TSTP Solution File: SWB036+1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : SWB036+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n032.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 20:08:38 EDT 2023
% Result : Timeout 300.79s 39.05s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB036+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : gkc %s
% 0.12/0.34 % Computer : n032.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 07:27:59 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: 1097
% 0.12/0.39 in_rule_clause_count: 1085
% 0.12/0.39 in_fact_clause_count: 12
% 0.12/0.39 in_answer_clause_count: 0
% 0.12/0.39 in_ground_clause_count: 22
% 0.12/0.39 in_unit_clause_count: 23
% 0.12/0.39 in_horn_clause_count: 1061
% 0.12/0.39 in_pos_clause_count: 13
% 0.12/0.39 in_neg_clause_count: 417
% 0.12/0.39 in_poseq_clause_count: 9
% 0.12/0.39 in_negeq_clause_count: 18
% 0.12/0.39 in_unitposeq_clause_count: 0
% 0.12/0.39 in_chain_clause_count: 235
% 0.12/0.39 in_min_length: 1
% 0.12/0.39 in_max_length: 10
% 0.12/0.39 in_min_depth: 1
% 0.12/0.39 in_max_depth: 2
% 0.12/0.39 in_min_size: 2
% 0.12/0.39 in_max_size: 22
% 0.12/0.39 in_min_vars: 0
% 0.12/0.39 in_max_vars: 4
% 0.12/0.39 in_extaxiom_count: 0
% 0.12/0.39 in_axiom_count: 1097
% 0.12/0.39 in_assumption_count: 0
% 0.12/0.39 in_goal_count: 0
% 0.12/0.39 in_neg_goal_count: 0
% 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,
% 0.12/0.39 "max_dseconds": 0,
% 0.12/0.39 "runs":[
% 0.12/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.12/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight","prohibit_unordered_para"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.12/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.12/0.39 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.12/0.39 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.12/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.12/0.39 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.12/0.39 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.12/0.39 {"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},
% 0.12/0.39 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.12/0.39 {"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},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.12/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.12/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.12/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.12/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.12/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.12/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.12/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.12/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.12/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.12/0.39 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.12/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.12/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.12/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.12/0.39 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.12/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.12/0.39 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.12/0.39 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.12/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.12/0.39 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.12/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.12/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.12/0.39 {"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},
% 0.12/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.12/0.39 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.12/0.39 {"sine":4, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.12/0.39 {"sine":4, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.12/0.39 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.12/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.12/0.39 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.12/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.12/0.39 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.12/0.39 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.12/0.39 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.12/0.39 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.12/0.39 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.12/0.39 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.12/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.12/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.12/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.12/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.12/0.39 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.12/0.39 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.12/0.39 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.12/0.39 {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "sine":1, "max_dseconds":1},
% 0.12/0.39 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.12/0.39 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.12/0.39
% 0.12/0.39 {"max_dseconds":10, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":10, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.12/0.39 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.12/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "sine":5},
% 0.12/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":10, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.12/0.39 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":10, "strategy":["query_focus", "max_ground_weight","prohibit_unordered_para"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.12/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.12/0.39 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.12/0.39 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.12/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.12/0.39 {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.12/0.39 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.12/0.39 {"max_dseconds":10, "strategy":["query_focus"], "query_preference":2},
% 0.12/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.12/0.39 {"max_dseconds":10, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.12/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
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% 42.95/6.00 fork 4: search finished without proof.
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% 150.32/19.93 **** run 257 fork 0 starts with strategy
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% 153.11/20.13
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% 154.47/20.30 {"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":50}
% 156.05/20.61
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% 168.29/22.23 fork 6: search finished without proof.
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% 232.21/30.28
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%------------------------------------------------------------------------------