TSTP Solution File: SET776+4 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SET776+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n011.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 15:04:04 EDT 2023

% Result   : Theorem 1.50s 0.76s
% Output   : CNFRefutation 1.50s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET776+4 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.13  % Command  : gkc %s
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Sat Aug 26 16:12:24 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.14/0.40  
% 0.14/0.40  input clause set summed statistics:
% 0.14/0.40  ----------------------------------
% 0.14/0.40  in_clause_count:                   145
% 0.14/0.40  in_rule_clause_count:              137
% 0.14/0.40  in_fact_clause_count:                8
% 0.14/0.40  in_answer_clause_count:              0
% 0.14/0.40  in_ground_clause_count:              9
% 0.14/0.40  in_unit_clause_count:               10
% 0.14/0.40  in_horn_clause_count:              100
% 0.14/0.40  in_pos_clause_count:                28
% 0.14/0.40  in_neg_clause_count:                27
% 0.14/0.40  in_poseq_clause_count:               4
% 0.14/0.40  in_negeq_clause_count:               4
% 0.14/0.40  in_unitposeq_clause_count:           0
% 0.14/0.40  in_chain_clause_count:               0
% 0.14/0.40  in_min_length:             1
% 0.14/0.40  in_max_length:             9
% 0.14/0.40  in_min_depth:              1
% 0.14/0.40  in_max_depth:              2
% 0.14/0.40  in_min_size:               3
% 0.14/0.40  in_max_size:              42
% 0.14/0.40  in_min_vars:               0
% 0.14/0.40  in_max_vars:               5
% 0.14/0.40  in_extaxiom_count:               133
% 0.14/0.40  in_axiom_count:                    0
% 0.14/0.40  in_assumption_count:               0
% 0.14/0.40  in_goal_count:                    12
% 0.14/0.40  in_neg_goal_count:                 1
% 0.14/0.40  in_pos_goal_count:                 8
% 0.14/0.40  in_posunit_goal_count:             8
% 0.14/0.40  
% 0.14/0.40  auto guide:
% 0.14/0.40  -----------
% 0.14/0.40  {
% 0.14/0.40  "print":1,
% 0.14/0.40  "print_level": 15,
% 0.14/0.40  "max_size": 0,
% 0.14/0.40  "max_depth": 0,
% 0.14/0.40  "max_length": 0,
% 0.14/0.40  "max_dseconds": 0,
% 0.14/0.40  "runs":[
% 0.14/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.14/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.14/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.14/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.14/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.14/0.40  {"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},
% 0.14/0.40  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.14/0.40  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara","prohibit_unordered_para"], "max_dseconds":1},
% 0.14/0.40  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.14/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.14/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.14/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50,  "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.14/0.40  {"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},
% 0.14/0.40  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.14/0.40  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.14/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.14/0.40  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.14/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.14/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":1},
% 0.14/0.40  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.14/0.40  {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.14/0.40  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.14/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.14/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.14/0.40  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.14/0.40  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.14/0.40  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.14/0.40  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.14/0.40  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.14/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.14/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.14/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.14/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.14/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.14/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.14/0.40  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.14/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.14/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.14/0.40  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.14/0.40  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.14/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.14/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.14/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.14/0.40  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.14/0.40  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.14/0.40  {"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},
% 0.14/0.40  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.14/0.40  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.14/0.40  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.14/0.40  {"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},
% 0.14/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.14/0.40  
% 0.14/0.40  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":10, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
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% 0.14/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50,  "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.14/0.40  {"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},
% 0.14/0.40  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.14/0.40  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.14/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.14/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":50, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.14/0.40  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.14/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.14/0.40  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":50},
% 0.14/0.40  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.14/0.40  {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.14/0.40  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.14/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.14/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.14/0.40  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.14/0.40  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.14/0.40  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.14/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.14/0.40  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.14/0.40  {"max_dseconds":50, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.14/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":50, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.14/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.14/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":50},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.14/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.14/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.14/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.14/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.14/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.14/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.14/0.40  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.14/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.14/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.14/0.40  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.14/0.40  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.14/0.40  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.14/0.40  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.14/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.14/0.40  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.14/0.40  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.14/0.40  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.14/0.40  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.14/0.40  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.14/0.40  {"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},
% 0.14/0.40  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.14/0.40  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.14/0.40  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.14/0.40  {"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},
% 0.14/0.40  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.14/0.40  
% 0.14/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.14/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":3},
% 0.14/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.14/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.14/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.14/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.14/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.14/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.14/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.14/0.40  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.14/0.40  {"max_dseconds":250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.14/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.14/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.14/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.14/0.40  
% 0.14/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":3},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.14/0.40  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.14/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "max_depth":2} 
% 0.14/0.40  
% 0.14/0.40  ]}
% 0.14/0.40  
% 0.14/0.40  
% 0.14/0.40  **** run 1 fork 0 starts with strategy
% 0.14/0.40  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.14/0.40  
% 0.14/0.40  **** run 2 fork 1 starts with strategy
% 0.14/0.40  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 0.14/0.40  
% 0.14/0.40  **** run 3 fork 2 starts with strategy
% 0.14/0.40  {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.14/0.40  
% 0.14/0.40  **** run 4 fork 3 starts with strategy
% 0.14/0.40  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.14/0.40  
% 0.14/0.40  **** run 5 fork 4 starts with strategy
% 0.14/0.40  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.14/0.41  
% 0.14/0.41  **** run 6 fork 5 starts with strategy
% 0.14/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.14/0.41  
% 0.14/0.41  **** run 7 fork 6 starts with strategy
% 0.14/0.41  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.14/0.41  
% 0.14/0.41  **** run 8 fork 7 starts with strategy
% 0.14/0.41  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.21/0.55  
% 0.21/0.55  
% 0.21/0.55  fork 0: search terminated without proof.
% 0.21/0.55  
% 0.21/0.55  
% 0.21/0.55  fork 4: search terminated without proof.
% 0.21/0.55  
% 0.21/0.55  
% 0.21/0.55  fork 5: search terminated without proof.
% 0.21/0.55  
% 0.21/0.55  
% 0.21/0.55  fork 6: search terminated without proof.
% 0.21/0.57  
% 0.21/0.57  **** run 13 fork 4 starts with strategy
% 0.21/0.57  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.21/0.57  
% 0.21/0.57  **** run 9 fork 0 starts with strategy
% 0.21/0.57  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.21/0.57  
% 0.21/0.57  **** run 14 fork 5 starts with strategy
% 0.21/0.57  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.21/0.57  
% 0.21/0.57  **** run 15 fork 6 starts with strategy
% 0.21/0.57  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 1.50/0.70  
% 1.50/0.70  
% 1.50/0.70  fork 5: search terminated without proof.
% 1.50/0.70  
% 1.50/0.70  
% 1.50/0.70  fork 0: search terminated without proof.
% 1.50/0.71  
% 1.50/0.71  
% 1.50/0.71  fork 6: search terminated without proof.
% 1.50/0.72  
% 1.50/0.72  **** run 22 fork 5 starts with strategy
% 1.50/0.72  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":0,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 1.50/0.72  
% 1.50/0.72  **** run 17 fork 0 starts with strategy
% 1.50/0.72  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":0}
% 1.50/0.73  
% 1.50/0.73  **** run 23 fork 6 starts with strategy
% 1.50/0.73  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 1.50/0.76  
% 1.50/0.76  
% 1.50/0.76  result: proof found
% 1.50/0.76  for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.50/0.76  by run 23 fork 6 strategy {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0,"sine":1}
% 1.50/0.76  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.50/0.76  
% 1.50/0.76  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.50/0.76  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,$sk10(X7,X8),$sk9(X7,X8)) & (apply(X8,$sk8(X7,X8),$sk9(X7,X8)) & apply(X8,$sk10(X7,X8),$sk8(X7,X8)))) & (member($sk9(X7,X8),X7) & (member($sk8(X7,X8),X7) & member($sk10(X7,X8),X7)))) | (~apply(X8,$sk11(X7,X8),$sk11(X7,X8)) & member($sk11(X7,X8),X7))))),
% 1.50/0.76    inference(negpush_and_skolemize,[],['$inc_pre_order'])).
% 1.50/0.76  fof('$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))))))),
% 1.50/0.76    input). 
% 1.50/0.76  fof('thIII12_$sk', plain, (((~apply($sk3,$sk7,$sk6) & (apply($sk3,$sk4,$sk5) & (apply($sk2,$sk5,$sk6) & apply($sk2,$sk4,$sk7)))) & (member($sk6,$sk1) & (member($sk7,$sk1) & (member($sk5,$sk1) & member($sk4,$sk1))))) & ((((~apply($sk2,X2,X1) | (apply($sk3,X1,X2) & apply($sk3,X2,X1))) & (apply($sk2,X2,X1) | (~apply($sk3,X1,X2) | ~apply($sk3,X2,X1)))) | (~member(X1,$sk1) | ~member(X2,$sk1))) & pre_order($sk3,$sk1))),
% 1.50/0.76    inference(negpush_and_skolemize,[],['thIII12'])).
% 1.50/0.76  fof('thIII12', conjecture, (! [E,P,R] : ((pre_order(P,E) & (! [A,B] : ((member(A,E) & member(B,E)) => (apply(R,A,B) <=> (apply(P,A,B) & apply(P,B,A)))))) => (! [X1,X2,Y1,Y2] : ((((member(X1,E) & member(X2,E)) & member(Y1,E)) & member(Y2,E)) => (((apply(R,X1,Y1) & apply(R,X2,Y2)) & apply(P,X1,X2)) => apply(P,Y1,Y2)))))),
% 1.50/0.76    input). 
% 1.50/0.76  cnf('1', plain, (~apply(X,Y,Z) | ~apply(X,U,Y) | apply(X,U,Z) | ~pre_order(X,V) | ~member(Y,V) | ~member(Z,V) | ~member(U,V)),
% 1.50/0.76    inference(cnf_transformation,[],['$inc_pre_order_$sk'])).
% 1.50/0.76  cnf('2', plain, (apply($sk3,$sk4,$sk5)),
% 1.50/0.76    inference(cnf_transformation,[],['thIII12_$sk'])).
% 1.50/0.76  cnf('3', plain, (~apply($sk3,X,$sk4) | apply($sk3,X,$sk5) | ~pre_order($sk3,Y) | ~member($sk5,Y) | ~member($sk4,Y) | ~member(X,Y)),
% 1.50/0.76    inference(resolution,[],['1','2'])).
% 1.50/0.76  cnf('4', plain, (~apply($sk2,X,Y) | apply($sk3,Y,X) | ~member(X,$sk1) | ~member(Y,$sk1)),
% 1.50/0.76    inference(cnf_transformation,[],['thIII12_$sk'])).
% 1.50/0.76  cnf('5', plain, (apply($sk2,$sk4,$sk7)),
% 1.50/0.76    inference(cnf_transformation,[],['thIII12_$sk'])).
% 1.50/0.76  cnf('6', plain, (member($sk4,$sk1)),
% 1.50/0.76    inference(cnf_transformation,[],['thIII12_$sk'])).
% 1.50/0.76  cnf('7', plain, (member($sk7,$sk1)),
% 1.50/0.76    inference(cnf_transformation,[],['thIII12_$sk'])).
% 1.50/0.76  cnf('8', plain, (apply($sk3,$sk7,$sk4)),
% 1.50/0.76    inference(resolution,[then_simplify],['4','5','6','7'])).
% 1.50/0.76  cnf('9', plain, (apply($sk3,$sk7,$sk5) | ~pre_order($sk3,X) | ~member($sk5,X) | ~member($sk4,X) | ~member($sk7,X)),
% 1.50/0.76    inference(resolution,[],['3','8'])).
% 1.50/0.76  cnf('10', plain, (~apply($sk2,X,Y) | apply($sk3,X,Y) | ~member(Y,$sk1) | ~member(X,$sk1)),
% 1.50/0.76    inference(cnf_transformation,[],['thIII12_$sk'])).
% 1.50/0.76  cnf('11', plain, (apply($sk2,$sk5,$sk6)),
% 1.50/0.76    inference(cnf_transformation,[],['thIII12_$sk'])).
% 1.50/0.76  cnf('12', plain, (member($sk6,$sk1)),
% 1.50/0.76    inference(cnf_transformation,[],['thIII12_$sk'])).
% 1.50/0.76  cnf('13', plain, (member($sk5,$sk1)),
% 1.50/0.76    inference(cnf_transformation,[],['thIII12_$sk'])).
% 1.50/0.76  cnf('14', plain, (apply($sk3,$sk5,$sk6)),
% 1.50/0.76    inference(resolution,[then_simplify],['10','11','12','13'])).
% 1.50/0.76  cnf('15', plain, (~apply($sk3,X,$sk5) | apply($sk3,X,$sk6) | ~pre_order($sk3,Y) | ~member($sk5,Y) | ~member($sk6,Y) | ~member(X,Y)),
% 1.50/0.76    inference(resolution,[],['1','14'])).
% 1.50/0.76  cnf('16', plain, (~apply($sk3,$sk7,$sk6)),
% 1.50/0.76    inference(cnf_transformation,[],['thIII12_$sk'])).
% 1.50/0.76  cnf('17', plain, (~pre_order($sk3,X) | ~pre_order($sk3,Y) | ~member($sk5,X) | ~member($sk5,Y) | ~member($sk4,Y) | ~member($sk6,X) | ~member($sk7,X) | ~member($sk7,Y)),
% 1.50/0.76    inference(resolution,[then_simplify],['9','15','16'])).
% 1.50/0.76  cnf('18', plain, (pre_order($sk3,$sk1)),
% 1.50/0.76    inference(cnf_transformation,[],['thIII12_$sk'])).
% 1.50/0.76  cnf('19', plain, (~pre_order($sk3,X) | ~member($sk5,X) | ~member($sk4,X) | ~member($sk7,X)),
% 1.50/0.76    inference(resolution,[then_simplify],['17','18','13','12','7'])).
% 1.50/0.76  cnf('20', plain, ($false),
% 1.50/0.76    inference(resolution,[then_simplify],['19','18','13','6','7'])).
% 1.50/0.76  
% 1.50/0.76  % SZS output end CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.50/0.76  
% 1.50/0.76  run 23 fork 6 statistics:
% 1.50/0.76  ----------------------------------
% 1.50/0.76  this run seconds: 0.010734
% 1.50/0.76  total seconds: 0.359315
% 1.50/0.76  stat_given_used: 102
% 1.50/0.76  stat_given_used_at_endgame: 0
% 1.50/0.76  stat_given_candidates:   182
% 1.50/0.76  stat_given_candidates_at_endgame: 0
% 1.50/0.76  stat_given_candidates_h: 0
% 1.50/0.76  stat_binres_derived_cl:   201
% 1.50/0.76  stat_binres_derived_cl_h: 0
% 1.50/0.76  stat_factor_derived_cl: 31
% 1.50/0.76  stat_para_derived_cl: 0
% 1.50/0.76  stat_tautologies_discarded: 10
% 1.50/0.76  stat_forward_subsumed: 49
% 1.50/0.76  stat_derived_cut: 22
% 1.50/0.76  stat_derived_rewritten: 0
% 1.50/0.76  stat_weight_discarded_building: 0
% 1.50/0.76  stat_weight_discarded_cl: 0
% 1.50/0.76  stat_internlimit_discarded_cl: 0
% 1.50/0.76  stat_simplified:  1 simplified 0 derived 0 given
% 1.50/0.76  stat_kept_cl: 172
% 1.50/0.76  stat_built_cl: 377
% 1.50/0.76  stat_hyperres_partial_cl: 0
% 1.50/0.76  stat_made_rewriters: 0
% 1.50/0.76  stat_backward_subsumed: 0
% 1.50/0.76  stat_propagated_subsumed: 0
% 1.50/0.76  stat_clsubs_attempted:                       205
% 1.50/0.76  stat_clsubs_fact_groundunit_found:             8
% 1.50/0.76  stat_clsubs_rule_groundunit_found:             1
% 1.50/0.76  stat_clsubs_top_meta_attempted:               5188
% 1.50/0.76  stat_clsubs_top_meta_failed:                  4983
% 1.50/0.76  stat_clsubs_top_meta_nonpref_attempted:                5188
% 1.50/0.76  stat_clsubs_top_meta_nonpref_succeeded:                1871
% 1.50/0.76  stat_clsubs_top_meta_pref_attempted:                   1871
% 1.50/0.76  stat_clsubs_top_meta_pref1_succeeded:                   560
% 1.50/0.76  stat_clsubs_top_meta_pref2_succeeded:                   213
% 1.50/0.76  stat_clsubs_top_meta_pref3_succeeded:                   205
% 1.50/0.76  stat_clsubs_top_meta_pref_succeeded:                    205
% 1.50/0.76  stat_clsubs_meta_attempted:                  553
% 1.50/0.76  stat_clsubs_meta_failed:                     200
% 1.50/0.76  stat_clsubs_predsymbs_attempted:               0
% 1.50/0.76  stat_clsubs_unit_attempted:                    0
% 1.50/0.76  stat_clsubs_full_attempted:                  205
% 1.50/0.76  stat_forwardsubs_attempted:                  222
% 1.50/0.76  stat_lit_hash_added:                     60
% 1.50/0.76  stat_lit_hash_computed:                2893
% 1.50/0.76  stat_lit_hash_match_found:               96
% 1.50/0.76  stat_lit_hash_match_miss:              4156
% 1.50/0.76  stat_lit_hash_cut_ok:                    39
% 1.50/0.76  stat_lit_strong_cut_ok:                   0
% 1.50/0.76  stat_lit_hash_subsume_ok:                49
% 1.50/0.76  clqueue els 10000000 used 1
% 1.50/0.76  clactive els 10000000 used 103
% 1.50/0.76  clactivesubsume els 10000000 used 523
% 1.50/0.76  queue_termbuf els 200000000 used 12772
% 1.50/0.76  hyper_termbuf els 100000000 used 1
% 1.50/0.76  active_termbuf els 100000000 used 4329
% 1.50/0.76  varstack els 5000 last used 1
% 1.50/0.76  given_termbuf els 10000000 last used 1
% 1.50/0.76  simplified_termbuf els 10000000 last used 1
% 1.50/0.76  derived_termbuf els 10000000 last used 42
% 1.50/0.76  wr_mallocs: 752
% 1.50/0.76  wr_callocs: 21
% 1.50/0.76  wr_reallocs: 17
% 1.50/0.76  wr_frees: 4
% 1.50/0.76  wr_malloc_bytes: 4162619972
% 1.50/0.76  wr_calloc_bytes: 112065536
% 1.50/0.76  wr_realloc_bytes: 14024
% 1.50/0.76  wr_realloc_freebytes: 0
% 1.50/0.76  ----------------------------------
%------------------------------------------------------------------------------