TSTP Solution File: COL057-1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : COL057-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n009.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 18:27:07 EDT 2023
% Result : Unsatisfiable 7.22s 1.29s
% Output : CNFRefutation 7.22s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named i_definition)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
apply(i,X) = X,
inference(cnf_transformation,[],[i_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),i),Y) = apply(apply(X,Y),Y),
inference(paramodulation,[],['1','2']) ).
cnf('4',plain,
apply(apply(apply(b,X),Y),Z) = apply(X,apply(Y,Z)),
inference(cnf_transformation,[],[b_definition]) ).
cnf('5',plain,
apply(apply(apply(s,apply(b,X)),i),Y) = apply(X,apply(Y,Y)),
inference(paramodulation,[],['3','4']) ).
cnf('6',plain,
apply(apply(apply(s,i),X),Y) = apply(Y,apply(X,Y)),
inference(paramodulation,[],['1','2']) ).
cnf('7',plain,
apply(X0,f(X0)) != apply(f(X0),apply(X0,f(X0))),
inference(cnf_transformation,[],[prove_strong_fixed_point]) ).
cnf('8',plain,
$false,
inference(paramodulation,[then_simplify],['5','6','7']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COL057-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.12 % Command : gkc %s
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Aug 27 04:29:50 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.38
% 0.12/0.38 input clause set summed statistics:
% 0.12/0.38 ----------------------------------
% 0.12/0.38 in_clause_count: 5
% 0.12/0.38 in_rule_clause_count: 5
% 0.12/0.38 in_fact_clause_count: 0
% 0.12/0.38 in_answer_clause_count: 0
% 0.12/0.38 in_ground_clause_count: 0
% 0.12/0.38 in_unit_clause_count: 5
% 0.12/0.38 in_horn_clause_count: 5
% 0.12/0.38 in_pos_clause_count: 4
% 0.12/0.38 in_neg_clause_count: 1
% 0.12/0.38 in_poseq_clause_count: 4
% 0.12/0.38 in_negeq_clause_count: 1
% 0.12/0.38 in_unitposeq_clause_count: 4
% 0.12/0.38 in_chain_clause_count: 0
% 0.12/0.38 in_min_length: 1
% 0.12/0.38 in_max_length: 1
% 0.12/0.38 in_min_depth: 2
% 0.12/0.38 in_max_depth: 4
% 0.12/0.38 in_min_size: 5
% 0.12/0.38 in_max_size: 15
% 0.12/0.38 in_min_vars: 1
% 0.12/0.38 in_max_vars: 3
% 0.12/0.38 in_extaxiom_count: 0
% 0.12/0.38 in_axiom_count: 4
% 0.12/0.38 in_assumption_count: 0
% 0.12/0.38 in_goal_count: 1
% 0.12/0.38 in_neg_goal_count: 1
% 0.12/0.38 in_pos_goal_count: 0
% 0.12/0.38 in_posunit_goal_count: 0
% 0.12/0.38
% 0.12/0.38 auto guide:
% 0.12/0.38 -----------
% 0.12/0.38 {
% 0.12/0.38 "print":1,
% 0.12/0.38 "print_level": 15,
% 0.12/0.38 "max_size": 0,
% 0.12/0.38 "max_depth": 0,
% 0.12/0.38 "max_length": 0,
% 0.12/0.38 "max_dseconds": 0,
% 0.12/0.38 "runs":[
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% 1.32/0.56 **** run 14 fork 5 starts with strategy
% 1.32/0.56 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 2.04/0.64
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% 2.04/0.64 fork 4: search terminated without proof.
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% 2.04/0.64 fork 1: search terminated without proof.
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% 2.04/0.65 fork 7: search terminated without proof.
% 2.04/0.66
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% 2.04/0.66 fork 6: search terminated without proof.
% 2.04/0.66
% 2.04/0.66 **** run 21 fork 4 starts with strategy
% 2.04/0.66
% 2.04/0.66 **** run 18 fork 1 starts with strategy
% 2.04/0.66 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 2.04/0.66 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 2.04/0.66
% 2.04/0.66
% 2.04/0.66 fork 3: search terminated without proof.
% 2.04/0.67
% 2.04/0.67 **** run 19 fork 2 starts with strategy
% 2.04/0.67 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1}
% 2.04/0.67
% 2.04/0.67 **** run 24 fork 7 starts with strategy
% 2.04/0.67 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20}
% 2.04/0.67
% 2.04/0.67 **** run 23 fork 6 starts with strategy
% 2.04/0.67 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 2.04/0.68
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% 2.04/0.68 fork 5: search terminated without proof.
% 2.04/0.68
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% 2.04/0.68 fork 0: search terminated without proof.
% 2.04/0.68
% 2.04/0.68 **** run 20 fork 3 starts with strategy
% 2.04/0.68 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0}
% 2.54/0.69
% 2.54/0.69 **** run 22 fork 5 starts with strategy
% 2.54/0.69 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 2.54/0.70
% 2.54/0.70 **** run 17 fork 0 starts with strategy
% 2.54/0.70 {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 3.09/0.79
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% 3.09/0.79 fork 6: search terminated without proof.
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% 3.09/0.79 fork 1: search terminated without proof.
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% 3.09/0.80 fork 7: search terminated without proof.
% 3.40/0.81
% 3.40/0.81 **** run 31 fork 6 starts with strategy
% 3.40/0.81 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 3.40/0.81
% 3.40/0.81 **** run 26 fork 1 starts with strategy
% 3.40/0.81 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 3.40/0.81
% 3.40/0.81 **** run 29 fork 4 starts with strategy
% 3.40/0.81 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 3.40/0.82
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% 3.40/0.82 fork 3: search terminated without proof.
% 3.40/0.82
% 3.40/0.82 **** run 32 fork 7 starts with strategy
% 3.40/0.82 {"max_dseconds":1,"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}
% 3.40/0.82
% 3.40/0.82 **** run 27 fork 2 starts with strategy
% 3.40/0.82 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 3.40/0.83
% 3.40/0.83
% 3.40/0.83 fork 5: search terminated without proof.
% 3.67/0.84
% 3.67/0.84 **** run 28 fork 3 starts with strategy
% 3.67/0.84 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1}
% 3.67/0.84
% 3.67/0.84
% 3.67/0.84 fork 0: search terminated without proof.
% 3.67/0.85
% 3.67/0.85 **** run 30 fork 5 starts with strategy
% 3.67/0.85 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 3.67/0.86
% 3.67/0.86 **** run 25 fork 0 starts with strategy
% 3.67/0.86 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para"],"query_preference":0,"weight_select_ratio":20}
% 3.67/0.93
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% 3.67/0.93 fork 1: search terminated without proof.
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% 4.45/0.93 fork 4: search terminated without proof.
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% 4.45/0.94 fork 6: search terminated without proof.
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% 4.45/0.94 fork 7: search terminated without proof.
% 4.45/0.94
% 4.45/0.94 **** run 34 fork 1 starts with strategy
% 4.45/0.94 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20}
% 4.45/0.95
% 4.45/0.95 **** run 37 fork 4 starts with strategy
% 4.45/0.95 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"rewrite":0}
% 4.45/0.95
% 4.45/0.95 **** run 35 fork 2 starts with strategy
% 4.45/0.95 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 4.45/0.96
% 4.45/0.96 **** run 39 fork 6 starts with strategy
% 4.45/0.96 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":2}
% 4.45/0.96
% 4.45/0.96 **** run 40 fork 7 starts with strategy
% 4.45/0.96 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50,"var_weight":1,"repeat_var_weight":1}
% 4.45/0.96
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% 4.45/0.96 fork 3: search terminated without proof.
% 4.45/0.97
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% 4.45/0.97 fork 5: search terminated without proof.
% 4.45/0.98
% 4.45/0.98 **** run 36 fork 3 starts with strategy
% 4.45/0.98 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50}
% 4.45/0.99
% 4.45/0.99 **** run 38 fork 5 starts with strategy
% 4.45/0.99 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"rewrite":0}
% 4.95/1.00
% 4.95/1.00
% 4.95/1.00 fork 0: search terminated without proof.
% 4.95/1.02
% 4.95/1.02 **** run 33 fork 0 starts with strategy
% 4.95/1.02 {"max_dseconds":1,"strategy":["unit","prohibit_deep_para","prohibit_unordered_para"],"query_preference":1,"weight_select_ratio":20}
% 5.49/1.06
% 5.49/1.06
% 5.49/1.06 fork 1: search terminated without proof.
% 5.49/1.07
% 5.49/1.07
% 5.49/1.07 fork 4: search terminated without proof.
% 5.56/1.08
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% 5.56/1.08 fork 6: search terminated without proof.
% 5.56/1.08
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% 5.56/1.08 fork 7: search terminated without proof.
% 5.56/1.08
% 5.56/1.08 **** run 42 fork 1 starts with strategy
% 5.56/1.08 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":0}
% 5.56/1.09
% 5.56/1.09 **** run 45 fork 4 starts with strategy
% 5.56/1.09 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 5.56/1.09
% 5.56/1.09
% 5.56/1.09 fork 2: search terminated without proof.
% 5.56/1.10
% 5.56/1.10 **** run 47 fork 6 starts with strategy
% 5.56/1.10 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":4}
% 5.56/1.10
% 5.56/1.10 **** run 48 fork 7 starts with strategy
% 5.56/1.10 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":6}
% 5.56/1.10
% 5.56/1.10 **** run 43 fork 2 starts with strategy
% 5.56/1.10 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 5.56/1.11
% 5.56/1.11
% 5.56/1.11 fork 5: search terminated without proof.
% 5.56/1.11
% 5.56/1.11
% 5.56/1.11 fork 3: search terminated without proof.
% 5.87/1.12
% 5.87/1.12 **** run 46 fork 5 starts with strategy
% 5.87/1.12 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":2}
% 5.87/1.13
% 5.87/1.13 fork 6: search finished without proof.
% 5.87/1.13
% 5.87/1.13 **** run 44 fork 3 starts with strategy
% 5.87/1.13 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":2}
% 5.87/1.14
% 5.87/1.14
% 5.87/1.14 fork 0: search terminated without proof.
% 5.87/1.14
% 5.87/1.14 **** run 55 fork 6 starts with strategy
% 5.87/1.14 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":30}
% 6.15/1.15
% 6.15/1.15 fork 5: search finished without proof.
% 6.15/1.16
% 6.15/1.16 **** run 41 fork 0 starts with strategy
% 6.15/1.16 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"var_weight":1,"repeat_var_weight":1}
% 6.15/1.16
% 6.15/1.16 **** run 54 fork 5 starts with strategy
% 6.15/1.16 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":20,"weight_select_ratio":2}
% 6.15/1.20
% 6.15/1.20
% 6.15/1.20 fork 1: search terminated without proof.
% 6.15/1.21
% 6.15/1.21
% 6.15/1.21 fork 4: search terminated without proof.
% 6.15/1.21
% 6.15/1.21 **** run 50 fork 1 starts with strategy
% 6.15/1.21 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":10}
% 6.15/1.22
% 6.15/1.22
% 6.15/1.22 fork 7: search terminated without proof.
% 6.15/1.22
% 6.15/1.22 **** run 53 fork 4 starts with strategy
% 6.15/1.22 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":20}
% 6.15/1.22
% 6.15/1.22
% 6.15/1.22 fork 2: search terminated without proof.
% 6.81/1.23
% 6.81/1.23 **** run 56 fork 7 starts with strategy
% 6.81/1.23 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":40}
% 6.81/1.24
% 6.81/1.24 **** run 51 fork 2 starts with strategy
% 6.81/1.24 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":10}
% 6.81/1.25
% 6.81/1.25
% 6.81/1.25 fork 3: search terminated without proof.
% 6.81/1.26
% 6.81/1.26
% 6.81/1.26 fork 6: search terminated without proof.
% 6.81/1.27
% 6.81/1.27 **** run 52 fork 3 starts with strategy
% 6.81/1.27 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":15}
% 6.81/1.27
% 6.81/1.27 fork 2: search finished without proof.
% 6.81/1.28
% 6.81/1.28 **** run 63 fork 6 starts with strategy
% 6.81/1.28 {"max_dseconds":1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1}
% 6.81/1.28
% 6.81/1.28
% 6.81/1.28 fork 0: search terminated without proof.
% 7.22/1.28
% 7.22/1.28 **** run 59 fork 2 starts with strategy
% 7.22/1.28 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50}
% 7.22/1.29
% 7.22/1.29
% 7.22/1.29 result: proof found
% 7.22/1.29 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.22/1.29 by run 52 fork 3 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_size":15}
% 7.22/1.29 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.22/1.29
% 7.22/1.29 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.22/1.29
% 7.22/1.29 run 52 fork 3 statistics:
% 7.22/1.29 ----------------------------------
% 7.22/1.29 this run seconds: 0.009044
% 7.22/1.29 total seconds: 0.886790
% 7.22/1.29 stat_given_used: 24
% 7.22/1.29 stat_given_used_at_endgame: 0
% 7.22/1.29 stat_given_candidates: 141
% 7.22/1.29 stat_given_candidates_at_endgame: 0
% 7.22/1.29 stat_given_candidates_h: 0
% 7.22/1.29 stat_binres_derived_cl: 0
% 7.22/1.29 stat_binres_derived_cl_h: 0
% 7.22/1.29 stat_factor_derived_cl: 0
% 7.22/1.29 stat_para_derived_cl: 1141
% 7.22/1.29 stat_tautologies_discarded: 0
% 7.22/1.29 stat_forward_subsumed: 135
% 7.22/1.29 stat_derived_cut: 1
% 7.22/1.29 stat_derived_rewritten: 10
% 7.22/1.29 stat_weight_discarded_building: 0
% 7.22/1.29 stat_weight_discarded_cl: 781
% 7.22/1.29 stat_internlimit_discarded_cl: 0
% 7.22/1.29 stat_simplified: 10 simplified 0 derived 0 given
% 7.22/1.29 stat_kept_cl: 127
% 7.22/1.29 stat_built_cl: 966
% 7.22/1.29 stat_hyperres_partial_cl: 0
% 7.22/1.29 stat_made_rewriters: 9
% 7.22/1.30 stat_backward_subsumed: 0
% 7.22/1.30 stat_propagated_subsumed: 0
% 7.22/1.30 stat_clsubs_attempted: 106
% 7.22/1.30 stat_clsubs_fact_groundunit_found: 0
% 7.22/1.30 stat_clsubs_rule_groundunit_found: 4
% 7.22/1.30 stat_clsubs_top_meta_attempted: 298
% 7.22/1.30 stat_clsubs_top_meta_failed: 192
% 7.22/1.30 stat_clsubs_top_meta_nonpref_attempted: 298
% 7.22/1.30 stat_clsubs_top_meta_nonpref_succeeded: 133
% 7.22/1.30 stat_clsubs_top_meta_pref_attempted: 133
% 7.22/1.30 stat_clsubs_top_meta_pref1_succeeded: 129
% 7.22/1.30 stat_clsubs_top_meta_pref2_succeeded: 129
% 7.22/1.30 stat_clsubs_top_meta_pref3_succeeded: 106
% 7.22/1.30 stat_clsubs_top_meta_pref_succeeded: 106
% 7.22/1.30 stat_clsubs_meta_attempted: 106
% 7.22/1.30 stat_clsubs_meta_failed: 9
% 7.22/1.30 stat_clsubs_predsymbs_attempted: 0
% 7.22/1.30 stat_clsubs_unit_attempted: 106
% 7.22/1.30 stat_clsubs_full_attempted: 0
% 7.22/1.30 stat_forwardsubs_attempted: 1044
% 7.22/1.30 stat_lit_hash_added: 136
% 7.22/1.30 stat_lit_hash_computed: 1234
% 7.22/1.30 stat_lit_hash_match_found: 147
% 7.22/1.30 stat_lit_hash_match_miss: 1870
% 7.22/1.30 stat_lit_hash_cut_ok: 0
% 7.22/1.30 stat_lit_strong_cut_ok: 1
% 7.22/1.30 stat_lit_hash_subsume_ok: 135
% 7.22/1.30 clqueue els 10000000 used 1
% 7.22/1.30 clactive els 10000000 used 25
% 7.22/1.30 clactivesubsume els 10000000 used 121
% 7.22/1.30 queue_termbuf els 200000000 used 8808
% 7.22/1.30 hyper_termbuf els 100000000 used 1
% 7.22/1.30 active_termbuf els 100000000 used 1136
% 7.22/1.30 varstack els 5000 last used 1
% 7.22/1.30 given_termbuf els 10000000 last used 1
% 7.22/1.30 simplified_termbuf els 10000000 last used 1
% 7.22/1.30 derived_termbuf els 10000000 last used 86
% 7.22/1.30 wr_mallocs: 909
% 7.22/1.30 wr_callocs: 21
% 7.22/1.30 wr_reallocs: 10
% 7.22/1.30 wr_frees: 2
% 7.22/1.30 wr_malloc_bytes: 4162609428
% 7.22/1.30 wr_calloc_bytes: 112065536
% 7.22/1.30 wr_realloc_bytes: 1184
% 7.22/1.30 wr_realloc_freebytes: 0
% 7.22/1.30 ----------------------------------
%------------------------------------------------------------------------------