TSTP Solution File: GRP125-1.004 by iProverMo---2.5-0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : GRP125-1.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n014.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 : Sat Jul 16 09:44:58 EDT 2022

% Result   : Unknown 31.71s 31.90s
% Output   : None 
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GRP125-1.004 : TPTP v8.1.0. Released v1.2.0.
% 0.03/0.13  % Command  : iprover_modulo %s %d
% 0.13/0.36  % Computer : n014.cluster.edu
% 0.13/0.36  % Model    : x86_64 x86_64
% 0.13/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36  % Memory   : 8042.1875MB
% 0.13/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36  % CPULimit : 300
% 0.13/0.36  % WCLimit  : 600
% 0.13/0.36  % DateTime : Mon Jun 13 17:56:37 EDT 2022
% 0.13/0.36  % CPUTime  : 
% 0.13/0.37  % Running in mono-core mode
% 0.13/0.42  % Orienting using strategy Equiv(ClausalAll)
% 0.13/0.42  % Orientation found
% 0.13/0.42  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_98215e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_831003 | grep -v "SZS"
% 0.21/0.44  
% 0.21/0.44  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.44  
% 0.21/0.44  % 
% 0.21/0.44  % ------  iProver source info 
% 0.21/0.44  
% 0.21/0.44  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.44  % git: non_committed_changes: true
% 0.21/0.44  % git: last_make_outside_of_git: true
% 0.21/0.44  
% 0.21/0.44  % 
% 0.21/0.44  % ------ Input Options
% 0.21/0.44  
% 0.21/0.44  % --out_options                         all
% 0.21/0.44  % --tptp_safe_out                       true
% 0.21/0.44  % --problem_path                        ""
% 0.21/0.44  % --include_path                        ""
% 0.21/0.44  % --clausifier                          .//eprover
% 0.21/0.44  % --clausifier_options                  --tstp-format  
% 0.21/0.44  % --stdin                               false
% 0.21/0.44  % --dbg_backtrace                       false
% 0.21/0.44  % --dbg_dump_prop_clauses               false
% 0.21/0.44  % --dbg_dump_prop_clauses_file          -
% 0.21/0.44  % --dbg_out_stat                        false
% 0.21/0.44  
% 0.21/0.44  % ------ General Options
% 0.21/0.44  
% 0.21/0.44  % --fof                                 false
% 0.21/0.44  % --time_out_real                       150.
% 0.21/0.44  % --time_out_prep_mult                  0.2
% 0.21/0.44  % --time_out_virtual                    -1.
% 0.21/0.44  % --schedule                            none
% 0.21/0.44  % --ground_splitting                    input
% 0.21/0.44  % --splitting_nvd                       16
% 0.21/0.44  % --non_eq_to_eq                        false
% 0.21/0.44  % --prep_gs_sim                         true
% 0.21/0.44  % --prep_unflatten                      false
% 0.21/0.44  % --prep_res_sim                        true
% 0.21/0.44  % --prep_upred                          true
% 0.21/0.44  % --res_sim_input                       true
% 0.21/0.44  % --clause_weak_htbl                    true
% 0.21/0.44  % --gc_record_bc_elim                   false
% 0.21/0.44  % --symbol_type_check                   false
% 0.21/0.44  % --clausify_out                        false
% 0.21/0.44  % --large_theory_mode                   false
% 0.21/0.44  % --prep_sem_filter                     none
% 0.21/0.44  % --prep_sem_filter_out                 false
% 0.21/0.44  % --preprocessed_out                    false
% 0.21/0.44  % --sub_typing                          false
% 0.21/0.44  % --brand_transform                     false
% 0.21/0.44  % --pure_diseq_elim                     true
% 0.21/0.44  % --min_unsat_core                      false
% 0.21/0.44  % --pred_elim                           true
% 0.21/0.44  % --add_important_lit                   false
% 0.21/0.44  % --soft_assumptions                    false
% 0.21/0.44  % --reset_solvers                       false
% 0.21/0.44  % --bc_imp_inh                          []
% 0.21/0.44  % --conj_cone_tolerance                 1.5
% 0.21/0.44  % --prolific_symb_bound                 500
% 0.21/0.44  % --lt_threshold                        2000
% 0.21/0.44  
% 0.21/0.44  % ------ SAT Options
% 0.21/0.44  
% 0.21/0.44  % --sat_mode                            false
% 0.21/0.44  % --sat_fm_restart_options              ""
% 0.21/0.44  % --sat_gr_def                          false
% 0.21/0.44  % --sat_epr_types                       true
% 0.21/0.44  % --sat_non_cyclic_types                false
% 0.21/0.44  % --sat_finite_models                   false
% 0.21/0.44  % --sat_fm_lemmas                       false
% 0.21/0.44  % --sat_fm_prep                         false
% 0.21/0.44  % --sat_fm_uc_incr                      true
% 0.21/0.44  % --sat_out_model                       small
% 0.21/0.44  % --sat_out_clauses                     false
% 0.21/0.44  
% 0.21/0.44  % ------ QBF Options
% 0.21/0.44  
% 0.21/0.44  % --qbf_mode                            false
% 0.21/0.44  % --qbf_elim_univ                       true
% 0.21/0.44  % --qbf_sk_in                           true
% 0.21/0.44  % --qbf_pred_elim                       true
% 0.21/0.44  % --qbf_split                           32
% 0.21/0.44  
% 0.21/0.44  % ------ BMC1 Options
% 0.21/0.44  
% 0.21/0.44  % --bmc1_incremental                    false
% 0.21/0.44  % --bmc1_axioms                         reachable_all
% 0.21/0.44  % --bmc1_min_bound                      0
% 0.21/0.44  % --bmc1_max_bound                      -1
% 0.21/0.44  % --bmc1_max_bound_default              -1
% 0.21/0.44  % --bmc1_symbol_reachability            true
% 0.21/0.44  % --bmc1_property_lemmas                false
% 0.21/0.44  % --bmc1_k_induction                    false
% 0.21/0.44  % --bmc1_non_equiv_states               false
% 0.21/0.44  % --bmc1_deadlock                       false
% 0.21/0.44  % --bmc1_ucm                            false
% 0.21/0.44  % --bmc1_add_unsat_core                 none
% 0.21/0.44  % --bmc1_unsat_core_children            false
% 0.21/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.44  % --bmc1_out_stat                       full
% 0.21/0.44  % --bmc1_ground_init                    false
% 0.21/0.44  % --bmc1_pre_inst_next_state            false
% 0.21/0.44  % --bmc1_pre_inst_state                 false
% 0.21/0.44  % --bmc1_pre_inst_reach_state           false
% 0.21/0.44  % --bmc1_out_unsat_core                 false
% 0.21/0.44  % --bmc1_aig_witness_out                false
% 0.21/0.44  % --bmc1_verbose                        false
% 0.21/0.44  % --bmc1_dump_clauses_tptp              false
% 0.21/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.44  % --bmc1_dump_file                      -
% 0.21/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.44  % --bmc1_ucm_extend_mode                1
% 0.21/0.44  % --bmc1_ucm_init_mode                  2
% 0.21/0.44  % --bmc1_ucm_cone_mode                  none
% 0.21/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.44  % --bmc1_ucm_relax_model                4
% 0.21/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.44  % --bmc1_ucm_layered_model              none
% 0.21/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.44  
% 0.21/0.44  % ------ AIG Options
% 0.21/0.44  
% 0.21/0.44  % --aig_mode                            false
% 0.21/0.44  
% 0.21/0.44  % ------ Instantiation Options
% 0.21/0.44  
% 0.21/0.44  % --instantiation_flag                  true
% 0.21/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.44  % --inst_solver_per_active              750
% 0.21/0.44  % --inst_solver_calls_frac              0.5
% 0.21/0.44  % --inst_passive_queue_type             priority_queues
% 0.21/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.44  % --inst_passive_queues_freq            [25;2]
% 0.21/0.44  % --inst_dismatching                    true
% 0.21/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.44  % --inst_prop_sim_given                 true
% 0.21/0.44  % --inst_prop_sim_new                   false
% 0.21/0.44  % --inst_orphan_elimination             true
% 0.21/0.44  % --inst_learning_loop_flag             true
% 0.21/0.44  % --inst_learning_start                 3000
% 0.21/0.44  % --inst_learning_factor                2
% 0.21/0.44  % --inst_start_prop_sim_after_learn     3
% 0.21/0.44  % --inst_sel_renew                      solver
% 0.21/0.44  % --inst_lit_activity_flag              true
% 0.21/0.44  % --inst_out_proof                      true
% 0.21/0.44  
% 0.21/0.44  % ------ Resolution Options
% 0.21/0.44  
% 0.21/0.44  % --resolution_flag                     true
% 0.21/0.44  % --res_lit_sel                         kbo_max
% 0.21/0.44  % --res_to_prop_solver                  none
% 0.21/0.44  % --res_prop_simpl_new                  false
% 0.21/0.44  % --res_prop_simpl_given                false
% 0.21/0.44  % --res_passive_queue_type              priority_queues
% 0.21/0.44  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.44  % --res_passive_queues_freq             [15;5]
% 0.21/0.44  % --res_forward_subs                    full
% 0.21/0.44  % --res_backward_subs                   full
% 0.21/0.44  % --res_forward_subs_resolution         true
% 0.21/0.44  % --res_backward_subs_resolution        true
% 0.21/0.44  % --res_orphan_elimination              false
% 0.21/0.44  % --res_time_limit                      1000.
% 0.21/0.44  % --res_out_proof                       true
% 0.21/0.44  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_98215e.s
% 0.21/0.44  % --modulo                              true
% 0.21/0.44  
% 0.21/0.44  % ------ Combination Options
% 0.21/0.44  
% 0.21/0.44  % --comb_res_mult                       1000
% 0.21/0.44  % --comb_inst_mult                      300
% 0.21/0.44  % ------ 
% 0.21/0.44  
% 0.21/0.44  % ------ Parsing...% successful
% 0.21/0.44  
% 0.21/0.44  % ------ 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 % 
% 0.21/0.44  
% 0.21/0.44  % ------ Proving...
% 0.21/0.44  % ------ Problem Properties 
% 0.21/0.44  
% 0.21/0.44  % 
% 0.21/0.44  % EPR                                   true
% 0.21/0.44  % Horn                                  false
% 0.21/0.44  % Has equality                          false
% 0.21/0.44  
% 0.21/0.44  % % ------ Input Options Time Limit: Unbounded
% 0.21/0.44  
% 0.21/0.44  
% 0.21/0.44  % % ------ Current options:
% 0.21/0.44  
% 0.21/0.44  % ------ Input Options
% 0.21/0.44  
% 0.21/0.44  % --out_options                         all
% 0.21/0.44  % --tptp_safe_out                       true
% 0.21/0.44  % --problem_path                        ""
% 0.21/0.44  % --include_path                        ""
% 0.21/0.44  % --clausifier                          .//eprover
% 0.21/0.44  % --clausifier_options                  --tstp-format  
% 0.21/0.44  % --stdin                               false
% 0.21/0.44  % --dbg_backtrace                       false
% 0.21/0.44  % --dbg_dump_prop_clauses               false
% 0.21/0.44  % --dbg_dump_prop_clauses_file          -
% 0.21/0.44  % --dbg_out_stat                        false
% 0.21/0.44  
% 0.21/0.44  % ------ General Options
% 0.21/0.44  
% 0.21/0.44  % --fof                                 false
% 0.21/0.44  % --time_out_real                       150.
% 0.21/0.44  % --time_out_prep_mult                  0.2
% 0.21/0.44  % --time_out_virtual                    -1.
% 0.21/0.44  % --schedule                            none
% 0.21/0.44  % --ground_splitting                    input
% 0.21/0.44  % --splitting_nvd                       16
% 0.21/0.44  % --non_eq_to_eq                        false
% 0.21/0.44  % --prep_gs_sim                         true
% 0.21/0.44  % --prep_unflatten                      false
% 0.21/0.44  % --prep_res_sim                        true
% 0.21/0.44  % --prep_upred                          true
% 0.21/0.44  % --res_sim_input                       true
% 0.21/0.44  % --clause_weak_htbl                    true
% 0.21/0.44  % --gc_record_bc_elim                   false
% 0.21/0.44  % --symbol_type_check                   false
% 0.21/0.44  % --clausify_out                        false
% 0.21/0.44  % --large_theory_mode                   false
% 0.21/0.44  % --prep_sem_filter                     none
% 0.21/0.44  % --prep_sem_filter_out                 false
% 0.21/0.44  % --preprocessed_out                    false
% 0.21/0.44  % --sub_typing                          false
% 0.21/0.44  % --brand_transform                     false
% 0.21/0.44  % --pure_diseq_elim                     true
% 0.21/0.44  % --min_unsat_core                      false
% 0.21/0.44  % --pred_elim                           true
% 0.21/0.44  % --add_important_lit                   false
% 0.21/0.44  % --soft_assumptions                    false
% 0.21/0.44  % --reset_solvers                       false
% 0.21/0.44  % --bc_imp_inh                          []
% 0.21/0.44  % --conj_cone_tolerance                 1.5
% 0.21/0.44  % --prolific_symb_bound                 500
% 0.21/0.44  % --lt_threshold                        2000
% 0.21/0.44  
% 0.21/0.44  % ------ SAT Options
% 0.21/0.44  
% 0.21/0.44  % --sat_mode                            false
% 0.21/0.44  % --sat_fm_restart_options              ""
% 0.21/0.44  % --sat_gr_def                          false
% 0.21/0.44  % --sat_epr_types                       true
% 0.21/0.44  % --sat_non_cyclic_types                false
% 0.21/0.44  % --sat_finite_models                   false
% 0.21/0.44  % --sat_fm_lemmas                       false
% 0.21/0.44  % --sat_fm_prep                         false
% 0.21/0.44  % --sat_fm_uc_incr                      true
% 0.21/0.44  % --sat_out_model                       small
% 0.21/0.44  % --sat_out_clauses                     false
% 0.21/0.44  
% 0.21/0.44  % ------ QBF Options
% 0.21/0.44  
% 0.21/0.44  % --qbf_mode                            false
% 0.21/0.44  % --qbf_elim_univ                       true
% 0.21/0.44  % --qbf_sk_in                           true
% 0.21/0.44  % --qbf_pred_elim                       true
% 0.21/0.44  % --qbf_split                           32
% 0.21/0.44  
% 0.21/0.44  % ------ BMC1 Options
% 0.21/0.44  
% 0.21/0.44  % --bmc1_incremental                    false
% 0.21/0.44  % --bmc1_axioms                         reachable_all
% 0.21/0.44  % --bmc1_min_bound                      0
% 0.21/0.44  % --bmc1_max_bound                      -1
% 0.21/0.44  % --bmc1_max_bound_default              -1
% 0.21/0.44  % --bmc1_symbol_reachability            true
% 0.21/0.44  % --bmc1_property_lemmas                false
% 0.21/0.44  % --bmc1_k_induction                    false
% 0.21/0.44  % --bmc1_non_equiv_states               false
% 0.21/0.44  % --bmc1_deadlock                       false
% 0.21/0.44  % --bmc1_ucm                            false
% 0.21/0.44  % --bmc1_add_unsat_core                 none
% 0.21/0.44  % --bmc1_unsat_core_children            false
% 0.21/0.44  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.21/0.44  % --bmc1_out_stat                       full
% 0.21/0.44  % --bmc1_ground_init                    false
% 0.21/0.44  % --bmc1_pre_inst_next_state            false
% 0.21/0.44  % --bmc1_pre_inst_state                 false
% 0.21/0.44  % --bmc1_pre_inst_reach_state           false
% 0.21/0.44  % --bmc1_out_unsat_core                 false
% 0.21/0.44  % --bmc1_aig_witness_out                false
% 0.21/0.44  % --bmc1_verbose                        false
% 0.21/0.44  % --bmc1_dump_clauses_tptp              false
% 0.21/0.44  % --bmc1_dump_unsat_core_tptp           false
% 0.21/0.44  % --bmc1_dump_file                      -
% 0.21/0.44  % --bmc1_ucm_expand_uc_limit            128
% 0.21/0.44  % --bmc1_ucm_n_expand_iterations        6
% 0.21/0.44  % --bmc1_ucm_extend_mode                1
% 0.21/0.44  % --bmc1_ucm_init_mode                  2
% 0.21/0.44  % --bmc1_ucm_cone_mode                  none
% 0.21/0.44  % --bmc1_ucm_reduced_relation_type      0
% 0.21/0.44  % --bmc1_ucm_relax_model                4
% 0.21/0.44  % --bmc1_ucm_full_tr_after_sat          true
% 0.21/0.44  % --bmc1_ucm_expand_neg_assumptions     false
% 0.21/0.44  % --bmc1_ucm_layered_model              none
% 0.21/0.44  % --bmc1_ucm_max_lemma_size             10
% 0.21/0.44  
% 0.21/0.44  % ------ AIG Options
% 0.21/0.44  
% 0.21/0.44  % --aig_mode                            false
% 0.21/0.44  
% 0.21/0.44  % ------ Instantiation Options
% 0.21/0.44  
% 0.21/0.44  % --instantiation_flag                  true
% 0.21/0.44  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.44  % --inst_solver_per_active              750
% 0.21/0.44  % --inst_solver_calls_frac              0.5
% 0.21/0.44  % --inst_passive_queue_type             priority_queues
% 0.21/0.44  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.44  % --inst_passive_queues_freq            [25;2]
% 0.21/0.44  % --inst_dismatching                    true
% 0.21/0.44  % --inst_eager_unprocessed_to_passive   true
% 0.21/0.44  % --inst_prop_sim_given                 true
% 31.65/31.83  % --inst_prop_sim_new                   false
% 31.65/31.83  % --inst_orphan_elimination             true
% 31.65/31.83  % --inst_learning_loop_flag             true
% 31.65/31.83  % --inst_learning_start                 3000
% 31.65/31.83  % --inst_learning_factor                2
% 31.65/31.83  % --inst_start_prop_sim_after_learn     3
% 31.65/31.83  % --inst_sel_renew                      solver
% 31.65/31.83  % --inst_lit_activity_flag              true
% 31.65/31.83  % --inst_out_proof                      true
% 31.65/31.83  
% 31.65/31.83  % ------ Resolution Options
% 31.65/31.83  
% 31.65/31.83  % --resolution_flag                     true
% 31.65/31.83  % --res_lit_sel                         kbo_max
% 31.65/31.83  % --res_to_prop_solver                  none
% 31.65/31.83  % --res_prop_simpl_new                  false
% 31.65/31.83  % --res_prop_simpl_given                false
% 31.65/31.83  % --res_passive_queue_type              priority_queues
% 31.65/31.83  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 31.65/31.83  % --res_passive_queues_freq             [15;5]
% 31.65/31.83  % --res_forward_subs                    full
% 31.65/31.83  % --res_backward_subs                   full
% 31.65/31.83  % --res_forward_subs_resolution         true
% 31.65/31.83  % --res_backward_subs_resolution        true
% 31.65/31.83  % --res_orphan_elimination              false
% 31.65/31.83  % --res_time_limit                      1000.
% 31.65/31.83  % --res_out_proof                       true
% 31.65/31.83  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_98215e.s
% 31.65/31.83  % --modulo                              true
% 31.65/31.83  
% 31.65/31.83  % ------ Combination Options
% 31.65/31.83  
% 31.65/31.83  % --comb_res_mult                       1000
% 31.65/31.83  % --comb_inst_mult                      300
% 31.65/31.83  % ------ 
% 31.65/31.83  
% 31.65/31.83  
% 31.65/31.83  
% 31.65/31.83  % ------ Proving...
% 31.65/31.83  % warning:  shown sat in sat incomplete mode 
% 31.65/31.83  % 
% 31.65/31.83  
% 31.65/31.83  
% 31.65/31.83  ------ Building Model...Done
% 31.65/31.83  
% 31.65/31.83  %------ The model is defined over ground terms (initial term algebra).
% 31.65/31.83  %------ Predicates are defined as (\forall x_1,..,x_n  ((~)P(x_1,..,x_n) <=> (\phi(x_1,..,x_n)))) 
% 31.65/31.83  %------ where \phi is a formula over the term algebra.
% 31.65/31.83  %------ If we have equality in the problem then it is also defined as a predicate above, 
% 31.65/31.83  %------ with "=" on the right-hand-side of the definition interpreted over the term algebra term_algebra_type
% 31.65/31.83  %------ See help for --sat_out_model for different model outputs.
% 31.65/31.83  %------ equality_sorted(X0,X1,X2) can be used in the place of usual "="
% 31.65/31.83  %------ where the first argument stands for the sort ($i in the unsorted case)
% 31.65/31.83  
% 31.65/31.83  
% 31.65/31.83  
% 31.65/31.83  
% 31.65/31.83  %------ Positive definition of product 
% 31.65/31.83  fof(lit_def,axiom,
% 31.65/31.83      (! [X0,X1,X2] : 
% 31.65/31.83        ( product(X0,X1,X2) <=>
% 31.65/31.83             (
% 31.65/31.83                (
% 31.65/31.83                  ( X0!=e_1 | X1!=e_3 | X2!=e_4 )
% 31.65/31.83                 &
% 31.65/31.83                  ( X0!=e_1 | X2!=e_2 )
% 31.65/31.83                 &
% 31.65/31.83                  ( X0!=e_1 | X2!=e_3 )
% 31.65/31.83                 &
% 31.65/31.83                  ( X0!=e_1 | X2!=e_4 )
% 31.65/31.83                 &
% 31.65/31.83                  ( X0!=e_2 )
% 31.65/31.83                 &
% 31.65/31.83                  ( X0!=e_2 | X1!=e_2 | X2!=e_3 )
% 31.65/31.83                 &
% 31.65/31.83                  ( X0!=e_3 )
% 31.65/31.83                 &
% 31.65/31.83                  ( X0!=e_3 | X2!=e_2 )
% 31.65/31.83                 &
% 31.65/31.83                  ( X0!=e_3 | X2!=e_4 )
% 31.65/31.83                 &
% 31.65/31.83                  ( X0!=e_4 )
% 31.65/31.83                 &
% 31.65/31.83                  ( X0!=e_4 | X2!=e_3 )
% 31.65/31.83                 &
% 31.65/31.83                  ( X1!=e_2 )
% 31.65/31.83                 &
% 31.65/31.83                  ( X1!=e_2 | X2!=e_3 )
% 31.65/31.83                 &
% 31.65/31.83                  ( X1!=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X1!=e_3 | X2!=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X1!=e_3 | X2!=e_4 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X1!=e_4 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X1!=e_4 | X2!=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X1!=e_4 | X2!=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X2!=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X2!=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X2!=e_4 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_1 & X1=e_2 & X2=e_4 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_1 & X1=e_3 & X2=e_2 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_1 & X1=e_4 & X2=e_3 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_2 & X1=e_2 & X2=e_2 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_2 & X1=e_3 & X2=e_4 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_2 & X1=e_4 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X2!=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X2!=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X2!=e_4 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_2 & X1=e_4 & X2=e_1 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_2 & X2=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X1!=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X1!=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X1!=e_4 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_3 & X1=e_1 & X2=e_4 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_3 & X1=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X2!=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X2!=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X2!=e_4 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_3 & X1=e_2 & X2=e_1 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_3 & X1=e_3 & X2=e_3 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_3 & X1=e_4 & X2=e_2 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_3 & X2=e_4 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X1!=e_1 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X1!=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X1!=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X1!=e_4 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_4 & X1=e_1 & X2=e_2 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_4 & X1=e_2 & X2=e_3 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_4 & X1=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X2!=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X2!=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X2!=e_4 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_4 & X1=e_3 & X2=e_1 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_4 & X1=e_4 & X2=e_4 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_4 & X2=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X1!=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X1!=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X1!=e_4 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X1=X0 & X2=X0 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_4 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X1=e_2 & X2=e_4 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_1 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_4 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X1=e_3 & X2=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_1 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_4 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X1=e_4 & X2=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_1 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_4 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X2=e_1 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_1 | X1!=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_1 | X1!=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_1 | X1!=e_4 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_2 | X1!=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_3 | X1!=e_1 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_3 | X1!=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_3 | X1!=e_4 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_4 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X0!=e_4 | X1!=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X1!=e_2 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X1!=e_3 )
% 31.65/31.84                 &
% 31.65/31.84                  ( X1!=e_4 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84             )
% 31.65/31.84        )
% 31.65/31.84      )
% 31.65/31.84     ).
% 31.65/31.84  
% 31.65/31.84  %------ Negative definition of group_element 
% 31.65/31.84  fof(lit_def,axiom,
% 31.65/31.84      (! [X0] : 
% 31.65/31.84        ( ~(group_element(X0)) <=>
% 31.65/31.84            $false
% 31.65/31.84        )
% 31.65/31.84      )
% 31.65/31.84     ).
% 31.65/31.84  
% 31.65/31.84  %------ Negative definition of equalish 
% 31.65/31.84  fof(lit_def,axiom,
% 31.65/31.84      (! [X0,X1] : 
% 31.65/31.84        ( ~(equalish(X0,X1)) <=>
% 31.65/31.84             (
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_1 & X1=e_2 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_1 & X1=e_3 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_1 & X1=e_4 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_2 & X1=e_1 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_2 & X1=e_3 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_2 & X1=e_4 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_3 & X1=e_1 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_3 & X1=e_2 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_3 & X1=e_4 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_4 & X1=e_1 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_4 & X1=e_2 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84               | 
% 31.65/31.84                (
% 31.65/31.84                  ( X0=e_4 & X1=e_3 )
% 31.65/31.84                )
% 31.65/31.84  
% 31.65/31.84             )
% 31.65/31.84        )
% 31.65/31.84      )
% 31.65/31.84     ).
% 31.65/31.84  
% 31.65/31.84  
% 31.65/31.84  
% 31.65/31.84  % ------                             Statistics
% 31.65/31.84  
% 31.65/31.84  % ------ General
% 31.65/31.84  
% 31.65/31.84  % num_of_input_clauses:                 33
% 31.65/31.84  % num_of_input_neg_conjectures:         1
% 31.65/31.84  % num_of_splits:                        0
% 31.65/31.84  % num_of_split_atoms:                   0
% 31.65/31.84  % num_of_sem_filtered_clauses:          0
% 31.65/31.84  % num_of_subtypes:                      0
% 31.65/31.84  % monotx_restored_types:                0
% 31.65/31.84  % sat_num_of_epr_types:                 0
% 31.65/31.84  % sat_num_of_non_cyclic_types:          0
% 31.65/31.84  % sat_guarded_non_collapsed_types:      0
% 31.65/31.84  % is_epr:                               1
% 31.65/31.84  % is_horn:                              0
% 31.65/31.84  % has_eq:                               0
% 31.65/31.84  % num_pure_diseq_elim:                  0
% 31.65/31.84  % simp_replaced_by:                     0
% 31.65/31.84  % res_preprocessed:                     2
% 31.65/31.84  % prep_upred:                           0
% 31.65/31.84  % prep_unflattend:                      0
% 31.65/31.84  % pred_elim_cands:                      0
% 31.65/31.84  % pred_elim:                            0
% 31.65/31.84  % pred_elim_cl:                         0
% 31.65/31.84  % pred_elim_cycles:                     0
% 31.65/31.84  % forced_gc_time:                       0
% 31.65/31.84  % gc_basic_clause_elim:                 0
% 31.65/31.84  % parsing_time:                         0.001
% 31.65/31.84  % sem_filter_time:                      0.
% 31.65/31.84  % pred_elim_time:                       0.
% 31.65/31.84  % out_proof_time:                       0.
% 31.65/31.84  % monotx_time:                          0.
% 31.65/31.84  % subtype_inf_time:                     0.
% 31.65/31.84  % unif_index_cands_time:                0.024
% 31.65/31.84  % unif_index_add_time:                  0.006
% 31.65/31.84  % total_time:                           31.411
% 31.65/31.84  % num_of_symbols:                       32
% 31.65/31.84  % num_of_terms:                         793
% 31.65/31.84  
% 31.65/31.84  % ------ Propositional Solver
% 31.65/31.84  
% 31.65/31.84  % prop_solver_calls:                    10
% 31.65/31.84  % prop_fast_solver_calls:               9
% 31.65/31.84  % prop_num_of_clauses:                  898
% 31.65/31.84  % prop_preprocess_simplified:           1250
% 31.65/31.84  % prop_fo_subsumed:                     0
% 31.65/31.84  % prop_solver_time:                     0.
% 31.65/31.84  % prop_fast_solver_time:                0.
% 31.65/31.84  % prop_unsat_core_time:                 0.
% 31.65/31.84  
% 31.65/31.84  % ------ QBF 
% 31.65/31.84  
% 31.65/31.84  % qbf_q_res:                            0
% 31.65/31.84  % qbf_num_tautologies:                  0
% 31.65/31.84  % qbf_prep_cycles:                      0
% 31.65/31.84  
% 31.65/31.84  % ------ BMC1
% 31.65/31.84  
% 31.65/31.84  % bmc1_current_bound:                   -1
% 31.65/31.84  % bmc1_last_solved_bound:               -1
% 31.65/31.84  % bmc1_unsat_core_size:                 -1
% 31.65/31.84  % bmc1_unsat_core_parents_size:         -1
% 31.65/31.84  % bmc1_merge_next_fun:                  0
% 31.65/31.84  % bmc1_unsat_core_clauses_time:         0.
% 31.65/31.84  
% 31.65/31.84  % ------ Instantiation
% 31.65/31.84  
% 31.65/31.84  % inst_num_of_clauses:                  728
% 31.65/31.84  % inst_num_in_passive:                  0
% 31.65/31.84  % inst_num_in_active:                   719
% 31.65/31.84  % inst_num_in_unprocessed:              0
% 31.65/31.84  % inst_num_of_loops:                    821
% 31.65/31.84  % inst_num_of_learning_restarts:        0
% 31.65/31.84  % inst_num_moves_active_passive:        88
% 31.65/31.84  % inst_lit_activity:                    109
% 31.65/31.84  % inst_lit_activity_moves:              0
% 31.65/31.84  % inst_num_tautologies:                 9
% 31.65/31.84  % inst_num_prop_implied:                0
% 31.65/31.84  % inst_num_existing_simplified:         0
% 31.65/31.84  % inst_num_eq_res_simplified:           0
% 31.65/31.84  % inst_num_child_elim:                  0
% 31.65/31.84  % inst_num_of_dismatching_blockings:    319
% 31.65/31.84  % inst_num_of_non_proper_insts:         2987
% 31.65/31.84  % inst_num_of_duplicates:               1381
% 31.65/31.84  % inst_inst_num_from_inst_to_res:       0
% 31.65/31.84  % inst_dismatching_checking_time:       0.001
% 31.65/31.84  
% 31.65/31.84  % ------ Resolution
% 31.65/31.84  
% 31.65/31.84  % res_num_of_clauses:                   126490
% 31.65/31.84  % res_num_in_passive:                   126870
% 31.65/31.84  % res_num_in_active:                    1395
% 31.65/31.84  % res_num_of_loops:                     3000
% 31.65/31.84  % res_forward_subset_subsumed:          417478
% 31.65/31.84  % res_backward_subset_subsumed:         1811
% 31.65/31.84  % res_forward_subsumed:                 1479
% 31.65/31.84  % res_backward_subsumed:                71
% 31.65/31.84  % res_forward_subsumption_resolution:   155
% 31.65/31.84  % res_backward_subsumption_resolution:  31
% 31.65/31.84  % res_clause_to_clause_subsumption:     671639
% 31.65/31.84  % res_orphan_elimination:               0
% 31.65/31.84  % res_tautology_del:                    20
% 31.65/31.84  % res_num_eq_res_simplified:            0
% 31.65/31.84  % res_num_sel_changes:                  0
% 31.65/31.84  % res_moves_from_active_to_pass:        0
% 31.65/31.84  
% 31.65/31.84  % Status Unknown
% 31.65/31.87  % Orienting using strategy ClausalAll
% 31.65/31.87  % Orientation found
% 31.65/31.87  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_98215e.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_97c1ba | grep -v "SZS"
% 31.71/31.89  
% 31.71/31.89  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 31.71/31.89  
% 31.71/31.89  % 
% 31.71/31.89  % ------  iProver source info 
% 31.71/31.89  
% 31.71/31.89  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 31.71/31.89  % git: non_committed_changes: true
% 31.71/31.89  % git: last_make_outside_of_git: true
% 31.71/31.89  
% 31.71/31.89  % 
% 31.71/31.89  % ------ Input Options
% 31.71/31.89  
% 31.71/31.89  % --out_options                         all
% 31.71/31.89  % --tptp_safe_out                       true
% 31.71/31.89  % --problem_path                        ""
% 31.71/31.89  % --include_path                        ""
% 31.71/31.89  % --clausifier                          .//eprover
% 31.71/31.89  % --clausifier_options                  --tstp-format  
% 31.71/31.89  % --stdin                               false
% 31.71/31.89  % --dbg_backtrace                       false
% 31.71/31.89  % --dbg_dump_prop_clauses               false
% 31.71/31.89  % --dbg_dump_prop_clauses_file          -
% 31.71/31.89  % --dbg_out_stat                        false
% 31.71/31.89  
% 31.71/31.89  % ------ General Options
% 31.71/31.89  
% 31.71/31.89  % --fof                                 false
% 31.71/31.89  % --time_out_real                       150.
% 31.71/31.89  % --time_out_prep_mult                  0.2
% 31.71/31.89  % --time_out_virtual                    -1.
% 31.71/31.89  % --schedule                            none
% 31.71/31.89  % --ground_splitting                    input
% 31.71/31.89  % --splitting_nvd                       16
% 31.71/31.89  % --non_eq_to_eq                        false
% 31.71/31.89  % --prep_gs_sim                         true
% 31.71/31.89  % --prep_unflatten                      false
% 31.71/31.89  % --prep_res_sim                        true
% 31.71/31.89  % --prep_upred                          true
% 31.71/31.89  % --res_sim_input                       true
% 31.71/31.89  % --clause_weak_htbl                    true
% 31.71/31.89  % --gc_record_bc_elim                   false
% 31.71/31.89  % --symbol_type_check                   false
% 31.71/31.89  % --clausify_out                        false
% 31.71/31.89  % --large_theory_mode                   false
% 31.71/31.89  % --prep_sem_filter                     none
% 31.71/31.89  % --prep_sem_filter_out                 false
% 31.71/31.89  % --preprocessed_out                    false
% 31.71/31.89  % --sub_typing                          false
% 31.71/31.89  % --brand_transform                     false
% 31.71/31.89  % --pure_diseq_elim                     true
% 31.71/31.89  % --min_unsat_core                      false
% 31.71/31.89  % --pred_elim                           true
% 31.71/31.89  % --add_important_lit                   false
% 31.71/31.89  % --soft_assumptions                    false
% 31.71/31.89  % --reset_solvers                       false
% 31.71/31.89  % --bc_imp_inh                          []
% 31.71/31.89  % --conj_cone_tolerance                 1.5
% 31.71/31.89  % --prolific_symb_bound                 500
% 31.71/31.89  % --lt_threshold                        2000
% 31.71/31.89  
% 31.71/31.89  % ------ SAT Options
% 31.71/31.89  
% 31.71/31.89  % --sat_mode                            false
% 31.71/31.89  % --sat_fm_restart_options              ""
% 31.71/31.89  % --sat_gr_def                          false
% 31.71/31.89  % --sat_epr_types                       true
% 31.71/31.89  % --sat_non_cyclic_types                false
% 31.71/31.89  % --sat_finite_models                   false
% 31.71/31.89  % --sat_fm_lemmas                       false
% 31.71/31.89  % --sat_fm_prep                         false
% 31.71/31.89  % --sat_fm_uc_incr                      true
% 31.71/31.89  % --sat_out_model                       small
% 31.71/31.89  % --sat_out_clauses                     false
% 31.71/31.89  
% 31.71/31.89  % ------ QBF Options
% 31.71/31.89  
% 31.71/31.89  % --qbf_mode                            false
% 31.71/31.89  % --qbf_elim_univ                       true
% 31.71/31.89  % --qbf_sk_in                           true
% 31.71/31.89  % --qbf_pred_elim                       true
% 31.71/31.89  % --qbf_split                           32
% 31.71/31.89  
% 31.71/31.89  % ------ BMC1 Options
% 31.71/31.89  
% 31.71/31.89  % --bmc1_incremental                    false
% 31.71/31.89  % --bmc1_axioms                         reachable_all
% 31.71/31.89  % --bmc1_min_bound                      0
% 31.71/31.89  % --bmc1_max_bound                      -1
% 31.71/31.89  % --bmc1_max_bound_default              -1
% 31.71/31.89  % --bmc1_symbol_reachability            true
% 31.71/31.89  % --bmc1_property_lemmas                false
% 31.71/31.89  % --bmc1_k_induction                    false
% 31.71/31.89  % --bmc1_non_equiv_states               false
% 31.71/31.89  % --bmc1_deadlock                       false
% 31.71/31.89  % --bmc1_ucm                            false
% 31.71/31.89  % --bmc1_add_unsat_core                 none
% 31.71/31.89  % --bmc1_unsat_core_children            false
% 31.71/31.89  % --bmc1_unsat_core_extrapolate_axioms  false
% 31.71/31.89  % --bmc1_out_stat                       full
% 31.71/31.89  % --bmc1_ground_init                    false
% 31.71/31.89  % --bmc1_pre_inst_next_state            false
% 31.71/31.89  % --bmc1_pre_inst_state                 false
% 31.71/31.89  % --bmc1_pre_inst_reach_state           false
% 31.71/31.89  % --bmc1_out_unsat_core                 false
% 31.71/31.89  % --bmc1_aig_witness_out                false
% 31.71/31.89  % --bmc1_verbose                        false
% 31.71/31.89  % --bmc1_dump_clauses_tptp              false
% 31.71/31.89  % --bmc1_dump_unsat_core_tptp           false
% 31.71/31.89  % --bmc1_dump_file                      -
% 31.71/31.89  % --bmc1_ucm_expand_uc_limit            128
% 31.71/31.89  % --bmc1_ucm_n_expand_iterations        6
% 31.71/31.89  % --bmc1_ucm_extend_mode                1
% 31.71/31.89  % --bmc1_ucm_init_mode                  2
% 31.71/31.89  % --bmc1_ucm_cone_mode                  none
% 31.71/31.89  % --bmc1_ucm_reduced_relation_type      0
% 31.71/31.89  % --bmc1_ucm_relax_model                4
% 31.71/31.89  % --bmc1_ucm_full_tr_after_sat          true
% 31.71/31.89  % --bmc1_ucm_expand_neg_assumptions     false
% 31.71/31.89  % --bmc1_ucm_layered_model              none
% 31.71/31.89  % --bmc1_ucm_max_lemma_size             10
% 31.71/31.89  
% 31.71/31.89  % ------ AIG Options
% 31.71/31.89  
% 31.71/31.89  % --aig_mode                            false
% 31.71/31.89  
% 31.71/31.89  % ------ Instantiation Options
% 31.71/31.89  
% 31.71/31.89  % --instantiation_flag                  true
% 31.71/31.89  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 31.71/31.89  % --inst_solver_per_active              750
% 31.71/31.89  % --inst_solver_calls_frac              0.5
% 31.71/31.89  % --inst_passive_queue_type             priority_queues
% 31.71/31.89  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 31.71/31.89  % --inst_passive_queues_freq            [25;2]
% 31.71/31.89  % --inst_dismatching                    true
% 31.71/31.89  % --inst_eager_unprocessed_to_passive   true
% 31.71/31.89  % --inst_prop_sim_given                 true
% 31.71/31.89  % --inst_prop_sim_new                   false
% 31.71/31.89  % --inst_orphan_elimination             true
% 31.71/31.89  % --inst_learning_loop_flag             true
% 31.71/31.89  % --inst_learning_start                 3000
% 31.71/31.89  % --inst_learning_factor                2
% 31.71/31.89  % --inst_start_prop_sim_after_learn     3
% 31.71/31.89  % --inst_sel_renew                      solver
% 31.71/31.89  % --inst_lit_activity_flag              true
% 31.71/31.89  % --inst_out_proof                      true
% 31.71/31.89  
% 31.71/31.89  % ------ Resolution Options
% 31.71/31.89  
% 31.71/31.89  % --resolution_flag                     true
% 31.71/31.89  % --res_lit_sel                         kbo_max
% 31.71/31.89  % --res_to_prop_solver                  none
% 31.71/31.89  % --res_prop_simpl_new                  false
% 31.71/31.89  % --res_prop_simpl_given                false
% 31.71/31.89  % --res_passive_queue_type              priority_queues
% 31.71/31.89  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 31.71/31.89  % --res_passive_queues_freq             [15;5]
% 31.71/31.89  % --res_forward_subs                    full
% 31.71/31.89  % --res_backward_subs                   full
% 31.71/31.89  % --res_forward_subs_resolution         true
% 31.71/31.89  % --res_backward_subs_resolution        true
% 31.71/31.89  % --res_orphan_elimination              false
% 31.71/31.89  % --res_time_limit                      1000.
% 31.71/31.89  % --res_out_proof                       true
% 31.71/31.89  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_98215e.s
% 31.71/31.89  % --modulo                              true
% 31.71/31.89  
% 31.71/31.89  % ------ Combination Options
% 31.71/31.89  
% 31.71/31.89  % --comb_res_mult                       1000
% 31.71/31.89  % --comb_inst_mult                      300
% 31.71/31.89  % ------ 
% 31.71/31.89  
% 31.71/31.89  % ------ Parsing...% successful
% 31.71/31.89  
% 31.71/31.89  % ------ 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 % 
% 31.71/31.89  
% 31.71/31.89  % ------ Proving...
% 31.71/31.89  % ------ Problem Properties 
% 31.71/31.89  
% 31.71/31.89  % 
% 31.71/31.89  % EPR                                   true
% 31.71/31.89  % Horn                                  false
% 31.71/31.89  % Has equality                          false
% 31.71/31.89  
% 31.71/31.89  % % ------ Input Options Time Limit: Unbounded
% 31.71/31.90  
% 31.71/31.90  
% 31.71/31.90  % % ------ Current options:
% 31.71/31.90  
% 31.71/31.90  % ------ Input Options
% 31.71/31.90  
% 31.71/31.90  % --out_options                         all
% 31.71/31.90  % --tptp_safe_out                       true
% 31.71/31.90  % --problem_path                        ""
% 31.71/31.90  % --include_path                        ""
% 31.71/31.90  % --clausifier                          .//eprover
% 31.71/31.90  % --clausifier_options                  --tstp-format  
% 31.71/31.90  % --stdin                               false
% 31.71/31.90  % --dbg_backtrace                       false
% 31.71/31.90  % --dbg_dump_prop_clauses               false
% 31.71/31.90  % --dbg_dump_prop_clauses_file          -
% 31.71/31.90  % --dbg_out_stat                        false
% 31.71/31.90  
% 31.71/31.90  % ------ General Options
% 31.71/31.90  
% 31.71/31.90  % --fof                                 false
% 31.71/31.90  % --time_out_real                       150.
% 31.71/31.90  % --time_out_prep_mult                  0.2
% 31.71/31.90  % --time_out_virtual                    -1.
% 31.71/31.90  % --schedule                            none
% 31.71/31.90  % --ground_splitting                    input
% 31.71/31.90  % --splitting_nvd                       16
% 31.71/31.90  % --non_eq_to_eq                        false
% 31.71/31.90  % --prep_gs_sim                         true
% 31.71/31.90  % --prep_unflatten                      false
% 31.71/31.90  % --prep_res_sim                        true
% 31.71/31.90  % --prep_upred                          true
% 31.71/31.90  % --res_sim_input                       true
% 31.71/31.90  % --clause_weak_htbl                    true
% 31.71/31.90  % --gc_record_bc_elim                   false
% 31.71/31.90  % --symbol_type_check                   false
% 31.71/31.90  % --clausify_out                        false
% 31.71/31.90  % --large_theory_mode                   false
% 31.71/31.90  % --prep_sem_filter                     none
% 31.71/31.90  % --prep_sem_filter_out                 false
% 31.71/31.90  % --preprocessed_out                    false
% 31.71/31.90  % --sub_typing                          false
% 31.71/31.90  % --brand_transform                     false
% 31.71/31.90  % --pure_diseq_elim                     true
% 31.71/31.90  % --min_unsat_core                      false
% 31.71/31.90  % --pred_elim                           true
% 31.71/31.90  % --add_important_lit                   false
% 31.71/31.90  % --soft_assumptions                    false
% 31.71/31.90  % --reset_solvers                       false
% 31.71/31.90  % --bc_imp_inh                          []
% 31.71/31.90  % --conj_cone_tolerance                 1.5
% 31.71/31.90  % --prolific_symb_bound                 500
% 31.71/31.90  % --lt_threshold                        2000
% 31.71/31.90  
% 31.71/31.90  % ------ SAT Options
% 31.71/31.90  
% 31.71/31.90  % --sat_mode                            false
% 31.71/31.90  % --sat_fm_restart_options              ""
% 31.71/31.90  % --sat_gr_def                          false
% 31.71/31.90  % --sat_epr_types                       true
% 31.71/31.90  % --sat_non_cyclic_types                false
% 31.71/31.90  % --sat_finite_models                   false
% 31.71/31.90  % --sat_fm_lemmas                       false
% 31.71/31.90  % --sat_fm_prep                         false
% 31.71/31.90  % --sat_fm_uc_incr                      true
% 31.71/31.90  % --sat_out_model                       small
% 31.71/31.90  % --sat_out_clauses                     false
% 31.71/31.90  
% 31.71/31.90  % ------ QBF Options
% 31.71/31.90  
% 31.71/31.90  % --qbf_mode                            false
% 31.71/31.90  % --qbf_elim_univ                       true
% 31.71/31.90  % --qbf_sk_in                           true
% 31.71/31.90  % --qbf_pred_elim                       true
% 31.71/31.90  % --qbf_split                           32
% 31.71/31.90  
% 31.71/31.90  % ------ BMC1 Options
% 31.71/31.90  
% 31.71/31.90  % --bmc1_incremental                    false
% 31.71/31.90  % --bmc1_axioms                         reachable_all
% 31.71/31.90  % --bmc1_min_bound                      0
% 31.71/31.90  % --bmc1_max_bound                      -1
% 31.71/31.90  % --bmc1_max_bound_default              -1
% 31.71/31.90  % --bmc1_symbol_reachability            true
% 31.71/31.90  % --bmc1_property_lemmas                false
% 31.71/31.90  % --bmc1_k_induction                    false
% 31.71/31.90  % --bmc1_non_equiv_states               false
% 31.71/31.90  % --bmc1_deadlock                       false
% 31.71/31.90  % --bmc1_ucm                            false
% 31.71/31.90  % --bmc1_add_unsat_core                 none
% 31.71/31.90  % --bmc1_unsat_core_children            false
% 31.71/31.90  % --bmc1_unsat_core_extrapolate_axioms  false
% 31.71/31.90  % --bmc1_out_stat                       full
% 31.71/31.90  % --bmc1_ground_init                    false
% 31.71/31.90  % --bmc1_pre_inst_next_state            false
% 31.71/31.90  % --bmc1_pre_inst_state                 false
% 31.71/31.90  % --bmc1_pre_inst_reach_state           false
% 31.71/31.90  % --bmc1_out_unsat_core                 false
% 31.71/31.90  % --bmc1_aig_witness_out                false
% 31.71/31.90  % --bmc1_verbose                        false
% 31.71/31.90  % --bmc1_dump_clauses_tptp              false
% 31.71/31.90  % --bmc1_dump_unsat_core_tptp           false
% 31.71/31.90  % --bmc1_dump_file                      -
% 31.71/31.90  % --bmc1_ucm_expand_uc_limit            128
% 31.71/31.90  % --bmc1_ucm_n_expand_iterations        6
% 31.71/31.90  % --bmc1_ucm_extend_mode                1
% 31.71/31.90  % --bmc1_ucm_init_mode                  2
% 31.71/31.90  % --bmc1_ucm_cone_mode                  none
% 31.71/31.90  % --bmc1_ucm_reduced_relation_type      0
% 31.71/31.90  % --bmc1_ucm_relax_model                4
% 31.71/31.90  % --bmc1_ucm_full_tr_after_sat          true
% 31.71/31.90  % --bmc1_ucm_expand_neg_assumptions     false
% 31.71/31.90  % --bmc1_ucm_layered_model              none
% 31.71/31.90  % --bmc1_ucm_max_lemma_size             10
% 31.71/31.90  
% 31.71/31.90  % ------ AIG Options
% 31.71/31.90  
% 31.71/31.90  % --aig_mode                            false
% 31.71/31.90  
% 31.71/31.90  % ------ Instantiation Options
% 31.71/31.90  
% 31.71/31.90  % --instantiation_flag                  true
% 31.71/31.90  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 31.71/31.90  % --inst_solver_per_active              750
% 31.71/31.90  % --inst_solver_calls_frac              0.5
% 31.71/31.90  % --inst_passive_queue_type             priority_queues
% 31.71/31.90  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 31.71/31.90  % --inst_passive_queues_freq            [25;2]
% 31.71/31.90  % --inst_dismatching                    true
% 31.71/31.90  % --inst_eager_unprocessed_to_passive   true
% 31.71/31.90  % --inst_prop_sim_given                 true
% 31.71/31.90  % --inst_prop_sim_new                   false
% 31.71/31.90  % --inst_orphan_elimination             true
% 31.71/31.90  % --inst_learning_loop_flag             true
% 31.71/31.90  % --inst_learning_start                 3000
% 31.71/31.90  % --inst_learning_factor                2
% 31.71/31.90  % --inst_start_prop_sim_after_learn     3
% 31.71/31.90  % --inst_sel_renew                      solver
% 31.71/31.90  % --inst_lit_activity_flag              true
% 31.71/31.90  % --inst_out_proof                      true
% 31.71/31.90  
% 31.71/31.90  % ------ Resolution Options
% 31.71/31.90  
% 31.71/31.90  % --resolution_flag                     true
% 31.71/31.90  % --res_lit_sel                         kbo_max
% 31.71/31.90  % --res_to_prop_solver                  none
% 31.71/31.90  % --res_prop_simpl_new                  false
% 31.71/31.90  % --res_prop_simpl_given                false
% 31.71/31.90  % --res_passive_queue_type              priority_queues
% 31.71/31.90  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 31.71/31.90  % --res_passive_queues_freq             [15;5]
% 31.71/31.90  % --res_forward_subs                    full
% 31.71/31.90  % --res_backward_subs                   full
% 31.71/31.90  % --res_forward_subs_resolution         true
% 31.71/31.90  % --res_backward_subs_resolution        true
% 31.71/31.90  % --res_orphan_elimination              false
% 31.71/31.90  % --res_time_limit                      1000.
% 31.71/31.90  % --res_out_proof                       true
% 31.71/31.90  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_98215e.s
% 31.71/31.90  % --modulo                              true
% 31.71/31.90  
% 31.71/31.90  % ------ Combination Options
% 31.71/31.90  
% 31.71/31.90  % --comb_res_mult                       1000
% 31.71/31.90  % --comb_inst_mult                      300
% 31.71/31.90  % ------ 
% 31.71/31.90  
% 31.71/31.90  
% 31.71/31.90  
% 31.71/31.90  % ------ Proving...
% 31.71/31.90  % warning:  shown sat in sat incomplete mode 
% 31.71/31.90  % 
% 31.71/31.90  
% 31.71/31.90  
% 31.71/31.90  
% 31.71/31.90  
% 31.71/31.90  cnf(c_32,negated_conjecture,
% 31.71/31.90      ( ~ product(X0,X1,X2) | ~ product(X1,X0,X3) | product(X2,X3,X0) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_4) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_36,negated_conjecture,
% 31.71/31.90      ( ~ product(X0,X1,X2) | ~ product(X1,X0,X3) | product(X2,X3,X0) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_32]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_40,negated_conjecture,
% 31.71/31.90      ( ~ product(X0,X1,X2) | ~ product(X1,X0,X3) | product(X2,X3,X0) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_36]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_41,negated_conjecture,
% 31.71/31.90      ( ~ product(X0,X1,X2) | ~ product(X1,X0,X3) | product(X2,X3,X0) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_40]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_42,negated_conjecture,
% 31.71/31.90      ( ~ product(X0,X1,X2) | ~ product(X1,X0,X3) | product(X2,X3,X0) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_41]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_140,negated_conjecture,
% 31.71/31.90      ( ~ product(X0,X1,X2) | ~ product(X1,X0,X3) | product(X2,X3,X0) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_42]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_4,plain,
% 31.71/31.90      ( product(X0,X0,X0) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_88_0) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_84,plain,( product(X0,X0,X0) ),inference(copy,[status(esa)],[c_4]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_148,plain,
% 31.71/31.90      ( ~ product(X0,X0,X1) | product(X1,X0,X0) ),
% 31.71/31.90      inference(resolution,[status(thm)],[c_140,c_84]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_149,plain,
% 31.71/31.90      ( ~ product(X0,X0,X1) | product(X1,X0,X0) ),
% 31.71/31.90      inference(rewriting,[status(thm)],[c_148]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_26,plain,
% 31.71/31.90      ( product(X0,X1,e_4)
% 31.71/31.90      | product(X0,X1,e_3)
% 31.71/31.90      | product(X0,X1,e_2)
% 31.71/31.90      | product(X0,X1,e_1)
% 31.71/31.90      | ~ group_element(X1)
% 31.71/31.90      | ~ group_element(X0) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_84_5) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_128,plain,
% 31.71/31.90      ( product(X0,X1,e_4)
% 31.71/31.90      | product(X0,X1,e_3)
% 31.71/31.90      | product(X0,X1,e_2)
% 31.71/31.90      | product(X0,X1,e_1)
% 31.71/31.90      | ~ group_element(X1)
% 31.71/31.90      | ~ group_element(X0) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_26]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_129,plain,
% 31.71/31.90      ( ~ group_element(X0)
% 31.71/31.90      | ~ group_element(X1)
% 31.71/31.90      | product(X1,X0,e_1)
% 31.71/31.90      | product(X1,X0,e_2)
% 31.71/31.90      | product(X1,X0,e_3)
% 31.71/31.90      | product(X1,X0,e_4) ),
% 31.71/31.90      inference(rewriting,[status(thm)],[c_128]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_23,plain,
% 31.71/31.90      ( equalish(X0,X1) | ~ product(X1,X2,X3) | ~ product(X0,X2,X3) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_85_2) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_122,plain,
% 31.71/31.90      ( equalish(X0,X1) | ~ product(X1,X2,X3) | ~ product(X0,X2,X3) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_23]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_123,plain,
% 31.71/31.90      ( ~ product(X0,X1,X2) | ~ product(X3,X1,X2) | equalish(X3,X0) ),
% 31.71/31.90      inference(rewriting,[status(thm)],[c_122]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_20,plain,
% 31.71/31.90      ( equalish(X0,X1) | ~ product(X2,X1,X3) | ~ product(X2,X0,X3) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_86_2) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_116,plain,
% 31.71/31.90      ( equalish(X0,X1) | ~ product(X2,X1,X3) | ~ product(X2,X0,X3) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_20]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_117,plain,
% 31.71/31.90      ( ~ product(X0,X1,X2) | ~ product(X0,X3,X2) | equalish(X3,X1) ),
% 31.71/31.90      inference(rewriting,[status(thm)],[c_116]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_17,plain,
% 31.71/31.90      ( equalish(X0,X1) | ~ product(X2,X3,X1) | ~ product(X2,X3,X0) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_87_2) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_110,plain,
% 31.71/31.90      ( equalish(X0,X1) | ~ product(X2,X3,X1) | ~ product(X2,X3,X0) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_17]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_111,plain,
% 31.71/31.90      ( ~ product(X0,X1,X2) | ~ product(X0,X1,X3) | equalish(X3,X2) ),
% 31.71/31.90      inference(rewriting,[status(thm)],[c_110]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_27,plain,
% 31.71/31.90      ( ~ group_element(X0)
% 31.71/31.90      | product(X0,X1,e_4)
% 31.71/31.90      | product(X0,X1,e_3)
% 31.71/31.90      | product(X0,X1,e_2)
% 31.71/31.90      | product(X0,X1,e_1)
% 31.71/31.90      | ~ group_element(X1) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_84_4) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_130,plain,
% 31.71/31.90      ( ~ group_element(X0)
% 31.71/31.90      | product(X0,X1,e_4)
% 31.71/31.90      | product(X0,X1,e_3)
% 31.71/31.90      | product(X0,X1,e_2)
% 31.71/31.90      | product(X0,X1,e_1)
% 31.71/31.90      | ~ group_element(X1) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_27]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_131,plain,
% 31.71/31.90      ( ~ group_element(X0)
% 31.71/31.90      | ~ group_element(X1)
% 31.71/31.90      | product(X0,X1,e_1)
% 31.71/31.90      | product(X0,X1,e_2)
% 31.71/31.90      | product(X0,X1,e_3)
% 31.71/31.90      | product(X0,X1,e_4) ),
% 31.71/31.90      inference(rewriting,[status(thm)],[c_130]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_24,plain,
% 31.71/31.90      ( ~ product(X0,X1,X2) | equalish(X0,X3) | ~ product(X3,X1,X2) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_85_1) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_124,plain,
% 31.71/31.90      ( ~ product(X0,X1,X2) | equalish(X0,X3) | ~ product(X3,X1,X2) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_24]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_125,plain,
% 31.71/31.90      ( ~ product(X0,X1,X2) | ~ product(X3,X1,X2) | equalish(X0,X3) ),
% 31.71/31.90      inference(rewriting,[status(thm)],[c_124]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_21,plain,
% 31.71/31.90      ( ~ product(X0,X1,X2) | equalish(X1,X3) | ~ product(X0,X3,X2) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_86_1) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_118,plain,
% 31.71/31.90      ( ~ product(X0,X1,X2) | equalish(X1,X3) | ~ product(X0,X3,X2) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_21]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_119,plain,
% 31.71/31.90      ( ~ product(X0,X1,X2) | ~ product(X0,X3,X2) | equalish(X1,X3) ),
% 31.71/31.90      inference(rewriting,[status(thm)],[c_118]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_18,plain,
% 31.71/31.90      ( ~ product(X0,X1,X2) | equalish(X2,X3) | ~ product(X0,X1,X3) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_87_1) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_112,plain,
% 31.71/31.90      ( ~ product(X0,X1,X2) | equalish(X2,X3) | ~ product(X0,X1,X3) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_18]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_113,plain,
% 31.71/31.90      ( ~ product(X0,X1,X2) | ~ product(X0,X1,X3) | equalish(X2,X3) ),
% 31.71/31.90      inference(rewriting,[status(thm)],[c_112]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_16,plain,
% 31.71/31.90      ( ~ equalish(e_4,e_3) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_89_0) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_108,plain,
% 31.71/31.90      ( ~ equalish(e_4,e_3) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_16]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_15,plain,
% 31.71/31.90      ( ~ equalish(e_4,e_2) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_90_0) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_106,plain,
% 31.71/31.90      ( ~ equalish(e_4,e_2) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_15]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_14,plain,
% 31.71/31.90      ( ~ equalish(e_4,e_1) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_91_0) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_104,plain,
% 31.71/31.90      ( ~ equalish(e_4,e_1) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_14]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_13,plain,
% 31.71/31.90      ( ~ equalish(e_3,e_4) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_92_0) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_102,plain,
% 31.71/31.90      ( ~ equalish(e_3,e_4) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_13]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_12,plain,
% 31.71/31.90      ( ~ equalish(e_3,e_2) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_93_0) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_100,plain,
% 31.71/31.90      ( ~ equalish(e_3,e_2) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_12]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_11,plain,
% 31.71/31.90      ( ~ equalish(e_3,e_1) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_94_0) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_98,plain,
% 31.71/31.90      ( ~ equalish(e_3,e_1) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_11]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_10,plain,
% 31.71/31.90      ( ~ equalish(e_2,e_4) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_95_0) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_96,plain,
% 31.71/31.90      ( ~ equalish(e_2,e_4) ),
% 31.71/31.90      inference(copy,[status(esa)],[c_10]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_9,plain,
% 31.71/31.90      ( ~ equalish(e_2,e_3) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_96_0) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_94,plain,( ~ equalish(e_2,e_3) ),inference(copy,[status(esa)],[c_9]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_8,plain,
% 31.71/31.90      ( ~ equalish(e_2,e_1) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_97_0) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_92,plain,( ~ equalish(e_2,e_1) ),inference(copy,[status(esa)],[c_8]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_7,plain,
% 31.71/31.90      ( ~ equalish(e_1,e_4) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_98_0) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_90,plain,( ~ equalish(e_1,e_4) ),inference(copy,[status(esa)],[c_7]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_6,plain,
% 31.71/31.90      ( ~ equalish(e_1,e_3) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_99_0) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_88,plain,( ~ equalish(e_1,e_3) ),inference(copy,[status(esa)],[c_6]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_5,plain,
% 31.71/31.90      ( ~ equalish(e_1,e_2) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_100_0) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_86,plain,( ~ equalish(e_1,e_2) ),inference(copy,[status(esa)],[c_5]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_3,plain,
% 31.71/31.90      ( group_element(e_4) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_101_0) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_82,plain,( group_element(e_4) ),inference(copy,[status(esa)],[c_3]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_2,plain,
% 31.71/31.90      ( group_element(e_3) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_102_0) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_80,plain,( group_element(e_3) ),inference(copy,[status(esa)],[c_2]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_1,plain,
% 31.71/31.90      ( group_element(e_2) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_103_0) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_78,plain,( group_element(e_2) ),inference(copy,[status(esa)],[c_1]) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_0,plain,
% 31.71/31.90      ( group_element(e_1) ),
% 31.71/31.90      file('/export/starexec/sandbox2/tmp/iprover_modulo_448fcd.p', c_0_104_0) ).
% 31.71/31.90  
% 31.71/31.90  cnf(c_76,plain,( group_element(e_1) ),inference(copy,[status(esa)],[c_0]) ).
% 31.71/31.90  
% 31.71/31.90  
% 31.71/31.90  
% 31.71/31.90  % ------                             Statistics
% 31.71/31.90  
% 31.71/31.90  % ------ General
% 31.71/31.90  
% 31.71/31.90  % num_of_input_clauses:                 33
% 31.71/31.90  % num_of_input_neg_conjectures:         1
% 31.71/31.90  % num_of_splits:                        0
% 31.71/31.90  % num_of_split_atoms:                   0
% 31.71/31.90  % num_of_sem_filtered_clauses:          0
% 31.71/31.90  % num_of_subtypes:                      0
% 31.71/31.90  % monotx_restored_types:                0
% 31.71/31.90  % sat_num_of_epr_types:                 0
% 31.71/31.90  % sat_num_of_non_cyclic_types:          0
% 31.71/31.90  % sat_guarded_non_collapsed_types:      0
% 31.71/31.90  % is_epr:                               1
% 31.71/31.90  % is_horn:                              0
% 31.71/31.90  % has_eq:                               0
% 31.71/31.90  % num_pure_diseq_elim:                  0
% 31.71/31.90  % simp_replaced_by:                     0
% 31.71/31.90  % res_preprocessed:                     2
% 31.71/31.90  % prep_upred:                           0
% 31.71/31.90  % prep_unflattend:                      0
% 31.71/31.90  % pred_elim_cands:                      0
% 31.71/31.90  % pred_elim:                            0
% 31.71/31.90  % pred_elim_cl:                         0
% 31.71/31.90  % pred_elim_cycles:                     0
% 31.71/31.90  % forced_gc_time:                       0
% 31.71/31.90  % gc_basic_clause_elim:                 0
% 31.71/31.90  % parsing_time:                         0.001
% 31.71/31.90  % sem_filter_time:                      0.
% 31.71/31.90  % pred_elim_time:                       0.
% 31.71/31.90  % out_proof_time:                       0.
% 31.71/31.90  % monotx_time:                          0.
% 31.71/31.90  % subtype_inf_time:                     0.
% 31.71/31.90  % unif_index_cands_time:                0.
% 31.71/31.90  % unif_index_add_time:                  0.
% 31.71/31.90  % total_time:                           0.02
% 31.71/31.90  % num_of_symbols:                       32
% 31.71/31.90  % num_of_terms:                         106
% 31.71/31.90  
% 31.71/31.90  % ------ Propositional Solver
% 31.71/31.90  
% 31.71/31.90  % prop_solver_calls:                    1
% 31.71/31.90  % prop_fast_solver_calls:               9
% 31.71/31.90  % prop_num_of_clauses:                  28
% 31.71/31.90  % prop_preprocess_simplified:           88
% 31.71/31.90  % prop_fo_subsumed:                     0
% 31.71/31.90  % prop_solver_time:                     0.
% 31.71/31.90  % prop_fast_solver_time:                0.
% 31.71/31.90  % prop_unsat_core_time:                 0.
% 31.71/31.90  
% 31.71/31.90  % ------ QBF 
% 31.71/31.90  
% 31.71/31.90  % qbf_q_res:                            0
% 31.71/31.90  % qbf_num_tautologies:                  0
% 31.71/31.90  % qbf_prep_cycles:                      0
% 31.71/31.90  
% 31.71/31.90  % ------ BMC1
% 31.71/31.90  
% 31.71/31.90  % bmc1_current_bound:                   -1
% 31.71/31.90  % bmc1_last_solved_bound:               -1
% 31.71/31.90  % bmc1_unsat_core_size:                 -1
% 31.71/31.90  % bmc1_unsat_core_parents_size:         -1
% 31.71/31.90  % bmc1_merge_next_fun:                  0
% 31.71/31.90  % bmc1_unsat_core_clauses_time:         0.
% 31.71/31.90  
% 31.71/31.90  % ------ Instantiation
% 31.71/31.90  
% 31.71/31.90  % inst_num_of_clauses:                  33
% 31.71/31.90  % inst_num_in_passive:                  0
% 31.71/31.90  % inst_num_in_active:                   0
% 31.71/31.90  % inst_num_in_unprocessed:              33
% 31.71/31.90  % inst_num_of_loops:                    0
% 31.71/31.90  % inst_num_of_learning_restarts:        0
% 31.71/31.90  % inst_num_moves_active_passive:        0
% 31.71/31.90  % inst_lit_activity:                    0
% 31.71/31.90  % inst_lit_activity_moves:              0
% 31.71/31.90  % inst_num_tautologies:                 0
% 31.71/31.90  % inst_num_prop_implied:                0
% 31.71/31.90  % inst_num_existing_simplified:         0
% 31.71/31.90  % inst_num_eq_res_simplified:           0
% 31.71/31.90  % inst_num_child_elim:                  0
% 31.71/31.90  % inst_num_of_dismatching_blockings:    0
% 31.71/31.90  % inst_num_of_non_proper_insts:         0
% 31.71/31.90  % inst_num_of_duplicates:               0
% 31.71/31.90  % inst_inst_num_from_inst_to_res:       0
% 31.71/31.90  % inst_dismatching_checking_time:       0.
% 31.71/31.90  
% 31.71/31.90  % ------ Resolution
% 31.71/31.90  
% 31.71/31.90  % res_num_of_clauses:                   38
% 31.71/31.90  % res_num_in_passive:                   0
% 31.71/31.90  % res_num_in_active:                    27
% 31.71/31.90  % res_num_of_loops:                     3
% 31.71/31.90  % res_forward_subset_subsumed:          8
% 31.71/31.90  % res_backward_subset_subsumed:         0
% 31.71/31.90  % res_forward_subsumed:                 0
% 31.71/31.90  % res_backward_subsumed:                0
% 31.71/31.90  % res_forward_subsumption_resolution:   0
% 31.71/31.90  % res_backward_subsumption_resolution:  0
% 31.71/31.90  % res_clause_to_clause_subsumption:     15
% 31.71/31.90  % res_orphan_elimination:               0
% 31.71/31.90  % res_tautology_del:                    0
% 31.71/31.90  % res_num_eq_res_simplified:            0
% 31.71/31.90  % res_num_sel_changes:                  0
% 31.71/31.90  % res_moves_from_active_to_pass:        0
% 31.71/31.90  
% 31.71/31.90  % Status Unknown
% 31.71/31.90  % Last status :
% 31.71/31.90  % SZS status Unknown
%------------------------------------------------------------------------------