TSTP Solution File: LCL451+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : LCL451+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n011.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 07:39:18 EDT 2023

% Result   : Theorem 0.19s 0.42s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL451+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.12  % Command  : gkc %s
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.33  % CPULimit : 300
% 0.18/0.33  % WCLimit  : 300
% 0.18/0.33  % DateTime : Thu Aug 24 20:57:23 EDT 2023
% 0.18/0.34  % CPUTime  : 
% 0.18/0.38  
% 0.18/0.38  input clause set summed statistics:
% 0.18/0.38  ----------------------------------
% 0.18/0.38  in_clause_count:                    82
% 0.18/0.38  in_rule_clause_count:               82
% 0.18/0.38  in_fact_clause_count:                0
% 0.18/0.38  in_answer_clause_count:              0
% 0.18/0.38  in_ground_clause_count:             51
% 0.18/0.38  in_unit_clause_count:               22
% 0.18/0.38  in_horn_clause_count:               79
% 0.18/0.38  in_pos_clause_count:                24
% 0.18/0.38  in_neg_clause_count:                 1
% 0.18/0.38  in_poseq_clause_count:               6
% 0.18/0.38  in_negeq_clause_count:               1
% 0.18/0.38  in_unitposeq_clause_count:           0
% 0.18/0.38  in_chain_clause_count:               0
% 0.18/0.38  in_min_length:             1
% 0.18/0.38  in_max_length:             4
% 0.18/0.38  in_min_depth:              1
% 0.18/0.38  in_max_depth:              5
% 0.18/0.38  in_min_size:               2
% 0.18/0.38  in_max_size:              16
% 0.18/0.38  in_min_vars:               0
% 0.18/0.38  in_max_vars:               3
% 0.18/0.38  in_extaxiom_count:                78
% 0.18/0.38  in_axiom_count:                    3
% 0.18/0.38  in_assumption_count:               0
% 0.18/0.38  in_goal_count:                     1
% 0.18/0.38  in_neg_goal_count:                 1
% 0.18/0.38  in_pos_goal_count:                 0
% 0.18/0.38  in_posunit_goal_count:             0
% 0.18/0.38  
% 0.18/0.38  auto guide:
% 0.18/0.38  -----------
% 0.18/0.38  {
% 0.18/0.38  "print":1,
% 0.18/0.38  "print_level": 15,
% 0.18/0.38  "max_size": 0,
% 0.18/0.38  "max_depth": 0,
% 0.18/0.38  "max_length": 0,
% 0.18/0.38  "max_dseconds": 0,
% 0.18/0.38  "runs":[
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.18/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.18/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.18/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.18/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.18/0.38  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.18/0.38  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.18/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.18/0.38  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.18/0.38  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.18/0.38  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.18/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.18/0.38  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.18/0.38  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.18/0.38  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.18/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.18/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.18/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.18/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.18/0.38  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.18/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":1},
% 0.18/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.18/0.38  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.18/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.18/0.38  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.18/0.38  {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.18/0.38  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.18/0.38  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.18/0.38  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.18/0.38  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.18/0.38  
% 0.18/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.38  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.18/0.38  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
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% 0.18/0.38  {"max_dseconds":50, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.18/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.18/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.18/0.38  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.18/0.38  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.18/0.38  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.18/0.38  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":50},
% 0.18/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.18/0.38  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.18/0.38  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.18/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.18/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.18/0.38  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.18/0.38  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.18/0.38  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.18/0.38  {"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":50},
% 0.18/0.38  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.18/0.38  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.18/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.18/0.38  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.18/0.38  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.18/0.38  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.18/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.18/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.18/0.38  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.18/0.38  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.18/0.38  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.18/0.38  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.18/0.38  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.18/0.38  {"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},
% 0.18/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.18/0.38  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.18/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.18/0.38  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.18/0.38  {"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":50},
% 0.18/0.38  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.18/0.38  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.18/0.38  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.18/0.38  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.18/0.38  
% 0.18/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.18/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.38  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.18/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.18/0.38  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.18/0.38  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.18/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.18/0.38  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.18/0.38  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.18/0.38  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.18/0.38  
% 0.18/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.18/0.38  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.18/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.18/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.18/0.38  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.18/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.18/0.38  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.18/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.18/0.38  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.18/0.38  {"max_dseconds":1250, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.18/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.18/0.38  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1250},
% 0.18/0.38  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.18/0.38  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "sine":1} 
% 0.18/0.38  
% 0.18/0.38  ]}
% 0.18/0.38  
% 0.18/0.38  
% 0.18/0.38  **** run 1 fork 0 starts with strategy
% 0.18/0.38  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 0.18/0.38  
% 0.18/0.38  **** run 2 fork 1 starts with strategy
% 0.18/0.38  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.18/0.38  
% 0.18/0.38  **** run 3 fork 2 starts with strategy
% 0.18/0.38  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.18/0.38  
% 0.18/0.38  **** run 4 fork 3 starts with strategy
% 0.18/0.38  
% 0.18/0.38  **** run 7 fork 6 starts with strategy
% 0.18/0.38  
% 0.18/0.38  **** run 5 fork 4 starts with strategy
% 0.18/0.38  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.18/0.38  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.18/0.38  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":1}
% 0.18/0.39  
% 0.18/0.39  **** run 6 fork 5 starts with strategy
% 0.18/0.39  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 8 fork 7 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.42  
% 0.19/0.42  fork 3: search finished without proof.
% 0.19/0.42  
% 0.19/0.42  
% 0.19/0.42  result: proof found
% 0.19/0.42  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.42  by run 2 fork 1 strategy {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.19/0.42  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.42  
% 0.19/0.42  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.42  fof('luka_cn1_$sk', plain, ~cn1,
% 0.19/0.42    inference(negpush_and_skolemize,[],['luka_cn1'])).
% 0.19/0.42  fof('luka_cn1', conjecture, cn1,
% 0.19/0.42    input). 
% 0.19/0.42  fof('$inc_cn1_$sk', plain, ((~cn1 | is_a_theorem(implies(implies(X3,X2),implies(implies(X2,X1),implies(X3,X1))))) & (cn1 | ~is_a_theorem(implies(implies($sk17,$sk16),implies(implies($sk16,$sk15),implies($sk17,$sk15)))))),
% 0.19/0.42    inference(negpush_and_skolemize,[],['$inc_cn1'])).
% 0.19/0.42  fof('$inc_cn1', axiom, (cn1 <=> (! [P,Q,R] : is_a_theorem(implies(implies(P,Q),implies(implies(Q,R),implies(P,R)))))),
% 0.19/0.42    input). 
% 0.19/0.42  fof('$inc_implies_3_$sk', plain, ((~implies_3 | is_a_theorem(implies(implies(X3,X2),implies(implies(X2,X1),implies(X3,X1))))) & (implies_3 | ~is_a_theorem(implies(implies($sk45,$sk44),implies(implies($sk44,$sk43),implies($sk45,$sk43)))))),
% 0.19/0.42    inference(negpush_and_skolemize,[],['$inc_implies_3'])).
% 0.19/0.42  fof('$inc_implies_3', axiom, (implies_3 <=> (! [X,Y,Z] : is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z)))))),
% 0.19/0.42    input). 
% 0.19/0.42  fof('$inc_hilbert_implies_3', axiom, implies_3,
% 0.19/0.42    input). 
% 0.19/0.42  cnf('1', plain, (~$pr(cn1)),
% 0.19/0.42    inference(cnf_transformation,[],['luka_cn1_$sk'])).
% 0.19/0.42  cnf('2', plain, (~is_a_theorem(implies(implies($sk17,$sk16),implies(implies($sk16,$sk15),implies($sk17,$sk15)))) | $pr(cn1)),
% 0.19/0.42    inference(cnf_transformation,[],['$inc_cn1_$sk'])).
% 0.19/0.42  cnf('3', plain, (~is_a_theorem(implies(implies($sk17,$sk16),implies(implies($sk16,$sk15),implies($sk17,$sk15))))),
% 0.19/0.42    inference(resolution,[],['1','2'])).
% 0.19/0.42  cnf('4', plain, (~$pr(implies_3) | is_a_theorem(implies(implies(X,Y),implies(implies(Y,Z),implies(X,Z))))),
% 0.19/0.42    inference(cnf_transformation,[],['$inc_implies_3_$sk'])).
% 0.19/0.42  cnf('5', plain, ($pr(implies_3)),
% 0.19/0.42    inference(cnf_transformation,[],['$inc_hilbert_implies_3'])).
% 0.19/0.42  cnf('6', plain, ($false),
% 0.19/0.42    inference(resolution,[then_simplify],['3','4','5'])).
% 0.19/0.42  
% 0.19/0.42  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.42  
% 0.19/0.42  run 2 fork 1 statistics:
% 0.19/0.42  ----------------------------------
% 0.19/0.42  this run seconds: 0.001531
% 0.19/0.42  total seconds: 0.039299
% 0.19/0.42  stat_given_used: 2
% 0.19/0.42  stat_given_used_at_endgame: 0
% 0.19/0.42  stat_given_candidates:   2
% 0.19/0.42  stat_given_candidates_at_endgame: 0
% 0.19/0.42  stat_given_candidates_h: 0
% 0.19/0.42  stat_binres_derived_cl:   3
% 0.19/0.42  stat_binres_derived_cl_h: 0
% 0.19/0.42  stat_factor_derived_cl: 0
% 0.19/0.42  stat_para_derived_cl: 0
% 0.19/0.42  stat_tautologies_discarded: 0
% 0.19/0.42  stat_forward_subsumed: 0
% 0.19/0.42  stat_derived_cut: 2
% 0.19/0.42  stat_derived_rewritten: 0
% 0.19/0.42  stat_weight_discarded_building: 0
% 0.19/0.42  stat_weight_discarded_cl: 0
% 0.19/0.42  stat_internlimit_discarded_cl: 0
% 0.19/0.42  stat_simplified:  0 simplified 0 derived 0 given
% 0.19/0.42  stat_kept_cl: 2
% 0.19/0.42  stat_built_cl: 168
% 0.19/0.42  stat_hyperres_partial_cl: 0
% 0.19/0.42  stat_made_rewriters: 0
% 0.19/0.42  stat_backward_subsumed: 0
% 0.19/0.42  stat_propagated_subsumed: 0
% 0.19/0.42  stat_clsubs_attempted:                         0
% 0.19/0.42  stat_clsubs_fact_groundunit_found:             0
% 0.19/0.42  stat_clsubs_rule_groundunit_found:             0
% 0.19/0.42  stat_clsubs_top_meta_attempted:                120
% 0.19/0.42  stat_clsubs_top_meta_failed:                   120
% 0.19/0.42  stat_clsubs_top_meta_nonpref_attempted:                 120
% 0.19/0.42  stat_clsubs_top_meta_nonpref_succeeded:                   0
% 0.19/0.42  stat_clsubs_top_meta_pref_attempted:                      0
% 0.19/0.42  stat_clsubs_top_meta_pref1_succeeded:                     0
% 0.19/0.42  stat_clsubs_top_meta_pref2_succeeded:                     0
% 0.19/0.42  stat_clsubs_top_meta_pref3_succeeded:                     0
% 0.19/0.42  stat_clsubs_top_meta_pref_succeeded:                      0
% 0.19/0.42  stat_clsubs_meta_attempted:                    0
% 0.19/0.42  stat_clsubs_meta_failed:                       0
% 0.19/0.42  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.42  stat_clsubs_unit_attempted:                    0
% 0.19/0.42  stat_clsubs_full_attempted:                    0
% 0.19/0.42  stat_forwardsubs_attempted:                    3
% 0.19/0.42  stat_lit_hash_added:                    164
% 0.19/0.42  stat_lit_hash_computed:                 175
% 0.19/0.42  stat_lit_hash_match_found:                2
% 0.19/0.42  stat_lit_hash_match_miss:                14
% 0.19/0.42  stat_lit_hash_cut_ok:                     2
% 0.19/0.42  stat_lit_strong_cut_ok:                   0
% 0.19/0.42  stat_lit_hash_subsume_ok:                 0
% 0.19/0.42  clqueue els 10000000 used 1
% 0.19/0.42  clactive els 10000000 used 84
% 0.19/0.42  clactivesubsume els 10000000 used 361
% 0.19/0.42  queue_termbuf els 200000000 used 145
% 0.19/0.42  hyper_termbuf els 100000000 used 1
% 0.19/0.42  active_termbuf els 100000000 used 2859
% 0.19/0.42  varstack els 5000 last used 1
% 0.19/0.42  given_termbuf els 10000000 last used 1
% 0.19/0.42  simplified_termbuf els 10000000 last used 1
% 0.19/0.42  derived_termbuf els 10000000 last used 21
% 0.19/0.42  wr_mallocs: 1201
% 0.19/0.42  wr_callocs: 21
% 0.19/0.42  wr_reallocs: 14
% 0.19/0.42  wr_frees: 2
% 0.19/0.42  wr_malloc_bytes: 4162618164
% 0.19/0.42  wr_calloc_bytes: 112065536
% 0.19/0.42  wr_realloc_bytes: 5648
% 0.19/0.42  wr_realloc_freebytes: 0
% 0.19/0.42  ----------------------------------
%------------------------------------------------------------------------------