TSTP Solution File: LCL161-1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : LCL161-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n006.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 07:37:32 EDT 2023

% Result   : Unsatisfiable 0.22s 0.45s
% Output   : CNFRefutation 0.22s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named '$inc_axiom_7')

% Comments : 
%------------------------------------------------------------------------------
cnf('1',plain,
    xor(X0,xor(truth,X1)) = xor(xor(X0,truth),X1),
    inference(cnf_transformation,[],['$inc_axiom_7']) ).

cnf('2',plain,
    xor(X,Y) = xor(Y,X),
    inference(cnf_transformation,[],[xor_commutativity]) ).

cnf('3',plain,
    not(X) = xor(X,truth),
    inference(cnf_transformation,[],['$inc_axiom_1']) ).

cnf('4',plain,
    not(X) = xor(truth,X),
    inference(paramodulation,[],['2','3']) ).

cnf('5',plain,
    xor(X,not(Y)) = xor(not(X),Y),
    inference(simplify,[then_simplify],['1','4','3']) ).

cnf('6',plain,
    not(not(X3)) = xor(X3,not(truth)),
    inference(paramodulation,[],['5','3']) ).

cnf('7',plain,
    not(truth) = falsehood,
    inference(cnf_transformation,[],[false_definition]) ).

cnf('8',plain,
    xor(X,falsehood) = X,
    inference(cnf_transformation,[],['$inc_axiom_2']) ).

cnf('9',plain,
    not(not(X)) = X,
    inference(simplify,[then_simplify],['6','7','8']) ).

cnf('10',plain,
    and_star(X,Y) = and_star(Y,X),
    inference(cnf_transformation,[],[and_star_commutativity]) ).

cnf('11',plain,
    and_star(X,truth) = X,
    inference(cnf_transformation,[],['$inc_axiom_4']) ).

cnf('12',plain,
    and_star(truth,X) = X,
    inference(paramodulation,[],['10','11']) ).

cnf('13',plain,
    implies(X,Y) = xor(truth,and_star(X,xor(truth,Y))),
    inference(cnf_transformation,[],[implies_definition]) ).

cnf('14',plain,
    implies(truth,X) = xor(truth,xor(truth,X)),
    inference(paramodulation,[],['12','13']) ).

cnf('15',plain,
    implies(truth,X3) = not(xor(truth,X3)),
    inference(paramodulation,[],['4','14']) ).

cnf('16',plain,
    implies(truth,X) = not(not(X)),
    inference(simplify,[],['15','4']) ).

cnf('17',plain,
    implies(truth,x) != x,
    inference(cnf_transformation,[],[prove_wajsberg_axiom]) ).

cnf('18',plain,
    $false,
    inference(paramodulation,[then_simplify],['9','16','17']) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem  : LCL161-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.15  % Command  : gkc %s
% 0.15/0.36  % Computer : n006.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Fri Aug 25 05:47:07 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.22/0.41  
% 0.22/0.41  input clause set summed statistics:
% 0.22/0.41  ----------------------------------
% 0.22/0.41  in_clause_count:                    14
% 0.22/0.41  in_rule_clause_count:               14
% 0.22/0.41  in_fact_clause_count:                0
% 0.22/0.41  in_answer_clause_count:              0
% 0.22/0.41  in_ground_clause_count:              2
% 0.22/0.41  in_unit_clause_count:               14
% 0.22/0.41  in_horn_clause_count:               14
% 0.22/0.41  in_pos_clause_count:                13
% 0.22/0.41  in_neg_clause_count:                 1
% 0.22/0.41  in_poseq_clause_count:              13
% 0.22/0.41  in_negeq_clause_count:               1
% 0.22/0.41  in_unitposeq_clause_count:          13
% 0.22/0.41  in_chain_clause_count:               0
% 0.22/0.41  in_min_length:             1
% 0.22/0.41  in_max_length:             1
% 0.22/0.41  in_min_depth:              2
% 0.22/0.41  in_max_depth:              5
% 0.22/0.41  in_min_size:               4
% 0.22/0.41  in_max_size:              19
% 0.22/0.41  in_min_vars:               0
% 0.22/0.41  in_max_vars:               3
% 0.22/0.41  in_extaxiom_count:                 8
% 0.22/0.41  in_axiom_count:                    5
% 0.22/0.41  in_assumption_count:               0
% 0.22/0.41  in_goal_count:                     1
% 0.22/0.41  in_neg_goal_count:                 1
% 0.22/0.41  in_pos_goal_count:                 0
% 0.22/0.41  in_posunit_goal_count:             0
% 0.22/0.41  
% 0.22/0.41  auto guide:
% 0.22/0.41  -----------
% 0.22/0.41  {
% 0.22/0.41  "print":1,
% 0.22/0.41  "print_level": 15,
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% 0.22/0.41  "max_depth": 0,
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% 0.22/0.41  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
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% 0.22/0.41  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.22/0.41  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
% 0.22/0.41  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.22/0.41  {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.22/0.41  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.22/0.41  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
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% 0.22/0.41  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
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% 0.22/0.41  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
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% 0.22/0.41  {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"var_weight":1},
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% 0.22/0.41  {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.22/0.41  {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.22/0.41  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.22/0.41  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.22/0.41  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.22/0.41  {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.22/0.41  {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.22/0.41  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1},
% 0.22/0.41  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "rewrite":0},
% 0.22/0.41  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "sine":1, "weight_select_ratio":2},
% 0.22/0.41  {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "sine":2},
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% 0.22/0.41  
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% 0.22/0.41  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.22/0.41  {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
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% 0.22/0.41  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.22/0.41  {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
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% 0.22/0.41  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
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% 0.22/0.41  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
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% 0.22/0.41  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
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% 0.22/0.41  {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 0},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 1},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["query_focus"], "query_preference": 2},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 6},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 8},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "max_depth": 10},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":10},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":15},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":20, "weight_select_ratio":2},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":40},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"var_weight":1, "repeat_var_weight":1},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.22/0.41  {"max_dseconds": 1250,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "rewrite":0},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "weight_select_ratio":2},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "sine":2},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":2},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 0, "sine":1},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "depth_penalty":50},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "query_preference": 1, "sine":1, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.22/0.41  {"max_dseconds": 1250, "strategy":["unit"], "var_weight":70,"repeat_var_weight":70,"query_preference":1, "sine":1} 
% 0.22/0.41  
% 0.22/0.41  ]}
% 0.22/0.41  
% 0.22/0.41  
% 0.22/0.41  **** run 1 fork 0 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.22/0.41  
% 0.22/0.41  **** run 2 fork 1 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.22/0.41  
% 0.22/0.41  **** run 3 fork 2 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.22/0.41  
% 0.22/0.41  **** run 4 fork 3 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.22/0.41  
% 0.22/0.41  **** run 5 fork 4 starts with strategy
% 0.22/0.41  
% 0.22/0.41  **** run 6 fork 5 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.22/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.22/0.41  
% 0.22/0.41  **** run 7 fork 6 starts with strategy
% 0.22/0.41  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.22/0.42  
% 0.22/0.42  **** run 8 fork 7 starts with strategy
% 0.22/0.42  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.22/0.45  
% 0.22/0.45  
% 0.22/0.45  result: proof found
% 0.22/0.45  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.22/0.45  by run 7 fork 6 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.22/0.45  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.22/0.45  
% 0.22/0.45  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% See solution above
% 0.22/0.45  
% 0.22/0.45  run 7 fork 6 statistics:
% 0.22/0.45  ----------------------------------
% 0.22/0.45  this run seconds: 0.015271
% 0.22/0.45  total seconds: 0.039971
% 0.22/0.45  stat_given_used: 49
% 0.22/0.45  stat_given_used_at_endgame: 0
% 0.22/0.45  stat_given_candidates:   303
% 0.22/0.45  stat_given_candidates_at_endgame: 0
% 0.22/0.45  stat_given_candidates_h: 0
% 0.22/0.45  stat_binres_derived_cl:   0
% 0.22/0.45  stat_binres_derived_cl_h: 0
% 0.22/0.45  stat_factor_derived_cl: 0
% 0.22/0.45  stat_para_derived_cl: 1080
% 0.22/0.45  stat_tautologies_discarded: 0
% 0.22/0.45  stat_forward_subsumed: 257
% 0.22/0.45  stat_derived_cut: 1
% 0.22/0.45  stat_derived_rewritten: 9
% 0.22/0.45  stat_weight_discarded_building: 0
% 0.22/0.45  stat_weight_discarded_cl: 0
% 0.22/0.45  stat_internlimit_discarded_cl: 0
% 0.22/0.45  stat_simplified:  9 simplified 0 derived 0 given
% 0.22/0.45  stat_kept_cl: 662
% 0.22/0.45  stat_built_cl: 769
% 0.22/0.45  stat_hyperres_partial_cl: 0
% 0.22/0.45  stat_made_rewriters: 43
% 0.22/0.45  stat_backward_subsumed: 0
% 0.22/0.45  stat_propagated_subsumed: 0
% 0.22/0.45  stat_clsubs_attempted:                       136
% 0.22/0.45  stat_clsubs_fact_groundunit_found:             0
% 0.22/0.45  stat_clsubs_rule_groundunit_found:             1
% 0.22/0.45  stat_clsubs_top_meta_attempted:               1083
% 0.22/0.45  stat_clsubs_top_meta_failed:                   947
% 0.22/0.45  stat_clsubs_top_meta_nonpref_attempted:                1083
% 0.22/0.45  stat_clsubs_top_meta_nonpref_succeeded:                 559
% 0.22/0.45  stat_clsubs_top_meta_pref_attempted:                    559
% 0.22/0.45  stat_clsubs_top_meta_pref1_succeeded:                   559
% 0.22/0.45  stat_clsubs_top_meta_pref2_succeeded:                   190
% 0.22/0.45  stat_clsubs_top_meta_pref3_succeeded:                   136
% 0.22/0.45  stat_clsubs_top_meta_pref_succeeded:                    136
% 0.22/0.45  stat_clsubs_meta_attempted:                  136
% 0.22/0.45  stat_clsubs_meta_failed:                       3
% 0.22/0.45  stat_clsubs_predsymbs_attempted:               0
% 0.22/0.45  stat_clsubs_unit_attempted:                  136
% 0.22/0.45  stat_clsubs_full_attempted:                    0
% 0.22/0.45  stat_forwardsubs_attempted:                  920
% 0.22/0.45  stat_lit_hash_added:                    679
% 0.22/0.45  stat_lit_hash_computed:                1654
% 0.22/0.45  stat_lit_hash_match_found:              258
% 0.22/0.45  stat_lit_hash_match_miss:              1389
% 0.22/0.45  stat_lit_hash_cut_ok:                     0
% 0.22/0.45  stat_lit_strong_cut_ok:                   1
% 0.22/0.45  stat_lit_hash_subsume_ok:               257
% 0.22/0.45  clqueue els 10000000 used 1
% 0.22/0.45  clactive els 10000000 used 50
% 0.22/0.45  clactivesubsume els 10000000 used 277
% 0.22/0.45  queue_termbuf els 200000000 used 39029
% 0.22/0.45  hyper_termbuf els 100000000 used 1
% 0.22/0.45  active_termbuf els 100000000 used 1567
% 0.22/0.45  varstack els 5000 last used 1
% 0.22/0.45  given_termbuf els 10000000 last used 1
% 0.22/0.45  simplified_termbuf els 10000000 last used 1
% 0.22/0.45  derived_termbuf els 10000000 last used 30
% 0.22/0.45  wr_mallocs: 3162
% 0.22/0.45  wr_callocs: 21
% 0.22/0.45  wr_reallocs: 81
% 0.22/0.45  wr_frees: 2
% 0.22/0.45  wr_malloc_bytes: 4162690228
% 0.22/0.45  wr_calloc_bytes: 112065536
% 0.22/0.45  wr_realloc_bytes: 13144
% 0.22/0.45  wr_realloc_freebytes: 0
% 0.22/0.45  ----------------------------------
%------------------------------------------------------------------------------