TSTP Solution File: LCL533+1 by GKC---0.8
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- Process Solution
%------------------------------------------------------------------------------
% File : GKC---0.8
% Problem : LCL533+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : gkc %s
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 07:39:39 EDT 2023
% Result : Theorem 129.10s 17.07s
% Output : CNFRefutation 129.10s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL533+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : gkc %s
% 0.17/0.34 % Computer : n008.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Thu Aug 24 18:24:02 EDT 2023
% 0.17/0.34 % CPUTime :
% 0.21/0.39
% 0.21/0.39 input clause set summed statistics:
% 0.21/0.39 ----------------------------------
% 0.21/0.39 in_clause_count: 146
% 0.21/0.39 in_rule_clause_count: 146
% 0.21/0.39 in_fact_clause_count: 0
% 0.21/0.39 in_answer_clause_count: 0
% 0.21/0.39 in_ground_clause_count: 88
% 0.21/0.39 in_unit_clause_count: 30
% 0.21/0.39 in_horn_clause_count: 137
% 0.21/0.39 in_pos_clause_count: 38
% 0.21/0.39 in_neg_clause_count: 1
% 0.21/0.39 in_poseq_clause_count: 11
% 0.21/0.39 in_negeq_clause_count: 2
% 0.21/0.39 in_unitposeq_clause_count: 0
% 0.21/0.39 in_chain_clause_count: 0
% 0.21/0.39 in_min_length: 1
% 0.21/0.39 in_max_length: 4
% 0.21/0.39 in_min_depth: 1
% 0.21/0.39 in_max_depth: 5
% 0.21/0.39 in_min_size: 2
% 0.21/0.39 in_max_size: 17
% 0.21/0.39 in_min_vars: 0
% 0.21/0.39 in_max_vars: 3
% 0.21/0.39 in_extaxiom_count: 139
% 0.21/0.39 in_axiom_count: 6
% 0.21/0.39 in_assumption_count: 0
% 0.21/0.39 in_goal_count: 1
% 0.21/0.39 in_neg_goal_count: 1
% 0.21/0.39 in_pos_goal_count: 0
% 0.21/0.39 in_posunit_goal_count: 0
% 0.21/0.39
% 0.21/0.39 auto guide:
% 0.21/0.39 -----------
% 0.21/0.39 {
% 0.21/0.39 "print":1,
% 0.21/0.39 "print_level": 15,
% 0.21/0.39 "max_size": 0,
% 0.21/0.39 "max_depth": 0,
% 0.21/0.39 "max_length": 0,
% 0.21/0.39 "max_dseconds": 0,
% 0.21/0.39 "runs":[
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.21/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1, "max_size":15},
% 0.21/0.39 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.39 {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara","prohibit_unordered_para"], "max_dseconds":1},
% 0.21/0.39 {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.21/0.39 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.39 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.21/0.39 {"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},
% 0.21/0.39 {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.39 {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.21/0.39 {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.39 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.39 {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":1},
% 0.21/0.39 {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.39 {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.21/0.39 {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.21/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.21/0.39 {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.39 {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.39 {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.39 {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.21/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.21/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.21/0.39 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.21/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.21/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.21/0.39 {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.21/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.21/0.39 {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.21/0.39 {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.39 {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.21/0.39 {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.21/0.39 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.21/0.39 {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.21/0.39 {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39 {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.21/0.39 {"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},
% 0.21/0.39 {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.21/0.39 {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.21/0.39 {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.21/0.39 {"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},
% 0.21/0.39 {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.21/0.39
% 0.21/0.39 {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":10, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.21/0.39 {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.21/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.21/0.39 {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
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% 11.65/1.89 {"max_dseconds":1,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
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% 11.65/1.94 {"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}
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% 12.92/2.05 {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":4}
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% 13.09/2.07 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":0,"strategy":["query_focus","posunitpara"],"max_dseconds":1}
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% 13.66/2.19 {"max_dseconds":10,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
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% 13.66/2.23 {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":1,"strategy":["positive_pref","unit"],"max_dseconds":1}
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% 13.66/2.25 {"max_dseconds":10,"sine":5,"strategy":["negative_pref"],"query_preference":0}
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% 13.66/2.29 **** run 137 fork 0 starts with strategy
% 13.66/2.29 {"max_dseconds":10,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
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% 13.66/2.35 **** run 96 fork 7 starts with strategy
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% 13.66/2.39 **** run 119 fork 6 starts with strategy
% 13.66/2.39 {"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"depth_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
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% 16.56/2.52
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% 16.79/2.56 fork 7: search finished without proof.
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% 16.79/2.59 **** run 112 fork 7 starts with strategy
% 16.79/2.59 {"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"depth_penalty":100,"query_preference":1,"strategy":["positive_pref","unit"],"max_dseconds":1}
% 16.79/2.59
% 16.79/2.59 **** run 135 fork 6 starts with strategy
% 16.79/2.59 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 18.12/2.72
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% 18.12/2.74 **** run 120 fork 7 starts with strategy
% 18.12/2.74 {"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}
% 19.22/2.88
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% 20.01/2.95 {"max_dseconds":10,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 20.01/2.98
% 20.01/2.98 **** run 134 fork 5 starts with strategy
% 20.01/2.98 {"max_dseconds":10,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 20.01/3.02
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% 20.01/3.02 fork 3: search terminated without proof.
% 20.01/3.07
% 20.01/3.07 **** run 140 fork 3 starts with strategy
% 20.01/3.07 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1}
% 20.01/3.11
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% 20.01/3.14
% 20.01/3.14 **** run 139 fork 2 starts with strategy
% 20.01/3.14 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1}
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% 23.27/3.40 **** run 153 fork 0 starts with strategy
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% 25.67/3.67 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 27.90/4.03
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% 27.90/4.03 fork 7: search terminated without proof.
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% 28.56/4.05 **** run 144 fork 7 starts with strategy
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% 28.93/4.13
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% 28.93/4.13 fork 3: search terminated without proof.
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% 29.54/4.16 **** run 148 fork 3 starts with strategy
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% 29.54/4.16 fork 2: search terminated without proof.
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% 29.54/4.21 **** run 147 fork 2 starts with strategy
% 29.54/4.21 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
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% 29.98/4.23 fork 2: search finished without proof.
% 29.98/4.25
% 29.98/4.25 **** run 155 fork 2 starts with strategy
% 29.98/4.25 {"max_dseconds":10,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":0,"rewrite":0}
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% 30.28/4.33
% 30.28/4.33 **** run 146 fork 1 starts with strategy
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% 30.96/4.34 fork 4: search terminated without proof.
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% 30.96/4.36 {"max_dseconds":10,"strategy":["query_focus","positive_pref"],"query_preference":0}
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% 31.33/4.46 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"max_depth":1}
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% 31.33/4.49 fork 0: search finished without proof.
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% 31.33/4.51 {"max_dseconds":10,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1}
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% 34.61/4.83 **** run 159 fork 6 starts with strategy
% 34.61/4.83 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":30,"depth_penalty":100}
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% 36.99/5.29 {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":2,"strategy":["unit"],"max_dseconds":10}
% 38.45/5.32
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% 38.45/5.33 **** run 171 fork 2 starts with strategy
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% 38.45/5.37 **** run 150 fork 5 starts with strategy
% 38.45/5.37 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"sine":2}
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% 38.45/5.37 **** run 179 fork 2 starts with strategy
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% 39.19/5.41 **** run 187 fork 2 starts with strategy
% 39.19/5.41 {"sine":1,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":10}
% 39.19/5.42
% 39.19/5.42 **** run 158 fork 5 starts with strategy
% 39.19/5.42 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"max_depth":3}
% 39.55/5.44
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% 39.55/5.45 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"length_penalty":100}
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% 39.55/5.46 **** run 195 fork 2 starts with strategy
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% 39.55/5.47 fork 5: search finished without proof.
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% 39.55/5.54 fork 0: search terminated without proof.
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% 40.33/5.56 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"max_depth":2}
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% 40.79/5.61 **** run 185 fork 0 starts with strategy
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% 41.60/5.73 fork 0: search finished without proof.
% 41.94/5.74
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% 42.77/5.86
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% 42.77/5.88 **** run 167 fork 6 starts with strategy
% 42.77/5.88 {"weight_select_ratio":100,"query_preference":1,"strategy":["negative_pref"],"max_dseconds":10}
% 44.85/6.19
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% 44.85/6.19 fork 7: search terminated without proof.
% 44.85/6.22
% 44.85/6.22 **** run 160 fork 7 starts with strategy
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% 46.01/6.29 **** run 168 fork 7 starts with strategy
% 46.01/6.29 {"max_dseconds":10,"strategy":["unit"],"query_preference":1,"max_depth":2}
% 46.01/6.30
% 46.01/6.30 **** run 164 fork 3 starts with strategy
% 46.01/6.30 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":1,"strategy":["query_focus","max_weight"],"max_dseconds":10,"max_size":15}
% 46.01/6.33
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% 48.07/6.56
% 48.07/6.56 **** run 165 fork 4 starts with strategy
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% 48.07/6.56
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% 51.04/6.93 {"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":10}
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% 56.16/7.62 {"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":10}
% 56.16/7.64
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% 59.38/8.00
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% 63.05/8.49 {"max_dseconds":10,"strategy":["negative_pref","max_ground_weight"],"query_preference":1}
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% 64.15/8.67 {"max_dseconds":10,"strategy":["unit","pure_unit"],"weight_select_ratio":1,"query_preference":0}
% 64.15/8.67
% 64.15/8.67 **** run 181 fork 4 starts with strategy
% 64.15/8.67 {"weight_select_ratio":20,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":10}
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% 64.70/8.71 {"length_penalty":100,"query_preference":1,"strategy":["positive_pref","posunitpara"],"max_dseconds":10}
% 64.70/8.71
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% 64.70/8.71
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% 64.70/8.71 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":10}
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% 65.44/8.77
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% 65.44/8.77 {"weight_select_ratio":100,"rewrite":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":10}
% 65.44/8.89
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% 65.44/8.92
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% 65.44/8.92 {"weight_select_ratio":100,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":10}
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% 68.59/9.19 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"max_depth":4}
% 71.03/9.52
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% 71.03/9.55 **** run 188 fork 3 starts with strategy
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% 71.03/9.57
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% 71.03/9.75 **** run 189 fork 4 starts with strategy
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% 71.03/9.76 **** run 243 fork 2 starts with strategy
% 71.03/9.76 {"max_dseconds":10,"strategy":["query_focus","posunitpara"],"query_preference":1,"depth_penalty":50,"length_penalty":100}
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% 73.10/9.78 {"max_dseconds":10,"strategy":["hardness_pref","posunitpara"],"query_preference":1}
% 73.38/9.80
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% 73.60/9.82
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% 73.64/9.86
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% 73.64/9.89
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% 74.25/9.94
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% 74.25/9.97
% 74.25/9.97 **** run 241 fork 0 starts with strategy
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% 76.66/10.33
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% 76.66/10.36 **** run 215 fork 6 starts with strategy
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% 76.66/10.39
% 76.66/10.39 fork 6: search finished without proof.
% 76.66/10.41
% 76.66/10.41 **** run 223 fork 6 starts with strategy
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% 79.72/10.62
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% 80.66/10.76 fork 2: search finished without proof.
% 80.66/10.79
% 80.66/10.79 **** run 251 fork 2 starts with strategy
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% 81.25/10.84
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% 81.89/10.87 fork 1: search finished without proof.
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% 81.93/10.89
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% 82.11/10.90
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% 82.11/10.92
% 82.11/10.92 **** run 216 fork 7 starts with strategy
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% 82.26/10.94
% 82.26/10.94 fork 7: search finished without proof.
% 82.26/10.96
% 82.26/10.96 **** run 224 fork 7 starts with strategy
% 82.26/10.96 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"sine":1}
% 82.26/10.99
% 82.26/10.99 fork 7: search finished without proof.
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% 82.26/11.00 fork 0: search terminated without proof.
% 82.26/11.00
% 82.26/11.00 **** run 232 fork 7 starts with strategy
% 82.26/11.00 {"weight_select_ratio":100,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"query_preference":1,"strategy":["query_focus","max_weight"],"max_dseconds":10}
% 83.04/11.02
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% 83.04/11.02 {"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":10}
% 83.04/11.05
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% 83.64/11.10
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% 86.16/11.46 **** run 231 fork 6 starts with strategy
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% 86.53/11.49
% 86.53/11.49 fork 6: search finished without proof.
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% 86.53/11.50 **** run 239 fork 6 starts with strategy
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% 88.00/11.70
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% 88.92/11.92 fork 1: search terminated without proof.
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% 88.92/11.93 **** run 213 fork 4 starts with strategy
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% 88.92/11.95
% 88.92/11.95 **** run 218 fork 1 starts with strategy
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% 90.38/11.98
% 90.38/11.98 fork 1: search finished without proof.
% 90.38/12.00
% 90.38/12.00 **** run 226 fork 1 starts with strategy
% 90.38/12.00 {"max_dseconds":10,"strategy":["query_focus"],"query_preference":1,"sine":1}
% 90.60/12.02
% 90.60/12.02 fork 1: search finished without proof.
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% 90.60/12.04 **** run 234 fork 1 starts with strategy
% 90.60/12.04 {"sine":1,"rewrite":0,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":10}
% 91.04/12.06
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% 91.04/12.06 {"max_dseconds":10,"strategy":["positive_pref"],"query_preference":0,"reverse_clauselist":1}
% 91.04/12.07
% 91.04/12.07 fork 1: search finished without proof.
% 91.04/12.08
% 91.04/12.08 **** run 242 fork 1 starts with strategy
% 91.04/12.08 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":1,"var_weight":1,"repeat_var_weight":1}
% 92.99/12.31
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% 93.44/12.35
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% 93.44/12.35 {"max_dseconds":10,"strategy":["unit","pure_unit"],"query_preference":0}
% 93.44/12.38
% 93.44/12.38 fork 5: search finished without proof.
% 93.44/12.40
% 93.44/12.40 **** run 222 fork 5 starts with strategy
% 93.44/12.40 {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":0,"strategy":["negative_pref","max_weight"],"max_dseconds":10}
% 93.44/12.42
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% 93.44/12.44 **** run 230 fork 5 starts with strategy
% 93.44/12.44 {"max_dseconds":10,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100,"sine":2}
% 94.23/12.47
% 94.23/12.47 fork 5: search finished without proof.
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% 94.23/12.48 **** run 238 fork 5 starts with strategy
% 94.23/12.48 {"max_dseconds":10,"strategy":["hardness_pref","posunitpara"],"query_preference":1,"sine":1}
% 94.57/12.51
% 94.57/12.51 fork 5: search finished without proof.
% 94.57/12.52
% 94.57/12.52 **** run 246 fork 5 starts with strategy
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% 97.82/12.99 fork 3: search finished without proof.
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% 98.83/13.08
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% 98.83/13.11 fork 1: search terminated without proof.
% 98.83/13.12
% 98.83/13.12 **** run 248 fork 7 starts with strategy
% 98.83/13.12 {"sine":1,"rewrite":0,"depth_penalty":50,"query_preference":2,"strategy":["hardness_pref","posunitpara"],"max_dseconds":10}
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% 98.83/13.15 fork 7: search finished without proof.
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% 98.83/13.15 **** run 250 fork 1 starts with strategy
% 98.83/13.15 {"depth_penalty":50,"query_preference":2,"strategy":["negative_pref"],"max_dseconds":10,"sine":2}
% 99.58/13.16
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% 99.58/13.16 {"max_dseconds":50,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 99.58/13.18
% 99.58/13.18 fork 1: search finished without proof.
% 99.83/13.20
% 99.83/13.20 **** run 258 fork 1 starts with strategy
% 99.83/13.20 {"max_dseconds":50,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 102.02/13.55
% 102.02/13.55
% 102.02/13.55 fork 5: search terminated without proof.
% 102.57/13.57
% 102.57/13.57 **** run 254 fork 5 starts with strategy
% 102.57/13.57 {"max_dseconds":50,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 102.62/13.59
% 102.62/13.59 fork 5: search finished without proof.
% 102.90/13.61
% 102.90/13.61 **** run 262 fork 5 starts with strategy
% 102.90/13.61 {"max_dseconds":50,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 104.37/13.79
% 104.37/13.79
% 104.37/13.79 fork 6: search terminated without proof.
% 104.37/13.82
% 104.37/13.82 **** run 255 fork 6 starts with strategy
% 104.37/13.82 {"max_dseconds":50,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 105.01/14.02
% 105.01/14.02
% 105.01/14.02 fork 4: search terminated without proof.
% 106.14/14.06
% 106.14/14.06 **** run 229 fork 4 starts with strategy
% 106.14/14.06 {"max_dseconds":10,"strategy":["negative_pref"],"query_preference":0,"max_depth":2}
% 106.39/14.09
% 106.39/14.09 fork 4: search finished without proof.
% 106.39/14.11
% 106.39/14.11 fork 3: search finished without proof.
% 106.39/14.11
% 106.39/14.11 **** run 237 fork 4 starts with strategy
% 106.39/14.11 {"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"depth_penalty":100,"query_preference":1,"strategy":["positive_pref","unit"],"max_dseconds":10}
% 107.03/14.16
% 107.03/14.16 **** run 236 fork 3 starts with strategy
% 107.03/14.16 {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":1,"strategy":["positive_pref","unit"],"max_dseconds":10}
% 114.29/15.14
% 114.29/15.14
% 114.29/15.14 fork 4: search terminated without proof.
% 114.80/15.17
% 114.80/15.17 **** run 245 fork 4 starts with strategy
% 114.80/15.17 {"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":10}
% 114.80/15.27
% 114.80/15.27
% 114.80/15.27 fork 3: search terminated without proof.
% 114.80/15.31
% 114.80/15.31 **** run 244 fork 3 starts with strategy
% 114.80/15.31 {"var_weight":70,"repeat_var_weight":70,"length_penalty":100,"depth_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":10}
% 119.88/15.90
% 119.88/15.90
% 119.88/15.90 fork 2: search terminated without proof.
% 119.88/15.94
% 119.88/15.94 **** run 259 fork 2 starts with strategy
% 119.88/15.94 {"max_dseconds":50,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 122.57/16.19
% 122.57/16.19 fork 4: search finished without proof.
% 122.57/16.22
% 122.57/16.22 **** run 253 fork 4 starts with strategy
% 122.57/16.22 {"max_dseconds":50,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 123.03/16.24
% 123.03/16.24 fork 4: search finished without proof.
% 123.23/16.26
% 123.23/16.26 **** run 261 fork 4 starts with strategy
% 123.23/16.26 {"max_dseconds":50,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 123.23/16.26
% 123.23/16.26
% 123.23/16.26 fork 0: search terminated without proof.
% 123.23/16.30
% 123.23/16.30 **** run 265 fork 0 starts with strategy
% 123.23/16.30 {"max_dseconds":50,"strategy":["query_focus"],"query_preference":1}
% 123.77/16.34
% 123.77/16.34
% 123.77/16.34 fork 3: search terminated without proof.
% 124.10/16.37
% 124.10/16.37 **** run 252 fork 3 starts with strategy
% 124.10/16.37 {"max_dseconds":50,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 124.10/16.39
% 124.10/16.39 fork 3: search finished without proof.
% 124.10/16.41
% 124.10/16.41 **** run 260 fork 3 starts with strategy
% 124.10/16.41 {"max_dseconds":50,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 129.10/17.07
% 129.10/17.07
% 129.10/17.07 result: proof found
% 129.10/17.07 for /export/starexec/sandbox/benchmark/theBenchmark.p
% 129.10/17.07 by run 260 fork 3 strategy {"max_dseconds":50,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 129.10/17.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 129.10/17.07
% 129.10/17.07 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 129.10/17.07 fof('$inc_op_possibly_$sk', plain, ((possibly(X1) = not(necessarily(not(X1)))) | ~op_possibly),
% 129.10/17.07 inference(negpush_and_skolemize,[],['$inc_op_possibly'])).
% 129.10/17.07 fof('$inc_op_possibly', axiom, (op_possibly => (! [X] : (possibly(X) = not(necessarily(not(X)))))),
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_km5_op_possibly', axiom, op_possibly,
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_op_equiv_$sk', plain, ((equiv(X2,X1) = and(implies(X2,X1),implies(X1,X2))) | ~op_equiv),
% 129.10/17.07 inference(negpush_and_skolemize,[],['$inc_op_equiv'])).
% 129.10/17.07 fof('$inc_op_equiv', axiom, (op_equiv => (! [X,Y] : (equiv(X,Y) = and(implies(X,Y),implies(Y,X))))),
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_hilbert_op_equiv', axiom, op_equiv,
% 129.10/17.07 input).
% 129.10/17.07 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))))),
% 129.10/17.07 inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 129.10/17.07 fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_hilbert_modus_ponens', axiom, modus_ponens,
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_and_3_$sk', plain, ((~and_3 | is_a_theorem(implies(X2,implies(X1,and(X2,X1))))) & (and_3 | ~is_a_theorem(implies($sk77,implies($sk76,and($sk77,$sk76)))))),
% 129.10/17.07 inference(negpush_and_skolemize,[],['$inc_and_3'])).
% 129.10/17.07 fof('$inc_and_3', axiom, (and_3 <=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,and(X,Y)))))),
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_hilbert_and_3', axiom, and_3,
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_op_strict_implies_$sk', plain, ((strict_implies(X2,X1) = necessarily(implies(X2,X1))) | ~op_strict_implies),
% 129.10/17.07 inference(negpush_and_skolemize,[],['$inc_op_strict_implies'])).
% 129.10/17.07 fof('$inc_op_strict_implies', axiom, (op_strict_implies => (! [X,Y] : (strict_implies(X,Y) = necessarily(implies(X,Y))))),
% 129.10/17.07 input).
% 129.10/17.07 fof('s1_0_op_strict_implies', axiom, op_strict_implies,
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_axiom_M_$sk', plain, ((~axiom_M | is_a_theorem(implies(necessarily(X1),X1))) & (axiom_M | ~is_a_theorem(implies(necessarily($sk30),$sk30)))),
% 129.10/17.07 inference(negpush_and_skolemize,[],['$inc_axiom_M'])).
% 129.10/17.07 fof('$inc_axiom_M', axiom, (axiom_M <=> (! [X] : is_a_theorem(implies(necessarily(X),X)))),
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_km5_axiom_M', axiom, axiom_M,
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_necessitation_$sk', plain, ((~necessitation | (is_a_theorem(necessarily(X1)) | ~is_a_theorem(X1))) & (necessitation | (~is_a_theorem(necessarily($sk39)) & is_a_theorem($sk39)))),
% 129.10/17.07 inference(negpush_and_skolemize,[],['$inc_necessitation'])).
% 129.10/17.07 fof('$inc_necessitation', axiom, (necessitation <=> (! [X] : (is_a_theorem(X) => is_a_theorem(necessarily(X))))),
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_km5_necessitation', axiom, necessitation,
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_and_2_$sk', plain, ((~and_2 | is_a_theorem(implies(and(X2,X1),X1))) & (and_2 | ~is_a_theorem(implies(and($sk79,$sk78),$sk78)))),
% 129.10/17.07 inference(negpush_and_skolemize,[],['$inc_and_2'])).
% 129.10/17.07 fof('$inc_and_2', axiom, (and_2 <=> (! [X,Y] : is_a_theorem(implies(and(X,Y),Y)))),
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_hilbert_and_2', axiom, and_2,
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_substitution_of_equivalents_$sk', plain, ((~substitution_of_equivalents | ((X2 = X1) | ~is_a_theorem(equiv(X2,X1)))) & (substitution_of_equivalents | (~($sk92 = $sk91) & is_a_theorem(equiv($sk92,$sk91))))),
% 129.10/17.07 inference(negpush_and_skolemize,[],['$inc_substitution_of_equivalents'])).
% 129.10/17.07 fof('$inc_substitution_of_equivalents', axiom, (substitution_of_equivalents <=> (! [X,Y] : (is_a_theorem(equiv(X,Y)) => (X = Y)))),
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_op_implies_and_$sk', plain, ((implies(X2,X1) = not(and(X2,not(X1)))) | ~op_implies_and),
% 129.10/17.07 inference(negpush_and_skolemize,[],['$inc_op_implies_and'])).
% 129.10/17.07 fof('$inc_op_implies_and', axiom, (op_implies_and => (! [X,Y] : (implies(X,Y) = not(and(X,not(Y)))))),
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_hilbert_op_implies_and', axiom, op_implies_and,
% 129.10/17.07 input).
% 129.10/17.07 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)))))),
% 129.10/17.07 inference(negpush_and_skolemize,[],['$inc_implies_3'])).
% 129.10/17.07 fof('$inc_implies_3', axiom, (implies_3 <=> (! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))))),
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_hilbert_implies_3', axiom, implies_3,
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_or_1_$sk', plain, ((~or_1 | is_a_theorem(implies(X2,or(X2,X1)))) & (or_1 | ~is_a_theorem(implies($sk75,or($sk75,$sk74))))),
% 129.10/17.07 inference(negpush_and_skolemize,[],['$inc_or_1'])).
% 129.10/17.07 fof('$inc_or_1', axiom, (or_1 <=> (! [X,Y] : is_a_theorem(implies(X,or(X,Y))))),
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_hilbert_or_1', axiom, or_1,
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_implies_2_$sk', plain, ((~implies_2 | is_a_theorem(implies(implies(X2,implies(X2,X1)),implies(X2,X1)))) & (implies_2 | ~is_a_theorem(implies(implies($sk86,implies($sk86,$sk85)),implies($sk86,$sk85))))),
% 129.10/17.07 inference(negpush_and_skolemize,[],['$inc_implies_2'])).
% 129.10/17.07 fof('$inc_implies_2', axiom, (implies_2 <=> (! [X,Y] : is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y))))),
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_hilbert_implies_2', axiom, implies_2,
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_implies_1_$sk', plain, ((~implies_1 | is_a_theorem(implies(X2,implies(X1,X2)))) & (implies_1 | ~is_a_theorem(implies($sk88,implies($sk87,$sk88))))),
% 129.10/17.07 inference(negpush_and_skolemize,[],['$inc_implies_1'])).
% 129.10/17.07 fof('$inc_implies_1', axiom, (implies_1 <=> (! [X,Y] : is_a_theorem(implies(X,implies(Y,X))))),
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_hilbert_implies_1', axiom, implies_1,
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_axiom_K_$sk', plain, ((~axiom_K | is_a_theorem(implies(necessarily(implies(X2,X1)),implies(necessarily(X2),necessarily(X1))))) & (axiom_K | ~is_a_theorem(implies(necessarily(implies($sk32,$sk31)),implies(necessarily($sk32),necessarily($sk31)))))),
% 129.10/17.07 inference(negpush_and_skolemize,[],['$inc_axiom_K'])).
% 129.10/17.07 fof('$inc_axiom_K', axiom, (axiom_K <=> (! [X,Y] : is_a_theorem(implies(necessarily(implies(X,Y)),implies(necessarily(X),necessarily(Y)))))),
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_km5_axiom_K', axiom, axiom_K,
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_or_3_$sk', plain, ((~or_3 | is_a_theorem(implies(implies(X3,X2),implies(implies(X1,X2),implies(or(X3,X1),X2))))) & (or_3 | ~is_a_theorem(implies(implies($sk71,$sk70),implies(implies($sk69,$sk70),implies(or($sk71,$sk69),$sk70)))))),
% 129.10/17.07 inference(negpush_and_skolemize,[],['$inc_or_3'])).
% 129.10/17.07 fof('$inc_or_3', axiom, (or_3 <=> (! [X,Y,Z] : is_a_theorem(implies(implies(X,Z),implies(implies(Y,Z),implies(or(X,Y),Z)))))),
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_hilbert_or_3', axiom, or_3,
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_op_or_$sk', plain, ((or(X2,X1) = not(and(not(X2),not(X1)))) | ~op_or),
% 129.10/17.07 inference(negpush_and_skolemize,[],['$inc_op_or'])).
% 129.10/17.07 fof('$inc_op_or', axiom, (op_or => (! [X,Y] : (or(X,Y) = not(and(not(X),not(Y)))))),
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_hilbert_op_or', axiom, op_or,
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_modus_tollens_$sk', plain, ((~modus_tollens | is_a_theorem(implies(implies(not(X2),not(X1)),implies(X1,X2)))) & (modus_tollens | ~is_a_theorem(implies(implies(not($sk90),not($sk89)),implies($sk89,$sk90))))),
% 129.10/17.07 inference(negpush_and_skolemize,[],['$inc_modus_tollens'])).
% 129.10/17.07 fof('$inc_modus_tollens', axiom, (modus_tollens <=> (! [X,Y] : is_a_theorem(implies(implies(not(Y),not(X)),implies(X,Y))))),
% 129.10/17.07 input).
% 129.10/17.07 fof('$inc_hilbert_modus_tollens', axiom, modus_tollens,
% 129.10/17.07 input).
% 129.10/17.07 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))))),
% 129.10/17.07 inference(negpush_and_skolemize,[],['$inc_axiom_m6'])).
% 129.10/17.07 fof('$inc_axiom_m6', axiom, (axiom_m6 <=> (! [X] : is_a_theorem(strict_implies(X,possibly(X))))),
% 129.10/17.07 input).
% 129.10/17.07 fof('s1_0_m6s3m9b_axiom_m6_$sk', plain, ~axiom_m6,
% 129.10/17.07 inference(negpush_and_skolemize,[],['s1_0_m6s3m9b_axiom_m6'])).
% 129.10/17.07 fof('s1_0_m6s3m9b_axiom_m6', conjecture, axiom_m6,
% 129.10/17.07 input).
% 129.10/17.07 cnf('1', plain, (~$pr(op_possibly) | possibly(X0) = not(necessarily(not(X0)))),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_op_possibly_$sk'])).
% 129.10/17.07 cnf('2', plain, ($pr(op_possibly)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_km5_op_possibly'])).
% 129.10/17.07 cnf('3', plain, (possibly(X) = not(necessarily(not(X)))),
% 129.10/17.07 inference(simplify,[],['1','2'])).
% 129.10/17.07 cnf('4', plain, (~$pr(op_equiv) | equiv(X0,X1) = and(implies(X0,X1),implies(X1,X0))),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_op_equiv_$sk'])).
% 129.10/17.07 cnf('5', plain, ($pr(op_equiv)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_hilbert_op_equiv'])).
% 129.10/17.07 cnf('6', plain, (equiv(X,Y) = and(implies(X,Y),implies(Y,X))),
% 129.10/17.07 inference(simplify,[],['4','5'])).
% 129.10/17.07 cnf('7', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 129.10/17.07 cnf('8', plain, ($pr(modus_ponens)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_hilbert_modus_ponens'])).
% 129.10/17.07 cnf('9', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 129.10/17.07 inference(simplify,[],['7','8'])).
% 129.10/17.07 cnf('10', plain, (~$pr(and_3) | is_a_theorem(implies(X0,implies(X1,and(X0,X1))))),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_and_3_$sk'])).
% 129.10/17.07 cnf('11', plain, ($pr(and_3)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_hilbert_and_3'])).
% 129.10/17.07 cnf('12', plain, (is_a_theorem(implies(X,implies(Y,and(X,Y))))),
% 129.10/17.07 inference(simplify,[],['10','11'])).
% 129.10/17.07 cnf('13', plain, (is_a_theorem(implies(X,and(Y,X))) | ~is_a_theorem(Y)),
% 129.10/17.07 inference(resolution,[],['9','12'])).
% 129.10/17.07 cnf('14', plain, (is_a_theorem(and(X,Y)) | ~is_a_theorem(Y) | ~is_a_theorem(X)),
% 129.10/17.07 inference(resolution,[],['13','9'])).
% 129.10/17.07 cnf('15', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(implies(Y,X)) | is_a_theorem(equiv(Y,X))),
% 129.10/17.07 inference(paramodulation,[],['6','14'])).
% 129.10/17.07 cnf('16', plain, (~$pr(op_strict_implies) | strict_implies(X0,X1) = necessarily(implies(X0,X1))),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_op_strict_implies_$sk'])).
% 129.10/17.07 cnf('17', plain, ($pr(op_strict_implies)),
% 129.10/17.07 inference(cnf_transformation,[],['s1_0_op_strict_implies'])).
% 129.10/17.07 cnf('18', plain, (strict_implies(X,Y) = necessarily(implies(X,Y))),
% 129.10/17.07 inference(simplify,[],['16','17'])).
% 129.10/17.07 cnf('19', plain, (~$pr(axiom_M) | is_a_theorem(implies(necessarily(X0),X0))),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_axiom_M_$sk'])).
% 129.10/17.07 cnf('20', plain, ($pr(axiom_M)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_km5_axiom_M'])).
% 129.10/17.07 cnf('21', plain, (is_a_theorem(implies(necessarily(X),X))),
% 129.10/17.07 inference(simplify,[],['19','20'])).
% 129.10/17.07 cnf('22', plain, (is_a_theorem(implies(strict_implies(X,Y),implies(X,Y)))),
% 129.10/17.07 inference(paramodulation,[],['18','21'])).
% 129.10/17.07 cnf('23', plain, (~is_a_theorem(strict_implies(X,Y)) | is_a_theorem(implies(X,Y))),
% 129.10/17.07 inference(resolution,[],['9','22'])).
% 129.10/17.07 cnf('24', plain, (~$pr(necessitation) | is_a_theorem(necessarily(X0)) | ~is_a_theorem(X0)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_necessitation_$sk'])).
% 129.10/17.07 cnf('25', plain, ($pr(necessitation)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_km5_necessitation'])).
% 129.10/17.07 cnf('26', plain, (is_a_theorem(necessarily(X)) | ~is_a_theorem(X)),
% 129.10/17.07 inference(simplify,[],['24','25'])).
% 129.10/17.07 cnf('27', plain, (~is_a_theorem(implies(X,Y)) | is_a_theorem(strict_implies(X,Y))),
% 129.10/17.07 inference(paramodulation,[],['18','26'])).
% 129.10/17.07 cnf('28', plain, (~$pr(and_2) | is_a_theorem(implies(and(X0,X1),X1))),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_and_2_$sk'])).
% 129.10/17.07 cnf('29', plain, ($pr(and_2)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_hilbert_and_2'])).
% 129.10/17.07 cnf('30', plain, (is_a_theorem(implies(and(X,Y),Y))),
% 129.10/17.07 inference(simplify,[],['28','29'])).
% 129.10/17.07 cnf('31', plain, (is_a_theorem(strict_implies(and(X,Y),Y))),
% 129.10/17.07 inference(resolution,[],['27','30'])).
% 129.10/17.07 cnf('32', plain, (is_a_theorem(implies(and(X3,Y3),Y3))),
% 129.10/17.07 inference(resolution,[],['23','31'])).
% 129.10/17.07 cnf('33', plain, (is_a_theorem(equiv(and(X,Y),Y)) | ~is_a_theorem(X)),
% 129.10/17.07 inference(resolution,[then_simplify],['15','13','32'])).
% 129.10/17.07 cnf('34', plain, (~$pr(substitution_of_equivalents) | ~is_a_theorem(equiv(X0,X1)) | X0 = X1),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_substitution_of_equivalents_$sk'])).
% 129.10/17.07 cnf('35', plain, ($pr(substitution_of_equivalents)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_substitution_of_equivalents_$sk'])).
% 129.10/17.07 cnf('36', plain, (~is_a_theorem(equiv(X,Y)) | X = Y),
% 129.10/17.07 inference(simplify,[],['34','35'])).
% 129.10/17.07 cnf('37', plain, (and(X,Y) = Y | ~is_a_theorem(X)),
% 129.10/17.07 inference(resolution,[],['33','36'])).
% 129.10/17.07 cnf('38', plain, (~$pr(op_implies_and) | implies(X0,X1) = not(and(X0,not(X1)))),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_op_implies_and_$sk'])).
% 129.10/17.07 cnf('39', plain, ($pr(op_implies_and)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_hilbert_op_implies_and'])).
% 129.10/17.07 cnf('40', plain, (implies(X,Y) = not(and(X,not(Y)))),
% 129.10/17.07 inference(simplify,[],['38','39'])).
% 129.10/17.07 cnf('41', plain, (implies(X,Y) = not(not(Y)) | ~is_a_theorem(X)),
% 129.10/17.07 inference(paramodulation,[],['37','40'])).
% 129.10/17.07 cnf('42', plain, (~$pr(implies_3) | is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_implies_3_$sk'])).
% 129.10/17.07 cnf('43', plain, ($pr(implies_3)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_hilbert_implies_3'])).
% 129.10/17.07 cnf('44', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))),
% 129.10/17.07 inference(simplify,[],['42','43'])).
% 129.10/17.07 cnf('45', plain, (is_a_theorem(implies(implies(X,Y),implies(Z,Y))) | ~is_a_theorem(implies(Z,X))),
% 129.10/17.07 inference(resolution,[],['44','9'])).
% 129.10/17.07 cnf('46', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(implies(Z,X)) | is_a_theorem(implies(Z,Y))),
% 129.10/17.07 inference(resolution,[],['45','9'])).
% 129.10/17.07 cnf('47', plain, (~$pr(or_1) | is_a_theorem(implies(X0,or(X0,X1)))),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_or_1_$sk'])).
% 129.10/17.07 cnf('48', plain, ($pr(or_1)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_hilbert_or_1'])).
% 129.10/17.07 cnf('49', plain, (is_a_theorem(implies(X,or(X,Y)))),
% 129.10/17.07 inference(simplify,[],['47','48'])).
% 129.10/17.07 cnf('50', plain, (is_a_theorem(implies(X,or(Y,Z))) | ~is_a_theorem(implies(X,Y))),
% 129.10/17.07 inference(resolution,[],['46','49'])).
% 129.10/17.07 cnf('51', plain, (~is_a_theorem(implies(X,Y)) | is_a_theorem(or(Y,Z)) | ~is_a_theorem(X)),
% 129.10/17.07 inference(resolution,[],['50','9'])).
% 129.10/17.07 cnf('52', plain, (~$pr(implies_2) | is_a_theorem(implies(implies(X0,implies(X0,X1)),implies(X0,X1)))),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_implies_2_$sk'])).
% 129.10/17.07 cnf('53', plain, ($pr(implies_2)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_hilbert_implies_2'])).
% 129.10/17.07 cnf('54', plain, (is_a_theorem(implies(implies(X,implies(X,Y)),implies(X,Y)))),
% 129.10/17.07 inference(simplify,[],['52','53'])).
% 129.10/17.07 cnf('55', plain, (~is_a_theorem(implies(X,implies(X,Y))) | is_a_theorem(implies(X,Y))),
% 129.10/17.07 inference(resolution,[],['54','9'])).
% 129.10/17.07 cnf('56', plain, (is_a_theorem(implies(X,and(X,X)))),
% 129.10/17.07 inference(resolution,[],['55','12'])).
% 129.10/17.07 cnf('57', plain, (is_a_theorem(implies(implies(X,X),equiv(X,X)))),
% 129.10/17.07 inference(paramodulation,[],['6','56'])).
% 129.10/17.07 cnf('58', plain, (~$pr(implies_1) | is_a_theorem(implies(X0,implies(X1,X0)))),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_implies_1_$sk'])).
% 129.10/17.07 cnf('59', plain, ($pr(implies_1)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_hilbert_implies_1'])).
% 129.10/17.07 cnf('60', plain, (is_a_theorem(implies(X,implies(Y,X)))),
% 129.10/17.07 inference(simplify,[],['58','59'])).
% 129.10/17.07 cnf('61', plain, (is_a_theorem(implies(X3,X3))),
% 129.10/17.07 inference(resolution,[],['55','60'])).
% 129.10/17.07 cnf('62', plain, (is_a_theorem(or(equiv(X,X),Y))),
% 129.10/17.07 inference(resolution,[then_simplify],['51','57','61'])).
% 129.10/17.07 cnf('63', plain, (~$pr(axiom_K) | is_a_theorem(implies(necessarily(implies(X0,X1)),implies(necessarily(X0),necessarily(X1))))),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_axiom_K_$sk'])).
% 129.10/17.07 cnf('64', plain, ($pr(axiom_K)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_km5_axiom_K'])).
% 129.10/17.07 cnf('65', plain, (is_a_theorem(implies(strict_implies(X,Y),implies(necessarily(X),necessarily(Y))))),
% 129.10/17.07 inference(simplify,[then_simplify],['63','64','18'])).
% 129.10/17.07 cnf('66', plain, (is_a_theorem(implies(necessarily(X),necessarily(Y))) | ~is_a_theorem(strict_implies(X,Y))),
% 129.10/17.07 inference(resolution,[],['65','9'])).
% 129.10/17.07 cnf('67', plain, (~is_a_theorem(strict_implies(X,Y)) | ~is_a_theorem(necessarily(X)) | is_a_theorem(necessarily(Y))),
% 129.10/17.07 inference(resolution,[],['66','9'])).
% 129.10/17.07 cnf('68', plain, (is_a_theorem(strict_implies(X,or(X,Y)))),
% 129.10/17.07 inference(resolution,[],['27','49'])).
% 129.10/17.07 cnf('69', plain, (is_a_theorem(necessarily(or(X,Y))) | ~is_a_theorem(necessarily(X))),
% 129.10/17.07 inference(resolution,[],['67','68'])).
% 129.10/17.07 cnf('70', plain, (~is_a_theorem(necessarily(X)) | is_a_theorem(X)),
% 129.10/17.07 inference(resolution,[],['9','21'])).
% 129.10/17.07 cnf('71', plain, (is_a_theorem(or(X,Y)) | ~is_a_theorem(necessarily(X))),
% 129.10/17.07 inference(resolution,[],['69','70'])).
% 129.10/17.07 cnf('72', plain, (~$pr(or_3) | is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X1),implies(or(X0,X2),X1))))),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_or_3_$sk'])).
% 129.10/17.07 cnf('73', plain, ($pr(or_3)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_hilbert_or_3'])).
% 129.10/17.07 cnf('74', plain, (is_a_theorem(implies(implies(X,Y),implies(implies(Z,Y),implies(or(X,Z),Y))))),
% 129.10/17.07 inference(simplify,[],['72','73'])).
% 129.10/17.07 cnf('75', plain, (is_a_theorem(implies(implies(X,Y),implies(or(X,X),Y)))),
% 129.10/17.07 inference(resolution,[],['74','55'])).
% 129.10/17.07 cnf('76', plain, (is_a_theorem(implies(or(X,X),Y)) | ~is_a_theorem(implies(X,Y))),
% 129.10/17.07 inference(resolution,[],['75','9'])).
% 129.10/17.07 cnf('77', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(or(X,X)) | is_a_theorem(Y)),
% 129.10/17.07 inference(resolution,[],['76','9'])).
% 129.10/17.07 cnf('78', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(necessarily(X)) | is_a_theorem(Y)),
% 129.10/17.07 inference(resolution,[],['71','77'])).
% 129.10/17.07 cnf('79', plain, (is_a_theorem(implies(or(X3,X3),Y3)) | ~is_a_theorem(necessarily(implies(X3,Y3)))),
% 129.10/17.07 inference(resolution,[],['78','75'])).
% 129.10/17.07 cnf('80', plain, (is_a_theorem(implies(or(X,X),Y)) | ~is_a_theorem(strict_implies(X,Y))),
% 129.10/17.07 inference(simplify,[],['79','18'])).
% 129.10/17.07 cnf('81', plain, (~is_a_theorem(strict_implies(X,Y)) | ~is_a_theorem(or(X,X)) | is_a_theorem(Y)),
% 129.10/17.07 inference(resolution,[],['80','9'])).
% 129.10/17.07 cnf('82', plain, (~is_a_theorem(strict_implies(equiv(X,X),Y)) | is_a_theorem(Y)),
% 129.10/17.07 inference(resolution,[],['62','81'])).
% 129.10/17.07 cnf('83', plain, (is_a_theorem(strict_implies(X,or(Y,Z))) | ~is_a_theorem(implies(X,Y))),
% 129.10/17.07 inference(resolution,[],['50','27'])).
% 129.10/17.07 cnf('84', plain, (~is_a_theorem(implies(equiv(X,X),Y)) | is_a_theorem(or(Y,Z))),
% 129.10/17.07 inference(resolution,[],['82','83'])).
% 129.10/17.07 cnf('85', plain, (is_a_theorem(or(implies(X,equiv(Y,Y)),Z))),
% 129.10/17.07 inference(resolution,[],['84','60'])).
% 129.10/17.07 cnf('86', plain, (~is_a_theorem(strict_implies(implies(X,equiv(Y,Y)),Z)) | is_a_theorem(Z)),
% 129.10/17.07 inference(resolution,[],['85','81'])).
% 129.10/17.07 cnf('87', plain, (is_a_theorem(strict_implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))),
% 129.10/17.07 inference(resolution,[],['44','27'])).
% 129.10/17.07 cnf('88', plain, (is_a_theorem(implies(implies(equiv(X,X),Y),implies(Z,Y)))),
% 129.10/17.07 inference(resolution,[],['86','87'])).
% 129.10/17.07 cnf('89', plain, (is_a_theorem(implies(implies(equiv(X,X),Y),Y))),
% 129.10/17.07 inference(resolution,[],['88','55'])).
% 129.10/17.07 cnf('90', plain, (~is_a_theorem(implies(X,necessarily(Y))) | is_a_theorem(implies(X,Y))),
% 129.10/17.07 inference(resolution,[],['46','21'])).
% 129.10/17.07 cnf('91', plain, (is_a_theorem(implies(implies(equiv(X,X),necessarily(Y)),Y))),
% 129.10/17.07 inference(resolution,[],['89','90'])).
% 129.10/17.07 cnf('92', plain, (is_a_theorem(and(X,X)) | ~is_a_theorem(X)),
% 129.10/17.07 inference(factorization,[],['14'])).
% 129.10/17.07 cnf('93', plain, (is_a_theorem(equiv(X3,X3))),
% 129.10/17.07 inference(paramodulation,[then_simplify],['6','92','61'])).
% 129.10/17.07 cnf('94', plain, (is_a_theorem(implies(not(not(necessarily(Y3))),Y3))),
% 129.10/17.07 inference(paramodulation,[then_simplify],['41','91','93'])).
% 129.10/17.07 cnf('95', plain, (~$pr(op_or) | or(X0,X1) = not(and(not(X0),not(X1)))),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_op_or_$sk'])).
% 129.10/17.07 cnf('96', plain, ($pr(op_or)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_hilbert_op_or'])).
% 129.10/17.07 cnf('97', plain, (or(X,Y) = implies(not(X),Y)),
% 129.10/17.07 inference(simplify,[then_simplify],['95','96','40'])).
% 129.10/17.07 cnf('98', plain, (is_a_theorem(or(not(necessarily(X)),X))),
% 129.10/17.07 inference(simplify,[],['94','97'])).
% 129.10/17.07 cnf('99', plain, (is_a_theorem(or(possibly(X),not(X)))),
% 129.10/17.07 inference(paramodulation,[],['3','98'])).
% 129.10/17.07 cnf('100', plain, (~$pr(modus_tollens) | is_a_theorem(implies(implies(not(X0),not(X1)),implies(X1,X0)))),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_modus_tollens_$sk'])).
% 129.10/17.07 cnf('101', plain, ($pr(modus_tollens)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_hilbert_modus_tollens'])).
% 129.10/17.07 cnf('102', plain, (is_a_theorem(implies(or(X,not(Y)),implies(Y,X)))),
% 129.10/17.07 inference(simplify,[then_simplify],['100','101','97'])).
% 129.10/17.07 cnf('103', plain, (is_a_theorem(strict_implies(or(X,not(Y)),implies(Y,X)))),
% 129.10/17.07 inference(resolution,[],['102','27'])).
% 129.10/17.07 cnf('104', plain, (~is_a_theorem(necessarily(or(X3,not(Y3)))) | is_a_theorem(necessarily(implies(Y3,X3)))),
% 129.10/17.07 inference(resolution,[],['67','103'])).
% 129.10/17.07 cnf('105', plain, (~is_a_theorem(necessarily(or(X,not(Y)))) | is_a_theorem(strict_implies(Y,X))),
% 129.10/17.07 inference(simplify,[],['104','18'])).
% 129.10/17.07 cnf('106', plain, (~is_a_theorem(or(X,not(Y))) | is_a_theorem(strict_implies(Y,X))),
% 129.10/17.07 inference(resolution,[],['105','26'])).
% 129.10/17.07 cnf('107', plain, (is_a_theorem(strict_implies(X,possibly(X)))),
% 129.10/17.07 inference(resolution,[],['99','106'])).
% 129.10/17.07 cnf('108', plain, (~is_a_theorem(strict_implies($sk7,possibly($sk7))) | $pr(axiom_m6)),
% 129.10/17.07 inference(cnf_transformation,[],['$inc_axiom_m6_$sk'])).
% 129.10/17.07 cnf('109', plain, (~$pr(axiom_m6)),
% 129.10/17.07 inference(cnf_transformation,[],['s1_0_m6s3m9b_axiom_m6_$sk'])).
% 129.10/17.07 cnf('110', plain, (~is_a_theorem(strict_implies($sk7,possibly($sk7)))),
% 129.10/17.07 inference(simplify,[],['108','109'])).
% 129.10/17.07 cnf('111', plain, ($false),
% 129.10/17.07 inference(resolution,[],['107','110'])).
% 129.10/17.07
% 129.10/17.07 % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 129.10/17.07
% 129.10/17.07 run 260 fork 3 statistics:
% 129.10/17.07 ----------------------------------
% 129.10/17.07 this run seconds: 0.281130
% 129.10/17.07 total seconds: 15.734432
% 129.10/17.07 stat_given_used: 1880
% 129.10/17.07 stat_given_used_at_endgame: 0
% 129.10/17.07 stat_given_candidates: 9139
% 129.10/17.07 stat_given_candidates_at_endgame: 0
% 129.10/17.07 stat_given_candidates_h: 0
% 129.10/17.07 stat_binres_derived_cl: 16436
% 129.10/17.07 stat_binres_derived_cl_h: 0
% 129.10/17.07 stat_factor_derived_cl: 43
% 129.10/17.07 stat_para_derived_cl: 11173
% 129.10/17.07 stat_tautologies_discarded: 306
% 129.10/17.07 stat_forward_subsumed: 5384
% 129.10/17.07 stat_derived_cut: 774
% 129.10/17.07 stat_derived_rewritten: 396
% 129.10/17.07 stat_weight_discarded_building: 0
% 129.10/17.07 stat_weight_discarded_cl: 0
% 129.10/17.07 stat_internlimit_discarded_cl: 0
% 129.10/17.07 stat_simplified: 524 simplified 0 derived 0 given
% 129.10/17.07 stat_kept_cl: 21824
% 129.10/17.07 stat_built_cl: 26108
% 129.10/17.07 stat_hyperres_partial_cl: 0
% 129.10/17.07 stat_made_rewriters: 15
% 129.10/17.07 stat_backward_subsumed: 0
% 129.10/17.07 stat_propagated_subsumed: 0
% 129.10/17.07 stat_clsubs_attempted: 67740
% 129.10/17.07 stat_clsubs_fact_groundunit_found: 10
% 129.10/17.07 stat_clsubs_rule_groundunit_found: 37
% 129.10/17.07 stat_clsubs_top_meta_attempted: 5772226
% 129.10/17.07 stat_clsubs_top_meta_failed: 5704486
% 129.10/17.07 stat_clsubs_top_meta_nonpref_attempted: 5772226
% 129.10/17.07 stat_clsubs_top_meta_nonpref_succeeded: 868445
% 129.10/17.07 stat_clsubs_top_meta_pref_attempted: 868445
% 129.10/17.07 stat_clsubs_top_meta_pref1_succeeded: 734704
% 129.10/17.07 stat_clsubs_top_meta_pref2_succeeded: 119968
% 129.10/17.07 stat_clsubs_top_meta_pref3_succeeded: 67740
% 129.10/17.07 stat_clsubs_top_meta_pref_succeeded: 67740
% 129.10/17.07 stat_clsubs_meta_attempted: 113260
% 129.10/17.07 stat_clsubs_meta_failed: 48736
% 129.10/17.07 stat_clsubs_predsymbs_attempted: 0
% 129.10/17.07 stat_clsubs_unit_attempted: 27541
% 129.10/17.07 stat_clsubs_full_attempted: 40199
% 129.10/17.07 stat_forwardsubs_attempted: 27208
% 129.10/17.07 stat_lit_hash_added: 21988
% 129.10/17.07 stat_lit_hash_computed: 157241
% 129.10/17.07 stat_lit_hash_match_found: 7230
% 129.10/17.07 stat_lit_hash_match_miss: 177929
% 129.10/17.07 stat_lit_hash_cut_ok: 1199
% 129.10/17.07 stat_lit_strong_cut_ok: 0
% 129.10/17.07 stat_lit_hash_subsume_ok: 5384
% 129.10/17.07 clqueue els 10000000 used 1
% 129.10/17.07 clactive els 10000000 used 1881
% 129.10/17.07 clactivesubsume els 10000000 used 10999
% 129.10/17.07 queue_termbuf els 200000000 used 1596610
% 129.10/17.07 hyper_termbuf els 100000000 used 1
% 129.10/17.07 active_termbuf els 100000000 used 77476
% 129.10/17.07 varstack els 5000 last used 1
% 129.10/17.07 given_termbuf els 10000000 last used 1
% 129.10/17.07 simplified_termbuf els 10000000 last used 1
% 129.10/17.07 derived_termbuf els 10000000 last used 34
% 129.10/17.07 wr_mallocs: 15868
% 129.10/17.07 wr_callocs: 19
% 129.10/17.07 wr_reallocs: 3797
% 129.10/17.07 wr_frees: 4
% 129.10/17.07 wr_malloc_bytes: 4163204180
% 129.10/17.07 wr_calloc_bytes: 96065504
% 129.10/17.07 wr_realloc_bytes: 1276208
% 129.10/17.07 wr_realloc_freebytes: 0
% 129.10/17.07 ----------------------------------
%------------------------------------------------------------------------------