compose(X1,X2)) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_478]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2386,plain,
% 150.65/150.88      ( ~ member(X0,compose(X1,X2))
% 150.65/150.88      | ordered_pair(f29(X0,X1,X2),f30(X0,X1,X2)) = X0 ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_2385]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_454,plain,
% 150.65/150.88      ( ordered_pair(f12(X0,X1),ordered_pair(f13(X0,X1),f14(X0,X1))) = X0
% 150.65/150.88      | ~ member(X0,flip_range_of(X1)) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_920_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2337,plain,
% 150.65/150.88      ( ordered_pair(f12(X0,X1),ordered_pair(f13(X0,X1),f14(X0,X1))) = X0
% 150.65/150.88      | ~ member(X0,flip_range_of(X1)) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_454]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2338,plain,
% 150.65/150.88      ( ~ member(X0,flip_range_of(X1))
% 150.65/150.88      | ordered_pair(f12(X0,X1),ordered_pair(f13(X0,X1),f14(X0,X1))) = X0 ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_2337]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_452,plain,
% 150.65/150.88      ( ordered_pair(f9(X0,X1),ordered_pair(f10(X0,X1),f11(X0,X1))) = X0
% 150.65/150.88      | ~ member(X0,rotate_right(X1)) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_921_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2333,plain,
% 150.65/150.88      ( ordered_pair(f9(X0,X1),ordered_pair(f10(X0,X1),f11(X0,X1))) = X0
% 150.65/150.88      | ~ member(X0,rotate_right(X1)) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_452]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2334,plain,
% 150.65/150.88      ( ~ member(X0,rotate_right(X1))
% 150.65/150.88      | ordered_pair(f9(X0,X1),ordered_pair(f10(X0,X1),f11(X0,X1))) = X0 ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_2333]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_442,plain,
% 150.65/150.88      ( member(f28(X0,X1,X2),X1) | ~ member(X0,apply(X1,X2)) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_924_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2313,plain,
% 150.65/150.88      ( member(f28(X0,X1,X2),X1) | ~ member(X0,apply(X1,X2)) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_442]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_440,plain,
% 150.65/150.88      ( member(f22(X0,X1,X2),X2) | ~ member(X0,image(X1,X2)) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_925_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2309,plain,
% 150.65/150.88      ( member(f22(X0,X1,X2),X2) | ~ member(X0,image(X1,X2)) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_440]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_429,plain,
% 150.65/150.88      ( first(f28(X0,X1,X2)) = X2 | ~ member(X0,apply(X1,X2)) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_928_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2287,plain,
% 150.65/150.88      ( first(f28(X0,X1,X2)) = X2 | ~ member(X0,apply(X1,X2)) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_429]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2288,plain,
% 150.65/150.88      ( ~ member(X0,apply(X1,X2)) | first(f28(X0,X1,X2)) = X2 ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_2287]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_427,plain,
% 150.65/150.88      ( second(f22(X0,X1,X2)) = X0 | ~ member(X0,image(X1,X2)) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_929_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2283,plain,
% 150.65/150.88      ( second(f22(X0,X1,X2)) = X0 | ~ member(X0,image(X1,X2)) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_427]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2284,plain,
% 150.65/150.88      ( ~ member(X0,image(X1,X2)) | second(f22(X0,X1,X2)) = X0 ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_2283]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_425,plain,
% 150.65/150.88      ( little_set(f31(X0,X1,X2)) | ~ member(X0,compose(X1,X2)) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_930_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2279,plain,
% 150.65/150.88      ( little_set(f31(X0,X1,X2)) | ~ member(X0,compose(X1,X2)) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_425]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_423,plain,
% 150.65/150.88      ( little_set(f30(X0,X1,X2)) | ~ member(X0,compose(X1,X2)) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_931_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2275,plain,
% 150.65/150.88      ( little_set(f30(X0,X1,X2)) | ~ member(X0,compose(X1,X2)) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_423]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_421,plain,
% 150.65/150.88      ( little_set(f29(X0,X1,X2)) | ~ member(X0,compose(X1,X2)) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_932_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2271,plain,
% 150.65/150.88      ( little_set(f29(X0,X1,X2)) | ~ member(X0,compose(X1,X2)) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_421]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_419,plain,
% 150.65/150.88      ( ordered_pair_predicate(f28(X0,X1,X2)) | ~ member(X0,apply(X1,X2)) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_933_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2267,plain,
% 150.65/150.88      ( ordered_pair_predicate(f28(X0,X1,X2)) | ~ member(X0,apply(X1,X2)) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_419]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2268,plain,
% 150.65/150.88      ( ~ member(X0,apply(X1,X2)) | ordered_pair_predicate(f28(X0,X1,X2)) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_2267]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_417,plain,
% 150.65/150.88      ( ordered_pair_predicate(f22(X0,X1,X2)) | ~ member(X0,image(X1,X2)) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_934_1) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2263,plain,
% 150.65/150.88      ( ordered_pair_predicate(f22(X0,X1,X2)) | ~ member(X0,image(X1,X2)) ),
% 150.65/150.88      inference(copy,[status(esa)],[c_417]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2264,plain,
% 150.65/150.88      ( ~ member(X0,image(X1,X2)) | ordered_pair_predicate(f22(X0,X1,X2)) ),
% 150.65/150.88      inference(rewriting,[status(thm)],[c_2263]) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_401,plain,
% 150.65/150.88      ( ~ little_set(X0)
% 150.65/150.88      | closed(X0,X1)
% 150.65/150.88      | ~ maps(X1,cross_product(X0,X0),X0)
% 150.65/150.88      | ~ little_set(X1) ),
% 150.65/150.88      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_938_2) ).
% 150.65/150.88  
% 150.65/150.88  cnf(c_2231,plain,
% 150.65/150.88      ( ~ little_set(X0)
% 150.65/150.88      | closed(X0,X1)
% 150.65/150.89      | ~ maps(X1,cross_product(X0,X0),X0)
% 150.65/150.89      | ~ little_set(X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_401]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2232,plain,
% 150.65/150.89      ( ~ little_set(X0)
% 150.65/150.89      | ~ little_set(X1)
% 150.65/150.89      | closed(X0,X1)
% 150.65/150.89      | ~ maps(X1,cross_product(X0,X0),X0) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_2231]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_397,plain,
% 150.65/150.89      ( ~ member(X0,natural_numbers)
% 150.65/150.89      | member(X0,even_numbers)
% 150.65/150.89      | apply_to_two_arguments(plus,X1,X1) != X0
% 150.65/150.89      | ~ member(X1,natural_numbers) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_939_2) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2223,plain,
% 150.65/150.89      ( ~ member(X0,natural_numbers)
% 150.65/150.89      | member(X0,even_numbers)
% 150.65/150.89      | apply_to_two_arguments(plus,X1,X1) != X0
% 150.65/150.89      | ~ member(X1,natural_numbers) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_397]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2224,plain,
% 150.65/150.89      ( ~ member(X0,natural_numbers)
% 150.65/150.89      | ~ member(X1,natural_numbers)
% 150.65/150.89      | member(X0,even_numbers)
% 150.65/150.89      | apply_to_two_arguments(plus,X1,X1) != X0 ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_2223]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_382,plain,
% 150.65/150.89      ( ~ member(f1(X0,X1),X0) | X0 = X1 | ~ member(f1(X0,X1),X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_943_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2193,plain,
% 150.65/150.89      ( ~ member(f1(X0,X1),X0) | X0 = X1 | ~ member(f1(X0,X1),X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_382]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2194,plain,
% 150.65/150.89      ( ~ member(f1(X0,X1),X0) | ~ member(f1(X0,X1),X1) | X0 = X1 ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_2193]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_323,plain,
% 150.65/150.89      ( subset(range_of(X0),X1) | ~ maps(X0,X2,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_955_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2075,plain,
% 150.65/150.89      ( subset(range_of(X0),X1) | ~ maps(X0,X2,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_323]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_316,plain,
% 150.65/150.89      ( identity(X0,X1,f39(X0,X1)) | ~ group(X0,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_957_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2061,plain,
% 150.65/150.89      ( identity(X0,X1,f39(X0,X1)) | ~ group(X0,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_316]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2062,plain,
% 150.65/150.89      ( ~ group(X0,X1) | identity(X0,X1,f39(X0,X1)) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_2061]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_314,plain,
% 150.65/150.89      ( maps(X0,cross_product(X1,X1),X1) | ~ closed(X1,X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_958_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2057,plain,
% 150.65/150.89      ( maps(X0,cross_product(X1,X1),X1) | ~ closed(X1,X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_314]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2058,plain,
% 150.65/150.89      ( ~ closed(X0,X1) | maps(X1,cross_product(X0,X0),X0) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_2057]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_303,plain,
% 150.65/150.89      ( member(X0,X1) | ~ identity(X1,X2,X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_961_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2035,plain,
% 150.65/150.89      ( member(X0,X1) | ~ identity(X1,X2,X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_303]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_301,plain,
% 150.65/150.89      ( ordered_pair(f6(X0,X1),f7(X0,X1)) = X1 | ~ member(X0,second(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_962_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2031,plain,
% 150.65/150.89      ( ordered_pair(f6(X0,X1),f7(X0,X1)) = X1 | ~ member(X0,second(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_301]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2032,plain,
% 150.65/150.89      ( ~ member(X0,second(X1)) | ordered_pair(f6(X0,X1),f7(X0,X1)) = X1 ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_2031]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_299,plain,
% 150.65/150.89      ( ordered_pair(f4(X0,X1),f5(X0,X1)) = X1 | ~ member(X0,first(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_963_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2027,plain,
% 150.65/150.89      ( ordered_pair(f4(X0,X1),f5(X0,X1)) = X1 | ~ member(X0,first(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_299]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2028,plain,
% 150.65/150.89      ( ~ member(X0,first(X1)) | ordered_pair(f4(X0,X1),f5(X0,X1)) = X1 ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_2027]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_297,plain,
% 150.65/150.89      ( member(ordered_pair(second(X0),first(X0)),X1)
% 150.65/150.89      | ~ member(X0,converse(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_964_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2023,plain,
% 150.65/150.89      ( member(ordered_pair(second(X0),first(X0)),X1)
% 150.65/150.89      | ~ member(X0,converse(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_297]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_295,plain,
% 150.65/150.89      ( domain_of(X0) = X1 | ~ maps(X0,X1,X2) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_966_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2019,plain,
% 150.65/150.89      ( domain_of(X0) = X1 | ~ maps(X0,X1,X2) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_295]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2020,plain,
% 150.65/150.89      ( ~ maps(X0,X1,X2) | domain_of(X0) = X1 ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_2019]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_293,plain,
% 150.65/150.89      ( function(X0) | ~ maps(X0,X1,X2) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_967_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2015,plain,
% 150.65/150.89      ( function(X0) | ~ maps(X0,X1,X2) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_293]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_291,plain,
% 150.65/150.89      ( apply_to_two_arguments(plus,f59(X0),f59(X0)) = X0
% 150.65/150.89      | ~ member(X0,even_numbers) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_968_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2011,plain,
% 150.65/150.89      ( apply_to_two_arguments(plus,f59(X0),f59(X0)) = X0
% 150.65/150.89      | ~ member(X0,even_numbers) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_291]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2012,plain,
% 150.65/150.89      ( ~ member(X0,even_numbers)
% 150.65/150.89      | apply_to_two_arguments(plus,f59(X0),f59(X0)) = X0 ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_2011]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_288,plain,
% 150.65/150.89      ( member(X0,intersection(X1,X2)) | ~ member(X0,X2) | ~ member(X0,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_969_2) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2005,plain,
% 150.65/150.89      ( member(X0,intersection(X1,X2)) | ~ member(X0,X2) | ~ member(X0,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_288]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_286,plain,
% 150.65/150.89      ( member(second(X0),X1) | ~ member(X0,cross_product(X2,X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_970_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2001,plain,
% 150.65/150.89      ( member(second(X0),X1) | ~ member(X0,cross_product(X2,X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_286]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_284,plain,
% 150.65/150.89      ( member(first(X0),X1) | ~ member(X0,cross_product(X1,X2)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_971_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1997,plain,
% 150.65/150.89      ( member(first(X0),X1) | ~ member(X0,cross_product(X1,X2)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_284]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_282,plain,
% 150.65/150.89      ( member(f1(X0,X1),X0) | X0 = X1 | member(f1(X0,X1),X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_972_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1993,plain,
% 150.65/150.89      ( member(f1(X0,X1),X0) | X0 = X1 | member(f1(X0,X1),X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_282]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1994,plain,
% 150.65/150.89      ( member(f1(X0,X1),X0) | member(f1(X0,X1),X1) | X0 = X1 ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1993]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_274,plain,
% 150.65/150.89      ( ~ little_set(X0)
% 150.65/150.89      | member(X1,second(X2))
% 150.65/150.89      | ~ member(X1,X3)
% 150.65/150.89      | X2 != ordered_pair(X0,X3)
% 150.65/150.89      | ~ little_set(X3) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_974_3) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1977,plain,
% 150.65/150.89      ( ~ little_set(X0)
% 150.65/150.89      | member(X1,second(X2))
% 150.65/150.89      | ~ member(X1,X3)
% 150.65/150.89      | X2 != ordered_pair(X0,X3)
% 150.65/150.89      | ~ little_set(X3) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_274]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1978,plain,
% 150.65/150.89      ( ~ little_set(X0)
% 150.65/150.89      | ~ little_set(X1)
% 150.65/150.89      | member(X2,second(X3))
% 150.65/150.89      | ~ member(X2,X1)
% 150.65/150.89      | X3 != ordered_pair(X0,X1) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1977]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_269,plain,
% 150.65/150.89      ( ~ little_set(X0)
% 150.65/150.89      | member(X1,first(X2))
% 150.65/150.89      | ~ member(X1,X0)
% 150.65/150.89      | X2 != ordered_pair(X0,X3)
% 150.65/150.89      | ~ little_set(X3) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_975_3) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1967,plain,
% 150.65/150.89      ( ~ little_set(X0)
% 150.65/150.89      | member(X1,first(X2))
% 150.65/150.89      | ~ member(X1,X0)
% 150.65/150.89      | X2 != ordered_pair(X0,X3)
% 150.65/150.89      | ~ little_set(X3) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_269]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1968,plain,
% 150.65/150.89      ( ~ little_set(X0)
% 150.65/150.89      | ~ little_set(X1)
% 150.65/150.89      | member(X2,first(X3))
% 150.65/150.89      | ~ member(X2,X0)
% 150.65/150.89      | X3 != ordered_pair(X0,X1) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1967]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_264,plain,
% 150.65/150.89      ( member(successor(X0),f44(X1))
% 150.65/150.89      | member(X1,natural_numbers)
% 150.65/150.89      | ~ member(X0,f44(X1))
% 150.65/150.89      | ~ little_set(X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_976_3) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1957,plain,
% 150.65/150.89      ( member(successor(X0),f44(X1))
% 150.65/150.89      | member(X1,natural_numbers)
% 150.65/150.89      | ~ member(X0,f44(X1))
% 150.65/150.89      | ~ little_set(X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_264]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1958,plain,
% 150.65/150.89      ( ~ little_set(X0)
% 150.65/150.89      | member(successor(X1),f44(X0))
% 150.65/150.89      | member(X0,natural_numbers)
% 150.65/150.89      | ~ member(X1,f44(X0)) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1957]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_262,plain,
% 150.65/150.89      ( subset(X0,X1) | ~ member(f17(X0,X1),X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_977_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1953,plain,
% 150.65/150.89      ( subset(X0,X1) | ~ member(f17(X0,X1),X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_262]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1954,plain,
% 150.65/150.89      ( ~ member(f17(X0,X1),X1) | subset(X0,X1) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1953]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_260,plain,
% 150.65/150.89      ( member(X0,X1) | ~ member(X0,intersection(X2,X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_978_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1949,plain,
% 150.65/150.89      ( member(X0,X1) | ~ member(X0,intersection(X2,X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_260]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1950,plain,
% 150.65/150.89      ( ~ member(X0,intersection(X1,X2)) | member(X0,X2) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1949]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_258,plain,
% 150.65/150.89      ( member(X0,X1) | ~ member(X0,intersection(X1,X2)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_979_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1945,plain,
% 150.65/150.89      ( member(X0,X1) | ~ member(X0,intersection(X1,X2)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_258]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1946,plain,
% 150.65/150.89      ( ~ member(X0,intersection(X1,X2)) | member(X0,X1) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1945]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_256,plain,
% 150.65/150.89      ( maps(f58(X0),f57(X0),X0) | ~ finite(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_980_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1941,plain,
% 150.65/150.89      ( maps(f58(X0),f57(X0),X0) | ~ finite(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_256]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1942,plain,
% 150.65/150.89      ( ~ finite(X0) | maps(f58(X0),f57(X0),X0) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1941]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_254,plain,
% 150.65/150.89      ( member(f27(X0,X1),X1) | ~ member(X0,range_of(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_981_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1937,plain,
% 150.65/150.89      ( member(f27(X0,X1),X1) | ~ member(X0,range_of(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_254]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_252,plain,
% 150.65/150.89      ( member(X0,f16(X0,X1)) | ~ member(X0,sigma(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_982_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1933,plain,
% 150.65/150.89      ( member(X0,f16(X0,X1)) | ~ member(X0,sigma(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_252]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1934,plain,
% 150.65/150.89      ( ~ member(X0,sigma(X1)) | member(X0,f16(X0,X1)) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1933]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_250,plain,
% 150.65/150.89      ( member(f16(X0,X1),X1) | ~ member(X0,sigma(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_983_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1929,plain,
% 150.65/150.89      ( member(f16(X0,X1),X1) | ~ member(X0,sigma(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_250]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_248,plain,
% 150.65/150.89      ( member(f8(X0,X1),X1) | ~ member(X0,domain_of(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_984_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1925,plain,
% 150.65/150.89      ( member(f8(X0,X1),X1) | ~ member(X0,domain_of(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_248]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_246,plain,
% 150.65/150.89      ( member(X0,f7(X0,X1)) | ~ member(X0,second(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_985_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1921,plain,
% 150.65/150.89      ( member(X0,f7(X0,X1)) | ~ member(X0,second(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_246]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1922,plain,
% 150.65/150.89      ( ~ member(X0,second(X1)) | member(X0,f7(X0,X1)) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1921]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_244,plain,
% 150.65/150.89      ( member(X0,f4(X0,X1)) | ~ member(X0,first(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_986_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1917,plain,
% 150.65/150.89      ( member(X0,f4(X0,X1)) | ~ member(X0,first(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_244]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1918,plain,
% 150.65/150.89      ( ~ member(X0,first(X1)) | member(X0,f4(X0,X1)) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1917]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_242,plain,
% 150.65/150.89      ( member(ordered_pair(f19(X0),f21(X0)),X0) | single_valued_set(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_987_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1913,plain,
% 150.65/150.89      ( member(ordered_pair(f19(X0),f21(X0)),X0) | single_valued_set(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_242]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_240,plain,
% 150.65/150.89      ( member(ordered_pair(f19(X0),f20(X0)),X0) | single_valued_set(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_988_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1909,plain,
% 150.65/150.89      ( member(ordered_pair(f19(X0),f20(X0)),X0) | single_valued_set(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_240]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_233,plain,
% 150.65/150.89      ( ~ member(X0,X1) | ~ member(X0,X2) | ~ disjoint(X2,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_991_2) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1895,plain,
% 150.65/150.89      ( ~ member(X0,X1) | ~ member(X0,X2) | ~ disjoint(X2,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_233]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_231,plain,
% 150.65/150.89      ( ordered_pair_predicate(X0) | ~ member(X0,cross_product(X1,X2)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_992_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1891,plain,
% 150.65/150.89      ( ordered_pair_predicate(X0) | ~ member(X0,cross_product(X1,X2)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_231]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1892,plain,
% 150.65/150.89      ( ~ member(X0,cross_product(X1,X2)) | ordered_pair_predicate(X0) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1891]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_230,plain,
% 150.65/150.89      ( ~ member(X0,non_ordered_pair(X1,X2)) | X0 = X1 | X0 = X2 ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_993_0) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1889,plain,
% 150.65/150.89      ( ~ member(X0,non_ordered_pair(X1,X2)) | X0 = X1 | X0 = X2 ),
% 150.65/150.89      inference(copy,[status(esa)],[c_230]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_228,plain,
% 150.65/150.89      ( X0 = X1 | X0 = X2 | ~ member(X0,non_ordered_pair(X2,X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_993_2) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1885,plain,
% 150.65/150.89      ( X0 = X1 | X0 = X2 | ~ member(X0,non_ordered_pair(X2,X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_228]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1886,plain,
% 150.65/150.89      ( ~ member(X0,non_ordered_pair(X1,X2)) | X0 = X2 | X0 = X1 ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1885]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_220,plain,
% 150.65/150.89      ( member(X0,sigma(X1)) | ~ member(X0,X2) | ~ member(X2,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_995_2) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1869,plain,
% 150.65/150.89      ( member(X0,sigma(X1)) | ~ member(X0,X2) | ~ member(X2,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_220]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_213,plain,
% 150.65/150.89      ( second(f27(X0,X1)) = X0 | ~ member(X0,range_of(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_997_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1855,plain,
% 150.65/150.89      ( second(f27(X0,X1)) = X0 | ~ member(X0,range_of(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_213]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1856,plain,
% 150.65/150.89      ( ~ member(X0,range_of(X1)) | second(f27(X0,X1)) = X0 ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1855]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_211,plain,
% 150.65/150.89      ( first(f8(X0,X1)) = X0 | ~ member(X0,domain_of(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_998_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1851,plain,
% 150.65/150.89      ( first(f8(X0,X1)) = X0 | ~ member(X0,domain_of(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_211]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1852,plain,
% 150.65/150.89      ( ~ member(X0,domain_of(X1)) | first(f8(X0,X1)) = X0 ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1851]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_209,plain,
% 150.65/150.89      ( ordered_pair_predicate(f27(X0,X1)) | ~ member(X0,range_of(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_999_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1847,plain,
% 150.65/150.89      ( ordered_pair_predicate(f27(X0,X1)) | ~ member(X0,range_of(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_209]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1848,plain,
% 150.65/150.89      ( ~ member(X0,range_of(X1)) | ordered_pair_predicate(f27(X0,X1)) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1847]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_207,plain,
% 150.65/150.89      ( little_set(f14(X0,X1)) | ~ member(X0,flip_range_of(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1000_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1843,plain,
% 150.65/150.89      ( little_set(f14(X0,X1)) | ~ member(X0,flip_range_of(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_207]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_205,plain,
% 150.65/150.89      ( little_set(f13(X0,X1)) | ~ member(X0,flip_range_of(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1001_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1839,plain,
% 150.65/150.89      ( little_set(f13(X0,X1)) | ~ member(X0,flip_range_of(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_205]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_203,plain,
% 150.65/150.89      ( little_set(f12(X0,X1)) | ~ member(X0,flip_range_of(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1002_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1835,plain,
% 150.65/150.89      ( little_set(f12(X0,X1)) | ~ member(X0,flip_range_of(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_203]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_201,plain,
% 150.65/150.89      ( little_set(f11(X0,X1)) | ~ member(X0,rotate_right(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1003_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1831,plain,
% 150.65/150.89      ( little_set(f11(X0,X1)) | ~ member(X0,rotate_right(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_201]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_199,plain,
% 150.65/150.89      ( little_set(f10(X0,X1)) | ~ member(X0,rotate_right(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1004_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1827,plain,
% 150.65/150.89      ( little_set(f10(X0,X1)) | ~ member(X0,rotate_right(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_199]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_197,plain,
% 150.65/150.89      ( little_set(f9(X0,X1)) | ~ member(X0,rotate_right(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1005_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1823,plain,
% 150.65/150.89      ( little_set(f9(X0,X1)) | ~ member(X0,rotate_right(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_197]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_195,plain,
% 150.65/150.89      ( ordered_pair_predicate(f8(X0,X1)) | ~ member(X0,domain_of(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1006_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1819,plain,
% 150.65/150.89      ( ordered_pair_predicate(f8(X0,X1)) | ~ member(X0,domain_of(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_195]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1820,plain,
% 150.65/150.89      ( ~ member(X0,domain_of(X1)) | ordered_pair_predicate(f8(X0,X1)) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1819]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_193,plain,
% 150.65/150.89      ( little_set(f7(X0,X1)) | ~ member(X0,second(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1007_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1815,plain,
% 150.65/150.89      ( little_set(f7(X0,X1)) | ~ member(X0,second(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_193]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_191,plain,
% 150.65/150.89      ( little_set(f6(X0,X1)) | ~ member(X0,second(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1008_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1811,plain,
% 150.65/150.89      ( little_set(f6(X0,X1)) | ~ member(X0,second(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_191]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_189,plain,
% 150.65/150.89      ( little_set(f5(X0,X1)) | ~ member(X0,first(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1009_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1807,plain,
% 150.65/150.89      ( little_set(f5(X0,X1)) | ~ member(X0,first(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_189]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_187,plain,
% 150.65/150.89      ( little_set(f4(X0,X1)) | ~ member(X0,first(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1010_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1803,plain,
% 150.65/150.89      ( little_set(f4(X0,X1)) | ~ member(X0,first(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_187]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_184,plain,
% 150.65/150.89      ( member(X0,X1) | ~ member(X0,X2) | ~ subset(X2,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1012_2) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1797,plain,
% 150.65/150.89      ( member(X0,X1) | ~ member(X0,X2) | ~ subset(X2,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_184]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_181,plain,
% 150.65/150.89      ( member(ordered_pair(X0,f26(X0)),f25)
% 150.65/150.89      | X0 = empty_set
% 150.65/150.89      | ~ little_set(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1013_2) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1791,plain,
% 150.65/150.89      ( member(ordered_pair(X0,f26(X0)),f25)
% 150.65/150.89      | X0 = empty_set
% 150.65/150.89      | ~ little_set(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_181]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1792,plain,
% 150.65/150.89      ( ~ little_set(X0)
% 150.65/150.89      | member(ordered_pair(X0,f26(X0)),f25)
% 150.65/150.89      | X0 = empty_set ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1791]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_169,plain,
% 150.65/150.89      ( ~ member(X0,X1) | ~ member(X0,complement(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1016_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1767,plain,
% 150.65/150.89      ( ~ member(X0,X1) | ~ member(X0,complement(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_169]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1768,plain,
% 150.65/150.89      ( ~ member(X0,complement(X1)) | ~ member(X0,X1) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1767]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_167,plain,
% 150.65/150.89      ( member(f42(X0,X1),X0) | commutes(X0,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1017_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1763,plain,
% 150.65/150.89      ( member(f42(X0,X1),X0) | commutes(X0,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_167]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_165,plain,
% 150.65/150.89      ( member(f41(X0,X1),X0) | commutes(X0,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1018_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1759,plain,
% 150.65/150.89      ( member(f41(X0,X1),X0) | commutes(X0,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_165]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_163,plain,
% 150.65/150.89      ( member(f36(X0,X1),X0) | associative(X0,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1019_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1755,plain,
% 150.65/150.89      ( member(f36(X0,X1),X0) | associative(X0,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_163]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_161,plain,
% 150.65/150.89      ( member(f35(X0,X1),X0) | associative(X0,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1020_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1751,plain,
% 150.65/150.89      ( member(f35(X0,X1),X0) | associative(X0,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_161]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_159,plain,
% 150.65/150.89      ( member(f34(X0,X1),X0) | associative(X0,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1021_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1747,plain,
% 150.65/150.89      ( member(f34(X0,X1),X0) | associative(X0,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_159]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_157,plain,
% 150.65/150.89      ( member(f23(X0,X1),X1) | disjoint(X0,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1022_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1743,plain,
% 150.65/150.89      ( member(f23(X0,X1),X1) | disjoint(X0,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_157]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_155,plain,
% 150.65/150.89      ( member(f23(X0,X1),X0) | disjoint(X0,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1023_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1739,plain,
% 150.65/150.89      ( member(f23(X0,X1),X0) | disjoint(X0,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_155]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_153,plain,
% 150.65/150.89      ( member(f17(X0,X1),X0) | subset(X0,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1024_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1735,plain,
% 150.65/150.89      ( member(f17(X0,X1),X0) | subset(X0,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_153]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_151,plain,
% 150.65/150.89      ( member(successor(successor(X0)),prime_numbers)
% 150.65/150.89      | ~ member(X0,twin_prime_numbers) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1025_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1731,plain,
% 150.65/150.89      ( member(successor(successor(X0)),prime_numbers)
% 150.65/150.89      | ~ member(X0,twin_prime_numbers) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_151]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_148,plain,
% 150.65/150.89      ( member(X0,non_ordered_pair(X1,X2)) | X0 != X2 | ~ little_set(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1026_2) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1725,plain,
% 150.65/150.89      ( member(X0,non_ordered_pair(X1,X2)) | X0 != X2 | ~ little_set(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_148]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1726,plain,
% 150.65/150.89      ( ~ little_set(X0) | member(X0,non_ordered_pair(X1,X2)) | X0 != X2 ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1725]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_145,plain,
% 150.65/150.89      ( member(X0,non_ordered_pair(X1,X2)) | X0 != X1 | ~ little_set(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1027_2) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1719,plain,
% 150.65/150.89      ( member(X0,non_ordered_pair(X1,X2)) | X0 != X1 | ~ little_set(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_145]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1720,plain,
% 150.65/150.89      ( ~ little_set(X0) | member(X0,non_ordered_pair(X1,X2)) | X0 != X1 ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1719]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_142,plain,
% 150.65/150.89      ( member(X0,powerset(X1)) | ~ subset(X0,X1) | ~ little_set(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1029_2) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1713,plain,
% 150.65/150.89      ( member(X0,powerset(X1)) | ~ subset(X0,X1) | ~ little_set(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_142]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1714,plain,
% 150.65/150.89      ( ~ little_set(X0) | member(X0,powerset(X1)) | ~ subset(X0,X1) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1713]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_140,plain,
% 150.65/150.89      ( member(first(X0),second(X0)) | ~ member(X0,estin) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1030_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1709,plain,
% 150.65/150.89      ( member(first(X0),second(X0)) | ~ member(X0,estin) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_140]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_138,plain,
% 150.65/150.89      ( subset(X0,X1) | ~ member(X0,powerset(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1031_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1705,plain,
% 150.65/150.89      ( subset(X0,X1) | ~ member(X0,powerset(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_138]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1706,plain,
% 150.65/150.89      ( ~ member(X0,powerset(X1)) | subset(X0,X1) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1705]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_136,plain,
% 150.65/150.89      ( member(X0,times) | ~ member(X0,f54(X0)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1032_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1701,plain,
% 150.65/150.89      ( member(X0,times) | ~ member(X0,f54(X0)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_136]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_134,plain,
% 150.65/150.89      ( member(X0,plus) | ~ member(X0,f49(X0)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1033_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1697,plain,
% 150.65/150.89      ( member(X0,plus) | ~ member(X0,f49(X0)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_134]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_132,plain,
% 150.65/150.89      ( member(X0,natural_numbers) | ~ member(X0,f44(X0)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1034_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1693,plain,
% 150.65/150.89      ( member(X0,natural_numbers) | ~ member(X0,f44(X0)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_132]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_126,plain,
% 150.65/150.89      ( ~ little_set(X0)
% 150.65/150.89      | ordered_pair_predicate(X1)
% 150.65/150.89      | X1 != ordered_pair(X0,X2)
% 150.65/150.89      | ~ little_set(X2) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1036_2) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1681,plain,
% 150.65/150.89      ( ~ little_set(X0)
% 150.65/150.89      | ordered_pair_predicate(X1)
% 150.65/150.89      | X1 != ordered_pair(X0,X2)
% 150.65/150.89      | ~ little_set(X2) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_126]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1682,plain,
% 150.65/150.89      ( ~ little_set(X0)
% 150.65/150.89      | ~ little_set(X1)
% 150.65/150.89      | ordered_pair_predicate(X2)
% 150.65/150.89      | X2 != ordered_pair(X0,X1) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1681]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_122,plain,
% 150.65/150.89      ( member(X0,X1) | member(X0,complement(X1)) | ~ little_set(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1037_2) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1673,plain,
% 150.65/150.89      ( member(X0,X1) | member(X0,complement(X1)) | ~ little_set(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_122]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1674,plain,
% 150.65/150.89      ( ~ little_set(X0) | member(X0,complement(X1)) | member(X0,X1) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1673]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_113,plain,
% 150.65/150.89      ( member(f59(X0),natural_numbers) | ~ member(X0,even_numbers) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1040_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1655,plain,
% 150.65/150.89      ( member(f59(X0),natural_numbers) | ~ member(X0,even_numbers) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_113]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_111,plain,
% 150.65/150.89      ( member(successor(X0),infinity) | ~ member(X0,infinity) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1041_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1651,plain,
% 150.65/150.89      ( member(successor(X0),infinity) | ~ member(X0,infinity) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_111]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_108,plain,
% 150.65/150.89      ( member(empty_set,f44(X0))
% 150.65/150.89      | member(X0,natural_numbers)
% 150.65/150.89      | ~ little_set(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1042_2) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1645,plain,
% 150.65/150.89      ( member(empty_set,f44(X0))
% 150.65/150.89      | member(X0,natural_numbers)
% 150.65/150.89      | ~ little_set(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_108]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1646,plain,
% 150.65/150.89      ( ~ little_set(X0)
% 150.65/150.89      | member(empty_set,f44(X0))
% 150.65/150.89      | member(X0,natural_numbers) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1645]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_106,plain,
% 150.65/150.89      ( associative(X0,X1) | ~ group(X0,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1043_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1641,plain,
% 150.65/150.89      ( associative(X0,X1) | ~ group(X0,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_106]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1642,plain,
% 150.65/150.89      ( ~ group(X0,X1) | associative(X0,X1) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1641]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_104,plain,
% 150.65/150.89      ( closed(X0,X1) | ~ group(X0,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1044_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1637,plain,
% 150.65/150.89      ( closed(X0,X1) | ~ group(X0,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_104]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_102,plain,
% 150.65/150.89      ( subset(X0,X1) | ~ proper_subset(X0,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1045_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1633,plain,
% 150.65/150.89      ( subset(X0,X1) | ~ proper_subset(X0,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_102]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1634,plain,
% 150.65/150.89      ( ~ proper_subset(X0,X1) | subset(X0,X1) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1633]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_100,plain,
% 150.65/150.89      ( ordered_pair_predicate(X0) | ~ member(X0,converse(X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1046_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1629,plain,
% 150.65/150.89      ( ordered_pair_predicate(X0) | ~ member(X0,converse(X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_100]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1630,plain,
% 150.65/150.89      ( ~ member(X0,converse(X1)) | ordered_pair_predicate(X0) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1629]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_98,plain,
% 150.65/150.89      ( ordered_pair(f2(X0),f3(X0)) = X0 | ~ ordered_pair_predicate(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1047_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1625,plain,
% 150.65/150.89      ( ordered_pair(f2(X0),f3(X0)) = X0 | ~ ordered_pair_predicate(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_98]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1626,plain,
% 150.65/150.89      ( ~ ordered_pair_predicate(X0) | ordered_pair(f2(X0),f3(X0)) = X0 ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1625]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_93,plain,
% 150.65/150.89      ( member(X0,natural_numbers) | ~ member(X0,even_numbers) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1049_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1615,plain,
% 150.65/150.89      ( member(X0,natural_numbers) | ~ member(X0,even_numbers) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_93]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_91,plain,
% 150.65/150.89      ( member(X0,prime_numbers) | ~ member(X0,twin_prime_numbers) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1050_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1611,plain,
% 150.65/150.89      ( member(X0,prime_numbers) | ~ member(X0,twin_prime_numbers) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_91]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_89,plain,
% 150.65/150.89      ( member(X0,natural_numbers) | ~ member(X0,prime_numbers) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1051_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1607,plain,
% 150.65/150.89      ( member(X0,natural_numbers) | ~ member(X0,prime_numbers) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_89]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1608,plain,
% 150.65/150.89      ( ~ member(X0,prime_numbers) | member(X0,natural_numbers) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1607]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_87,plain,
% 150.65/150.89      ( X0 = X1 | little_set(f1(X0,X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1052_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1603,plain,
% 150.65/150.89      ( X0 = X1 | little_set(f1(X0,X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_87]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1604,plain,
% 150.65/150.89      ( little_set(f1(X0,X1)) | X0 = X1 ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1603]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_75,plain,
% 150.65/150.89      ( member(f26(X0),X0) | X0 = empty_set | ~ little_set(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1057_2) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1579,plain,
% 150.65/150.89      ( member(f26(X0),X0) | X0 = empty_set | ~ little_set(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_75]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1580,plain,
% 150.65/150.89      ( ~ little_set(X0) | member(f26(X0),X0) | X0 = empty_set ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1579]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_73,plain,
% 150.65/150.89      ( second(X0) = first(X0) | ~ member(X0,identity_relation) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1058_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1575,plain,
% 150.65/150.89      ( second(X0) = first(X0) | ~ member(X0,identity_relation) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_73]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1576,plain,
% 150.65/150.89      ( ~ member(X0,identity_relation) | second(X0) = first(X0) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1575]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_68,plain,
% 150.65/150.89      ( little_set(X0) | ~ closed(X1,X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1060_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1565,plain,
% 150.65/150.89      ( little_set(X0) | ~ closed(X1,X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_68]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_66,plain,
% 150.65/150.89      ( little_set(X0) | ~ closed(X0,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1061_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1561,plain,
% 150.65/150.89      ( little_set(X0) | ~ closed(X0,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_66]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_64,plain,
% 150.65/150.89      ( little_set(X0) | ~ member(X0,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1062_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1557,plain,
% 150.65/150.89      ( little_set(X0) | ~ member(X0,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_64]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_62,plain,
% 150.65/150.89      ( X0 != successor(empty_set) | ~ member(X0,prime_numbers) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1063_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1553,plain,
% 150.65/150.89      ( X0 != successor(empty_set) | ~ member(X0,prime_numbers) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_62]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1554,plain,
% 150.65/150.89      ( ~ member(X0,prime_numbers) | X0 != successor(empty_set) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1553]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_60,plain,
% 150.65/150.89      ( X0 != X1 | ~ proper_subset(X0,X1) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1064_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1549,plain,
% 150.65/150.89      ( X0 != X1 | ~ proper_subset(X0,X1) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_60]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1550,plain,
% 150.65/150.89      ( ~ proper_subset(X0,X1) | X0 != X1 ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1549]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_58,plain,
% 150.65/150.89      ( member(f57(X0),natural_numbers) | ~ finite(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1065_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1545,plain,
% 150.65/150.89      ( member(f57(X0),natural_numbers) | ~ finite(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_58]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_56,plain,
% 150.65/150.89      ( member(f18(X0),X0) | relation(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1066_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1541,plain,
% 150.65/150.89      ( member(f18(X0),X0) | relation(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_56]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_54,plain,
% 150.65/150.89      ( ordered_pair_predicate(X0) | ~ member(X0,identity_relation) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1067_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1537,plain,
% 150.65/150.89      ( ordered_pair_predicate(X0) | ~ member(X0,identity_relation) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_54]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1538,plain,
% 150.65/150.89      ( ~ member(X0,identity_relation) | ordered_pair_predicate(X0) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1537]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_52,plain,
% 150.65/150.89      ( ordered_pair_predicate(X0) | ~ member(X0,estin) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1068_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1533,plain,
% 150.65/150.89      ( ordered_pair_predicate(X0) | ~ member(X0,estin) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_52]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1534,plain,
% 150.65/150.89      ( ~ member(X0,estin) | ordered_pair_predicate(X0) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1533]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_50,plain,
% 150.65/150.89      ( X0 != empty_set | ~ member(X0,prime_numbers) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1070_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1529,plain,
% 150.65/150.89      ( X0 != empty_set | ~ member(X0,prime_numbers) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_50]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1530,plain,
% 150.65/150.89      ( ~ member(X0,prime_numbers) | X0 != empty_set ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1529]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_48,plain,
% 150.65/150.89      ( disjoint(f24(X0),X0) | X0 = empty_set ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1071_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1525,plain,
% 150.65/150.89      ( disjoint(f24(X0),X0) | X0 = empty_set ),
% 150.65/150.89      inference(copy,[status(esa)],[c_48]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_46,plain,
% 150.65/150.89      ( member(f24(X0),X0) | X0 = empty_set ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1072_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1521,plain,
% 150.65/150.89      ( member(f24(X0),X0) | X0 = empty_set ),
% 150.65/150.89      inference(copy,[status(esa)],[c_46]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_44,plain,
% 150.65/150.89      ( relation(X0) | ~ ordered_pair_predicate(f18(X0)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1073_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1517,plain,
% 150.65/150.89      ( relation(X0) | ~ ordered_pair_predicate(f18(X0)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_44]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_42,plain,
% 150.65/150.89      ( member(X0,universal_set) | ~ little_set(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1075_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1513,plain,
% 150.65/150.89      ( member(X0,universal_set) | ~ little_set(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_42]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1514,plain,
% 150.65/150.89      ( ~ little_set(X0) | member(X0,universal_set) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1513]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_37,plain,
% 150.65/150.89      ( range_of(f58(X0)) = X0 | ~ finite(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1077_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1503,plain,
% 150.65/150.89      ( range_of(f58(X0)) = X0 | ~ finite(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_37]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1504,plain,
% 150.65/150.89      ( ~ finite(X0) | range_of(f58(X0)) = X0 ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1503]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_35,plain,
% 150.65/150.89      ( one_to_one_function(f58(X0)) | ~ finite(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1079_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1499,plain,
% 150.65/150.89      ( one_to_one_function(f58(X0)) | ~ finite(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_35]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_33,plain,
% 150.65/150.89      ( function(converse(X0)) | ~ one_to_one_function(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1080_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1495,plain,
% 150.65/150.89      ( function(converse(X0)) | ~ one_to_one_function(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_33]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_31,plain,
% 150.65/150.89      ( little_set(powerset(X0)) | ~ little_set(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1081_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1491,plain,
% 150.65/150.89      ( little_set(powerset(X0)) | ~ little_set(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_31]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_29,plain,
% 150.65/150.89      ( little_set(sigma(X0)) | ~ little_set(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1082_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1487,plain,
% 150.65/150.89      ( little_set(sigma(X0)) | ~ little_set(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_29]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_27,plain,
% 150.65/150.89      ( little_set(f3(X0)) | ~ ordered_pair_predicate(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1083_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1483,plain,
% 150.65/150.89      ( little_set(f3(X0)) | ~ ordered_pair_predicate(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_27]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_25,plain,
% 150.65/150.89      ( little_set(f2(X0)) | ~ ordered_pair_predicate(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1084_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1479,plain,
% 150.65/150.89      ( little_set(f2(X0)) | ~ ordered_pair_predicate(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_25]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_23,plain,
% 150.65/150.89      ( single_valued_set(X0) | f21(X0) != f20(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1085_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1475,plain,
% 150.65/150.89      ( single_valued_set(X0) | f21(X0) != f20(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_23]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_21,plain,
% 150.65/150.89      ( little_set(f21(X0)) | single_valued_set(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1086_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1471,plain,
% 150.65/150.89      ( little_set(f21(X0)) | single_valued_set(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_21]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_19,plain,
% 150.65/150.89      ( little_set(f20(X0)) | single_valued_set(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1087_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1467,plain,
% 150.65/150.89      ( little_set(f20(X0)) | single_valued_set(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_19]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_17,plain,
% 150.65/150.89      ( little_set(f19(X0)) | single_valued_set(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1088_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1463,plain,
% 150.65/150.89      ( little_set(f19(X0)) | single_valued_set(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_17]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_15,plain,
% 150.65/150.89      ( function(X0) | ~ one_to_one_function(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1089_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1459,plain,
% 150.65/150.89      ( function(X0) | ~ one_to_one_function(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_15]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_13,plain,
% 150.65/150.89      ( single_valued_set(X0) | ~ function(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1090_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1455,plain,
% 150.65/150.89      ( single_valued_set(X0) | ~ function(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_13]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1456,plain,
% 150.65/150.89      ( ~ function(X0) | single_valued_set(X0) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1455]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_11,plain,
% 150.65/150.89      ( relation(X0) | ~ function(X0) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1091_1) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1451,plain,
% 150.65/150.89      ( relation(X0) | ~ function(X0) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_11]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1452,plain,
% 150.65/150.89      ( ~ function(X0) | relation(X0) ),
% 150.65/150.89      inference(rewriting,[status(thm)],[c_1451]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_10,plain,
% 150.65/150.89      ( ~ member(X0,empty_set) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1074_0) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1449,plain,
% 150.65/150.89      ( ~ member(X0,empty_set) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_10]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_5,plain,
% 150.65/150.89      ( little_set(non_ordered_pair(X0,X1)) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1056_0) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1443,plain,
% 150.65/150.89      ( little_set(non_ordered_pair(X0,X1)) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_5]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_2,plain,
% 150.65/150.89      ( member(empty_set,infinity) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1092_0) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1439,plain,
% 150.65/150.89      ( member(empty_set,infinity) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_2]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1,plain,
% 150.65/150.89      ( function(f25) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1093_0) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1437,plain,( function(f25) ),inference(copy,[status(esa)],[c_1]) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_0,plain,
% 150.65/150.89      ( little_set(infinity) ),
% 150.65/150.89      file('/export/starexec/sandbox/tmp/iprover_modulo_4af0cf.p', c_0_1094_0) ).
% 150.65/150.89  
% 150.65/150.89  cnf(c_1435,plain,
% 150.65/150.89      ( little_set(infinity) ),
% 150.65/150.89      inference(copy,[status(esa)],[c_0]) ).
% 150.65/150.90  
% 150.65/150.90  
% 150.65/150.90  
% 150.65/150.90  % ------                             Statistics
% 150.65/150.90  
% 150.65/150.90  % ------ General
% 150.65/150.90  
% 150.65/150.90  % num_of_input_clauses:                 637
% 150.65/150.90  % num_of_input_neg_conjectures:         1
% 150.65/150.90  % num_of_splits:                        0
% 150.65/150.90  % num_of_split_atoms:                   0
% 150.65/150.90  % num_of_sem_filtered_clauses:          0
% 150.65/150.90  % num_of_subtypes:                      0
% 150.65/150.90  % monotx_restored_types:                0
% 150.65/150.90  % sat_num_of_epr_types:                 0
% 150.65/150.90  % sat_num_of_non_cyclic_types:          0
% 150.65/150.90  % sat_guarded_non_collapsed_types:      0
% 150.65/150.90  % is_epr:                               0
% 150.65/150.90  % is_horn:                              0
% 150.65/150.90  % has_eq:                               1
% 150.65/150.90  % num_pure_diseq_elim:                  0
% 150.65/150.90  % simp_replaced_by:                     0
% 150.65/150.90  % res_preprocessed:                     2
% 150.65/150.90  % prep_upred:                           0
% 150.65/150.90  % prep_unflattend:                      0
% 150.65/150.90  % pred_elim_cands:                      0
% 150.65/150.90  % pred_elim:                            0
% 150.65/150.90  % pred_elim_cl:                         0
% 150.65/150.90  % pred_elim_cycles:                     0
% 150.65/150.90  % forced_gc_time:                       0
% 150.65/150.90  % gc_basic_clause_elim:                 0
% 150.65/150.90  % parsing_time:                         0.016
% 150.65/150.90  % sem_filter_time:                      0.
% 150.65/150.90  % pred_elim_time:                       0.
% 150.65/150.90  % out_proof_time:                       0.
% 150.65/150.90  % monotx_time:                          0.
% 150.65/150.90  % subtype_inf_time:                     0.
% 150.65/150.90  % unif_index_cands_time:                0.
% 150.65/150.90  % unif_index_add_time:                  0.
% 150.65/150.90  % total_time:                           0.328
% 150.65/150.90  % num_of_symbols:                       135
% 150.65/150.90  % num_of_terms:                         1671
% 150.65/150.90  
% 150.65/150.90  % ------ Propositional Solver
% 150.65/150.90  
% 150.65/150.90  % prop_solver_calls:                    1
% 150.65/150.90  % prop_fast_solver_calls:               3
% 150.65/150.90  % prop_num_of_clauses:                  443
% 150.65/150.90  % prop_preprocess_simplified:           2105
% 150.65/150.90  % prop_fo_subsumed:                     0
% 150.65/150.90  % prop_solver_time:                     0.
% 150.65/150.90  % prop_fast_solver_time:                0.
% 150.65/150.90  % prop_unsat_core_time:                 0.
% 150.65/150.90  
% 150.65/150.90  % ------ QBF 
% 150.65/150.90  
% 150.65/150.90  % qbf_q_res:                            0
% 150.65/150.90  % qbf_num_tautologies:                  0
% 150.65/150.90  % qbf_prep_cycles:                      0
% 150.65/150.90  
% 150.65/150.90  % ------ BMC1
% 150.65/150.90  
% 150.65/150.90  % bmc1_current_bound:                   -1
% 150.65/150.90  % bmc1_last_solved_bound:               -1
% 150.65/150.90  % bmc1_unsat_core_size:                 -1
% 150.65/150.90  % bmc1_unsat_core_parents_size:         -1
% 150.65/150.90  % bmc1_merge_next_fun:                  0
% 150.65/150.90  % bmc1_unsat_core_clauses_time:         0.
% 150.65/150.90  
% 150.65/150.90  % ------ Instantiation
% 150.65/150.90  
% 150.65/150.90  % inst_num_of_clauses:                  637
% 150.65/150.90  % inst_num_in_passive:                  0
% 150.65/150.90  % inst_num_in_active:                   0
% 150.65/150.90  % inst_num_in_unprocessed:              637
% 150.65/150.90  % inst_num_of_loops:                    0
% 150.65/150.90  % inst_num_of_learning_restarts:        0
% 150.65/150.90  % inst_num_moves_active_passive:        0
% 150.65/150.90  % inst_lit_activity:                    0
% 150.65/150.90  % inst_lit_activity_moves:              0
% 150.65/150.90  % inst_num_tautologies:                 0
% 150.65/150.90  % inst_num_prop_implied:                0
% 150.65/150.90  % inst_num_existing_simplified:         0
% 150.65/150.90  % inst_num_eq_res_simplified:           0
% 150.65/150.90  % inst_num_child_elim:                  0
% 150.65/150.90  % inst_num_of_dismatching_blockings:    0
% 150.65/150.90  % inst_num_of_non_proper_insts:         0
% 150.68/150.90  % inst_num_of_duplicates:               0
% 150.68/150.90  % inst_inst_num_from_inst_to_res:       0
% 150.68/150.90  % inst_dismatching_checking_time:       0.
% 150.68/150.90  
% 150.68/150.90  % ------ Resolution
% 150.68/150.90  
% 150.68/150.90  % res_num_of_clauses:                   740
% 150.68/150.90  % res_num_in_passive:                   0
% 150.68/150.90  % res_num_in_active:                    251
% 150.68/150.90  % res_num_of_loops:                     2
% 150.68/150.90  % res_forward_subset_subsumed:          380
% 150.68/150.90  % res_backward_subset_subsumed:         0
% 150.68/150.90  % res_forward_subsumed:                 0
% 150.68/150.90  % res_backward_subsumed:                0
% 150.68/150.90  % res_forward_subsumption_resolution:   0
% 150.68/150.90  % res_backward_subsumption_resolution:  0
% 150.68/150.90  % res_clause_to_clause_subsumption:     5
% 150.68/150.90  % res_orphan_elimination:               0
% 150.68/150.90  % res_tautology_del:                    0
% 150.68/150.90  % res_num_eq_res_simplified:            0
% 150.68/150.90  % res_num_sel_changes:                  0
% 150.68/150.90  % res_moves_from_active_to_pass:        0
% 150.68/150.90  
% 150.68/150.90  % Status Unknown
% 150.68/150.90  % Last status :
% 150.68/150.90  % SZS status Unknown
%------------------------------------------------------------------------------