TSTP Solution File: COL006-1 by GKC---0.8
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%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : COL006-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n008.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 : Wed Aug 30 18:26:48 EDT 2023
% Result : Unsatisfiable 218.65s 28.49s
% Output : CNFRefutation 218.65s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named k_definition)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
apply(apply(k,X),Y) = X,
inference(cnf_transformation,[],[k_definition]) ).
cnf('2',plain,
apply(apply(apply(s,X),Y),Z) = apply(apply(X,Z),apply(Y,Z)),
inference(cnf_transformation,[],[s_definition]) ).
cnf('3',plain,
apply(apply(apply(s,X),apply(k,Y)),Z) = apply(apply(X,Z),Y),
inference(paramodulation,[],['1','2']) ).
cnf('4',plain,
apply(apply(apply(s,k),X),Y) = Y,
inference(paramodulation,[],['2','1']) ).
cnf('5',plain,
apply(apply(apply(s,X),apply(apply(s,k),Y)),Z) = apply(apply(X,Z),Z),
inference(paramodulation,[],['4','2']) ).
cnf('6',plain,
apply(apply(apply(s,X3),apply(k,apply(Y3,Z3))),Z3) = apply(apply(apply(s,X3),Y3),Z3),
inference(paramodulation,[],['2','3']) ).
cnf('7',plain,
apply(apply(X,Y),apply(Z,Y)) = apply(apply(apply(s,X),Z),Y),
inference(simplify,[],['6','3']) ).
cnf('8',plain,
apply(apply(apply(apply(s,X),apply(apply(s,k),Y)),Z),apply(U,Z)) = apply(apply(apply(s,apply(X,Z)),U),Z),
inference(paramodulation,[],['5','7']) ).
cnf('9',plain,
apply(apply(apply(apply(s,X3),apply(apply(s,k),Y3)),Z3),apply(apply(k,U3),Z3)) = apply(apply(apply(X3,Z3),Z3),U3),
inference(paramodulation,[],['3','8']) ).
cnf('10',plain,
apply(apply(apply(apply(s,X),apply(apply(s,k),Y)),Z),U) = apply(apply(apply(X,Z),Z),U),
inference(simplify,[],['9','1']) ).
cnf('11',plain,
apply(apply(apply(s,apply(k,X)),Y),Z) = apply(X,apply(Y,Z)),
inference(paramodulation,[],['1','2']) ).
cnf('12',plain,
apply(apply(apply(s,apply(apply(s,apply(k,X)),Y)),Z),U) = apply(apply(X,apply(Y,U)),apply(Z,U)),
inference(paramodulation,[],['11','2']) ).
cnf('13',plain,
apply(apply(apply(s,apply(apply(s,k),X)),Y),Z) = apply(Z,apply(Y,Z)),
inference(paramodulation,[],['4','2']) ).
cnf('14',plain,
apply(X,f(X)) != apply(f(X),apply(X,f(X))),
inference(cnf_transformation,[],[prove_fixed_point]) ).
cnf('15',plain,
apply(X,f(X)) != apply(apply(apply(s,apply(apply(s,k),Y)),X),f(X)),
inference(paramodulation,[],['13','14']) ).
cnf('16',plain,
apply(apply(X,Y),f(apply(X,Y))) != apply(apply(apply(apply(s,apply(apply(s,apply(k,s)),apply(s,k))),X),Y),f(apply(X,Y))),
inference(paramodulation,[],['12','15']) ).
cnf('17',plain,
$false,
inference(resolution,[],['10','16']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.13 % Command : gkc %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Aug 27 05:00:02 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.39
% 0.12/0.39 input clause set summed statistics:
% 0.12/0.39 ----------------------------------
% 0.12/0.39 in_clause_count: 3
% 0.12/0.39 in_rule_clause_count: 3
% 0.12/0.39 in_fact_clause_count: 0
% 0.12/0.39 in_answer_clause_count: 0
% 0.12/0.39 in_ground_clause_count: 0
% 0.12/0.39 in_unit_clause_count: 3
% 0.12/0.39 in_horn_clause_count: 3
% 0.12/0.39 in_pos_clause_count: 2
% 0.12/0.39 in_neg_clause_count: 1
% 0.12/0.39 in_poseq_clause_count: 2
% 0.12/0.39 in_negeq_clause_count: 1
% 0.12/0.39 in_unitposeq_clause_count: 2
% 0.12/0.39 in_chain_clause_count: 0
% 0.12/0.39 in_min_length: 1
% 0.12/0.39 in_max_length: 1
% 0.12/0.39 in_min_depth: 3
% 0.12/0.39 in_max_depth: 4
% 0.12/0.39 in_min_size: 7
% 0.12/0.39 in_max_size: 15
% 0.12/0.39 in_min_vars: 1
% 0.12/0.39 in_max_vars: 3
% 0.12/0.39 in_extaxiom_count: 0
% 0.12/0.39 in_axiom_count: 2
% 0.12/0.39 in_assumption_count: 0
% 0.12/0.39 in_goal_count: 1
% 0.12/0.39 in_neg_goal_count: 1
% 0.12/0.39 in_pos_goal_count: 0
% 0.12/0.39 in_posunit_goal_count: 0
% 0.12/0.39
% 0.12/0.39 auto guide:
% 0.12/0.39 -----------
% 0.12/0.39 {
% 0.12/0.39 "print":1,
% 0.12/0.39 "print_level": 15,
% 0.12/0.39 "max_size": 0,
% 0.12/0.39 "max_depth": 0,
% 0.12/0.39 "max_length": 0,
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% 0.12/0.39
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% 40.24/5.62
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% 51.31/6.98
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% 51.31/6.98 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_size":30}
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% 52.37/7.17 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
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% 54.11/7.33 fork 7: search finished without proof.
% 54.11/7.35
% 54.11/7.35 **** run 128 fork 7 starts with strategy
% 54.11/7.35 {"max_dseconds":10,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0}
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% 57.35/7.78 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_size":10}
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% 57.80/7.82 **** run 125 fork 4 starts with strategy
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% 59.16/8.03 {"max_dseconds":10,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1}
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% 59.64/8.05 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_size":15}
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% 59.73/8.08 fork 5: search finished without proof.
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% 59.73/8.10 **** run 126 fork 5 starts with strategy
% 59.73/8.10 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 60.19/8.12
% 60.19/8.12 fork 5: search finished without proof.
% 60.19/8.15
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% 60.19/8.15 {"max_dseconds":50,"strategy":["unit"],"query_preference":0}
% 60.48/8.16
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% 60.48/8.19 **** run 115 fork 2 starts with strategy
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% 60.48/8.28
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% 60.48/8.39 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":10}
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% 63.88/8.66 fork 6: search finished without proof.
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% 64.37/8.74
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% 64.37/8.74 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_size":40}
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% 67.85/9.21
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% 76.79/10.28 **** run 131 fork 2 starts with strategy
% 76.79/10.28 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100}
% 77.11/10.31
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% 77.11/10.33
% 77.11/10.33 **** run 139 fork 2 starts with strategy
% 77.11/10.33 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 78.38/10.49
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% 78.38/10.51 {"max_dseconds":10,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth":4}
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% 79.15/10.56
% 79.15/10.56 **** run 140 fork 3 starts with strategy
% 79.15/10.56 {"max_dseconds":50,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 84.24/11.27
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% 84.24/11.30
% 84.24/11.30 **** run 138 fork 1 starts with strategy
% 84.24/11.30 {"max_dseconds":50,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 100.15/13.63
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% 100.15/13.63 fork 5: search terminated without proof.
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% 102.59/13.69 **** run 142 fork 5 starts with strategy
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% 105.60/13.99
% 105.60/13.99 **** run 141 fork 4 starts with strategy
% 105.60/13.99 {"max_dseconds":50,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 107.20/14.15
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% 107.20/14.15 fork 0: search terminated without proof.
% 107.38/14.21
% 107.38/14.21 **** run 145 fork 0 starts with strategy
% 107.38/14.21 {"max_dseconds":50,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 118.16/15.60
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% 118.16/15.60 fork 2: search terminated without proof.
% 118.84/15.66
% 118.84/15.66 **** run 147 fork 2 starts with strategy
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% 119.57/15.89
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% 126.23/16.78
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% 126.23/16.84
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% 142.54/18.74
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% 142.54/18.74 fork 5: search terminated without proof.
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% 143.88/18.89 fork 6: search terminated without proof.
% 144.04/18.89
% 144.04/18.89 **** run 152 fork 7 starts with strategy
% 144.04/18.89 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para"],"query_preference":0}
% 144.31/18.94
% 144.31/18.94 **** run 151 fork 6 starts with strategy
% 144.31/18.94 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para"],"query_preference":1}
% 144.93/19.03
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% 145.50/19.09
% 145.50/19.09 **** run 149 fork 4 starts with strategy
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% 146.42/19.26 fork 0: search terminated without proof.
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% 146.42/19.30 **** run 153 fork 0 starts with strategy
% 146.42/19.30 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 158.62/21.03
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% 158.62/21.07 **** run 155 fork 2 starts with strategy
% 158.62/21.07 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 163.78/21.44
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% 163.78/21.49
% 163.78/21.49 **** run 156 fork 3 starts with strategy
% 163.78/21.49 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20}
% 165.93/21.88
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% 165.93/21.88 fork 1: search terminated without proof.
% 165.93/21.92
% 165.93/21.92 **** run 154 fork 1 starts with strategy
% 165.93/21.92 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 182.23/23.84
% 182.23/23.84
% 182.23/23.84 fork 5: search terminated without proof.
% 182.79/23.88
% 182.79/23.88 **** run 158 fork 5 starts with strategy
% 182.79/23.88 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 182.79/23.92
% 182.79/23.92
% 182.79/23.92 fork 7: search terminated without proof.
% 183.56/23.97
% 183.56/23.97
% 183.56/23.97 fork 6: search terminated without proof.
% 183.56/23.98
% 183.56/23.98 **** run 160 fork 7 starts with strategy
% 183.56/23.98 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1}
% 184.04/24.04
% 184.04/24.04 **** run 159 fork 6 starts with strategy
% 184.04/24.04 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 185.20/24.33
% 185.20/24.33
% 185.20/24.33 fork 0: search terminated without proof.
% 185.20/24.38
% 185.20/24.38 **** run 161 fork 0 starts with strategy
% 185.20/24.38 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 191.22/25.09
% 191.22/25.09
% 191.22/25.09 fork 4: search terminated without proof.
% 191.22/25.14
% 191.22/25.14 **** run 157 fork 4 starts with strategy
% 191.22/25.14 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20}
% 197.83/26.10
% 197.83/26.10
% 197.83/26.10 fork 2: search terminated without proof.
% 197.83/26.15
% 197.83/26.15 **** run 163 fork 2 starts with strategy
% 197.83/26.15 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 203.01/26.53
% 203.01/26.53
% 203.01/26.53 fork 3: search terminated without proof.
% 203.67/26.58
% 203.67/26.58 **** run 164 fork 3 starts with strategy
% 203.67/26.58 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 205.11/27.04
% 205.11/27.04
% 205.11/27.04 fork 1: search terminated without proof.
% 205.11/27.09
% 205.11/27.09 **** run 162 fork 1 starts with strategy
% 205.11/27.09 {"max_dseconds":50,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 218.65/28.49
% 218.65/28.49
% 218.65/28.49 result: proof found
% 218.65/28.49 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 218.65/28.49 by run 158 fork 5 strategy {"max_dseconds":50,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 218.65/28.49 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 218.65/28.49
% 218.65/28.49 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 218.65/28.49
% 218.65/28.49 run 158 fork 5 statistics:
% 218.65/28.49 ----------------------------------
% 218.65/28.49 this run seconds: 3.688970
% 218.65/28.49 total seconds: 26.552240
% 218.65/28.49 stat_given_used: 1651
% 218.65/28.49 stat_given_used_at_endgame: 0
% 218.65/28.49 stat_given_candidates: 7950
% 218.65/28.49 stat_given_candidates_at_endgame: 0
% 218.65/28.49 stat_given_candidates_h: 0
% 218.65/28.49 stat_binres_derived_cl: 1
% 218.65/28.49 stat_binres_derived_cl_h: 0
% 218.65/28.49 stat_factor_derived_cl: 0
% 218.65/28.49 stat_para_derived_cl: 233441
% 218.65/28.49 stat_tautologies_discarded: 0
% 218.65/28.49 stat_forward_subsumed: 56609
% 218.65/28.49 stat_derived_cut: 0
% 218.65/28.49 stat_derived_rewritten: 1662
% 218.65/28.49 stat_weight_discarded_building: 0
% 218.65/28.49 stat_weight_discarded_cl: 38779
% 218.65/28.49 stat_internlimit_discarded_cl: 0
% 218.65/28.49 stat_simplified: 1662 simplified 0 derived 0 given
% 218.65/28.49 stat_kept_cl: 137381
% 218.65/28.49 stat_built_cl: 181124
% 218.65/28.49 stat_hyperres_partial_cl: 0
% 218.65/28.49 stat_made_rewriters: 147
% 218.65/28.49 stat_backward_subsumed: 0
% 218.65/28.49 stat_propagated_subsumed: 0
% 218.65/28.49 stat_clsubs_attempted: 438324
% 218.65/28.49 stat_clsubs_fact_groundunit_found: 0
% 218.65/28.49 stat_clsubs_rule_groundunit_found: 10
% 218.65/28.49 stat_clsubs_top_meta_attempted: 2501304
% 218.65/28.49 stat_clsubs_top_meta_failed: 2062980
% 218.65/28.49 stat_clsubs_top_meta_nonpref_attempted: 2501304
% 218.65/28.49 stat_clsubs_top_meta_nonpref_succeeded: 700729
% 218.65/28.49 stat_clsubs_top_meta_pref_attempted: 700729
% 218.65/28.49 stat_clsubs_top_meta_pref1_succeeded: 510886
% 218.65/28.49 stat_clsubs_top_meta_pref2_succeeded: 450604
% 218.65/28.49 stat_clsubs_top_meta_pref3_succeeded: 438324
% 218.65/28.49 stat_clsubs_top_meta_pref_succeeded: 438324
% 218.65/28.49 stat_clsubs_meta_attempted: 438324
% 218.65/28.49 stat_clsubs_meta_failed: 173
% 218.65/28.49 stat_clsubs_predsymbs_attempted: 0
% 218.65/28.49 stat_clsubs_unit_attempted: 438324
% 218.65/28.49 stat_clsubs_full_attempted: 0
% 218.65/28.49 stat_forwardsubs_attempted: 232769
% 218.65/28.49 stat_lit_hash_added: 137511
% 218.65/28.49 stat_lit_hash_computed: 377169
% 218.65/28.49 stat_lit_hash_match_found: 58388
% 218.65/28.49 stat_lit_hash_match_miss: 359092
% 218.65/28.49 stat_lit_hash_cut_ok: 0
% 218.65/28.49 stat_lit_strong_cut_ok: 0
% 218.65/28.49 stat_lit_hash_subsume_ok: 56609
% 218.65/28.49 clqueue els 10000000 used 1
% 218.65/28.49 clactive els 10000000 used 1652
% 218.65/28.49 clactivesubsume els 10000000 used 9145
% 218.65/28.49 queue_termbuf els 200000000 used 28018516
% 218.65/28.49 hyper_termbuf els 100000000 used 1
% 218.65/28.49 active_termbuf els 100000000 used 188605
% 218.65/28.49 varstack els 5000 last used 1
% 218.65/28.49 given_termbuf els 10000000 last used 77
% 218.65/28.49 simplified_termbuf els 10000000 last used 1
% 218.65/28.49 derived_termbuf els 10000000 last used 3
% 218.65/28.49 wr_mallocs: 143939
% 218.65/28.49 wr_callocs: 19
% 218.65/28.49 wr_reallocs: 13923
% 218.65/28.49 wr_frees: 2
% 218.65/28.49 wr_malloc_bytes: 4169320628
% 218.65/28.49 wr_calloc_bytes: 96065504
% 218.65/28.49 wr_realloc_bytes: 3472240
% 218.65/28.49 wr_realloc_freebytes: 0
% 218.65/28.49 ----------------------------------
%------------------------------------------------------------------------------