TSTP Solution File: SET762+4 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SET762+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n028.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 15:04:00 EDT 2023

% Result   : Theorem 0.19s 0.67s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET762+4 : TPTP v8.1.2. Bugfixed v2.2.1.
% 0.00/0.13  % Command  : gkc %s
% 0.16/0.34  % Computer : n028.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Sat Aug 26 11:15:07 EDT 2023
% 0.19/0.34  % 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:                   144
% 0.19/0.40  in_rule_clause_count:              143
% 0.19/0.40  in_fact_clause_count:                1
% 0.19/0.40  in_answer_clause_count:              0
% 0.19/0.40  in_ground_clause_count:              2
% 0.19/0.40  in_unit_clause_count:                3
% 0.19/0.40  in_horn_clause_count:               79
% 0.19/0.40  in_pos_clause_count:                42
% 0.19/0.40  in_neg_clause_count:                 3
% 0.19/0.40  in_poseq_clause_count:               5
% 0.19/0.40  in_negeq_clause_count:               7
% 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:              46
% 0.19/0.40  in_min_vars:               0
% 0.19/0.40  in_max_vars:               9
% 0.19/0.40  in_extaxiom_count:               142
% 0.19/0.40  in_axiom_count:                    0
% 0.19/0.40  in_assumption_count:               0
% 0.19/0.40  in_goal_count:                     2
% 0.19/0.40  in_neg_goal_count:                 1
% 0.19/0.40  in_pos_goal_count:                 1
% 0.19/0.40  in_posunit_goal_count:             1
% 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  
% 0.19/0.40  **** run 7 fork 6 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.40  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.40  
% 0.19/0.40  **** run 8 fork 7 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.19/0.46  
% 0.19/0.46  fork 3: search finished without proof.
% 0.19/0.49  
% 0.19/0.49  **** run 12 fork 3 starts with strategy
% 0.19/0.49  {"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  fork 1: search finished without proof.
% 0.19/0.54  
% 0.19/0.54  fork 2: search finished without proof.
% 0.19/0.55  
% 0.19/0.55  
% 0.19/0.55  fork 4: search terminated without proof.
% 0.19/0.55  
% 0.19/0.55  **** run 10 fork 1 starts with strategy
% 0.19/0.55  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.19/0.56  
% 0.19/0.56  **** run 11 fork 2 starts with strategy
% 0.19/0.56  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.57  
% 0.19/0.57  **** run 13 fork 4 starts with strategy
% 0.19/0.57  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.19/0.62  
% 0.19/0.62  
% 0.19/0.62  fork 3: search terminated without proof.
% 0.19/0.64  
% 0.19/0.64  **** run 20 fork 3 starts with strategy
% 0.19/0.64  {"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  
% 0.19/0.67  result: proof found
% 0.19/0.67  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.67  by run 13 fork 4 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1,"weight_select_ratio":1,"depth_penalty":50,"length_penalty":100}
% 0.19/0.67  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.67  
% 0.19/0.67  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.67  fof('$inc_subset_$sk', plain, ((~subset(X2,X1) | (member(X3,X1) | ~member(X3,X2))) & (subset(X5,X4) | (~member($sk43(X4,X5),X4) & member($sk43(X4,X5),X5)))),
% 0.19/0.67    inference(negpush_and_skolemize,[],['$inc_subset'])).
% 0.19/0.67  fof('$inc_subset', axiom, (! [A,B] : (subset(A,B) <=> (! [X] : (member(X,A) => member(X,B))))),
% 0.19/0.67    input). 
% 0.19/0.67  fof('$inc_image2_$sk', plain, ((~member(X3,image2(X1,X2)) | (apply(X1,$sk19(X1,X2,X3),X3) & member($sk19(X1,X2,X3),X2))) & (member(X6,image2(X4,X5)) | (~apply(X4,X7,X6) | ~member(X7,X5)))),
% 0.19/0.67    inference(negpush_and_skolemize,[],['$inc_image2'])).
% 0.19/0.67  fof('$inc_image2', axiom, (! [F,A,Y] : (member(Y,image2(F,A)) <=> (? [X] : (member(X,A) & apply(F,X,Y))))),
% 0.19/0.67    input). 
% 0.19/0.67  fof('$inc_empty_set_$sk', plain, ~member(X1,empty_set),
% 0.19/0.67    inference(negpush_and_skolemize,[],['$inc_empty_set'])).
% 0.19/0.67  fof('$inc_empty_set', axiom, (! [X] : ~member(X,empty_set)),
% 0.19/0.67    input). 
% 0.19/0.67  fof('$inc_equal_set_$sk', plain, ((~equal_set(X2,X1) | (subset(X1,X2) & subset(X2,X1))) & (equal_set(X4,X3) | (~subset(X3,X4) | ~subset(X4,X3)))),
% 0.19/0.67    inference(negpush_and_skolemize,[],['$inc_equal_set'])).
% 0.19/0.67  fof('$inc_equal_set', axiom, (! [A,B] : (equal_set(A,B) <=> (subset(A,B) & subset(B,A)))),
% 0.19/0.67    input). 
% 0.19/0.67  fof('thIIa12_$sk', plain, (~equal_set(image2($sk3,empty_set),empty_set) & maps($sk3,$sk1,$sk2)),
% 0.19/0.67    inference(negpush_and_skolemize,[],['thIIa12'])).
% 0.19/0.67  fof('thIIa12', conjecture, (! [F,A,B] : (maps(F,A,B) => equal_set(image2(F,empty_set),empty_set))),
% 0.19/0.67    input). 
% 0.19/0.67  cnf('1', plain, (member($sk43(X,Y),Y) | subset(Y,X)),
% 0.19/0.67    inference(cnf_transformation,[],['$inc_subset_$sk'])).
% 0.19/0.67  cnf('2', plain, (member($sk19(X,Y,Z),Y) | ~member(Z,image2(X,Y))),
% 0.19/0.67    inference(cnf_transformation,[],['$inc_image2_$sk'])).
% 0.19/0.67  cnf('3', plain, (member($sk19(X,Y,$sk43(Z,image2(X,Y))),Y) | subset(image2(X,Y),Z)),
% 0.19/0.67    inference(resolution,[],['1','2'])).
% 0.19/0.67  cnf('4', plain, (~member(X,empty_set)),
% 0.19/0.67    inference(cnf_transformation,[],['$inc_empty_set_$sk'])).
% 0.19/0.67  cnf('5', plain, (subset(image2(X,empty_set),Y)),
% 0.19/0.67    inference(resolution,[],['3','4'])).
% 0.19/0.67  cnf('6', plain, (subset(empty_set,X)),
% 0.19/0.67    inference(resolution,[],['1','4'])).
% 0.19/0.67  cnf('7', plain, (~subset(X,Y) | ~subset(Y,X) | equal_set(Y,X)),
% 0.19/0.67    inference(cnf_transformation,[],['$inc_equal_set_$sk'])).
% 0.19/0.67  cnf('8', plain, (~subset(X,empty_set) | equal_set(X,empty_set)),
% 0.19/0.67    inference(resolution,[],['6','7'])).
% 0.19/0.67  cnf('9', plain, (~equal_set(image2($sk3,empty_set),empty_set)),
% 0.19/0.67    inference(cnf_transformation,[],['thIIa12_$sk'])).
% 0.19/0.67  cnf('10', plain, ($false),
% 0.19/0.67    inference(resolution,[then_simplify],['5','8','9'])).
% 0.19/0.67  
% 0.19/0.67  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.67  
% 0.19/0.67  run 13 fork 4 statistics:
% 0.19/0.67  ----------------------------------
% 0.19/0.67  this run seconds: 0.078530
% 0.19/0.67  total seconds: 0.269778
% 0.19/0.67  stat_given_used: 636
% 0.19/0.67  stat_given_used_at_endgame: 0
% 0.19/0.67  stat_given_candidates:   1021
% 0.19/0.67  stat_given_candidates_at_endgame: 0
% 0.19/0.67  stat_given_candidates_h: 0
% 0.19/0.67  stat_binres_derived_cl:   7268
% 0.19/0.67  stat_binres_derived_cl_h: 0
% 0.19/0.67  stat_factor_derived_cl: 104
% 0.19/0.67  stat_para_derived_cl: 19
% 0.19/0.67  stat_tautologies_discarded: 35
% 0.19/0.67  stat_forward_subsumed: 114
% 0.19/0.67  stat_derived_cut: 12
% 0.19/0.67  stat_derived_rewritten: 0
% 0.19/0.67  stat_weight_discarded_building: 0
% 0.19/0.67  stat_weight_discarded_cl: 2192
% 0.19/0.67  stat_internlimit_discarded_cl: 0
% 0.19/0.67  stat_simplified:  5 simplified 0 derived 0 given
% 0.19/0.67  stat_kept_cl: 5006
% 0.19/0.67  stat_built_cl: 8475
% 0.19/0.67  stat_hyperres_partial_cl: 0
% 0.19/0.67  stat_made_rewriters: 0
% 0.19/0.67  stat_backward_subsumed: 0
% 0.19/0.67  stat_propagated_subsumed: 0
% 0.19/0.67  stat_clsubs_attempted:                     24653
% 0.19/0.67  stat_clsubs_fact_groundunit_found:             2
% 0.19/0.67  stat_clsubs_rule_groundunit_found:             1
% 0.19/0.67  stat_clsubs_top_meta_attempted:             269827
% 0.19/0.67  stat_clsubs_top_meta_failed:                245174
% 0.19/0.67  stat_clsubs_top_meta_nonpref_attempted:              269827
% 0.19/0.67  stat_clsubs_top_meta_nonpref_succeeded:               83991
% 0.19/0.67  stat_clsubs_top_meta_pref_attempted:                  83991
% 0.19/0.67  stat_clsubs_top_meta_pref1_succeeded:                 29955
% 0.19/0.67  stat_clsubs_top_meta_pref2_succeeded:                 24699
% 0.19/0.67  stat_clsubs_top_meta_pref3_succeeded:                 24653
% 0.19/0.67  stat_clsubs_top_meta_pref_succeeded:                  24653
% 0.19/0.67  stat_clsubs_meta_attempted:                49512
% 0.19/0.67  stat_clsubs_meta_failed:                   23139
% 0.19/0.67  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.67  stat_clsubs_unit_attempted:                18409
% 0.19/0.67  stat_clsubs_full_attempted:                 6244
% 0.19/0.67  stat_forwardsubs_attempted:                 7313
% 0.19/0.67  stat_lit_hash_added:                   6088
% 0.19/0.67  stat_lit_hash_computed:               47864
% 0.19/0.67  stat_lit_hash_match_found:              132
% 0.19/0.67  stat_lit_hash_match_miss:             62516
% 0.19/0.67  stat_lit_hash_cut_ok:                    11
% 0.19/0.67  stat_lit_strong_cut_ok:                   4
% 0.19/0.67  stat_lit_hash_subsume_ok:               114
% 0.19/0.67  clqueue els 10000000 used 1
% 0.19/0.67  clactive els 10000000 used 637
% 0.19/0.67  clactivesubsume els 10000000 used 3751
% 0.19/0.67  queue_termbuf els 200000000 used 405722
% 0.19/0.67  hyper_termbuf els 100000000 used 1
% 0.19/0.67  active_termbuf els 100000000 used 32521
% 0.19/0.67  varstack els 5000 last used 1
% 0.19/0.67  given_termbuf els 10000000 last used 1
% 0.19/0.67  simplified_termbuf els 10000000 last used 1
% 0.19/0.67  derived_termbuf els 10000000 last used 29
% 0.19/0.67  wr_mallocs: 10318
% 0.19/0.67  wr_callocs: 21
% 0.19/0.67  wr_reallocs: 945
% 0.19/0.67  wr_frees: 4
% 0.19/0.67  wr_malloc_bytes: 4163028820
% 0.19/0.67  wr_calloc_bytes: 112065536
% 0.19/0.67  wr_realloc_bytes: 201504
% 0.19/0.67  wr_realloc_freebytes: 0
% 0.19/0.67  ----------------------------------
% 0.19/0.67  
% 0.19/0.67  
% 0.19/0.67  result: proof found
% 0.19/0.67  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.67  by run 6 fork 5 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.67  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.67  
% 0.19/0.67  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.67  fof('$inc_subset_$sk', plain, ((~subset(X2,X1) | (member(X3,X1) | ~member(X3,X2))) & (subset(X5,X4) | (~member($sk43(X4,X5),X4) & member($sk43(X4,X5),X5)))),
% 0.19/0.67    inference(negpush_and_skolemize,[],['$inc_subset'])).
% 0.19/0.67  fof('$inc_subset', axiom, (! [A,B] : (subset(A,B) <=> (! [X] : (member(X,A) => member(X,B))))),
% 0.19/0.67    input). 
% 0.19/0.67  fof('$inc_empty_set_$sk', plain, ~member(X1,empty_set),
% 0.19/0.67    inference(negpush_and_skolemize,[],['$inc_empty_set'])).
% 0.19/0.67  fof('$inc_empty_set', axiom, (! [X] : ~member(X,empty_set)),
% 0.19/0.67    input). 
% 0.19/0.67  fof('$inc_equal_set_$sk', plain, ((~equal_set(X2,X1) | (subset(X1,X2) & subset(X2,X1))) & (equal_set(X4,X3) | (~subset(X3,X4) | ~subset(X4,X3)))),
% 0.19/0.67    inference(negpush_and_skolemize,[],['$inc_equal_set'])).
% 0.19/0.67  fof('$inc_equal_set', axiom, (! [A,B] : (equal_set(A,B) <=> (subset(A,B) & subset(B,A)))),
% 0.19/0.67    input). 
% 0.19/0.67  fof('$inc_image2_$sk', plain, ((~member(X3,image2(X1,X2)) | (apply(X1,$sk19(X1,X2,X3),X3) & member($sk19(X1,X2,X3),X2))) & (member(X6,image2(X4,X5)) | (~apply(X4,X7,X6) | ~member(X7,X5)))),
% 0.19/0.67    inference(negpush_and_skolemize,[],['$inc_image2'])).
% 0.19/0.67  fof('$inc_image2', axiom, (! [F,A,Y] : (member(Y,image2(F,A)) <=> (? [X] : (member(X,A) & apply(F,X,Y))))),
% 0.19/0.67    input). 
% 0.19/0.67  fof('thIIa12_$sk', plain, (~equal_set(image2($sk3,empty_set),empty_set) & maps($sk3,$sk1,$sk2)),
% 0.19/0.67    inference(negpush_and_skolemize,[],['thIIa12'])).
% 0.19/0.67  fof('thIIa12', conjecture, (! [F,A,B] : (maps(F,A,B) => equal_set(image2(F,empty_set),empty_set))),
% 0.19/0.67    input). 
% 0.19/0.67  cnf('1', plain, (member($sk43(X,Y),Y) | subset(Y,X)),
% 0.19/0.67    inference(cnf_transformation,[],['$inc_subset_$sk'])).
% 0.19/0.67  cnf('2', plain, (~member(X,empty_set)),
% 0.19/0.67    inference(cnf_transformation,[],['$inc_empty_set_$sk'])).
% 0.19/0.67  cnf('3', plain, (subset(empty_set,X)),
% 0.19/0.67    inference(resolution,[],['1','2'])).
% 0.19/0.67  cnf('4', plain, (~subset(X,Y) | ~subset(Y,X) | equal_set(Y,X)),
% 0.19/0.67    inference(cnf_transformation,[],['$inc_equal_set_$sk'])).
% 0.19/0.67  cnf('5', plain, (~subset(X,empty_set) | equal_set(X,empty_set)),
% 0.19/0.67    inference(resolution,[],['3','4'])).
% 0.19/0.67  cnf('6', plain, (member($sk19(X,Y,Z),Y) | ~member(Z,image2(X,Y))),
% 0.19/0.67    inference(cnf_transformation,[],['$inc_image2_$sk'])).
% 0.19/0.67  cnf('7', plain, (~member(X,image2(Y,empty_set))),
% 0.19/0.67    inference(resolution,[],['6','2'])).
% 0.19/0.67  cnf('8', plain, (subset(image2(X,empty_set),Y)),
% 0.19/0.67    inference(resolution,[],['1','7'])).
% 0.19/0.67  cnf('9', plain, (~equal_set(image2($sk3,empty_set),empty_set)),
% 0.19/0.67    inference(cnf_transformation,[],['thIIa12_$sk'])).
% 0.19/0.67  cnf('10', plain, ($false),
% 0.19/0.67    inference(resolution,[then_simplify],['5','8','9'])).
% 0.19/0.67  
% 0.19/0.67  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.67  
% 0.19/0.67  run 6 fork 5 statistics:
% 0.19/0.67  ----------------------------------
% 0.19/0.67  this run seconds: 0.018610
% 0.19/0.67  total seconds: 0.063441
% 0.19/0.67  stat_given_used: 109
% 0.19/0.67  stat_given_used_at_endgame: 0
% 0.19/0.67  stat_given_candidates:   127
% 0.19/0.67  stat_given_candidates_at_endgame: 0
% 0.19/0.67  stat_given_candidates_h: 0
% 0.19/0.67  stat_binres_derived_cl:   505
% 0.19/0.67  stat_binres_derived_cl_h: 0
% 0.19/0.67  stat_factor_derived_cl: 30
% 0.19/0.67  stat_para_derived_cl: 0
% 0.19/0.67  stat_tautologies_discarded: 0
% 0.19/0.67  stat_forward_subsumed: 11
% 0.19/0.67  stat_derived_cut: 1
% 0.19/0.67  stat_derived_rewritten: 0
% 0.19/0.67  stat_weight_discarded_building: 0
% 0.19/0.67  stat_weight_discarded_cl: 0
% 0.19/0.67  stat_internlimit_discarded_cl: 0
% 0.19/0.67  stat_simplified:  0 simplified 0 derived 0 given
% 0.19/0.67  stat_kept_cl: 520
% 0.19/0.67  stat_built_cl: 738
% 0.19/0.67  stat_hyperres_partial_cl: 0
% 0.19/0.67  stat_made_rewriters: 0
% 0.19/0.67  stat_backward_subsumed: 0
% 0.19/0.67  stat_propagated_subsumed: 0
% 0.19/0.67  stat_clsubs_attempted:                       694
% 0.19/0.67  stat_clsubs_fact_groundunit_found:             1
% 0.19/0.67  stat_clsubs_rule_groundunit_found:             1
% 0.19/0.67  stat_clsubs_top_meta_attempted:               6425
% 0.19/0.67  stat_clsubs_top_meta_failed:                  5731
% 0.19/0.67  stat_clsubs_top_meta_nonpref_attempted:                6425
% 0.19/0.67  stat_clsubs_top_meta_nonpref_succeeded:                1591
% 0.19/0.67  stat_clsubs_top_meta_pref_attempted:                   1591
% 0.19/0.67  stat_clsubs_top_meta_pref1_succeeded:                   727
% 0.19/0.67  stat_clsubs_top_meta_pref2_succeeded:                   701
% 0.19/0.67  stat_clsubs_top_meta_pref3_succeeded:                   694
% 0.19/0.67  stat_clsubs_top_meta_pref_succeeded:                    694
% 0.19/0.67  stat_clsubs_meta_attempted:                  808
% 0.19/0.67  stat_clsubs_meta_failed:                     131
% 0.19/0.67  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.67  stat_clsubs_unit_attempted:                  650
% 0.19/0.67  stat_clsubs_full_attempted:                   44
% 0.19/0.67  stat_forwardsubs_attempted:                  532
% 0.19/0.67  stat_lit_hash_added:                    425
% 0.19/0.67  stat_lit_hash_computed:                4635
% 0.19/0.67  stat_lit_hash_match_found:               15
% 0.19/0.67  stat_lit_hash_match_miss:              6413
% 0.19/0.67  stat_lit_hash_cut_ok:                     2
% 0.19/0.67  stat_lit_strong_cut_ok:                   1
% 0.19/0.67  stat_lit_hash_subsume_ok:                11
% 0.19/0.67  clqueue els 10000000 used 1
% 0.19/0.67  clactive els 10000000 used 110
% 0.19/0.67  clactivesubsume els 10000000 used 631
% 0.19/0.67  queue_termbuf els 200000000 used 37997
% 0.19/0.67  hyper_termbuf els 100000000 used 1
% 0.19/0.67  active_termbuf els 100000000 used 3098
% 0.19/0.67  varstack els 5000 last used 1
% 0.19/0.67  given_termbuf els 10000000 last used 1
% 0.19/0.67  simplified_termbuf els 10000000 last used 1
% 0.19/0.67  derived_termbuf els 10000000 last used 29
% 0.19/0.67  wr_mallocs: 1417
% 0.19/0.67  wr_callocs: 21
% 0.19/0.67  wr_reallocs: 83
% 0.19/0.67  wr_frees: 4
% 0.19/0.67  wr_malloc_bytes: 4162647412
% 0.19/0.67  wr_calloc_bytes: 112065536
% 0.19/0.67  wr_realloc_bytes: 15888
% 0.19/0.67  wr_realloc_freebytes: 0
% 0.19/0.67  ----------------------------------
%------------------------------------------------------------------------------