TSTP Solution File: LCL546+1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL546+1 : TPTP v8.1.2. Released v3.3.0.
% 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 07:39:42 EDT 2023
% Result : Theorem 5.51s 1.23s
% Output : CNFRefutation 5.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : LCL546+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : gkc %s
% 0.12/0.33 % Computer : n006.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 : Thu Aug 24 23:07:22 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.37
% 0.18/0.37 input clause set summed statistics:
% 0.18/0.37 ----------------------------------
% 0.18/0.37 in_clause_count: 147
% 0.18/0.37 in_rule_clause_count: 147
% 0.18/0.37 in_fact_clause_count: 0
% 0.18/0.37 in_answer_clause_count: 0
% 0.18/0.37 in_ground_clause_count: 89
% 0.18/0.37 in_unit_clause_count: 31
% 0.18/0.37 in_horn_clause_count: 138
% 0.18/0.37 in_pos_clause_count: 39
% 0.18/0.37 in_neg_clause_count: 1
% 0.18/0.37 in_poseq_clause_count: 11
% 0.18/0.37 in_negeq_clause_count: 2
% 0.18/0.37 in_unitposeq_clause_count: 0
% 0.18/0.37 in_chain_clause_count: 0
% 0.18/0.37 in_min_length: 1
% 0.18/0.37 in_max_length: 4
% 0.18/0.37 in_min_depth: 1
% 0.18/0.37 in_max_depth: 5
% 0.18/0.37 in_min_size: 2
% 0.18/0.37 in_max_size: 17
% 0.18/0.37 in_min_vars: 0
% 0.18/0.37 in_max_vars: 3
% 0.18/0.37 in_extaxiom_count: 140
% 0.18/0.37 in_axiom_count: 6
% 0.18/0.37 in_assumption_count: 0
% 0.18/0.37 in_goal_count: 1
% 0.18/0.37 in_neg_goal_count: 1
% 0.18/0.37 in_pos_goal_count: 0
% 0.18/0.37 in_posunit_goal_count: 0
% 0.18/0.37
% 0.18/0.37 auto guide:
% 0.18/0.37 -----------
% 0.18/0.37 {
% 0.18/0.37 "print":1,
% 0.18/0.37 "print_level": 15,
% 0.18/0.37 "max_size": 0,
% 0.18/0.37 "max_depth": 0,
% 0.18/0.37 "max_length": 0,
% 0.18/0.37 "max_dseconds": 0,
% 0.18/0.37 "runs":[
% 0.18/0.37 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.37 {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.37 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.37 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.18/0.37 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.18/0.37 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.37 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.18/0.37 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.18/0.37 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.18/0.37 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1, "max_size":15},
% 0.18/0.37 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.18/0.37 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara","prohibit_unordered_para"], "max_dseconds":1},
% 0.18/0.37 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.18/0.37 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.18/0.37 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.18/0.37 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.18/0.37 {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.18/0.37 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.18/0.37 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.18/0.37 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":1, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.18/0.37 {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.18/0.37 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.18/0.37 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":1},
% 0.18/0.37 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.18/0.37 {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.18/0.37 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.18/0.37 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.18/0.37 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.18/0.37 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.18/0.37 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.18/0.37 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.18/0.37 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.18/0.37 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.18/0.37 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.18/0.37 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.18/0.37 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.18/0.37 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.18/0.37 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.18/0.37 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.18/0.37 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.18/0.37 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.18/0.37 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.18/0.37 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.18/0.37 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.18/0.37 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.18/0.37 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.18/0.37 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.18/0.37 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.18/0.37 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.37 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.18/0.37 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":1},
% 0.18/0.37 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.18/0.37 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.18/0.37 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.18/0.37 {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.18/0.37 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.18/0.37
% 0.18/0.37 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":10, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.18/0.37 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.18/0.37 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.18/0.37 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.18/0.37 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.37 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
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% 0.18/0.73 fork 5: search finished without proof.
% 0.18/0.73
% 0.18/0.73
% 0.18/0.73 fork 2: search terminated without proof.
% 0.18/0.74
% 0.18/0.74 **** run 26 fork 1 starts with strategy
% 0.18/0.74 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"sine":1}
% 0.18/0.75
% 0.18/0.75 **** run 30 fork 5 starts with strategy
% 0.18/0.75 {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":0,"rewrite":0}
% 0.18/0.75
% 0.18/0.75 **** run 27 fork 2 starts with strategy
% 0.18/0.75 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 0.18/0.77
% 0.18/0.77
% 0.18/0.77 fork 3: search terminated without proof.
% 0.18/0.77
% 0.18/0.77 fork 1: search finished without proof.
% 0.18/0.79
% 0.18/0.79 **** run 34 fork 1 starts with strategy
% 0.18/0.79 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":30,"depth_penalty":100}
% 0.18/0.79
% 0.18/0.79 **** run 36 fork 3 starts with strategy
% 0.18/0.79 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":1}
% 2.31/0.81
% 2.31/0.81
% 2.31/0.81 fork 4: search terminated without proof.
% 2.31/0.83
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% 2.31/0.83 fork 0: search terminated without proof.
% 2.31/0.83
% 2.31/0.83 fork 3: search finished without proof.
% 3.34/0.84
% 3.34/0.84 **** run 29 fork 4 starts with strategy
% 3.34/0.84 {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0}
% 3.34/0.85
% 3.34/0.85 **** run 44 fork 3 starts with strategy
% 3.34/0.85 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1}
% 3.34/0.85
% 3.34/0.85 **** run 25 fork 0 starts with strategy
% 3.34/0.85 {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"sine":2}
% 3.34/0.88
% 3.34/0.88 fork 5: search finished without proof.
% 3.34/0.88
% 3.34/0.88
% 3.34/0.88 fork 2: search terminated without proof.
% 3.72/0.89
% 3.72/0.89 fork 0: search finished without proof.
% 3.72/0.90
% 3.72/0.90 **** run 38 fork 5 starts with strategy
% 3.72/0.90 {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":2,"strategy":["unit"],"max_dseconds":1}
% 3.72/0.91
% 3.72/0.91 **** run 35 fork 2 starts with strategy
% 3.72/0.91 {"max_dseconds":1,"strategy":["negative_pref","posunitpara"],"query_preference":1,"max_depth":2,"depth_penalty":50,"length_penalty":100}
% 3.72/0.91
% 3.72/0.91 **** run 33 fork 0 starts with strategy
% 3.72/0.91 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":3}
% 3.72/0.92
% 3.72/0.92
% 3.72/0.92 fork 1: search terminated without proof.
% 3.72/0.93
% 3.72/0.93 fork 5: search finished without proof.
% 3.72/0.95
% 3.72/0.95 **** run 42 fork 1 starts with strategy
% 3.72/0.95 {"weight_select_ratio":100,"query_preference":1,"strategy":["negative_pref"],"max_dseconds":1}
% 3.72/0.95
% 3.72/0.95 fork 2: search finished without proof.
% 3.72/0.95
% 3.72/0.95 **** run 46 fork 5 starts with strategy
% 3.72/0.95 {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"sine":3,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 4.13/0.96
% 4.13/0.96
% 4.13/0.96 fork 4: search terminated without proof.
% 4.13/0.97
% 4.13/0.97 **** run 43 fork 2 starts with strategy
% 4.13/0.97 {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"max_depth":2}
% 4.13/0.98
% 4.13/0.98 fork 5: search finished without proof.
% 4.13/0.99
% 4.13/0.99
% 4.13/0.99 fork 3: search terminated without proof.
% 4.13/0.99
% 4.13/0.99 **** run 37 fork 4 starts with strategy
% 4.13/0.99 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"sine":2}
% 4.13/0.99
% 4.13/0.99 fork 0: search finished without proof.
% 4.13/1.00
% 4.13/1.00 **** run 54 fork 5 starts with strategy
% 4.13/1.00 {"max_dseconds":1,"sine":4,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 4.38/1.01
% 4.38/1.01 **** run 52 fork 3 starts with strategy
% 4.38/1.01 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"max_depth":2}
% 4.38/1.01
% 4.38/1.01 fork 4: search finished without proof.
% 4.38/1.02
% 4.38/1.02 fork 2: search finished without proof.
% 4.38/1.02
% 4.38/1.02 **** run 41 fork 0 starts with strategy
% 4.38/1.02 {"max_depth":0,"length_penalty":100,"query_preference":2,"strategy":["hardness_pref","posunitpara","prohibit_unordered_para"],"max_dseconds":1}
% 4.38/1.03
% 4.38/1.03 fork 5: search finished without proof.
% 4.58/1.04
% 4.58/1.04 **** run 45 fork 4 starts with strategy
% 4.58/1.04 {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 4.58/1.04
% 4.58/1.04 **** run 51 fork 2 starts with strategy
% 4.58/1.04 {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":0,"depth_penalty":50,"length_penalty":100}
% 4.58/1.05
% 4.58/1.05 fork 3: search finished without proof.
% 4.58/1.05
% 4.58/1.05 **** run 62 fork 5 starts with strategy
% 4.58/1.05 {"sine":1,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 4.58/1.07
% 4.58/1.07 **** run 60 fork 3 starts with strategy
% 4.58/1.07 {"depth_penalty":50,"sine":3,"query_preference":1,"strategy":["hardness_pref","hornpref","max_weight"],"max_dseconds":1}
% 4.58/1.08
% 4.58/1.08
% 4.58/1.08 fork 1: search terminated without proof.
% 4.58/1.08
% 4.58/1.08 fork 5: search finished without proof.
% 4.58/1.10
% 4.58/1.10 fork 3: search finished without proof.
% 4.58/1.10
% 4.58/1.10 **** run 70 fork 5 starts with strategy
% 4.58/1.10 {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 4.58/1.10
% 4.58/1.10 **** run 50 fork 1 starts with strategy
% 4.58/1.10 {"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 4.58/1.11
% 4.58/1.11 **** run 68 fork 3 starts with strategy
% 4.58/1.11 {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1}
% 5.15/1.15
% 5.15/1.15
% 5.15/1.15 fork 0: search terminated without proof.
% 5.15/1.15
% 5.15/1.15 fork 3: search finished without proof.
% 5.15/1.17
% 5.15/1.17
% 5.15/1.17 fork 4: search terminated without proof.
% 5.15/1.17
% 5.15/1.17 **** run 76 fork 3 starts with strategy
% 5.15/1.17 {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"sine":1}
% 5.15/1.17
% 5.15/1.17
% 5.15/1.17 fork 2: search terminated without proof.
% 5.15/1.17
% 5.15/1.17 **** run 49 fork 0 starts with strategy
% 5.15/1.17 {"max_depth":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 5.51/1.19
% 5.51/1.19 **** run 53 fork 4 starts with strategy
% 5.51/1.19 {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 5.51/1.20
% 5.51/1.20 **** run 59 fork 2 starts with strategy
% 5.51/1.20 {"depth_penalty":50,"query_preference":1,"strategy":["hardness_pref","hornpref","max_weight"],"max_dseconds":1}
% 5.51/1.20
% 5.51/1.20 fork 3: search finished without proof.
% 5.51/1.21
% 5.51/1.21 **** run 84 fork 3 starts with strategy
% 5.51/1.21 {"max_dseconds":1,"strategy":["unit","prohibit_nested_para"],"query_preference":1,"reverse_clauselist":1}
% 5.51/1.23
% 5.51/1.23
% 5.51/1.23 result: proof found
% 5.51/1.23 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.51/1.23 by run 15 fork 6 strategy {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 5.51/1.23 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.51/1.23
% 5.51/1.23 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.51/1.23 fof('$inc_op_strict_implies_$sk', plain, ((strict_implies(X2,X1) = necessarily(implies(X2,X1))) | ~op_strict_implies),
% 5.51/1.23 inference(negpush_and_skolemize,[],['$inc_op_strict_implies'])).
% 5.51/1.23 fof('$inc_op_strict_implies', axiom, (op_strict_implies => (! [X,Y] : (strict_implies(X,Y) = necessarily(implies(X,Y))))),
% 5.51/1.23 input).
% 5.51/1.23 fof('s1_0_m6s3m9b_axiom_m6_$sk', plain, ~axiom_m6,
% 5.51/1.23 inference(negpush_and_skolemize,[],['s1_0_m6s3m9b_axiom_m6'])).
% 5.51/1.23 fof('s1_0_m6s3m9b_axiom_m6', conjecture, axiom_m6,
% 5.51/1.23 input).
% 5.51/1.23 fof('$inc_axiom_m6_$sk', plain, ((~axiom_m6 | is_a_theorem(strict_implies(X1,possibly(X1)))) & (axiom_m6 | ~is_a_theorem(strict_implies($sk7,possibly($sk7))))),
% 5.51/1.23 inference(negpush_and_skolemize,[],['$inc_axiom_m6'])).
% 5.51/1.23 fof('$inc_axiom_m6', axiom, (axiom_m6 <=> (! [X] : is_a_theorem(strict_implies(X,possibly(X))))),
% 5.51/1.23 input).
% 5.51/1.23 fof('s1_0_op_strict_implies', axiom, op_strict_implies,
% 5.51/1.23 input).
% 5.51/1.23 fof('$inc_necessitation_$sk', plain, ((~necessitation | (is_a_theorem(necessarily(X1)) | ~is_a_theorem(X1))) & (necessitation | (~is_a_theorem(necessarily($sk39)) & is_a_theorem($sk39)))),
% 5.51/1.23 inference(negpush_and_skolemize,[],['$inc_necessitation'])).
% 5.51/1.23 fof('$inc_necessitation', axiom, (necessitation <=> (! [X] : (is_a_theorem(X) => is_a_theorem(necessarily(X))))),
% 5.51/1.23 input).
% 5.51/1.23 fof('$inc_km4b_necessitation', axiom, necessitation,
% 5.51/1.23 input).
% 5.51/1.23 fof('$inc_modus_ponens_$sk', plain, ((~modus_ponens | (is_a_theorem(X2) | (~is_a_theorem(implies(X1,X2)) | ~is_a_theorem(X1)))) & (modus_ponens | (~is_a_theorem($sk94) & (is_a_theorem(implies($sk93,$sk94)) & is_a_theorem($sk93))))),
% 5.51/1.23 inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 5.51/1.23 fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 5.51/1.23 input).
% 5.51/1.23 fof('$inc_hilbert_modus_ponens', axiom, modus_ponens,
% 5.51/1.23 input).
% 5.51/1.23 fof('$inc_implies_3_$sk', plain, ((~implies_3 | is_a_theorem(implies(implies(X3,X2),implies(implies(X2,X1),implies(X3,X1))))) & (implies_3 | ~is_a_theorem(implies(implies($sk84,$sk83),implies(implies($sk83,$sk82),implies($sk84,$sk82)))))),
% 5.51/1.23 inference(negpush_and_skolemize,[],['$inc_implies_3'])).
% 5.51/1.23 fof('$inc_implies_3', axiom, (implies_3 <=> (! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))))),
% 5.51/1.23 input).
% 5.51/1.23 fof('$inc_hilbert_implies_3', axiom, implies_3,
% 5.51/1.23 input).
% 5.51/1.23 fof('$inc_axiom_M_$sk', plain, ((~axiom_M | is_a_theorem(implies(necessarily(X1),X1))) & (axiom_M | ~is_a_theorem(implies(necessarily($sk30),$sk30)))),
% 5.51/1.23 inference(negpush_and_skolemize,[],['$inc_axiom_M'])).
% 5.51/1.23 fof('$inc_axiom_M', axiom, (axiom_M <=> (! [X] : is_a_theorem(implies(necessarily(X),X)))),
% 5.51/1.23 input).
% 5.51/1.23 fof('$inc_km4b_axiom_M', axiom, axiom_M,
% 5.51/1.23 input).
% 5.51/1.23 fof('$inc_axiom_B_$sk', plain, ((~axiom_B | is_a_theorem(implies(X1,necessarily(possibly(X1))))) & (axiom_B | ~is_a_theorem(implies($sk28,necessarily(possibly($sk28)))))),
% 5.51/1.23 inference(negpush_and_skolemize,[],['$inc_axiom_B'])).
% 5.51/1.23 fof('$inc_axiom_B', axiom, (axiom_B <=> (! [X] : is_a_theorem(implies(X,necessarily(possibly(X)))))),
% 5.51/1.23 input).
% 5.51/1.23 fof('$inc_km4b_axiom_B', axiom, axiom_B,
% 5.51/1.23 input).
% 5.51/1.23 cnf('1', plain, (~$pr(op_strict_implies) | strict_implies(X,Y) = necessarily(implies(X,Y))),
% 5.51/1.23 inference(cnf_transformation,[],['$inc_op_strict_implies_$sk'])).
% 5.51/1.23 cnf('2', plain, (~$pr(axiom_m6)),
% 5.51/1.23 inference(cnf_transformation,[],['s1_0_m6s3m9b_axiom_m6_$sk'])).
% 5.51/1.23 cnf('3', plain, (~is_a_theorem(strict_implies($sk7,possibly($sk7))) | $pr(axiom_m6)),
% 5.51/1.23 inference(cnf_transformation,[],['$inc_axiom_m6_$sk'])).
% 5.51/1.23 cnf('4', plain, (~is_a_theorem(strict_implies($sk7,possibly($sk7)))),
% 5.51/1.23 inference(resolution,[],['2','3'])).
% 5.51/1.23 cnf('5', plain, ($pr(op_strict_implies)),
% 5.51/1.23 inference(cnf_transformation,[],['s1_0_op_strict_implies'])).
% 5.51/1.23 cnf('6', plain, (~is_a_theorem(necessarily(implies($sk7,possibly($sk7))))),
% 5.51/1.23 inference(paramodulation,[then_simplify],['1','4','5'])).
% 5.51/1.23 cnf('7', plain, (~$pr(necessitation) | is_a_theorem(necessarily(X)) | ~is_a_theorem(X)),
% 5.51/1.23 inference(cnf_transformation,[],['$inc_necessitation_$sk'])).
% 5.51/1.23 cnf('8', plain, ($pr(necessitation)),
% 5.51/1.23 inference(cnf_transformation,[],['$inc_km4b_necessitation'])).
% 5.51/1.23 cnf('9', plain, (~is_a_theorem(implies($sk7,possibly($sk7)))),
% 5.51/1.23 inference(resolution,[then_simplify],['6','7','8'])).
% 5.51/1.23 cnf('10', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 5.51/1.23 inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 5.51/1.23 cnf('11', plain, ($pr(modus_ponens)),
% 5.51/1.23 inference(cnf_transformation,[],['$inc_hilbert_modus_ponens'])).
% 5.51/1.23 cnf('12', plain, (~is_a_theorem(implies(X,implies($sk7,possibly($sk7)))) | ~is_a_theorem(X)),
% 5.51/1.23 inference(resolution,[then_simplify],['9','10','11'])).
% 5.51/1.23 cnf('13', plain, (~is_a_theorem(implies(X,implies(Y,implies($sk7,possibly($sk7))))) | ~is_a_theorem(X) | ~is_a_theorem(Y)),
% 5.51/1.23 inference(resolution,[then_simplify],['12','10','11'])).
% 5.51/1.23 cnf('14', plain, (~$pr(implies_3) | is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))),
% 5.51/1.23 inference(cnf_transformation,[],['$inc_implies_3_$sk'])).
% 5.51/1.23 cnf('15', plain, ($pr(implies_3)),
% 5.51/1.23 inference(cnf_transformation,[],['$inc_hilbert_implies_3'])).
% 5.51/1.23 cnf('16', plain, (~is_a_theorem(implies(X,possibly($sk7))) | ~is_a_theorem(implies($sk7,X))),
% 5.51/1.23 inference(resolution,[then_simplify],['13','14','15'])).
% 5.51/1.23 cnf('17', plain, (~$pr(axiom_M) | is_a_theorem(implies(necessarily(X),X))),
% 5.51/1.23 inference(cnf_transformation,[],['$inc_axiom_M_$sk'])).
% 5.51/1.23 cnf('18', plain, ($pr(axiom_M)),
% 5.51/1.23 inference(cnf_transformation,[],['$inc_km4b_axiom_M'])).
% 5.51/1.23 cnf('19', plain, (~is_a_theorem(implies($sk7,necessarily(possibly($sk7))))),
% 5.51/1.23 inference(resolution,[then_simplify],['16','17','18'])).
% 5.51/1.23 cnf('20', plain, (~$pr(axiom_B) | is_a_theorem(implies(X,necessarily(possibly(X))))),
% 5.51/1.23 inference(cnf_transformation,[],['$inc_axiom_B_$sk'])).
% 5.51/1.23 cnf('21', plain, ($pr(axiom_B)),
% 5.51/1.23 inference(cnf_transformation,[],['$inc_km4b_axiom_B'])).
% 5.51/1.23 cnf('22', plain, ($false),
% 5.51/1.23 inference(resolution,[then_simplify],['19','20','21'])).
% 5.51/1.23
% 5.51/1.23 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.51/1.23
% 5.51/1.23 run 15 fork 6 statistics:
% 5.51/1.23 ----------------------------------
% 5.51/1.23 this run seconds: 0.051433
% 5.51/1.23 total seconds: 0.252898
% 5.51/1.23 stat_given_used: 584
% 5.51/1.23 stat_given_used_at_endgame: 0
% 5.51/1.23 stat_given_candidates: 760
% 5.51/1.23 stat_given_candidates_at_endgame: 0
% 5.51/1.23 stat_given_candidates_h: 0
% 5.51/1.23 stat_binres_derived_cl: 2200
% 5.51/1.23 stat_binres_derived_cl_h: 0
% 5.51/1.23 stat_factor_derived_cl: 1
% 5.51/1.23 stat_para_derived_cl: 2306
% 5.51/1.23 stat_tautologies_discarded: 0
% 5.51/1.23 stat_forward_subsumed: 678
% 5.51/1.23 stat_derived_cut: 1677
% 5.51/1.23 stat_derived_rewritten: 0
% 5.51/1.23 stat_weight_discarded_building: 0
% 5.51/1.23 stat_weight_discarded_cl: 0
% 5.51/1.23 stat_internlimit_discarded_cl: 0
% 5.51/1.23 stat_simplified: 0 simplified 0 derived 0 given
% 5.51/1.23 stat_kept_cl: 3828
% 5.51/1.23 stat_built_cl: 5288
% 5.51/1.23 stat_hyperres_partial_cl: 0
% 5.51/1.23 stat_made_rewriters: 0
% 5.51/1.23 stat_backward_subsumed: 0
% 5.51/1.23 stat_propagated_subsumed: 0
% 5.51/1.23 stat_clsubs_attempted: 11439
% 5.51/1.23 stat_clsubs_fact_groundunit_found: 0
% 5.51/1.23 stat_clsubs_rule_groundunit_found: 24
% 5.51/1.23 stat_clsubs_top_meta_attempted: 243587
% 5.51/1.23 stat_clsubs_top_meta_failed: 232148
% 5.51/1.23 stat_clsubs_top_meta_nonpref_attempted: 243587
% 5.51/1.23 stat_clsubs_top_meta_nonpref_succeeded: 48854
% 5.51/1.23 stat_clsubs_top_meta_pref_attempted: 48854
% 5.51/1.23 stat_clsubs_top_meta_pref1_succeeded: 42789
% 5.51/1.23 stat_clsubs_top_meta_pref2_succeeded: 14374
% 5.51/1.23 stat_clsubs_top_meta_pref3_succeeded: 11439
% 5.51/1.23 stat_clsubs_top_meta_pref_succeeded: 11439
% 5.51/1.23 stat_clsubs_meta_attempted: 16728
% 5.51/1.23 stat_clsubs_meta_failed: 5080
% 5.51/1.23 stat_clsubs_predsymbs_attempted: 0
% 5.51/1.23 stat_clsubs_unit_attempted: 7357
% 5.51/1.23 stat_clsubs_full_attempted: 4082
% 5.51/1.23 stat_forwardsubs_attempted: 4507
% 5.51/1.23 stat_lit_hash_added: 4465
% 5.51/1.23 stat_lit_hash_computed: 23732
% 5.51/1.23 stat_lit_hash_match_found: 2610
% 5.51/1.23 stat_lit_hash_match_miss: 27893
% 5.51/1.23 stat_lit_hash_cut_ok: 1904
% 5.51/1.23 stat_lit_strong_cut_ok: 0
% 5.51/1.23 stat_lit_hash_subsume_ok: 678
% 5.51/1.23 clqueue els 10000000 used 1
% 5.51/1.23 clactive els 10000000 used 731
% 5.51/1.23 clactivesubsume els 10000000 used 3757
% 5.51/1.23 queue_termbuf els 200000000 used 269246
% 5.51/1.23 hyper_termbuf els 100000000 used 1
% 5.51/1.23 active_termbuf els 100000000 used 29378
% 5.51/1.23 varstack els 5000 last used 1
% 5.51/1.23 given_termbuf els 10000000 last used 1
% 5.51/1.23 simplified_termbuf els 10000000 last used 1
% 5.51/1.23 derived_termbuf els 10000000 last used 21
% 5.51/1.23 wr_mallocs: 10245
% 5.51/1.23 wr_callocs: 21
% 5.51/1.23 wr_reallocs: 777
% 5.51/1.23 wr_frees: 4
% 5.51/1.23 wr_malloc_bytes: 4162955348
% 5.51/1.23 wr_calloc_bytes: 112065536
% 5.51/1.23 wr_realloc_bytes: 197248
% 5.51/1.23 wr_realloc_freebytes: 0
% 5.51/1.23 ----------------------------------
% 5.51/1.23
% 5.51/1.23
% 5.51/1.23 fork 1: search terminated without proof.
%------------------------------------------------------------------------------