TSTP Solution File: LCL156-1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : LCL156-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n021.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 07:42:46 EDT 2023

% Result   : Unsatisfiable 3.10s 1.15s
% Output   : CNFRefutation 3.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   22
%            Number of leaves      :   15
% Syntax   : Number of clauses     :   52 (  52 unt;   0 nHn;  11 RR)
%            Number of literals    :   52 (  51 equ;   4 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   3 con; 0-2 aty)
%            Number of variables   :   61 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(c_49,negated_conjecture,
    and_star(x,truth) != x,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_alternative_wajsberg_axiom) ).

cnf(c_52,plain,
    not(or(not(X0),not(X1))) = and_star(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-1.ax',and_star_definition) ).

cnf(c_53,plain,
    and_star(and_star(X0,X1),X2) = and_star(X0,and_star(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-1.ax',and_star_associativity) ).

cnf(c_54,plain,
    and_star(X0,X1) = and_star(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-1.ax',and_star_commutativity) ).

cnf(c_55,plain,
    not(truth) = falsehood,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL002-1.ax',false_definition) ).

cnf(c_56,plain,
    implies(not(X0),X1) = or(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-2.ax',or_definition) ).

cnf(c_57,plain,
    or(or(X0,X1),X2) = or(X0,or(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-2.ax',or_associativity) ).

cnf(c_58,plain,
    or(X0,X1) = or(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-2.ax',or_commutativity) ).

cnf(c_59,plain,
    not(or(not(X0),not(X1))) = and(X0,X1),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-2.ax',and_definition) ).

cnf(c_60,plain,
    and(and(X0,X1),X2) = and(X0,and(X1,X2)),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-2.ax',and_associativity) ).

cnf(c_61,plain,
    and(X0,X1) = and(X1,X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-2.ax',and_commutativity) ).

cnf(c_62,plain,
    implies(truth,X0) = X0,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_1) ).

cnf(c_63,plain,
    implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))) = truth,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_2) ).

cnf(c_64,plain,
    implies(implies(X0,X1),X1) = implies(implies(X1,X0),X0),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_3) ).

cnf(c_65,plain,
    implies(implies(not(X0),not(X1)),implies(X1,X0)) = truth,
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL001-0.ax',wajsberg_4) ).

cnf(c_81,negated_conjecture,
    and_star(truth,x) != x,
    inference(theory_normalisation,[status(thm)],[c_49,c_57,c_58,c_60,c_61,c_53,c_54]) ).

cnf(c_116,plain,
    and_star(X0,X1) = and(X0,X1),
    inference(light_normalisation,[status(thm)],[c_52,c_59]) ).

cnf(c_118,plain,
    and(truth,x) != x,
    inference(demodulation,[status(thm)],[c_81,c_116]) ).

cnf(c_120,plain,
    implies(or(X0,not(X1)),implies(X1,X0)) = truth,
    inference(demodulation,[status(thm)],[c_65,c_56]) ).

cnf(c_242,plain,
    or(truth,X0) = implies(falsehood,X0),
    inference(superposition,[status(thm)],[c_55,c_56]) ).

cnf(c_248,plain,
    implies(or(X0,not(truth)),X0) = truth,
    inference(superposition,[status(thm)],[c_62,c_120]) ).

cnf(c_251,plain,
    implies(or(X0,falsehood),X0) = truth,
    inference(light_normalisation,[status(thm)],[c_248,c_55]) ).

cnf(c_260,plain,
    not(or(falsehood,not(X0))) = and(truth,X0),
    inference(superposition,[status(thm)],[c_55,c_59]) ).

cnf(c_279,plain,
    implies(implies(X0,truth),truth) = implies(X0,X0),
    inference(superposition,[status(thm)],[c_62,c_64]) ).

cnf(c_288,plain,
    or(X0,truth) = implies(falsehood,X0),
    inference(superposition,[status(thm)],[c_242,c_58]) ).

cnf(c_295,plain,
    implies(or(falsehood,X0),X0) = truth,
    inference(superposition,[status(thm)],[c_58,c_251]) ).

cnf(c_296,plain,
    implies(implies(falsehood,falsehood),truth) = truth,
    inference(superposition,[status(thm)],[c_242,c_251]) ).

cnf(c_399,plain,
    implies(not(X0),not(X0)) = implies(or(X0,truth),truth),
    inference(superposition,[status(thm)],[c_56,c_279]) ).

cnf(c_417,plain,
    implies(not(X0),not(X0)) = implies(implies(falsehood,X0),truth),
    inference(light_normalisation,[status(thm)],[c_399,c_288]) ).

cnf(c_419,plain,
    implies(not(falsehood),not(falsehood)) = truth,
    inference(demodulation,[status(thm)],[c_296,c_417]) ).

cnf(c_441,plain,
    or(falsehood,not(falsehood)) = truth,
    inference(demodulation,[status(thm)],[c_419,c_56]) ).

cnf(c_446,plain,
    implies(truth,not(falsehood)) = truth,
    inference(superposition,[status(thm)],[c_441,c_295]) ).

cnf(c_454,plain,
    not(falsehood) = truth,
    inference(demodulation,[status(thm)],[c_446,c_62]) ).

cnf(c_462,plain,
    or(falsehood,X0) = implies(truth,X0),
    inference(superposition,[status(thm)],[c_454,c_56]) ).

cnf(c_463,plain,
    or(falsehood,X0) = X0,
    inference(light_normalisation,[status(thm)],[c_462,c_62]) ).

cnf(c_470,plain,
    implies(X0,X0) = truth,
    inference(demodulation,[status(thm)],[c_295,c_463]) ).

cnf(c_472,plain,
    not(not(X0)) = and(truth,X0),
    inference(demodulation,[status(thm)],[c_260,c_463]) ).

cnf(c_475,plain,
    not(not(x)) != x,
    inference(demodulation,[status(thm)],[c_118,c_472]) ).

cnf(c_478,plain,
    implies(implies(X0,truth),truth) = truth,
    inference(demodulation,[status(thm)],[c_279,c_470]) ).

cnf(c_609,plain,
    implies(implies(truth,X0),implies(implies(X0,X1),X1)) = truth,
    inference(superposition,[status(thm)],[c_62,c_63]) ).

cnf(c_624,plain,
    implies(X0,implies(implies(X0,X1),X1)) = truth,
    inference(light_normalisation,[status(thm)],[c_609,c_62]) ).

cnf(c_706,plain,
    or(X0,falsehood) = X0,
    inference(superposition,[status(thm)],[c_463,c_58]) ).

cnf(c_1264,plain,
    implies(X0,truth) = truth,
    inference(superposition,[status(thm)],[c_478,c_624]) ).

cnf(c_1337,plain,
    or(X0,truth) = truth,
    inference(superposition,[status(thm)],[c_1264,c_56]) ).

cnf(c_1357,plain,
    implies(falsehood,X0) = truth,
    inference(demodulation,[status(thm)],[c_288,c_1337]) ).

cnf(c_1403,plain,
    implies(implies(X0,falsehood),falsehood) = implies(truth,X0),
    inference(superposition,[status(thm)],[c_1357,c_64]) ).

cnf(c_1409,plain,
    implies(implies(X0,falsehood),falsehood) = X0,
    inference(light_normalisation,[status(thm)],[c_1403,c_62]) ).

cnf(c_1460,plain,
    implies(or(X0,falsehood),falsehood) = not(X0),
    inference(superposition,[status(thm)],[c_56,c_1409]) ).

cnf(c_1480,plain,
    implies(X0,falsehood) = not(X0),
    inference(light_normalisation,[status(thm)],[c_1460,c_706]) ).

cnf(c_1518,plain,
    not(not(X0)) = or(X0,falsehood),
    inference(superposition,[status(thm)],[c_1480,c_56]) ).

cnf(c_1533,plain,
    not(not(X0)) = X0,
    inference(light_normalisation,[status(thm)],[c_1518,c_706]) ).

cnf(c_1544,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_475,c_1533]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL156-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.16/0.34  % Computer : n021.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Thu Aug 24 22:12:55 EDT 2023
% 0.16/0.34  % CPUTime  : 
% 0.19/0.47  Running UEQ theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule casc_29_ueq --heuristic_context ueq --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.10/1.15  % SZS status Started for theBenchmark.p
% 3.10/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.10/1.15  
% 3.10/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.10/1.15  
% 3.10/1.15  ------  iProver source info
% 3.10/1.15  
% 3.10/1.15  git: date: 2023-05-31 18:12:56 +0000
% 3.10/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.10/1.15  git: non_committed_changes: false
% 3.10/1.15  git: last_make_outside_of_git: false
% 3.10/1.15  
% 3.10/1.15  ------ Parsing...successful
% 3.10/1.15  
% 3.10/1.15  
% 3.10/1.15  
% 3.10/1.15  ------ Preprocessing... sup_sim: 6  sf_s  rm: 0 0s  sf_e  pe_s  pe_e  sup_sim: 0  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 3.10/1.15  
% 3.10/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.10/1.15  
% 3.10/1.15  ------ Preprocessing... sf_s  rm: 0 0s  sf_e 
% 3.10/1.15  ------ Proving...
% 3.10/1.15  ------ Problem Properties 
% 3.10/1.15  
% 3.10/1.15  
% 3.10/1.15  clauses                                 15
% 3.10/1.15  conjectures                             0
% 3.10/1.15  EPR                                     0
% 3.10/1.15  Horn                                    15
% 3.10/1.15  unary                                   15
% 3.10/1.15  binary                                  0
% 3.10/1.15  lits                                    15
% 3.10/1.15  lits eq                                 15
% 3.10/1.15  fd_pure                                 0
% 3.10/1.15  fd_pseudo                               0
% 3.10/1.15  fd_cond                                 0
% 3.10/1.15  fd_pseudo_cond                          0
% 3.10/1.15  AC symbols                              2
% 3.10/1.15  
% 3.10/1.15  ------ Input Options Time Limit: Unbounded
% 3.10/1.15  
% 3.10/1.15  
% 3.10/1.15  ------ 
% 3.10/1.15  Current options:
% 3.10/1.15  ------ 
% 3.10/1.15  
% 3.10/1.15  ------ Input Options
% 3.10/1.15  
% 3.10/1.15  --out_options                           all
% 3.10/1.15  --tptp_safe_out                         true
% 3.10/1.15  --problem_path                          ""
% 3.10/1.15  --include_path                          ""
% 3.10/1.15  --clausifier                            res/vclausify_rel
% 3.10/1.15  --clausifier_options                    --mode clausify -t 305.00 
% 3.10/1.15  --stdin                                 false
% 3.10/1.15  --proof_out                             true
% 3.10/1.15  --proof_dot_file                        ""
% 3.10/1.15  --proof_reduce_dot                      []
% 3.10/1.15  --suppress_sat_res                      true
% 3.10/1.15  --suppress_unsat_res                    false
% 3.10/1.15  --stats_out                             all
% 3.10/1.15  --stats_mem                             false
% 3.10/1.15  --theory_stats_out                      false
% 3.10/1.15  
% 3.10/1.15  ------ General Options
% 3.10/1.15  
% 3.10/1.15  --fof                                   false
% 3.10/1.15  --time_out_real                         305.
% 3.10/1.15  --time_out_virtual                      -1.
% 3.10/1.15  --rnd_seed                              13
% 3.10/1.15  --symbol_type_check                     false
% 3.10/1.15  --clausify_out                          false
% 3.10/1.15  --sig_cnt_out                           false
% 3.10/1.15  --trig_cnt_out                          false
% 3.10/1.15  --trig_cnt_out_tolerance                1.
% 3.10/1.15  --trig_cnt_out_sk_spl                   false
% 3.10/1.15  --abstr_cl_out                          false
% 3.10/1.15  
% 3.10/1.15  ------ Interactive Mode
% 3.10/1.15  
% 3.10/1.15  --interactive_mode                      false
% 3.10/1.15  --external_ip_address                   ""
% 3.10/1.15  --external_port                         0
% 3.10/1.15  
% 3.10/1.15  ------ Global Options
% 3.10/1.15  
% 3.10/1.15  --schedule                              none
% 3.10/1.15  --add_important_lit                     false
% 3.10/1.15  --prop_solver_per_cl                    500
% 3.10/1.15  --subs_bck_mult                         8
% 3.10/1.15  --min_unsat_core                        false
% 3.10/1.15  --soft_assumptions                      false
% 3.10/1.15  --soft_lemma_size                       3
% 3.10/1.15  --prop_impl_unit_size                   0
% 3.10/1.15  --prop_impl_unit                        []
% 3.10/1.15  --share_sel_clauses                     true
% 3.10/1.15  --reset_solvers                         false
% 3.10/1.15  --bc_imp_inh                            [conj_cone]
% 3.10/1.15  --conj_cone_tolerance                   3.
% 3.10/1.15  --extra_neg_conj                        none
% 3.10/1.15  --large_theory_mode                     true
% 3.10/1.15  --prolific_symb_bound                   200
% 3.10/1.15  --lt_threshold                          2000
% 3.10/1.15  --clause_weak_htbl                      true
% 3.10/1.15  --gc_record_bc_elim                     false
% 3.10/1.15  
% 3.10/1.15  ------ Preprocessing Options
% 3.10/1.15  
% 3.10/1.15  --preprocessing_flag                    true
% 3.10/1.15  --time_out_prep_mult                    0.1
% 3.10/1.15  --splitting_mode                        input
% 3.10/1.15  --splitting_grd                         true
% 3.10/1.15  --splitting_cvd                         false
% 3.10/1.15  --splitting_cvd_svl                     false
% 3.10/1.15  --splitting_nvd                         32
% 3.10/1.15  --sub_typing                            false
% 3.10/1.15  --prep_gs_sim                           true
% 3.10/1.15  --prep_unflatten                        true
% 3.10/1.15  --prep_res_sim                          true
% 3.10/1.15  --prep_sup_sim_all                      true
% 3.10/1.15  --prep_sup_sim_sup                      false
% 3.10/1.15  --prep_upred                            true
% 3.10/1.15  --prep_well_definedness                 true
% 3.10/1.15  --prep_sem_filter                       exhaustive
% 3.10/1.15  --prep_sem_filter_out                   false
% 3.10/1.15  --pred_elim                             true
% 3.10/1.15  --res_sim_input                         true
% 3.10/1.15  --eq_ax_congr_red                       true
% 3.10/1.15  --pure_diseq_elim                       true
% 3.10/1.15  --brand_transform                       false
% 3.10/1.15  --non_eq_to_eq                          false
% 3.10/1.15  --prep_def_merge                        true
% 3.10/1.15  --prep_def_merge_prop_impl              false
% 3.10/1.15  --prep_def_merge_mbd                    true
% 3.10/1.15  --prep_def_merge_tr_red                 false
% 3.10/1.15  --prep_def_merge_tr_cl                  false
% 3.10/1.15  --smt_preprocessing                     false
% 3.10/1.15  --smt_ac_axioms                         fast
% 3.10/1.15  --preprocessed_out                      false
% 3.10/1.15  --preprocessed_stats                    false
% 3.10/1.15  
% 3.10/1.15  ------ Abstraction refinement Options
% 3.10/1.15  
% 3.10/1.15  --abstr_ref                             []
% 3.10/1.15  --abstr_ref_prep                        false
% 3.10/1.15  --abstr_ref_until_sat                   false
% 3.10/1.15  --abstr_ref_sig_restrict                funpre
% 3.10/1.15  --abstr_ref_af_restrict_to_split_sk     false
% 3.10/1.15  --abstr_ref_under                       []
% 3.10/1.15  
% 3.10/1.15  ------ SAT Options
% 3.10/1.15  
% 3.10/1.15  --sat_mode                              false
% 3.10/1.15  --sat_fm_restart_options                ""
% 3.10/1.15  --sat_gr_def                            false
% 3.10/1.15  --sat_epr_types                         true
% 3.10/1.15  --sat_non_cyclic_types                  false
% 3.10/1.15  --sat_finite_models                     false
% 3.10/1.15  --sat_fm_lemmas                         false
% 3.10/1.15  --sat_fm_prep                           false
% 3.10/1.15  --sat_fm_uc_incr                        true
% 3.10/1.15  --sat_out_model                         small
% 3.10/1.15  --sat_out_clauses                       false
% 3.10/1.15  
% 3.10/1.15  ------ QBF Options
% 3.10/1.15  
% 3.10/1.15  --qbf_mode                              false
% 3.10/1.15  --qbf_elim_univ                         false
% 3.10/1.15  --qbf_dom_inst                          none
% 3.10/1.15  --qbf_dom_pre_inst                      false
% 3.10/1.15  --qbf_sk_in                             false
% 3.10/1.15  --qbf_pred_elim                         true
% 3.10/1.15  --qbf_split                             512
% 3.10/1.15  
% 3.10/1.15  ------ BMC1 Options
% 3.10/1.15  
% 3.10/1.15  --bmc1_incremental                      false
% 3.10/1.15  --bmc1_axioms                           reachable_all
% 3.10/1.15  --bmc1_min_bound                        0
% 3.10/1.15  --bmc1_max_bound                        -1
% 3.10/1.15  --bmc1_max_bound_default                -1
% 3.10/1.15  --bmc1_symbol_reachability              true
% 3.10/1.15  --bmc1_property_lemmas                  false
% 3.10/1.15  --bmc1_k_induction                      false
% 3.10/1.15  --bmc1_non_equiv_states                 false
% 3.10/1.15  --bmc1_deadlock                         false
% 3.10/1.15  --bmc1_ucm                              false
% 3.10/1.15  --bmc1_add_unsat_core                   none
% 3.10/1.15  --bmc1_unsat_core_children              false
% 3.10/1.15  --bmc1_unsat_core_extrapolate_axioms    false
% 3.10/1.15  --bmc1_out_stat                         full
% 3.10/1.15  --bmc1_ground_init                      false
% 3.10/1.15  --bmc1_pre_inst_next_state              false
% 3.10/1.15  --bmc1_pre_inst_state                   false
% 3.10/1.15  --bmc1_pre_inst_reach_state             false
% 3.10/1.15  --bmc1_out_unsat_core                   false
% 3.10/1.15  --bmc1_aig_witness_out                  false
% 3.10/1.15  --bmc1_verbose                          false
% 3.10/1.15  --bmc1_dump_clauses_tptp                false
% 3.10/1.15  --bmc1_dump_unsat_core_tptp             false
% 3.10/1.15  --bmc1_dump_file                        -
% 3.10/1.15  --bmc1_ucm_expand_uc_limit              128
% 3.10/1.15  --bmc1_ucm_n_expand_iterations          6
% 3.10/1.15  --bmc1_ucm_extend_mode                  1
% 3.10/1.15  --bmc1_ucm_init_mode                    2
% 3.10/1.15  --bmc1_ucm_cone_mode                    none
% 3.10/1.15  --bmc1_ucm_reduced_relation_type        0
% 3.10/1.15  --bmc1_ucm_relax_model                  4
% 3.10/1.15  --bmc1_ucm_full_tr_after_sat            true
% 3.10/1.15  --bmc1_ucm_expand_neg_assumptions       false
% 3.10/1.15  --bmc1_ucm_layered_model                none
% 3.10/1.15  --bmc1_ucm_max_lemma_size               10
% 3.10/1.15  
% 3.10/1.15  ------ AIG Options
% 3.10/1.15  
% 3.10/1.15  --aig_mode                              false
% 3.10/1.15  
% 3.10/1.15  ------ Instantiation Options
% 3.10/1.15  
% 3.10/1.15  --instantiation_flag                    true
% 3.10/1.15  --inst_sos_flag                         false
% 3.10/1.15  --inst_sos_phase                        true
% 3.10/1.15  --inst_sos_sth_lit_sel                  [+prop;+non_prol_conj_symb;-eq;+ground;-num_var;-num_symb]
% 3.10/1.15  --inst_lit_sel                          [+prop;+sign;+ground;-num_var;-num_symb]
% 3.10/1.15  --inst_lit_sel_side                     num_symb
% 3.10/1.15  --inst_solver_per_active                1400
% 3.10/1.15  --inst_solver_calls_frac                1.
% 3.10/1.15  --inst_to_smt_solver                    true
% 3.10/1.15  --inst_passive_queue_type               priority_queues
% 3.10/1.15  --inst_passive_queues                   [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.10/1.15  --inst_passive_queues_freq              [25;2]
% 3.10/1.15  --inst_dismatching                      true
% 3.10/1.15  --inst_eager_unprocessed_to_passive     true
% 3.10/1.15  --inst_unprocessed_bound                1000
% 3.10/1.15  --inst_prop_sim_given                   true
% 3.10/1.15  --inst_prop_sim_new                     false
% 3.10/1.15  --inst_subs_new                         false
% 3.10/1.15  --inst_eq_res_simp                      false
% 3.10/1.15  --inst_subs_given                       false
% 3.10/1.15  --inst_orphan_elimination               true
% 3.10/1.15  --inst_learning_loop_flag               true
% 3.10/1.15  --inst_learning_start                   3000
% 3.10/1.15  --inst_learning_factor                  2
% 3.10/1.15  --inst_start_prop_sim_after_learn       3
% 3.10/1.15  --inst_sel_renew                        solver
% 3.10/1.15  --inst_lit_activity_flag                true
% 3.10/1.15  --inst_restr_to_given                   false
% 3.10/1.15  --inst_activity_threshold               500
% 3.10/1.15  
% 3.10/1.15  ------ Resolution Options
% 3.10/1.15  
% 3.10/1.15  --resolution_flag                       true
% 3.10/1.15  --res_lit_sel                           adaptive
% 3.10/1.15  --res_lit_sel_side                      none
% 3.10/1.15  --res_ordering                          kbo
% 3.10/1.15  --res_to_prop_solver                    active
% 3.10/1.15  --res_prop_simpl_new                    false
% 3.10/1.15  --res_prop_simpl_given                  true
% 3.10/1.15  --res_to_smt_solver                     true
% 3.10/1.15  --res_passive_queue_type                priority_queues
% 3.10/1.15  --res_passive_queues                    [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.10/1.15  --res_passive_queues_freq               [15;5]
% 3.10/1.15  --res_forward_subs                      full
% 3.10/1.15  --res_backward_subs                     full
% 3.10/1.15  --res_forward_subs_resolution           true
% 3.10/1.15  --res_backward_subs_resolution          true
% 3.10/1.15  --res_orphan_elimination                true
% 3.10/1.15  --res_time_limit                        300.
% 3.10/1.15  
% 3.10/1.15  ------ Superposition Options
% 3.10/1.15  
% 3.10/1.15  --superposition_flag                    true
% 3.10/1.15  --sup_passive_queue_type                priority_queues
% 3.10/1.15  --sup_passive_queues                    [[-conj_dist;-num_symb];[+score;+min_def_symb;-max_atom_input_occur;+conj_non_prolific_symb];[+age;-num_symb];[+score;-num_symb]]
% 3.10/1.15  --sup_passive_queues_freq               [8;1;4;4]
% 3.10/1.15  --demod_completeness_check              fast
% 3.10/1.15  --demod_use_ground                      true
% 3.10/1.15  --sup_unprocessed_bound                 0
% 3.10/1.15  --sup_to_prop_solver                    passive
% 3.10/1.15  --sup_prop_simpl_new                    true
% 3.10/1.15  --sup_prop_simpl_given                  true
% 3.10/1.15  --sup_fun_splitting                     false
% 3.10/1.15  --sup_iter_deepening                    2
% 3.10/1.15  --sup_restarts_mult                     12
% 3.10/1.15  --sup_score                             sim_d_gen
% 3.10/1.15  --sup_share_score_frac                  0.2
% 3.10/1.15  --sup_share_max_num_cl                  500
% 3.10/1.15  --sup_ordering                          kbo
% 3.10/1.15  --sup_symb_ordering                     invfreq
% 3.10/1.15  --sup_term_weight                       default
% 3.10/1.15  
% 3.10/1.15  ------ Superposition Simplification Setup
% 3.10/1.15  
% 3.10/1.15  --sup_indices_passive                   [LightNormIndex;FwDemodIndex]
% 3.10/1.15  --sup_full_triv                         [SMTSimplify;PropSubs]
% 3.10/1.15  --sup_full_fw                           [ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 3.10/1.15  --sup_full_bw                           [BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.10/1.15  --sup_immed_triv                        []
% 3.10/1.15  --sup_immed_fw_main                     [ACNormalisation;FwLightNorm;FwUnitSubsAndRes]
% 3.10/1.15  --sup_immed_fw_immed                    [ACNormalisation;FwUnitSubsAndRes]
% 3.10/1.15  --sup_immed_bw_main                     [BwUnitSubsAndRes;BwDemod]
% 3.10/1.15  --sup_immed_bw_immed                    [BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.10/1.15  --sup_input_triv                        [Unflattening;SMTSimplify]
% 3.10/1.15  --sup_input_fw                          [FwACDemod;ACNormalisation;FwLightNorm;FwDemod;FwUnitSubsAndRes;FwSubsumption;FwSubsumptionRes;FwGroundJoinability]
% 3.10/1.15  --sup_input_bw                          [BwACDemod;BwDemod;BwUnitSubsAndRes;BwSubsumption;BwSubsumptionRes]
% 3.10/1.15  --sup_full_fixpoint                     true
% 3.10/1.15  --sup_main_fixpoint                     true
% 3.10/1.15  --sup_immed_fixpoint                    false
% 3.10/1.15  --sup_input_fixpoint                    true
% 3.10/1.15  --sup_cache_sim                         none
% 3.10/1.15  --sup_smt_interval                      500
% 3.10/1.15  --sup_bw_gjoin_interval                 0
% 3.10/1.15  
% 3.10/1.15  ------ Combination Options
% 3.10/1.15  
% 3.10/1.15  --comb_mode                             clause_based
% 3.10/1.15  --comb_inst_mult                        5
% 3.10/1.15  --comb_res_mult                         1
% 3.10/1.15  --comb_sup_mult                         8
% 3.10/1.15  --comb_sup_deep_mult                    2
% 3.10/1.15  
% 3.10/1.15  ------ Debug Options
% 3.10/1.15  
% 3.10/1.15  --dbg_backtrace                         false
% 3.10/1.15  --dbg_dump_prop_clauses                 false
% 3.10/1.15  --dbg_dump_prop_clauses_file            -
% 3.10/1.15  --dbg_out_stat                          false
% 3.10/1.15  --dbg_just_parse                        false
% 3.10/1.15  
% 3.10/1.15  
% 3.10/1.15  
% 3.10/1.15  
% 3.10/1.15  ------ Proving...
% 3.10/1.15  
% 3.10/1.15  
% 3.10/1.15  % SZS status Unsatisfiable for theBenchmark.p
% 3.10/1.15  
% 3.10/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.10/1.15  
% 3.10/1.15  ------                               Statistics
% 3.10/1.15  
% 3.10/1.15  ------ Problem properties
% 3.10/1.15  
% 3.10/1.15  clauses:                                15
% 3.10/1.15  conjectures:                            0
% 3.10/1.15  epr:                                    0
% 3.10/1.15  horn:                                   15
% 3.10/1.15  ground:                                 2
% 3.10/1.15  unary:                                  15
% 3.10/1.15  binary:                                 0
% 3.10/1.15  lits:                                   15
% 3.10/1.15  lits_eq:                                15
% 3.10/1.15  fd_pure:                                0
% 3.10/1.15  fd_pseudo:                              0
% 3.10/1.15  fd_cond:                                0
% 3.10/1.15  fd_pseudo_cond:                         0
% 3.10/1.15  ac_symbols:                             2
% 3.10/1.15  
% 3.10/1.15  ------ General
% 3.10/1.15  
% 3.10/1.15  abstr_ref_over_cycles:                  0
% 3.10/1.15  abstr_ref_under_cycles:                 0
% 3.10/1.15  gc_basic_clause_elim:                   0
% 3.10/1.15  num_of_symbols:                         105
% 3.10/1.15  num_of_terms:                           3137
% 3.10/1.15  
% 3.10/1.15  parsing_time:                           0.
% 3.10/1.15  unif_index_cands_time:                  0.
% 3.10/1.15  unif_index_add_time:                    0.
% 3.10/1.15  orderings_time:                         0.001
% 3.10/1.15  out_proof_time:                         0.002
% 3.10/1.15  total_time:                             0.135
% 3.10/1.15  
% 3.10/1.15  ------ Preprocessing
% 3.10/1.15  
% 3.10/1.15  num_of_splits:                          0
% 3.10/1.15  num_of_split_atoms:                     0
% 3.10/1.15  num_of_reused_defs:                     0
% 3.10/1.15  num_eq_ax_congr_red:                    12
% 3.10/1.15  num_of_sem_filtered_clauses:            0
% 3.10/1.15  num_of_subtypes:                        0
% 3.10/1.15  monotx_restored_types:                  0
% 3.10/1.15  sat_num_of_epr_types:                   0
% 3.10/1.15  sat_num_of_non_cyclic_types:            0
% 3.10/1.15  sat_guarded_non_collapsed_types:        0
% 3.10/1.15  num_pure_diseq_elim:                    0
% 3.10/1.15  simp_replaced_by:                       0
% 3.10/1.15  res_preprocessed:                       0
% 3.10/1.15  sup_preprocessed:                       6
% 3.10/1.15  prep_upred:                             0
% 3.10/1.15  prep_unflattend:                        0
% 3.10/1.15  prep_well_definedness:                  0
% 3.10/1.15  smt_new_axioms:                         0
% 3.10/1.15  pred_elim_cands:                        0
% 3.10/1.15  pred_elim:                              0
% 3.10/1.15  pred_elim_cl:                           0
% 3.10/1.15  pred_elim_cycles:                       0
% 3.10/1.15  merged_defs:                            0
% 3.10/1.15  merged_defs_ncl:                        0
% 3.10/1.15  bin_hyper_res:                          0
% 3.10/1.15  prep_cycles:                            3
% 3.10/1.15  
% 3.10/1.15  splitting_time:                         0.
% 3.10/1.15  sem_filter_time:                        0.001
% 3.10/1.15  monotx_time:                            0.
% 3.10/1.15  subtype_inf_time:                       0.
% 3.10/1.15  res_prep_time:                          0.003
% 3.10/1.15  sup_prep_time:                          0.002
% 3.10/1.15  pred_elim_time:                         0.
% 3.10/1.15  bin_hyper_res_time:                     0.
% 3.10/1.15  prep_time_total:                        0.009
% 3.10/1.15  
% 3.10/1.15  ------ Propositional Solver
% 3.10/1.15  
% 3.10/1.15  prop_solver_calls:                      18
% 3.10/1.15  prop_fast_solver_calls:                 296
% 3.10/1.15  smt_solver_calls:                       0
% 3.10/1.15  smt_fast_solver_calls:                  0
% 3.10/1.15  prop_num_of_clauses:                    681
% 3.10/1.15  prop_preprocess_simplified:             1517
% 3.10/1.15  prop_fo_subsumed:                       0
% 3.10/1.15  
% 3.10/1.15  prop_solver_time:                       0.
% 3.10/1.15  prop_fast_solver_time:                  0.
% 3.10/1.15  prop_unsat_core_time:                   0.
% 3.10/1.15  smt_solver_time:                        0.
% 3.10/1.15  smt_fast_solver_time:                   0.
% 3.10/1.15  
% 3.10/1.15  ------ QBF
% 3.10/1.15  
% 3.10/1.15  qbf_q_res:                              0
% 3.10/1.15  qbf_num_tautologies:                    0
% 3.10/1.15  qbf_prep_cycles:                        0
% 3.10/1.15  
% 3.10/1.15  ------ BMC1
% 3.10/1.15  
% 3.10/1.15  bmc1_current_bound:                     -1
% 3.10/1.15  bmc1_last_solved_bound:                 -1
% 3.10/1.15  bmc1_unsat_core_size:                   -1
% 3.10/1.15  bmc1_unsat_core_parents_size:           -1
% 3.10/1.15  bmc1_merge_next_fun:                    0
% 3.10/1.15  
% 3.10/1.15  bmc1_unsat_core_clauses_time:           0.
% 3.10/1.15  
% 3.10/1.15  ------ Instantiation
% 3.10/1.15  
% 3.10/1.15  inst_num_of_clauses:                    144
% 3.10/1.15  inst_num_in_passive:                    1
% 3.10/1.15  inst_num_in_active:                     78
% 3.10/1.15  inst_num_of_loops:                      87
% 3.10/1.15  inst_num_in_unprocessed:                65
% 3.10/1.15  inst_num_of_learning_restarts:          0
% 3.10/1.15  inst_num_moves_active_passive:          0
% 3.10/1.15  inst_lit_activity:                      0
% 3.10/1.15  inst_lit_activity_moves:                0
% 3.10/1.15  inst_num_tautologies:                   0
% 3.10/1.15  inst_num_prop_implied:                  0
% 3.10/1.15  inst_num_existing_simplified:           0
% 3.10/1.15  inst_num_eq_res_simplified:             0
% 3.10/1.15  inst_num_child_elim:                    0
% 3.10/1.15  inst_num_of_dismatching_blockings:      22
% 3.10/1.15  inst_num_of_non_proper_insts:           111
% 3.10/1.15  inst_num_of_duplicates:                 0
% 3.10/1.15  inst_inst_num_from_inst_to_res:         0
% 3.10/1.15  
% 3.10/1.15  inst_time_sim_new:                      0.003
% 3.10/1.15  inst_time_sim_given:                    0.
% 3.10/1.15  inst_time_dismatching_checking:         0.
% 3.10/1.15  inst_time_total:                        0.016
% 3.10/1.15  
% 3.10/1.15  ------ Resolution
% 3.10/1.15  
% 3.10/1.15  res_num_of_clauses:                     37
% 3.10/1.15  res_num_in_passive:                     19
% 3.10/1.15  res_num_in_active:                      18
% 3.10/1.15  res_num_of_loops:                       75
% 3.10/1.15  res_forward_subset_subsumed:            28
% 3.10/1.15  res_backward_subset_subsumed:           0
% 3.10/1.15  res_forward_subsumed:                   0
% 3.10/1.15  res_backward_subsumed:                  0
% 3.10/1.15  res_forward_subsumption_resolution:     0
% 3.10/1.15  res_backward_subsumption_resolution:    0
% 3.10/1.15  res_clause_to_clause_subsumption:       143
% 3.10/1.15  res_subs_bck_cnt:                       1
% 3.10/1.15  res_orphan_elimination:                 0
% 3.10/1.15  res_tautology_del:                      24
% 3.10/1.15  res_num_eq_res_simplified:              0
% 3.10/1.15  res_num_sel_changes:                    4
% 3.10/1.15  res_moves_from_active_to_pass:          1
% 3.10/1.15  
% 3.10/1.15  res_time_sim_new:                       0.001
% 3.10/1.15  res_time_sim_fw_given:                  0.
% 3.10/1.15  res_time_sim_bw_given:                  0.001
% 3.10/1.15  res_time_total:                         0.004
% 3.10/1.15  
% 3.10/1.15  ------ Superposition
% 3.10/1.15  
% 3.10/1.15  sup_num_of_clauses:                     56
% 3.10/1.15  sup_num_in_active:                      20
% 3.10/1.15  sup_num_in_passive:                     36
% 3.10/1.15  sup_num_of_loops:                       72
% 3.10/1.15  sup_fw_superposition:                   244
% 3.10/1.15  sup_bw_superposition:                   275
% 3.10/1.15  sup_eq_factoring:                       0
% 3.10/1.15  sup_eq_resolution:                      0
% 3.10/1.15  sup_immediate_simplified:               2
% 3.10/1.15  sup_given_eliminated:                   0
% 3.10/1.15  comparisons_done:                       1499
% 3.10/1.15  comparisons_avoided:                    0
% 3.10/1.15  comparisons_inc_criteria:               0
% 3.10/1.15  sup_deep_cl_discarded:                  0
% 3.10/1.15  sup_num_of_deepenings:                  0
% 3.10/1.15  sup_num_of_restarts:                    0
% 3.10/1.15  
% 3.10/1.15  sup_time_generating:                    0.011
% 3.10/1.15  sup_time_sim_fw_full:                   0.002
% 3.10/1.15  sup_time_sim_bw_full:                   0.037
% 3.10/1.15  sup_time_sim_fw_immed:                  0.006
% 3.10/1.15  sup_time_sim_bw_immed:                  0.003
% 3.10/1.15  sup_time_prep_sim_fw_input:             0.001
% 3.10/1.15  sup_time_prep_sim_bw_input:             0.001
% 3.10/1.15  sup_time_total:                         0.076
% 3.10/1.15  
% 3.10/1.15  ------ Simplifications
% 3.10/1.15  
% 3.10/1.15  sim_repeated:                           165
% 3.10/1.15  sim_fw_subset_subsumed:                 0
% 3.10/1.15  sim_bw_subset_subsumed:                 0
% 3.10/1.15  sim_fw_subsumed:                        0
% 3.10/1.15  sim_bw_subsumed:                        0
% 3.10/1.15  sim_fw_subsumption_res:                 0
% 3.10/1.15  sim_bw_subsumption_res:                 0
% 3.10/1.15  sim_fw_unit_subs:                       0
% 3.10/1.15  sim_bw_unit_subs:                       4
% 3.10/1.15  sim_tautology_del:                      0
% 3.10/1.15  sim_eq_tautology_del:                   39
% 3.10/1.15  sim_eq_res_simp:                        0
% 3.10/1.15  sim_fw_demodulated:                     10
% 3.10/1.15  sim_bw_demodulated:                     19
% 3.10/1.15  sim_encompassment_demod:                0
% 3.10/1.15  sim_light_normalised:                   104
% 3.10/1.15  sim_ac_normalised:                      65
% 3.10/1.15  sim_joinable_taut:                      3
% 3.10/1.15  sim_joinable_simp:                      0
% 3.10/1.15  sim_fw_ac_demod:                        0
% 3.10/1.15  sim_bw_ac_demod:                        0
% 3.10/1.15  sim_smt_subsumption:                    0
% 3.10/1.15  sim_smt_simplified:                     0
% 3.10/1.15  sim_ground_joinable:                    1
% 3.10/1.15  sim_bw_ground_joinable:                 0
% 3.10/1.15  sim_connectedness:                      0
% 3.10/1.15  
% 3.10/1.15  sim_time_fw_subset_subs:                0.
% 3.10/1.15  sim_time_bw_subset_subs:                0.
% 3.10/1.15  sim_time_fw_subs:                       0.
% 3.10/1.15  sim_time_bw_subs:                       0.
% 3.10/1.15  sim_time_fw_subs_res:                   0.
% 3.10/1.15  sim_time_bw_subs_res:                   0.
% 3.10/1.15  sim_time_fw_unit_subs:                  0.001
% 3.10/1.15  sim_time_bw_unit_subs:                  0.
% 3.10/1.15  sim_time_tautology_del:                 0.
% 3.10/1.15  sim_time_eq_tautology_del:              0.
% 3.10/1.15  sim_time_eq_res_simp:                   0.
% 3.10/1.15  sim_time_fw_demod:                      0.
% 3.10/1.15  sim_time_bw_demod:                      0.001
% 3.10/1.15  sim_time_light_norm:                    0.001
% 3.10/1.15  sim_time_joinable:                      0.
% 3.10/1.15  sim_time_ac_norm:                       0.003
% 3.10/1.15  sim_time_fw_ac_demod:                   0.
% 3.10/1.15  sim_time_bw_ac_demod:                   0.
% 3.10/1.15  sim_time_smt_subs:                      0.
% 3.10/1.15  sim_time_fw_gjoin:                      0.001
% 3.10/1.15  sim_time_fw_connected:                  0.
% 3.10/1.15  
% 3.10/1.15  
%------------------------------------------------------------------------------