TSTP Solution File: GRP117-1 by GKC---0.8
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%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : GRP117-1 : TPTP v8.1.2. Released v1.2.0.
% 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 00:52:26 EDT 2023
% Result : Unsatisfiable 0.23s 0.44s
% Output : CNFRefutation 0.23s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named single_axiom)
% Comments :
%------------------------------------------------------------------------------
cnf('1',plain,
multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))) = Y,
inference(cnf_transformation,[],[single_axiom]) ).
cnf('2',plain,
multiply(X,multiply(Y,multiply(identity,multiply(multiply(identity,multiply(Z,Z)),multiply(identity,multiply(Z,Z)))))) = multiply(multiply(X,Y),Z),
inference(paramodulation,[],['1','1']) ).
cnf('3',plain,
multiply(X,multiply(Y,Z)) = multiply(multiply(X,Y),multiply(identity,Z)),
inference(paramodulation,[],['1','2']) ).
cnf('4',plain,
multiply(X,multiply(X,multiply(multiply(multiply(X,Y),Z),multiply(Z,Z)))) = Y,
inference(paramodulation,[],['3','1']) ).
cnf('5',plain,
multiply(X3,multiply(X3,multiply(multiply(X3,Y3),multiply(identity,identity)))) = Y3,
inference(paramodulation,[],['3','4']) ).
cnf('6',plain,
multiply(X,multiply(X,multiply(X,multiply(Y,identity)))) = Y,
inference(simplify,[],['5','3']) ).
cnf('7',plain,
multiply(X,multiply(X,multiply(multiply(Y,Z),multiply(Z,Z)))) = multiply(X,multiply(X,multiply(Y,identity))),
inference(paramodulation,[],['6','4']) ).
cnf('8',plain,
multiply(multiply(X,identity),multiply(multiply(X,identity),multiply(X,identity))) = identity,
inference(paramodulation,[],['7','6']) ).
cnf('9',plain,
multiply(multiply(X,identity),identity) = X,
inference(paramodulation,[],['8','6']) ).
cnf('10',plain,
multiply(X,multiply(X,multiply(X,Y))) = multiply(Y,identity),
inference(paramodulation,[],['9','6']) ).
cnf('11',plain,
multiply(X,multiply(identity,identity)) = X,
inference(paramodulation,[],['10','6']) ).
cnf('12',plain,
multiply(X,multiply(Y,identity)) = multiply(X,Y),
inference(paramodulation,[],['11','3']) ).
cnf('13',plain,
multiply(a,identity) != a,
inference(cnf_transformation,[],[prove_order3]) ).
cnf('14',plain,
$false,
inference(paramodulation,[then_simplify],['12','11','13']) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRP117-1 : TPTP v8.1.2. Released v1.2.0.
% 0.08/0.15 % Command : gkc %s
% 0.16/0.36 % Computer : n006.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon Aug 28 22:49:36 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.41
% 0.16/0.41 input clause set summed statistics:
% 0.16/0.41 ----------------------------------
% 0.16/0.41 in_clause_count: 2
% 0.16/0.41 in_rule_clause_count: 2
% 0.16/0.41 in_fact_clause_count: 0
% 0.16/0.41 in_answer_clause_count: 0
% 0.16/0.41 in_ground_clause_count: 1
% 0.16/0.41 in_unit_clause_count: 2
% 0.16/0.41 in_horn_clause_count: 2
% 0.16/0.41 in_pos_clause_count: 1
% 0.16/0.41 in_neg_clause_count: 1
% 0.16/0.41 in_poseq_clause_count: 1
% 0.16/0.41 in_negeq_clause_count: 1
% 0.16/0.41 in_unitposeq_clause_count: 1
% 0.16/0.41 in_chain_clause_count: 0
% 0.16/0.41 in_min_length: 1
% 0.16/0.41 in_max_length: 1
% 0.16/0.41 in_min_depth: 2
% 0.16/0.41 in_max_depth: 6
% 0.16/0.41 in_min_size: 5
% 0.16/0.41 in_max_size: 17
% 0.16/0.41 in_min_vars: 0
% 0.16/0.41 in_max_vars: 3
% 0.16/0.41 in_extaxiom_count: 0
% 0.16/0.41 in_axiom_count: 1
% 0.16/0.41 in_assumption_count: 0
% 0.16/0.41 in_goal_count: 1
% 0.16/0.41 in_neg_goal_count: 1
% 0.16/0.41 in_pos_goal_count: 0
% 0.16/0.41 in_posunit_goal_count: 0
% 0.16/0.41
% 0.16/0.41 auto guide:
% 0.16/0.41 -----------
% 0.16/0.41 {
% 0.16/0.41 "print":1,
% 0.16/0.41 "print_level": 15,
% 0.16/0.41 "max_size": 0,
% 0.16/0.41 "max_depth": 0,
% 0.16/0.41 "max_length": 0,
% 0.16/0.41 "max_dseconds": 0,
% 0.16/0.41 "runs":[
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.16/0.41 {"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},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20},
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% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.16/0.41 {"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},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.16/0.41 {"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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% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "rewrite":0},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20, "rewrite":0},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":2},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20,"depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["query_focus"], "query_preference": 0},
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% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 1, "reverse_clauselist": 1},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.16/0.41 {"max_dseconds": 1, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
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% 0.16/0.41 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":10},
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% 0.16/0.41 {"max_dseconds": 1,"strategy":["unit"],"query_preference":0,"max_size":30,"depth_penalty":50},
% 0.16/0.41 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1},
% 0.16/0.41 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"depth_penalty":100},
% 0.16/0.41 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100,"query_preference":0},
% 0.16/0.41 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":1},
% 0.16/0.41 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"weight_select_ratio":20},
% 0.16/0.41 {"max_dseconds": 1,"strategy":["unit","prohibit_nested_para"],"var_weight":70,"repeat_var_weight":70,"depth_penalty":100},
% 0.16/0.41 {"max_dseconds": 1,"strategy":["unit"],"var_weight":70,"repeat_var_weight":70,"query_preference":0,"max_depth": 4},
% 0.16/0.41
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% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0},
% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":20, "repeat_var_weight":1, "depth_penalty":100},
% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 1, "weight_select_ratio":20},
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% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50},
% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1},
% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0},
% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
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% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 1},
% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0},
% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "var_weight": 1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.16/0.41 {"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},
% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1},
% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0},
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% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":100},
% 0.16/0.41 {"max_dseconds": 10, "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},
% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit","prohibit_deep_para","prohibit_unordered_para"], "query_preference": 1, "weight_select_ratio":20},
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% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "weight_select_ratio":20, "depth_penalty":50, "var_weight":1, "repeat_var_weight":1},
% 0.16/0.41 {"max_dseconds": 10, "strategy":["query_focus"], "query_preference": 0},
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% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "max_depth": 2},
% 0.16/0.41 {"max_dseconds": 10, "strategy":["unit"], "query_preference": 0, "max_depth": 4},
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% 0.16/0.41
% 0.16/0.41 ]}
% 0.16/0.41
% 0.16/0.41
% 0.16/0.41 **** run 1 fork 0 starts with strategy
% 0.16/0.41 {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.16/0.41
% 0.16/0.41 **** run 2 fork 1 starts with strategy
% 0.16/0.41 {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 0.16/0.41
% 0.16/0.41 **** run 3 fork 2 starts with strategy
% 0.16/0.41 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":100,"repeat_var_weight":1}
% 0.16/0.41
% 0.16/0.41 **** run 4 fork 3 starts with strategy
% 0.16/0.41 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.16/0.41
% 0.16/0.41 **** run 5 fork 4 starts with strategy
% 0.16/0.41 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"var_weight":1,"weight_select_ratio":20,"repeat_var_weight":1,"depth_penalty":100}
% 0.16/0.41
% 0.16/0.41 **** run 6 fork 5 starts with strategy
% 0.16/0.41 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20}
% 0.16/0.41
% 0.16/0.41 **** run 7 fork 6 starts with strategy
% 0.16/0.41 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20}
% 0.23/0.42
% 0.23/0.42 **** run 8 fork 7 starts with strategy
% 0.23/0.42 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"weight_select_ratio":20,"depth_penalty":50}
% 0.23/0.44
% 0.23/0.44
% 0.23/0.44 result: proof found
% 0.23/0.44 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.44 by run 4 fork 3 strategy {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":100}
% 0.23/0.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.44
% 0.23/0.44 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.23/0.44
% 0.23/0.44 run 4 fork 3 statistics:
% 0.23/0.44 ----------------------------------
% 0.23/0.44 this run seconds: 0.010257
% 0.23/0.44 total seconds: 0.030179
% 0.23/0.44 stat_given_used: 15
% 0.23/0.44 stat_given_used_at_endgame: 0
% 0.23/0.44 stat_given_candidates: 26
% 0.23/0.44 stat_given_candidates_at_endgame: 0
% 0.23/0.44 stat_given_candidates_h: 0
% 0.23/0.44 stat_binres_derived_cl: 0
% 0.23/0.44 stat_binres_derived_cl_h: 0
% 0.23/0.44 stat_factor_derived_cl: 0
% 0.23/0.44 stat_para_derived_cl: 345
% 0.23/0.44 stat_tautologies_discarded: 0
% 0.23/0.44 stat_forward_subsumed: 42
% 0.23/0.44 stat_derived_cut: 1
% 0.23/0.44 stat_derived_rewritten: 2
% 0.23/0.44 stat_weight_discarded_building: 0
% 0.23/0.44 stat_weight_discarded_cl: 0
% 0.23/0.44 stat_internlimit_discarded_cl: 0
% 0.23/0.44 stat_simplified: 2 simplified 0 derived 0 given
% 0.23/0.44 stat_kept_cl: 263
% 0.23/0.44 stat_built_cl: 295
% 0.23/0.44 stat_hyperres_partial_cl: 0
% 0.23/0.44 stat_made_rewriters: 14
% 0.23/0.44 stat_backward_subsumed: 0
% 0.23/0.44 stat_propagated_subsumed: 0
% 0.23/0.44 stat_clsubs_attempted: 11
% 0.23/0.44 stat_clsubs_fact_groundunit_found: 0
% 0.23/0.44 stat_clsubs_rule_groundunit_found: 1
% 0.23/0.44 stat_clsubs_top_meta_attempted: 91
% 0.23/0.44 stat_clsubs_top_meta_failed: 80
% 0.23/0.44 stat_clsubs_top_meta_nonpref_attempted: 91
% 0.23/0.44 stat_clsubs_top_meta_nonpref_succeeded: 11
% 0.23/0.44 stat_clsubs_top_meta_pref_attempted: 11
% 0.23/0.44 stat_clsubs_top_meta_pref1_succeeded: 11
% 0.23/0.44 stat_clsubs_top_meta_pref2_succeeded: 11
% 0.23/0.44 stat_clsubs_top_meta_pref3_succeeded: 11
% 0.23/0.44 stat_clsubs_top_meta_pref_succeeded: 11
% 0.23/0.44 stat_clsubs_meta_attempted: 11
% 0.23/0.44 stat_clsubs_meta_failed: 0
% 0.23/0.44 stat_clsubs_predsymbs_attempted: 0
% 0.23/0.44 stat_clsubs_unit_attempted: 11
% 0.23/0.44 stat_clsubs_full_attempted: 0
% 0.23/0.44 stat_forwardsubs_attempted: 306
% 0.23/0.44 stat_lit_hash_added: 266
% 0.23/0.44 stat_lit_hash_computed: 590
% 0.23/0.44 stat_lit_hash_match_found: 43
% 0.23/0.44 stat_lit_hash_match_miss: 547
% 0.23/0.44 stat_lit_hash_cut_ok: 0
% 0.23/0.44 stat_lit_strong_cut_ok: 1
% 0.23/0.44 stat_lit_hash_subsume_ok: 42
% 0.23/0.44 clqueue els 10000000 used 1
% 0.23/0.44 clactive els 10000000 used 16
% 0.23/0.44 clactivesubsume els 10000000 used 85
% 0.23/0.44 queue_termbuf els 200000000 used 26937
% 0.23/0.44 hyper_termbuf els 100000000 used 1
% 0.23/0.44 active_termbuf els 100000000 used 679
% 0.23/0.44 varstack els 5000 last used 1
% 0.23/0.44 given_termbuf els 10000000 last used 1
% 0.23/0.44 simplified_termbuf els 10000000 last used 1
% 0.23/0.44 derived_termbuf els 10000000 last used 30
% 0.23/0.44 wr_mallocs: 1230
% 0.23/0.44 wr_callocs: 21
% 0.23/0.44 wr_reallocs: 12
% 0.23/0.44 wr_frees: 2
% 0.23/0.44 wr_malloc_bytes: 4162625204
% 0.23/0.44 wr_calloc_bytes: 112065536
% 0.23/0.44 wr_realloc_bytes: 864
% 0.23/0.44 wr_realloc_freebytes: 0
% 0.23/0.44 ----------------------------------
%------------------------------------------------------------------------------