TSTP Solution File: SET773+4 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SET773+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n005.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 15:04:03 EDT 2023

% Result   : Theorem 8.41s 1.55s
% Output   : CNFRefutation 8.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SET773+4 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n005.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Sat Aug 26 13:00:23 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.40  
% 0.19/0.40  input clause set summed statistics:
% 0.19/0.40  ----------------------------------
% 0.19/0.40  in_clause_count:                   139
% 0.19/0.40  in_rule_clause_count:              137
% 0.19/0.40  in_fact_clause_count:                2
% 0.19/0.40  in_answer_clause_count:              0
% 0.19/0.40  in_ground_clause_count:              3
% 0.19/0.40  in_unit_clause_count:                4
% 0.19/0.40  in_horn_clause_count:               94
% 0.19/0.40  in_pos_clause_count:                22
% 0.19/0.40  in_neg_clause_count:                27
% 0.19/0.40  in_poseq_clause_count:               4
% 0.19/0.40  in_negeq_clause_count:               4
% 0.19/0.40  in_unitposeq_clause_count:           0
% 0.19/0.40  in_chain_clause_count:               0
% 0.19/0.40  in_min_length:             1
% 0.19/0.40  in_max_length:             9
% 0.19/0.40  in_min_depth:              1
% 0.19/0.40  in_max_depth:              2
% 0.19/0.40  in_min_size:               3
% 0.19/0.40  in_max_size:              42
% 0.19/0.40  in_min_vars:               0
% 0.19/0.40  in_max_vars:               5
% 0.19/0.40  in_extaxiom_count:               133
% 0.19/0.40  in_axiom_count:                    0
% 0.19/0.40  in_assumption_count:               0
% 0.19/0.40  in_goal_count:                     6
% 0.19/0.40  in_neg_goal_count:                 1
% 0.19/0.40  in_pos_goal_count:                 2
% 0.19/0.40  in_posunit_goal_count:             2
% 0.19/0.40  
% 0.19/0.40  auto guide:
% 0.19/0.40  -----------
% 0.19/0.40  {
% 0.19/0.40  "print":1,
% 0.19/0.40  "print_level": 15,
% 0.19/0.40  "max_size": 0,
% 0.19/0.40  "max_depth": 0,
% 0.19/0.40  "max_length": 0,
% 0.19/0.40  "max_dseconds": 0,
% 0.19/0.40  "runs":[
% 0.19/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.19/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.40  {"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},
% 0.19/0.40  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.40  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara","prohibit_unordered_para"], "max_dseconds":1},
% 0.19/0.40  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50,  "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.40  {"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},
% 0.19/0.40  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.40  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.19/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.19/0.40  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":1},
% 0.19/0.40  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.40  {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.40  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.19/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.19/0.40  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.40  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.40  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.40  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.19/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.19/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.19/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.19/0.40  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.40  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.19/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.40  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.40  {"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},
% 0.19/0.40  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.19/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.40  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.40  {"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},
% 0.19/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.19/0.40  
% 0.19/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":10, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
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% 0.19/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50,  "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.40  {"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},
% 0.19/0.40  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.40  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.19/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.19/0.40  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":50},
% 0.19/0.40  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.40  {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.40  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.19/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.19/0.40  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.40  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.19/0.40  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.40  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.40  {"max_dseconds":50, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.19/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":50},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.19/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.19/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.19/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.19/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.19/0.40  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.19/0.40  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.19/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.40  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.19/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.40  {"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},
% 0.19/0.40  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.19/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.40  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.40  {"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},
% 0.19/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.19/0.40  
% 0.19/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.19/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.19/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.19/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.19/0.40  {"max_dseconds":250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.19/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.19/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.19/0.40  
% 0.19/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.19/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "max_depth":2} 
% 0.19/0.40  
% 0.19/0.40  ]}
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  **** run 1 fork 0 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 2 fork 1 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 3 fork 2 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 4 fork 3 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 5 fork 4 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 6 fork 5 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.42  
% 0.19/0.42  **** run 7 fork 6 starts with strategy
% 0.19/0.42  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.43  
% 0.19/0.43  **** run 8 fork 7 starts with strategy
% 0.19/0.43  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.49  
% 0.19/0.49  fork 3: search finished without proof.
% 0.19/0.51  
% 0.19/0.51  fork 1: search finished without proof.
% 0.19/0.51  
% 0.19/0.51  **** run 12 fork 3 starts with strategy
% 0.19/0.51  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.53  
% 0.19/0.53  **** run 10 fork 1 starts with strategy
% 0.19/0.53  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.19/0.54  
% 0.19/0.54  
% 0.19/0.54  fork 4: search terminated without proof.
% 0.19/0.54  
% 0.19/0.54  
% 0.19/0.54  fork 5: search terminated without proof.
% 0.19/0.55  
% 0.19/0.55  fork 2: search finished without proof.
% 0.19/0.55  
% 0.19/0.55  
% 0.19/0.55  fork 0: search terminated without proof.
% 0.19/0.56  
% 0.19/0.56  **** run 13 fork 4 starts with strategy
% 0.19/0.56  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.19/0.56  
% 0.19/0.56  **** run 14 fork 5 starts with strategy
% 0.19/0.56  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.57  
% 0.19/0.57  **** run 9 fork 0 starts with strategy
% 0.19/0.57  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.19/0.59  
% 0.19/0.59  **** run 11 fork 2 starts with strategy
% 0.19/0.59  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.60  
% 0.19/0.60  
% 0.19/0.60  fork 6: search terminated without proof.
% 0.19/0.63  
% 0.19/0.63  **** run 15 fork 6 starts with strategy
% 0.19/0.63  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.19/0.64  
% 0.19/0.64  
% 0.19/0.64  fork 3: search terminated without proof.
% 0.19/0.64  
% 0.19/0.64  
% 0.19/0.64  fork 7: search terminated without proof.
% 0.19/0.65  
% 0.19/0.65  
% 0.19/0.65  fork 1: search terminated without proof.
% 0.19/0.66  
% 0.19/0.66  **** run 20 fork 3 starts with strategy
% 0.19/0.66  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.19/0.67  
% 0.19/0.67  **** run 16 fork 7 starts with strategy
% 0.19/0.67  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"depth_penalty":100}
% 0.19/0.67  
% 0.19/0.67  **** run 18 fork 1 starts with strategy
% 0.19/0.67  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":3}
% 0.19/0.68  
% 0.19/0.68  
% 0.19/0.68  fork 4: search terminated without proof.
% 0.19/0.69  
% 0.19/0.69  
% 0.19/0.69  fork 5: search terminated without proof.
% 0.19/0.70  
% 0.19/0.70  **** run 21 fork 4 starts with strategy
% 0.19/0.70  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.19/0.71  
% 0.19/0.71  **** run 22 fork 5 starts with strategy
% 0.19/0.71  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.19/0.71  
% 0.19/0.71  
% 0.19/0.71  fork 0: search terminated without proof.
% 0.19/0.73  
% 0.19/0.73  **** run 17 fork 0 starts with strategy
% 0.19/0.73  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 2.56/0.76  
% 2.56/0.76  
% 2.56/0.76  fork 6: search terminated without proof.
% 2.56/0.78  
% 2.56/0.78  **** run 23 fork 6 starts with strategy
% 2.56/0.78  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 2.56/0.78  
% 2.56/0.78  
% 2.56/0.78  fork 2: search terminated without proof.
% 2.56/0.79  
% 2.56/0.79  fork 4: search finished without proof.
% 2.56/0.79  
% 2.56/0.79  
% 2.56/0.79  fork 3: search terminated without proof.
% 2.89/0.80  
% 2.89/0.80  **** run 19 fork 2 starts with strategy
% 2.89/0.80  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"reverse_clauselist":1}
% 2.89/0.80  
% 2.89/0.80  
% 2.89/0.80  fork 7: search terminated without proof.
% 2.89/0.81  
% 2.89/0.81  **** run 29 fork 4 starts with strategy
% 2.89/0.81  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"weight_select_ratio":20,"depth_penalty":50,"length_penalty":100}
% 2.89/0.82  
% 2.89/0.82  **** run 28 fork 3 starts with strategy
% 2.89/0.82  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"depth_penalty":100}
% 2.89/0.82  
% 2.89/0.82  **** run 24 fork 7 starts with strategy
% 2.89/0.82  {"max_dseconds":1,"strategy":["unit"],"query_preference":0}
% 2.89/0.83  
% 2.89/0.83  
% 2.89/0.83  fork 1: search terminated without proof.
% 3.25/0.85  
% 3.25/0.85  **** run 26 fork 1 starts with strategy
% 3.25/0.85  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"sine":2}
% 3.25/0.87  
% 3.25/0.87  
% 3.25/0.87  fork 0: search terminated without proof.
% 3.25/0.87  
% 3.25/0.87  
% 3.25/0.87  fork 5: search terminated without proof.
% 3.25/0.89  
% 3.25/0.89  **** run 30 fork 5 starts with strategy
% 3.25/0.89  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"rewrite":0}
% 3.25/0.89  
% 3.25/0.89  **** run 25 fork 0 starts with strategy
% 3.25/0.89  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":0}
% 3.25/0.90  
% 3.25/0.90  fork 6: search finished without proof.
% 3.25/0.91  
% 3.25/0.91  **** run 31 fork 6 starts with strategy
% 3.25/0.91  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_deep_para"],"query_preference":0,"rewrite":0}
% 3.25/0.93  
% 3.25/0.93  
% 3.25/0.93  fork 2: search terminated without proof.
% 3.25/0.93  
% 3.25/0.93  
% 3.25/0.93  fork 4: search terminated without proof.
% 4.05/0.94  
% 4.05/0.94  
% 4.05/0.94  fork 7: search terminated without proof.
% 4.05/0.94  
% 4.05/0.94  
% 4.05/0.94  fork 3: search terminated without proof.
% 4.05/0.95  
% 4.05/0.95  **** run 27 fork 2 starts with strategy
% 4.05/0.95  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"sine":1}
% 4.05/0.95  
% 4.05/0.95  **** run 37 fork 4 starts with strategy
% 4.05/0.95  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":1}
% 4.05/0.96  
% 4.05/0.96  **** run 32 fork 7 starts with strategy
% 4.05/0.96  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 4.05/0.96  
% 4.05/0.96  **** run 36 fork 3 starts with strategy
% 4.05/0.96  {"max_dseconds":1,"strategy":["negative_pref","posunitpara"],"query_preference":1,"max_depth":2,"depth_penalty":50,"length_penalty":100}
% 4.05/0.98  
% 4.05/0.98  
% 4.05/0.98  fork 1: search terminated without proof.
% 4.05/0.99  
% 4.05/0.99  fork 2: search finished without proof.
% 4.05/0.99  
% 4.05/0.99  fork 4: search finished without proof.
% 4.05/0.99  
% 4.05/0.99  **** run 34 fork 1 starts with strategy
% 4.05/0.99  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0,"max_depth":3}
% 4.47/1.00  
% 4.47/1.00  **** run 35 fork 2 starts with strategy
% 4.47/1.00  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1,"var_weight":1,"weight_select_ratio":30,"depth_penalty":100}
% 4.47/1.01  
% 4.47/1.01  **** run 45 fork 4 starts with strategy
% 4.47/1.01  {"max_dseconds":1,"strategy":["unit"],"query_preference":0,"max_depth":6,"var_weight":1}
% 4.47/1.01  
% 4.47/1.01  
% 4.47/1.01  fork 5: search terminated without proof.
% 4.47/1.02  
% 4.47/1.02  
% 4.47/1.02  fork 0: search terminated without proof.
% 4.47/1.03  
% 4.47/1.03  **** run 38 fork 5 starts with strategy
% 4.47/1.03  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"sine":2}
% 4.47/1.04  
% 4.47/1.04  
% 4.47/1.04  fork 6: search terminated without proof.
% 4.47/1.05  
% 4.47/1.05  **** run 33 fork 0 starts with strategy
% 4.47/1.05  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"length_penalty":100}
% 4.91/1.06  
% 4.91/1.06  **** run 39 fork 6 starts with strategy
% 4.91/1.06  {"sine":1,"var_weight":70,"repeat_var_weight":70,"query_preference":2,"strategy":["unit"],"max_dseconds":1}
% 4.91/1.07  
% 4.91/1.07  fork 5: search finished without proof.
% 4.91/1.08  
% 4.91/1.08  fork 3: search finished without proof.
% 4.91/1.08  
% 4.91/1.08  **** run 46 fork 5 starts with strategy
% 4.91/1.08  {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 4.91/1.09  
% 4.91/1.09  
% 4.91/1.09  fork 7: search terminated without proof.
% 4.91/1.10  
% 4.91/1.10  fork 6: search finished without proof.
% 5.30/1.10  
% 5.30/1.10  **** run 44 fork 3 starts with strategy
% 5.30/1.10  {"max_dseconds":1,"strategy":["unit"],"query_preference":1,"max_depth":2}
% 5.30/1.11  
% 5.30/1.11  **** run 47 fork 6 starts with strategy
% 5.30/1.11  {"var_weight":70,"repeat_var_weight":70,"depth_penalty":50,"sine":3,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 5.30/1.11  
% 5.30/1.11  **** run 40 fork 7 starts with strategy
% 5.30/1.11  {"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}
% 5.30/1.12  
% 5.30/1.12  
% 5.30/1.12  fork 1: search terminated without proof.
% 5.30/1.13  
% 5.30/1.13  
% 5.30/1.13  fork 4: search terminated without proof.
% 5.30/1.14  
% 5.30/1.14  
% 5.30/1.14  fork 2: search terminated without proof.
% 5.64/1.15  
% 5.64/1.15  **** run 42 fork 1 starts with strategy
% 5.64/1.15  {"max_depth":0,"length_penalty":100,"query_preference":2,"strategy":["hardness_pref","posunitpara","prohibit_unordered_para"],"max_dseconds":1}
% 5.64/1.15  
% 5.64/1.15  **** run 53 fork 4 starts with strategy
% 5.64/1.15  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"max_depth":2}
% 5.64/1.15  
% 5.64/1.15  **** run 43 fork 2 starts with strategy
% 5.64/1.15  {"weight_select_ratio":100,"query_preference":1,"strategy":["negative_pref"],"max_dseconds":1}
% 5.64/1.17  
% 5.64/1.17  fork 6: search finished without proof.
% 5.64/1.18  
% 5.64/1.18  
% 5.64/1.18  fork 0: search terminated without proof.
% 5.64/1.19  
% 5.64/1.19  **** run 55 fork 6 starts with strategy
% 5.64/1.19  {"max_dseconds":1,"sine":4,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 5.64/1.19  
% 5.64/1.19  **** run 41 fork 0 starts with strategy
% 5.64/1.19  {"max_depth":0,"length_penalty":100,"query_preference":2,"strategy":["hardness_pref","posunitpara"],"max_dseconds":1}
% 5.64/1.21  
% 5.64/1.21  
% 5.64/1.21  fork 5: search terminated without proof.
% 5.64/1.23  
% 5.64/1.23  **** run 54 fork 5 starts with strategy
% 5.64/1.23  {"max_dseconds":1,"strategy":["hardness_pref","max_ground_weight"],"query_preference":0}
% 5.64/1.23  
% 5.64/1.23  
% 5.64/1.23  fork 3: search terminated without proof.
% 5.64/1.24  
% 5.64/1.24  fork 7: search finished without proof.
% 6.43/1.25  
% 6.43/1.25  **** run 52 fork 3 starts with strategy
% 6.43/1.25  {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":0,"depth_penalty":50,"length_penalty":100}
% 6.43/1.26  
% 6.43/1.26  **** run 48 fork 7 starts with strategy
% 6.43/1.26  {"max_dseconds":1,"strategy":["query_focus","positive_pref"],"query_preference":1}
% 6.43/1.27  
% 6.43/1.27  fork 4: search finished without proof.
% 6.43/1.28  
% 6.43/1.28  fork 6: search finished without proof.
% 6.43/1.28  
% 6.43/1.28  
% 6.43/1.28  fork 1: search terminated without proof.
% 6.43/1.28  
% 6.43/1.28  
% 6.43/1.28  fork 2: search terminated without proof.
% 6.43/1.29  
% 6.43/1.29  **** run 61 fork 4 starts with strategy
% 6.43/1.29  {"depth_penalty":50,"sine":3,"query_preference":1,"strategy":["hardness_pref","hornpref","max_weight"],"max_dseconds":1}
% 6.43/1.29  
% 6.43/1.29  **** run 63 fork 6 starts with strategy
% 6.43/1.29  {"sine":1,"var_weight":70,"repeat_var_weight":70,"rewrite":0,"depth_penalty":50,"query_preference":0,"strategy":["hardness_pref"],"max_dseconds":1}
% 6.43/1.30  
% 6.43/1.30  **** run 50 fork 1 starts with strategy
% 6.43/1.30  {"max_depth":0,"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 6.43/1.30  
% 6.43/1.30  **** run 51 fork 2 starts with strategy
% 6.43/1.30  {"depth_penalty":100,"query_preference":0,"strategy":["unit","posunitpara"],"max_dseconds":1}
% 6.43/1.32  
% 6.43/1.32  
% 6.43/1.32  fork 0: search terminated without proof.
% 6.43/1.34  
% 6.43/1.34  **** run 49 fork 0 starts with strategy
% 6.43/1.34  {"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}
% 7.30/1.37  
% 7.30/1.37  
% 7.30/1.37  fork 5: search terminated without proof.
% 7.30/1.38  
% 7.30/1.38  **** run 62 fork 5 starts with strategy
% 7.30/1.38  {"rewrite":0,"depth_penalty":50,"query_preference":1,"strategy":["query_focus","hornpref"],"max_dseconds":1}
% 7.30/1.39  
% 7.30/1.39  
% 7.30/1.39  fork 7: search terminated without proof.
% 7.30/1.40  
% 7.30/1.40  
% 7.30/1.40  fork 3: search terminated without proof.
% 7.30/1.41  
% 7.30/1.41  **** run 56 fork 7 starts with strategy
% 7.30/1.41  {"max_dseconds":1,"strategy":["negative_pref","max_ground_weight"],"query_preference":1}
% 7.30/1.41  
% 7.30/1.41  fork 4: search finished without proof.
% 7.30/1.41  
% 7.30/1.41  **** run 60 fork 3 starts with strategy
% 7.30/1.41  {"depth_penalty":50,"query_preference":1,"strategy":["hardness_pref","hornpref","max_weight"],"max_dseconds":1}
% 7.78/1.42  
% 7.78/1.42  fork 6: search finished without proof.
% 7.78/1.43  
% 7.78/1.43  **** run 69 fork 4 starts with strategy
% 7.78/1.43  {"max_dseconds":1,"strategy":["query_focus","unit"],"query_preference":1}
% 7.78/1.43  
% 7.78/1.43  
% 7.78/1.43  fork 2: search terminated without proof.
% 7.78/1.43  
% 7.78/1.43  
% 7.78/1.43  fork 1: search terminated without proof.
% 7.78/1.44  
% 7.78/1.44  **** run 71 fork 6 starts with strategy
% 7.78/1.44  {"max_dseconds":1,"strategy":["unit"],"query_preference":1}
% 7.78/1.45  
% 7.78/1.45  **** run 59 fork 2 starts with strategy
% 7.78/1.45  {"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["negative_pref","hornpref","max_weight"],"max_depth":2,"max_dseconds":1}
% 7.78/1.46  
% 7.78/1.46  **** run 58 fork 1 starts with strategy
% 7.78/1.46  {"length_penalty":100,"depth_penalty":100,"query_preference":0,"strategy":["negative_pref","hornpref","max_weight"],"max_dseconds":1}
% 7.78/1.46  
% 7.78/1.46  
% 7.78/1.46  fork 0: search terminated without proof.
% 7.78/1.46  
% 7.78/1.46  fork 4: search finished without proof.
% 7.78/1.48  
% 7.78/1.48  **** run 77 fork 4 starts with strategy
% 7.78/1.48  
% 7.78/1.48  **** run 57 fork 0 starts with strategy
% 7.78/1.48  {"weight_select_ratio":20,"length_penalty":100,"query_preference":1,"strategy":["query_focus"],"max_dseconds":1}
% 7.78/1.48  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"sine":1}
% 8.41/1.52  
% 8.41/1.52  
% 8.41/1.52  fork 5: search terminated without proof.
% 8.41/1.53  
% 8.41/1.53  
% 8.41/1.53  fork 7: search terminated without proof.
% 8.41/1.54  
% 8.41/1.54  **** run 70 fork 5 starts with strategy
% 8.41/1.54  {"max_dseconds":1,"strategy":["hardness_pref","posunitpara"],"query_preference":1}
% 8.41/1.54  
% 8.41/1.54  
% 8.41/1.54  fork 3: search terminated without proof.
% 8.41/1.55  
% 8.41/1.55  
% 8.41/1.55  result: proof found
% 8.41/1.55  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 8.41/1.55  by run 77 fork 4 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"sine":1}
% 8.41/1.55  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 8.41/1.55  
% 8.41/1.55  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 8.41/1.55  fof('$inc_equivalence_$sk', plain, ((~equivalence(X2,X1) | (((apply(X2,X5,X4) | (~apply(X2,X3,X4) | ~apply(X2,X5,X3))) | (~member(X4,X1) | (~member(X3,X1) | ~member(X5,X1)))) & (((apply(X2,X7,X6) | ~apply(X2,X6,X7)) | (~member(X7,X1) | ~member(X6,X1))) & (apply(X2,X8,X8) | ~member(X8,X1))))) & (equivalence(X10,X9) | (((~apply(X10,$sk11(X9,X10),$sk10(X9,X10)) & (apply(X10,$sk9(X9,X10),$sk10(X9,X10)) & apply(X10,$sk11(X9,X10),$sk9(X9,X10)))) & (member($sk10(X9,X10),X9) & (member($sk9(X9,X10),X9) & member($sk11(X9,X10),X9)))) | (((~apply(X10,$sk13(X9,X10),$sk12(X9,X10)) & apply(X10,$sk12(X9,X10),$sk13(X9,X10))) & (member($sk13(X9,X10),X9) & member($sk12(X9,X10),X9))) | (~apply(X10,$sk14(X9,X10),$sk14(X9,X10)) & member($sk14(X9,X10),X9)))))),
% 8.41/1.55    inference(negpush_and_skolemize,[],['$inc_equivalence'])).
% 8.41/1.55  fof('$inc_equivalence', axiom, (! [A,R] : (equivalence(R,A) <=> (((! [X] : (member(X,A) => apply(R,X,X))) & (! [X,Y] : ((member(X,A) & member(Y,A)) => (apply(R,X,Y) => apply(R,Y,X))))) & (! [X,Y,Z] : (((member(X,A) & member(Y,A)) & member(Z,A)) => ((apply(R,X,Y) & apply(R,Y,Z)) => apply(R,X,Z))))))),
% 8.41/1.55    input). 
% 8.41/1.55  fof('thIII09_$sk', plain, (~equivalence($sk4,$sk3) & ((((~apply($sk4,X2,X1) | (apply($sk2,X2,X1) & apply($sk1,X2,X1))) & (apply($sk4,X2,X1) | (~apply($sk2,X2,X1) | ~apply($sk1,X2,X1)))) | (~member(X1,$sk3) | ~member(X2,$sk3))) & (equivalence($sk2,$sk3) & equivalence($sk1,$sk3)))),
% 8.41/1.55    inference(negpush_and_skolemize,[],['thIII09'])).
% 8.41/1.55  fof('thIII09', conjecture, (! [E,R1,R2,R] : (((equivalence(R1,E) & equivalence(R2,E)) & (! [A,B] : ((member(A,E) & member(B,E)) => (apply(R,A,B) <=> (apply(R1,A,B) & apply(R2,A,B)))))) => equivalence(R,E))),
% 8.41/1.55    input). 
% 8.41/1.55  fof('$inc_pre_order_$sk', plain, ((~pre_order(X2,X1) | (((apply(X2,X5,X4) | (~apply(X2,X3,X4) | ~apply(X2,X5,X3))) | (~member(X4,X1) | (~member(X3,X1) | ~member(X5,X1)))) & (apply(X2,X6,X6) | ~member(X6,X1)))) & (pre_order(X8,X7) | (((~apply(X8,$sk7(X7,X8),$sk6(X7,X8)) & (apply(X8,$sk5(X7,X8),$sk6(X7,X8)) & apply(X8,$sk7(X7,X8),$sk5(X7,X8)))) & (member($sk6(X7,X8),X7) & (member($sk5(X7,X8),X7) & member($sk7(X7,X8),X7)))) | (~apply(X8,$sk8(X7,X8),$sk8(X7,X8)) & member($sk8(X7,X8),X7))))),
% 8.41/1.55    inference(negpush_and_skolemize,[],['$inc_pre_order'])).
% 8.41/1.55  fof('$inc_pre_order', axiom, (! [R,E] : (pre_order(R,E) <=> ((! [X] : (member(X,E) => apply(R,X,X))) & (! [X,Y,Z] : (((member(X,E) & member(Y,E)) & member(Z,E)) => ((apply(R,X,Y) & apply(R,Y,Z)) => apply(R,X,Z))))))),
% 8.41/1.55    input). 
% 8.41/1.55  cnf('1', plain, (apply(X,$sk12(Y,X),$sk13(Y,X)) | member($sk14(Y,X),Y) | ~$df2(Y,X)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_equivalence_$sk'])).
% 8.41/1.55  cnf('2', plain, ($df2(X,Y) | $df1(X,Y) | equivalence(Y,X)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_equivalence_$sk'])).
% 8.41/1.55  cnf('3', plain, (apply(X,$sk12(Y,X),$sk13(Y,X)) | member($sk14(Y,X),Y) | $df1(Y,X) | equivalence(X,Y)),
% 8.41/1.55    inference(resolution,[],['1','2'])).
% 8.41/1.55  cnf('4', plain, (~apply($sk4,X,Y) | apply($sk2,X,Y) | ~member(Y,$sk3) | ~member(X,$sk3)),
% 8.41/1.55    inference(cnf_transformation,[],['thIII09_$sk'])).
% 8.41/1.55  cnf('5', plain, (apply($sk2,$sk12(X,$sk4),$sk13(X,$sk4)) | ~member($sk13(X,$sk4),$sk3) | ~member($sk12(X,$sk4),$sk3) | member($sk14(X,$sk4),X) | equivalence($sk4,X) | $df1(X,$sk4)),
% 8.41/1.55    inference(resolution,[],['3','4'])).
% 8.41/1.55  cnf('6', plain, (member($sk13(X,Y),X) | member($sk14(X,Y),X) | ~$df2(X,Y)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_equivalence_$sk'])).
% 8.41/1.55  cnf('7', plain, (member($sk13(X,Y),X) | member($sk14(X,Y),X) | $df1(X,Y) | equivalence(Y,X)),
% 8.41/1.55    inference(resolution,[],['2','6'])).
% 8.41/1.55  cnf('8', plain, (~equivalence($sk4,$sk3)),
% 8.41/1.55    inference(cnf_transformation,[],['thIII09_$sk'])).
% 8.41/1.55  cnf('9', plain, (~member($sk12($sk3,$sk4),$sk3) | apply($sk2,$sk12($sk3,$sk4),$sk13($sk3,$sk4)) | member($sk14($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[then_simplify],['5','7','8'])).
% 8.41/1.55  cnf('10', plain, (member($sk14(X,Y),X) | member($sk12(X,Y),X) | ~$df2(X,Y)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_equivalence_$sk'])).
% 8.41/1.55  cnf('11', plain, (member($sk14(X,Y),X) | member($sk12(X,Y),X) | $df1(X,Y) | equivalence(Y,X)),
% 8.41/1.55    inference(resolution,[],['2','10'])).
% 8.41/1.55  cnf('12', plain, (apply(X,Y,Y) | ~equivalence(X,Z) | ~member(Y,Z)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_equivalence_$sk'])).
% 8.41/1.55  cnf('13', plain, (equivalence($sk1,$sk3)),
% 8.41/1.55    inference(cnf_transformation,[],['thIII09_$sk'])).
% 8.41/1.55  cnf('14', plain, (apply($sk1,X,X) | ~member(X,$sk3)),
% 8.41/1.55    inference(resolution,[],['12','13'])).
% 8.41/1.55  cnf('15', plain, (apply($sk1,$sk14($sk3,X),$sk14($sk3,X)) | member($sk12($sk3,X),$sk3) | $df1($sk3,X) | equivalence(X,$sk3)),
% 8.41/1.55    inference(resolution,[],['11','14'])).
% 8.41/1.55  cnf('16', plain, (~apply($sk2,X,Y) | ~apply($sk1,X,Y) | apply($sk4,X,Y) | ~member(Y,$sk3) | ~member(X,$sk3)),
% 8.41/1.55    inference(cnf_transformation,[],['thIII09_$sk'])).
% 8.41/1.55  cnf('17', plain, (~apply($sk2,X3,X3) | ~apply($sk1,X3,X3) | apply($sk4,X3,X3) | ~member(X3,$sk3)),
% 8.41/1.55    inference(factorization,[],['16'])).
% 8.41/1.55  cnf('18', plain, (equivalence($sk2,$sk3)),
% 8.41/1.55    inference(cnf_transformation,[],['thIII09_$sk'])).
% 8.41/1.55  cnf('19', plain, (apply($sk2,X3,X3) | ~member(X3,$sk3)),
% 8.41/1.55    inference(resolution,[],['12','18'])).
% 8.41/1.55  cnf('20', plain, (~apply($sk1,X,X) | apply($sk4,X,X) | ~member(X,$sk3)),
% 8.41/1.55    inference(simplify,[],['17','19'])).
% 8.41/1.55  cnf('21', plain, (apply($sk4,$sk14($sk3,X),$sk14($sk3,X)) | ~member($sk14($sk3,X),$sk3) | member($sk12($sk3,X),$sk3) | $df1($sk3,X) | equivalence(X,$sk3)),
% 8.41/1.55    inference(resolution,[],['15','20'])).
% 8.41/1.55  cnf('22', plain, (apply($sk4,$sk14($sk3,X),$sk14($sk3,X)) | member($sk12($sk3,X),$sk3) | $df1($sk3,X) | equivalence(X,$sk3)),
% 8.41/1.55    inference(resolution,[],['21','11'])).
% 8.41/1.55  cnf('23', plain, (~apply(X,$sk14(Y,X),$sk14(Y,X)) | member($sk12(Y,X),Y) | ~$df2(Y,X)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_equivalence_$sk'])).
% 8.41/1.55  cnf('24', plain, (~$df2($sk3,$sk4) | member($sk12($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[then_simplify],['22','23','8'])).
% 8.41/1.55  cnf('25', plain, (member($sk12($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[then_simplify],['24','2','8'])).
% 8.41/1.55  cnf('26', plain, (apply($sk2,$sk12($sk3,$sk4),$sk13($sk3,$sk4)) | member($sk14($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(simplify,[],['9','25'])).
% 8.41/1.55  cnf('27', plain, (~apply(X,Y,Z) | apply(X,Z,Y) | ~equivalence(X,U) | ~member(Y,U) | ~member(Z,U)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_equivalence_$sk'])).
% 8.41/1.55  cnf('28', plain, (~apply($sk2,X,Y) | apply($sk2,Y,X) | ~member(Y,$sk3) | ~member(X,$sk3)),
% 8.41/1.55    inference(resolution,[],['27','18'])).
% 8.41/1.55  cnf('29', plain, (~member($sk13($sk3,$sk4),$sk3) | ~member($sk12($sk3,$sk4),$sk3) | apply($sk2,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | member($sk14($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['26','28'])).
% 8.41/1.55  cnf('30', plain, (~member($sk13($sk3,$sk4),$sk3) | apply($sk2,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | member($sk14($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(simplify,[],['29','25'])).
% 8.41/1.55  cnf('31', plain, (apply($sk2,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | member($sk14($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[then_simplify],['30','7','8'])).
% 8.41/1.55  cnf('32', plain, (~apply($sk1,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | ~member($sk13($sk3,$sk4),$sk3) | ~member($sk12($sk3,$sk4),$sk3) | apply($sk4,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | member($sk14($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['31','16'])).
% 8.41/1.55  cnf('33', plain, (~apply($sk1,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | ~member($sk13($sk3,$sk4),$sk3) | apply($sk4,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | member($sk14($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(simplify,[],['32','25'])).
% 8.41/1.55  cnf('34', plain, (~apply($sk4,X,Y) | apply($sk1,X,Y) | ~member(Y,$sk3) | ~member(X,$sk3)),
% 8.41/1.55    inference(cnf_transformation,[],['thIII09_$sk'])).
% 8.41/1.55  cnf('35', plain, (apply($sk1,$sk12(X,$sk4),$sk13(X,$sk4)) | ~member($sk13(X,$sk4),$sk3) | ~member($sk12(X,$sk4),$sk3) | member($sk14(X,$sk4),X) | equivalence($sk4,X) | $df1(X,$sk4)),
% 8.41/1.55    inference(resolution,[],['3','34'])).
% 8.41/1.55  cnf('36', plain, (~member($sk12($sk3,$sk4),$sk3) | apply($sk1,$sk12($sk3,$sk4),$sk13($sk3,$sk4)) | member($sk14($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[then_simplify],['35','7','8'])).
% 8.41/1.55  cnf('37', plain, (apply($sk1,$sk12($sk3,$sk4),$sk13($sk3,$sk4)) | member($sk14($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(simplify,[],['36','25'])).
% 8.41/1.55  cnf('38', plain, (~apply($sk1,X,Y) | apply($sk1,Y,X) | ~member(Y,$sk3) | ~member(X,$sk3)),
% 8.41/1.55    inference(resolution,[],['27','13'])).
% 8.41/1.55  cnf('39', plain, (~member($sk13($sk3,$sk4),$sk3) | ~member($sk12($sk3,$sk4),$sk3) | apply($sk1,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | member($sk14($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['37','38'])).
% 8.41/1.55  cnf('40', plain, (~member($sk13($sk3,$sk4),$sk3) | apply($sk1,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | member($sk14($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(simplify,[],['39','25'])).
% 8.41/1.55  cnf('41', plain, (apply($sk1,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | member($sk14($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[then_simplify],['40','7','8'])).
% 8.41/1.55  cnf('42', plain, (~member($sk13($sk3,$sk4),$sk3) | apply($sk4,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | member($sk14($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['33','41'])).
% 8.41/1.55  cnf('43', plain, (apply($sk4,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | member($sk14($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[then_simplify],['42','7','8'])).
% 8.41/1.55  cnf('44', plain, (~apply(X,$sk13(Y,X),$sk12(Y,X)) | member($sk14(Y,X),Y) | ~$df2(Y,X)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_equivalence_$sk'])).
% 8.41/1.55  cnf('45', plain, (~$df2($sk3,$sk4) | member($sk14($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['43','44'])).
% 8.41/1.55  cnf('46', plain, (member($sk14($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[then_simplify],['45','2','8'])).
% 8.41/1.55  cnf('47', plain, (~apply(X,Y,Z) | ~apply(X,U,Y) | apply(X,U,Z) | ~equivalence(X,V) | ~member(Y,V) | ~member(Z,V) | ~member(U,V)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_equivalence_$sk'])).
% 8.41/1.55  cnf('48', plain, (~apply($sk2,X,Y) | ~apply($sk2,Y,Z) | apply($sk2,X,Z) | ~member(X,$sk3) | ~member(Z,$sk3) | ~member(Y,$sk3)),
% 8.41/1.55    inference(resolution,[],['47','18'])).
% 8.41/1.55  cnf('49', plain, (apply(X,$sk7(Y,X),$sk5(Y,X)) | member($sk8(Y,X),Y) | pre_order(X,Y)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_pre_order_$sk'])).
% 8.41/1.55  cnf('50', plain, (apply($sk2,$sk7(X,$sk4),$sk5(X,$sk4)) | ~member($sk5(X,$sk4),$sk3) | ~member($sk7(X,$sk4),$sk3) | member($sk8(X,$sk4),X) | pre_order($sk4,X)),
% 8.41/1.55    inference(resolution,[],['49','4'])).
% 8.41/1.55  cnf('51', plain, (member($sk5(X,Y),X) | member($sk8(X,Y),X) | pre_order(Y,X)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_pre_order_$sk'])).
% 8.41/1.55  cnf('52', plain, (~member($sk7($sk3,$sk4),$sk3) | apply($sk2,$sk7($sk3,$sk4),$sk5($sk3,$sk4)) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['50','51'])).
% 8.41/1.55  cnf('53', plain, (~apply(X,$sk8(Y,X),$sk8(Y,X)) | member($sk7(Y,X),Y) | pre_order(X,Y)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_pre_order_$sk'])).
% 8.41/1.55  cnf('54', plain, (member($sk8(X,Y),X) | member($sk7(X,Y),X) | pre_order(Y,X)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_pre_order_$sk'])).
% 8.41/1.55  cnf('55', plain, (apply($sk1,$sk8($sk3,X),$sk8($sk3,X)) | member($sk7($sk3,X),$sk3) | pre_order(X,$sk3)),
% 8.41/1.55    inference(resolution,[],['54','14'])).
% 8.41/1.55  cnf('56', plain, (apply($sk4,$sk8($sk3,X),$sk8($sk3,X)) | ~member($sk8($sk3,X),$sk3) | member($sk7($sk3,X),$sk3) | pre_order(X,$sk3)),
% 8.41/1.55    inference(resolution,[],['55','20'])).
% 8.41/1.55  cnf('57', plain, (apply($sk4,$sk8($sk3,X),$sk8($sk3,X)) | member($sk7($sk3,X),$sk3) | pre_order(X,$sk3)),
% 8.41/1.55    inference(resolution,[],['56','54'])).
% 8.41/1.55  cnf('58', plain, (member($sk7($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['53','57'])).
% 8.41/1.55  cnf('59', plain, (apply($sk2,$sk7($sk3,$sk4),$sk5($sk3,$sk4)) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['52','58'])).
% 8.41/1.55  cnf('60', plain, (~member($sk7($sk3,$sk4),$sk3) | ~member($sk5($sk3,$sk4),$sk3) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3) | ~apply($sk2,$sk5($sk3,$sk4),X3) | apply($sk2,$sk7($sk3,$sk4),X3) | ~member(X3,$sk3)),
% 8.41/1.55    inference(resolution,[],['48','59'])).
% 8.41/1.55  cnf('61', plain, (~member($sk5($sk3,$sk4),$sk3) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3) | ~apply($sk2,$sk5($sk3,$sk4),X) | apply($sk2,$sk7($sk3,$sk4),X) | ~member(X,$sk3)),
% 8.41/1.55    inference(simplify,[],['60','58'])).
% 8.41/1.55  cnf('62', plain, (apply(X,$sk5(Y,X),$sk6(Y,X)) | member($sk8(Y,X),Y) | pre_order(X,Y)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_pre_order_$sk'])).
% 8.41/1.55  cnf('63', plain, (apply($sk2,$sk5(X,$sk4),$sk6(X,$sk4)) | ~member($sk5(X,$sk4),$sk3) | ~member($sk6(X,$sk4),$sk3) | member($sk8(X,$sk4),X) | pre_order($sk4,X)),
% 8.41/1.55    inference(resolution,[],['62','4'])).
% 8.41/1.55  cnf('64', plain, (~member($sk6($sk3,$sk4),$sk3) | apply($sk2,$sk5($sk3,$sk4),$sk6($sk3,$sk4)) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['63','51'])).
% 8.41/1.55  cnf('65', plain, (~apply(X,$sk8(Y,X),$sk8(Y,X)) | member($sk6(Y,X),Y) | pre_order(X,Y)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_pre_order_$sk'])).
% 8.41/1.55  cnf('66', plain, (member($sk8(X,Y),X) | member($sk6(X,Y),X) | pre_order(Y,X)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_pre_order_$sk'])).
% 8.41/1.55  cnf('67', plain, (apply($sk1,$sk8($sk3,X),$sk8($sk3,X)) | member($sk6($sk3,X),$sk3) | pre_order(X,$sk3)),
% 8.41/1.55    inference(resolution,[],['66','14'])).
% 8.41/1.55  cnf('68', plain, (apply($sk4,$sk8($sk3,X),$sk8($sk3,X)) | ~member($sk8($sk3,X),$sk3) | member($sk6($sk3,X),$sk3) | pre_order(X,$sk3)),
% 8.41/1.55    inference(resolution,[],['67','20'])).
% 8.41/1.55  cnf('69', plain, (apply($sk4,$sk8($sk3,X),$sk8($sk3,X)) | member($sk6($sk3,X),$sk3) | pre_order(X,$sk3)),
% 8.41/1.55    inference(resolution,[],['68','66'])).
% 8.41/1.55  cnf('70', plain, (member($sk6($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['65','69'])).
% 8.41/1.55  cnf('71', plain, (apply($sk2,$sk5($sk3,$sk4),$sk6($sk3,$sk4)) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['64','70'])).
% 8.41/1.55  cnf('72', plain, (~member($sk6($sk3,$sk4),$sk3) | ~member($sk5($sk3,$sk4),$sk3) | apply($sk2,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['61','71'])).
% 8.41/1.55  cnf('73', plain, (~member($sk5($sk3,$sk4),$sk3) | apply($sk2,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['72','70'])).
% 8.41/1.55  cnf('74', plain, (apply($sk2,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['73','51'])).
% 8.41/1.55  cnf('75', plain, (~apply($sk1,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | ~member($sk7($sk3,$sk4),$sk3) | ~member($sk6($sk3,$sk4),$sk3) | apply($sk4,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['74','16'])).
% 8.41/1.55  cnf('76', plain, (~apply($sk1,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | ~member($sk6($sk3,$sk4),$sk3) | apply($sk4,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['75','58'])).
% 8.41/1.55  cnf('77', plain, (~apply($sk1,X,Y) | ~apply($sk1,Y,Z) | apply($sk1,X,Z) | ~member(X,$sk3) | ~member(Z,$sk3) | ~member(Y,$sk3)),
% 8.41/1.55    inference(resolution,[],['47','13'])).
% 8.41/1.55  cnf('78', plain, (member($sk7($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['53','57'])).
% 8.41/1.55  cnf('79', plain, (apply($sk1,$sk7(X,$sk4),$sk5(X,$sk4)) | ~member($sk5(X,$sk4),$sk3) | ~member($sk7(X,$sk4),$sk3) | member($sk8(X,$sk4),X) | pre_order($sk4,X)),
% 8.41/1.55    inference(resolution,[],['49','34'])).
% 8.41/1.55  cnf('80', plain, (~member($sk7($sk3,$sk4),$sk3) | apply($sk1,$sk7($sk3,$sk4),$sk5($sk3,$sk4)) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['79','51'])).
% 8.41/1.55  cnf('81', plain, (apply($sk1,$sk7($sk3,$sk4),$sk5($sk3,$sk4)) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['78','80'])).
% 8.41/1.55  cnf('82', plain, (~member($sk7($sk3,$sk4),$sk3) | ~member($sk5($sk3,$sk4),$sk3) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3) | ~apply($sk1,$sk5($sk3,$sk4),X3) | apply($sk1,$sk7($sk3,$sk4),X3) | ~member(X3,$sk3)),
% 8.41/1.55    inference(resolution,[],['77','81'])).
% 8.41/1.55  cnf('83', plain, (~member($sk5($sk3,$sk4),$sk3) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3) | ~apply($sk1,$sk5($sk3,$sk4),X) | apply($sk1,$sk7($sk3,$sk4),X) | ~member(X,$sk3)),
% 8.41/1.55    inference(simplify,[],['82','58'])).
% 8.41/1.55  cnf('84', plain, (apply($sk1,$sk5(X,$sk4),$sk6(X,$sk4)) | ~member($sk5(X,$sk4),$sk3) | ~member($sk6(X,$sk4),$sk3) | member($sk8(X,$sk4),X) | pre_order($sk4,X)),
% 8.41/1.55    inference(resolution,[],['62','34'])).
% 8.41/1.55  cnf('85', plain, (~member($sk6($sk3,$sk4),$sk3) | apply($sk1,$sk5($sk3,$sk4),$sk6($sk3,$sk4)) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['84','51'])).
% 8.41/1.55  cnf('86', plain, (apply($sk1,$sk5($sk3,$sk4),$sk6($sk3,$sk4)) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['85','70'])).
% 8.41/1.55  cnf('87', plain, (~member($sk6($sk3,$sk4),$sk3) | ~member($sk5($sk3,$sk4),$sk3) | apply($sk1,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['83','86'])).
% 8.41/1.55  cnf('88', plain, (~member($sk5($sk3,$sk4),$sk3) | apply($sk1,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['87','70'])).
% 8.41/1.55  cnf('89', plain, (apply($sk1,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['88','51'])).
% 8.41/1.55  cnf('90', plain, (~member($sk6($sk3,$sk4),$sk3) | apply($sk4,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['76','89'])).
% 8.41/1.55  cnf('91', plain, (apply($sk4,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['90','70'])).
% 8.41/1.55  cnf('92', plain, (~apply(X,$sk7(Y,X),$sk6(Y,X)) | member($sk8(Y,X),Y) | pre_order(X,Y)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_pre_order_$sk'])).
% 8.41/1.55  cnf('93', plain, (member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['91','92'])).
% 8.41/1.55  cnf('94', plain, (apply($sk1,$sk8($sk3,$sk4),$sk8($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['93','14'])).
% 8.41/1.55  cnf('95', plain, (~member($sk8($sk3,$sk4),$sk3) | apply($sk4,$sk8($sk3,$sk4),$sk8($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['94','20'])).
% 8.41/1.55  cnf('96', plain, (member($sk8($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['91','92'])).
% 8.41/1.55  cnf('97', plain, (apply($sk4,$sk8($sk3,$sk4),$sk8($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['95','96'])).
% 8.41/1.55  cnf('98', plain, (~apply(X,$sk8(Y,X),$sk8(Y,X)) | apply(X,$sk7(Y,X),$sk5(Y,X)) | pre_order(X,Y)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_pre_order_$sk'])).
% 8.41/1.55  cnf('99', plain, (apply($sk4,$sk7($sk3,$sk4),$sk5($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['97','98'])).
% 8.41/1.55  cnf('100', plain, (~member($sk7($sk3,$sk4),$sk3) | ~member($sk5($sk3,$sk4),$sk3) | apply($sk2,$sk7($sk3,$sk4),$sk5($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['99','4'])).
% 8.41/1.55  cnf('101', plain, (~member($sk5($sk3,$sk4),$sk3) | apply($sk2,$sk7($sk3,$sk4),$sk5($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['100','58'])).
% 8.41/1.55  cnf('102', plain, (~apply(X,$sk8(Y,X),$sk8(Y,X)) | member($sk5(Y,X),Y) | pre_order(X,Y)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_pre_order_$sk'])).
% 8.41/1.55  cnf('103', plain, (member($sk5($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['97','102'])).
% 8.41/1.55  cnf('104', plain, (apply($sk2,$sk7($sk3,$sk4),$sk5($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['101','103'])).
% 8.41/1.55  cnf('105', plain, (~member($sk7($sk3,$sk4),$sk3) | ~member($sk5($sk3,$sk4),$sk3) | pre_order($sk4,$sk3) | ~apply($sk2,$sk5($sk3,$sk4),X3) | apply($sk2,$sk7($sk3,$sk4),X3) | ~member(X3,$sk3)),
% 8.41/1.55    inference(resolution,[],['104','48'])).
% 8.41/1.55  cnf('106', plain, (~member($sk5($sk3,$sk4),$sk3) | pre_order($sk4,$sk3) | ~apply($sk2,$sk5($sk3,$sk4),X) | apply($sk2,$sk7($sk3,$sk4),X) | ~member(X,$sk3)),
% 8.41/1.55    inference(simplify,[],['105','58'])).
% 8.41/1.55  cnf('107', plain, (~apply(X,$sk8(Y,X),$sk8(Y,X)) | apply(X,$sk5(Y,X),$sk6(Y,X)) | pre_order(X,Y)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_pre_order_$sk'])).
% 8.41/1.55  cnf('108', plain, (apply($sk4,$sk5($sk3,$sk4),$sk6($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['97','107'])).
% 8.41/1.55  cnf('109', plain, (~member($sk6($sk3,$sk4),$sk3) | ~member($sk5($sk3,$sk4),$sk3) | apply($sk2,$sk5($sk3,$sk4),$sk6($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['108','4'])).
% 8.41/1.55  cnf('110', plain, (~member($sk5($sk3,$sk4),$sk3) | apply($sk2,$sk5($sk3,$sk4),$sk6($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['109','70'])).
% 8.41/1.55  cnf('111', plain, (apply($sk2,$sk5($sk3,$sk4),$sk6($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['110','103'])).
% 8.41/1.55  cnf('112', plain, (~member($sk5($sk3,$sk4),$sk3) | pre_order($sk4,$sk3) | apply($sk2,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | ~member($sk6($sk3,$sk4),$sk3)),
% 8.41/1.55    inference(resolution,[],['106','111'])).
% 8.41/1.55  cnf('113', plain, (member($sk5($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['97','102'])).
% 8.41/1.55  cnf('114', plain, (~member($sk6($sk3,$sk4),$sk3) | apply($sk2,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['112','113'])).
% 8.41/1.55  cnf('115', plain, (apply($sk2,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['114','70'])).
% 8.41/1.55  cnf('116', plain, (~apply($sk1,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | ~member($sk7($sk3,$sk4),$sk3) | ~member($sk6($sk3,$sk4),$sk3) | apply($sk4,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['115','16'])).
% 8.41/1.55  cnf('117', plain, (~member($sk7($sk3,$sk4),$sk3) | ~member($sk5($sk3,$sk4),$sk3) | apply($sk1,$sk7($sk3,$sk4),$sk5($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['99','34'])).
% 8.41/1.55  cnf('118', plain, (~member($sk5($sk3,$sk4),$sk3) | apply($sk1,$sk7($sk3,$sk4),$sk5($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['117','58'])).
% 8.41/1.55  cnf('119', plain, (apply($sk1,$sk7($sk3,$sk4),$sk5($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['118','103'])).
% 8.41/1.55  cnf('120', plain, (~member($sk7($sk3,$sk4),$sk3) | ~member($sk5($sk3,$sk4),$sk3) | pre_order($sk4,$sk3) | ~apply($sk1,$sk5($sk3,$sk4),X3) | apply($sk1,$sk7($sk3,$sk4),X3) | ~member(X3,$sk3)),
% 8.41/1.55    inference(resolution,[],['119','77'])).
% 8.41/1.55  cnf('121', plain, (~member($sk5($sk3,$sk4),$sk3) | pre_order($sk4,$sk3) | ~apply($sk1,$sk5($sk3,$sk4),X) | apply($sk1,$sk7($sk3,$sk4),X) | ~member(X,$sk3)),
% 8.41/1.55    inference(simplify,[],['120','58'])).
% 8.41/1.55  cnf('122', plain, (~member($sk6($sk3,$sk4),$sk3) | ~member($sk5($sk3,$sk4),$sk3) | apply($sk1,$sk5($sk3,$sk4),$sk6($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['108','34'])).
% 8.41/1.55  cnf('123', plain, (~member($sk5($sk3,$sk4),$sk3) | apply($sk1,$sk5($sk3,$sk4),$sk6($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['122','70'])).
% 8.41/1.55  cnf('124', plain, (apply($sk1,$sk5($sk3,$sk4),$sk6($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['123','103'])).
% 8.41/1.55  cnf('125', plain, (~member($sk5($sk3,$sk4),$sk3) | pre_order($sk4,$sk3) | apply($sk1,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | ~member($sk6($sk3,$sk4),$sk3)),
% 8.41/1.55    inference(resolution,[],['121','124'])).
% 8.41/1.55  cnf('126', plain, (~member($sk6($sk3,$sk4),$sk3) | apply($sk1,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['125','113'])).
% 8.41/1.55  cnf('127', plain, (apply($sk1,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['126','70'])).
% 8.41/1.55  cnf('128', plain, (~member($sk7($sk3,$sk4),$sk3) | ~member($sk6($sk3,$sk4),$sk3) | pre_order($sk4,$sk3) | ~apply($sk1,$sk6($sk3,$sk4),X3) | apply($sk1,$sk7($sk3,$sk4),X3) | ~member(X3,$sk3)),
% 8.41/1.55    inference(resolution,[],['127','77'])).
% 8.41/1.55  cnf('129', plain, (~member($sk6($sk3,$sk4),$sk3) | pre_order($sk4,$sk3) | ~apply($sk1,$sk6($sk3,$sk4),X) | apply($sk1,$sk7($sk3,$sk4),X) | ~member(X,$sk3)),
% 8.41/1.55    inference(simplify,[],['128','58'])).
% 8.41/1.55  cnf('130', plain, (member($sk6($sk3,$sk4),$sk3) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['65','69'])).
% 8.41/1.55  cnf('131', plain, (apply($sk1,$sk6($sk3,$sk4),$sk6($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['130','14'])).
% 8.41/1.55  cnf('132', plain, (~member($sk6($sk3,$sk4),$sk3) | pre_order($sk4,$sk3) | apply($sk1,$sk7($sk3,$sk4),$sk6($sk3,$sk4))),
% 8.41/1.55    inference(resolution,[],['129','131'])).
% 8.41/1.55  cnf('133', plain, (apply($sk1,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['132','70'])).
% 8.41/1.55  cnf('134', plain, (~member($sk7($sk3,$sk4),$sk3) | ~member($sk6($sk3,$sk4),$sk3) | apply($sk4,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['116','133'])).
% 8.41/1.55  cnf('135', plain, (~member($sk6($sk3,$sk4),$sk3) | apply($sk4,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['134','78'])).
% 8.41/1.55  cnf('136', plain, (apply($sk4,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['135','70'])).
% 8.41/1.55  cnf('137', plain, (~apply(X,$sk8(Y,X),$sk8(Y,X)) | ~apply(X,$sk7(Y,X),$sk6(Y,X)) | pre_order(X,Y)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_pre_order_$sk'])).
% 8.41/1.55  cnf('138', plain, (~apply($sk4,$sk7($sk3,$sk4),$sk6($sk3,$sk4)) | pre_order($sk4,$sk3)),
% 8.41/1.55    inference(resolution,[],['97','137'])).
% 8.41/1.55  cnf('139', plain, (pre_order($sk4,$sk3)),
% 8.41/1.55    inference(simplify,[],['136','138'])).
% 8.41/1.55  cnf('140', plain, (apply(X,Y,Y) | ~pre_order(X,Z) | ~member(Y,Z)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_pre_order_$sk'])).
% 8.41/1.55  cnf('141', plain, (apply($sk4,X,X) | ~member(X,$sk3)),
% 8.41/1.55    inference(resolution,[],['139','140'])).
% 8.41/1.55  cnf('142', plain, (apply($sk4,$sk14($sk3,$sk4),$sk14($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['46','141'])).
% 8.41/1.55  cnf('143', plain, (~apply(X,$sk14(Y,X),$sk14(Y,X)) | apply(X,$sk12(Y,X),$sk13(Y,X)) | ~$df2(Y,X)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_equivalence_$sk'])).
% 8.41/1.55  cnf('144', plain, (~$df2($sk3,$sk4) | apply($sk4,$sk12($sk3,$sk4),$sk13($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['142','143'])).
% 8.41/1.55  cnf('145', plain, (apply($sk4,$sk12($sk3,$sk4),$sk13($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[then_simplify],['144','2','8'])).
% 8.41/1.55  cnf('146', plain, (~member($sk13($sk3,$sk4),$sk3) | ~member($sk12($sk3,$sk4),$sk3) | apply($sk2,$sk12($sk3,$sk4),$sk13($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['145','4'])).
% 8.41/1.55  cnf('147', plain, (~apply(X,$sk14(Y,X),$sk14(Y,X)) | member($sk13(Y,X),Y) | ~$df2(Y,X)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_equivalence_$sk'])).
% 8.41/1.55  cnf('148', plain, (~$df2($sk3,$sk4) | member($sk13($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['142','147'])).
% 8.41/1.55  cnf('149', plain, (member($sk13($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[then_simplify],['148','2','8'])).
% 8.41/1.55  cnf('150', plain, (~member($sk12($sk3,$sk4),$sk3) | apply($sk2,$sk12($sk3,$sk4),$sk13($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(simplify,[],['146','149'])).
% 8.41/1.55  cnf('151', plain, (member($sk12($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[then_simplify],['24','2','8'])).
% 8.41/1.55  cnf('152', plain, (apply($sk2,$sk12($sk3,$sk4),$sk13($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['150','151'])).
% 8.41/1.55  cnf('153', plain, (~member($sk13($sk3,$sk4),$sk3) | ~member($sk12($sk3,$sk4),$sk3) | apply($sk2,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['152','28'])).
% 8.41/1.55  cnf('154', plain, (~member($sk12($sk3,$sk4),$sk3) | apply($sk2,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(simplify,[],['153','149'])).
% 8.41/1.55  cnf('155', plain, (apply($sk2,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['154','151'])).
% 8.41/1.55  cnf('156', plain, (~apply($sk1,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | ~member($sk13($sk3,$sk4),$sk3) | ~member($sk12($sk3,$sk4),$sk3) | apply($sk4,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['155','16'])).
% 8.41/1.55  cnf('157', plain, (~member($sk13($sk3,$sk4),$sk3) | ~member($sk12($sk3,$sk4),$sk3) | apply($sk1,$sk12($sk3,$sk4),$sk13($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['145','34'])).
% 8.41/1.55  cnf('158', plain, (~member($sk12($sk3,$sk4),$sk3) | apply($sk1,$sk12($sk3,$sk4),$sk13($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(simplify,[],['157','149'])).
% 8.41/1.55  cnf('159', plain, (apply($sk1,$sk12($sk3,$sk4),$sk13($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['158','151'])).
% 8.41/1.55  cnf('160', plain, (~member($sk13($sk3,$sk4),$sk3) | ~member($sk12($sk3,$sk4),$sk3) | apply($sk1,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['159','38'])).
% 8.41/1.55  cnf('161', plain, (~member($sk12($sk3,$sk4),$sk3) | apply($sk1,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(simplify,[],['160','149'])).
% 8.41/1.55  cnf('162', plain, (apply($sk1,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['161','151'])).
% 8.41/1.55  cnf('163', plain, (~member($sk13($sk3,$sk4),$sk3) | ~member($sk12($sk3,$sk4),$sk3) | apply($sk4,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(simplify,[],['156','162'])).
% 8.41/1.55  cnf('164', plain, (member($sk13($sk3,$sk4),$sk3) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[then_simplify],['148','2','8'])).
% 8.41/1.55  cnf('165', plain, (~member($sk12($sk3,$sk4),$sk3) | apply($sk4,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['163','164'])).
% 8.41/1.55  cnf('166', plain, (apply($sk4,$sk13($sk3,$sk4),$sk12($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(simplify,[],['165','25'])).
% 8.41/1.55  cnf('167', plain, (~apply(X,$sk13(Y,X),$sk12(Y,X)) | ~apply(X,$sk14(Y,X),$sk14(Y,X)) | ~$df2(Y,X)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_equivalence_$sk'])).
% 8.41/1.55  cnf('168', plain, (~apply($sk4,$sk14($sk3,$sk4),$sk14($sk3,$sk4)) | ~$df2($sk3,$sk4) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['166','167'])).
% 8.41/1.55  cnf('169', plain, (apply($sk4,$sk14($sk3,$sk4),$sk14($sk3,$sk4)) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[],['46','141'])).
% 8.41/1.55  cnf('170', plain, (~$df2($sk3,$sk4) | $df1($sk3,$sk4)),
% 8.41/1.55    inference(simplify,[],['168','169'])).
% 8.41/1.55  cnf('171', plain, ($df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[then_simplify],['170','2','8'])).
% 8.41/1.55  cnf('172', plain, (apply(X,$sk11(Y,X),$sk9(Y,X)) | ~$df1(Y,X)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_equivalence_$sk'])).
% 8.41/1.55  cnf('173', plain, (apply($sk4,$sk11($sk3,$sk4),$sk9($sk3,$sk4))),
% 8.41/1.55    inference(resolution,[],['171','172'])).
% 8.41/1.55  cnf('174', plain, (member($sk9(X,Y),X) | ~$df1(X,Y)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_equivalence_$sk'])).
% 8.41/1.55  cnf('175', plain, (member($sk9($sk3,$sk4),$sk3)),
% 8.41/1.55    inference(resolution,[],['171','174'])).
% 8.41/1.55  cnf('176', plain, (member($sk11(X,Y),X) | ~$df1(X,Y)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_equivalence_$sk'])).
% 8.41/1.55  cnf('177', plain, (member($sk11($sk3,$sk4),$sk3)),
% 8.41/1.55    inference(resolution,[],['171','176'])).
% 8.41/1.55  cnf('178', plain, (apply($sk2,$sk11($sk3,$sk4),$sk9($sk3,$sk4))),
% 8.41/1.55    inference(resolution,[then_simplify],['173','4','175','177'])).
% 8.41/1.55  cnf('179', plain, (~apply($sk2,$sk9($sk3,$sk4),X) | apply($sk2,$sk11($sk3,$sk4),X) | ~member(X,$sk3)),
% 8.41/1.55    inference(resolution,[then_simplify],['178','48','177','175'])).
% 8.41/1.55  cnf('180', plain, (apply(X,$sk9(Y,X),$sk10(Y,X)) | ~$df1(Y,X)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_equivalence_$sk'])).
% 8.41/1.55  cnf('181', plain, (apply($sk4,$sk9($sk3,$sk4),$sk10($sk3,$sk4))),
% 8.41/1.55    inference(resolution,[],['171','180'])).
% 8.41/1.55  cnf('182', plain, (member($sk10(X,Y),X) | ~$df1(X,Y)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_equivalence_$sk'])).
% 8.41/1.55  cnf('183', plain, (member($sk10($sk3,$sk4),$sk3)),
% 8.41/1.55    inference(resolution,[],['171','182'])).
% 8.41/1.55  cnf('184', plain, (apply($sk2,$sk9($sk3,$sk4),$sk10($sk3,$sk4))),
% 8.41/1.55    inference(resolution,[then_simplify],['181','4','183','175'])).
% 8.41/1.55  cnf('185', plain, (apply($sk2,$sk11($sk3,$sk4),$sk10($sk3,$sk4))),
% 8.41/1.55    inference(resolution,[then_simplify],['179','184','183'])).
% 8.41/1.55  cnf('186', plain, (~apply($sk1,$sk11($sk3,$sk4),$sk10($sk3,$sk4)) | apply($sk4,$sk11($sk3,$sk4),$sk10($sk3,$sk4))),
% 8.41/1.55    inference(resolution,[then_simplify],['185','16','183','177'])).
% 8.41/1.55  cnf('187', plain, (apply($sk1,$sk11($sk3,$sk4),$sk9($sk3,$sk4))),
% 8.41/1.55    inference(resolution,[then_simplify],['173','34','175','177'])).
% 8.41/1.55  cnf('188', plain, (~apply($sk1,$sk9($sk3,$sk4),X) | apply($sk1,$sk11($sk3,$sk4),X) | ~member(X,$sk3)),
% 8.41/1.55    inference(resolution,[then_simplify],['187','77','177','175'])).
% 8.41/1.55  cnf('189', plain, (apply($sk1,$sk9($sk3,$sk4),$sk10($sk3,$sk4))),
% 8.41/1.55    inference(resolution,[then_simplify],['181','34','183','175'])).
% 8.41/1.55  cnf('190', plain, (apply($sk1,$sk11($sk3,$sk4),$sk10($sk3,$sk4))),
% 8.41/1.55    inference(resolution,[then_simplify],['188','189','183'])).
% 8.41/1.55  cnf('191', plain, (apply($sk4,$sk11($sk3,$sk4),$sk10($sk3,$sk4))),
% 8.41/1.55    inference(simplify,[],['186','190'])).
% 8.41/1.55  cnf('192', plain, (~apply(X,$sk11(Y,X),$sk10(Y,X)) | ~$df1(Y,X)),
% 8.41/1.55    inference(cnf_transformation,[],['$inc_equivalence_$sk'])).
% 8.41/1.55  cnf('193', plain, ($df1($sk3,$sk4)),
% 8.41/1.55    inference(resolution,[then_simplify],['170','2','8'])).
% 8.41/1.55  cnf('194', plain, ($false),
% 8.41/1.55    inference(resolution,[then_simplify],['191','192','193'])).
% 8.41/1.55  
% 8.41/1.55  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 8.41/1.55  
% 8.41/1.55  run 77 fork 4 statistics:
% 8.41/1.55  ----------------------------------
% 8.41/1.55  this run seconds: 0.035395
% 8.41/1.55  total seconds: 1.107145
% 8.41/1.55  stat_given_used: 579
% 8.41/1.55  stat_given_used_at_endgame: 0
% 8.41/1.55  stat_given_candidates:   2064
% 8.41/1.55  stat_given_candidates_at_endgame: 0
% 8.41/1.55  stat_given_candidates_h: 0
% 8.41/1.55  stat_binres_derived_cl:   1962
% 8.41/1.55  stat_binres_derived_cl_h: 0
% 8.41/1.55  stat_factor_derived_cl: 164
% 8.41/1.55  stat_para_derived_cl: 0
% 8.41/1.55  stat_tautologies_discarded: 276
% 8.41/1.55  stat_forward_subsumed: 115
% 8.41/1.55  stat_derived_cut: 1025
% 8.41/1.55  stat_derived_rewritten: 0
% 8.41/1.55  stat_weight_discarded_building: 0
% 8.41/1.55  stat_weight_discarded_cl: 0
% 8.41/1.55  stat_internlimit_discarded_cl: 0
% 8.41/1.55  stat_simplified:  843 simplified 0 derived 0 given
% 8.41/1.55  stat_kept_cl: 1734
% 8.41/1.55  stat_built_cl: 3735
% 8.41/1.55  stat_hyperres_partial_cl: 0
% 8.41/1.55  stat_made_rewriters: 0
% 8.41/1.55  stat_backward_subsumed: 0
% 8.41/1.55  stat_propagated_subsumed: 0
% 8.41/1.55  stat_clsubs_attempted:                      5939
% 8.41/1.55  stat_clsubs_fact_groundunit_found:             2
% 8.41/1.55  stat_clsubs_rule_groundunit_found:           112
% 8.41/1.55  stat_clsubs_top_meta_attempted:             373456
% 8.41/1.55  stat_clsubs_top_meta_failed:                367517
% 8.41/1.55  stat_clsubs_top_meta_nonpref_attempted:              373456
% 8.41/1.55  stat_clsubs_top_meta_nonpref_succeeded:              120650
% 8.41/1.55  stat_clsubs_top_meta_pref_attempted:                 120650
% 8.41/1.55  stat_clsubs_top_meta_pref1_succeeded:                 54975
% 8.41/1.55  stat_clsubs_top_meta_pref2_succeeded:                  9152
% 8.41/1.55  stat_clsubs_top_meta_pref3_succeeded:                  5939
% 8.41/1.55  stat_clsubs_top_meta_pref_succeeded:                   5939
% 8.41/1.55  stat_clsubs_meta_attempted:                19650
% 8.41/1.55  stat_clsubs_meta_failed:                    7133
% 8.41/1.55  stat_clsubs_predsymbs_attempted:               0
% 8.41/1.55  stat_clsubs_unit_attempted:                    0
% 8.41/1.55  stat_clsubs_full_attempted:                 5939
% 8.41/1.55  stat_forwardsubs_attempted:                 1850
% 8.41/1.55  stat_lit_hash_added:                    444
% 8.41/1.55  stat_lit_hash_computed:               36512
% 8.41/1.55  stat_lit_hash_match_found:              566
% 8.41/1.55  stat_lit_hash_match_miss:             51513
% 8.41/1.55  stat_lit_hash_cut_ok:                  1129
% 8.41/1.55  stat_lit_strong_cut_ok:                   0
% 8.41/1.55  stat_lit_hash_subsume_ok:               115
% 8.41/1.55  clqueue els 10000000 used 1
% 8.41/1.55  clactive els 10000000 used 580
% 8.41/1.55  clactivesubsume els 10000000 used 3259
% 8.41/1.55  queue_termbuf els 200000000 used 212335
% 8.41/1.55  hyper_termbuf els 100000000 used 1
% 8.41/1.55  active_termbuf els 100000000 used 34613
% 8.41/1.55  varstack els 5000 last used 1
% 8.41/1.55  given_termbuf els 10000000 last used 1
% 8.41/1.55  simplified_termbuf els 10000000 last used 1
% 8.41/1.55  derived_termbuf els 10000000 last used 22
% 8.41/1.55  wr_mallocs: 4761
% 8.41/1.55  wr_callocs: 21
% 8.41/1.55  wr_reallocs: 199
% 8.41/1.55  wr_frees: 4
% 8.41/1.55  wr_malloc_bytes: 4162757620
% 8.41/1.55  wr_calloc_bytes: 112065536
% 8.41/1.55  wr_realloc_bytes: 168728
% 8.41/1.55  wr_realloc_freebytes: 0
% 8.41/1.55  ----------------------------------
%------------------------------------------------------------------------------