TSTP Solution File: SEU072+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : SEU072+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n018.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 16:57:37 EDT 2023

% Result   : Theorem 0.19s 0.49s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU072+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command  : gkc %s
% 0.12/0.34  % Computer : n018.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Wed Aug 23 20:26:42 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.19/0.39  
% 0.19/0.39  input clause set summed statistics:
% 0.19/0.39  ----------------------------------
% 0.19/0.39  in_clause_count:                    76
% 0.19/0.39  in_rule_clause_count:               54
% 0.19/0.39  in_fact_clause_count:               22
% 0.19/0.39  in_answer_clause_count:              0
% 0.19/0.39  in_ground_clause_count:             25
% 0.19/0.39  in_unit_clause_count:               32
% 0.19/0.39  in_horn_clause_count:               64
% 0.19/0.39  in_pos_clause_count:                28
% 0.19/0.39  in_neg_clause_count:                 9
% 0.19/0.39  in_poseq_clause_count:              15
% 0.19/0.39  in_negeq_clause_count:              11
% 0.19/0.39  in_unitposeq_clause_count:           0
% 0.19/0.39  in_chain_clause_count:               2
% 0.19/0.39  in_min_length:             1
% 0.19/0.39  in_max_length:             7
% 0.19/0.39  in_min_depth:              1
% 0.19/0.39  in_max_depth:              3
% 0.19/0.39  in_min_size:               2
% 0.19/0.39  in_max_size:              28
% 0.19/0.39  in_min_vars:               0
% 0.19/0.39  in_max_vars:               4
% 0.19/0.39  in_extaxiom_count:                 0
% 0.19/0.39  in_axiom_count:                   72
% 0.19/0.39  in_assumption_count:               0
% 0.19/0.39  in_goal_count:                     4
% 0.19/0.39  in_neg_goal_count:                 1
% 0.19/0.39  in_pos_goal_count:                 3
% 0.19/0.39  in_posunit_goal_count:             3
% 0.19/0.39  
% 0.19/0.39  auto guide:
% 0.19/0.39  -----------
% 0.19/0.39  {
% 0.19/0.39  "print":1,
% 0.19/0.39  "print_level": 15,
% 0.19/0.39  "max_size": 0,
% 0.19/0.39  "max_depth": 0,
% 0.19/0.39  "max_length": 0,
% 0.19/0.39  "max_dseconds": 0,
% 0.19/0.39  "runs":[
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para","prohibit_unordered_para"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1, "max_size":17},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":3},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.19/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.39  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.39  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.39  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.19/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":1},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.19/0.39  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.39  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.39  {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.19/0.39  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.19/0.39  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.19/0.39  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.19/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.19/0.39  
% 0.19/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":10, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":10, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":10, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.39  {"max_dseconds":10, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
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% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.19/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.39  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.39  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit","prohibit_unordered_para"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "rewrite":0, "length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["hardness_pref", "max_weight"], "max_dseconds":50},
% 0.19/0.39  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.39  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.39  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.19/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.39  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight","prohibit_unordered_para"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.19/0.39  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.19/0.39  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.19/0.39  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":1, "strategy":["query_focus", "prohibit_nested_para"], "max_dseconds":50},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.19/0.39  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.19/0.39  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.39  {"sine":2, "weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.19/0.39  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.19/0.39  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.19/0.39  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.19/0.39  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.19/0.39  
% 0.19/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.39  {"max_dseconds":250, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.19/0.39  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.19/0.39  {"max_dseconds":250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.19/0.39  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.19/0.39  {"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":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 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  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":250},
% 0.19/0.40  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.40  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.19/0.40  {"max_dseconds":250, "strategy":["negative_pref", "max_ground_weight"], "query_preference":0},
% 0.19/0.40  
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref", "prohibit_nested_para"], "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":1250},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["query_focus", "double"], "query_preference":1},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":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":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 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  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1250},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.19/0.40  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "sine":1} 
% 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":["unit"],"query_preference":1}
% 0.19/0.40  
% 0.19/0.40  **** run 2 fork 1 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["query_focus"],"query_preference":1}
% 0.19/0.40  
% 0.19/0.40  **** run 3 fork 2 starts with strategy
% 0.19/0.40  {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 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":1}
% 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":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.19/0.45  
% 0.19/0.45  fork 3: search finished without proof.
% 0.19/0.48  
% 0.19/0.48  **** run 12 fork 3 starts with strategy
% 0.19/0.48  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":1}
% 0.19/0.49  
% 0.19/0.49  
% 0.19/0.49  result: proof found
% 0.19/0.49  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.49  by run 3 fork 2 strategy {"max_dseconds":1,"strategy":["negative_pref"],"query_preference":1}
% 0.19/0.49  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.49  
% 0.19/0.49  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.49  fof('d5_funct_1_$sk', plain, (((~(X2 = relation_rng(X1)) | ((~in(X3,X2) | ((X3 = apply(X1,$sk15(X1,X2,X3))) & in($sk15(X1,X2,X3),relation_dom(X1)))) & (in(X4,X2) | (~(X4 = apply(X1,X5)) | ~in(X5,relation_dom(X1)))))) & ((X6 = relation_rng(X1)) | ((in($sk16(X1,X6),X6) & (~($sk16(X1,X6) = apply(X1,X7)) | ~in(X7,relation_dom(X1)))) | (~in($sk17(X1,X6),X6) & (($sk17(X1,X6) = apply(X1,$sk18(X1,X6))) & in($sk18(X1,X6),relation_dom(X1))))))) | (~function(X1) | ~relation(X1))),
% 0.19/0.49    inference(negpush_and_skolemize,[],['d5_funct_1'])).
% 0.19/0.49  fof('d5_funct_1', axiom, (! [A] : ((relation(A) & function(A)) => (! [B] : ((B = relation_rng(A)) <=> (! [C] : (in(C,B) <=> (? [D] : (in(D,relation_dom(A)) & (C = apply(A,D)))))))))),
% 0.19/0.49    input). 
% 0.19/0.49  fof('d8_funct_1_$sk', plain, (((~one_to_one(X1) | ((X3 = X2) | (~(apply(X1,X3) = apply(X1,X2)) | (~in(X2,relation_dom(X1)) | ~in(X3,relation_dom(X1)))))) & (one_to_one(X1) | (~($sk14(X1) = $sk13(X1)) & ((apply(X1,$sk14(X1)) = apply(X1,$sk13(X1))) & (in($sk13(X1),relation_dom(X1)) & in($sk14(X1),relation_dom(X1))))))) | (~function(X1) | ~relation(X1))),
% 0.19/0.49    inference(negpush_and_skolemize,[],['d8_funct_1'])).
% 0.19/0.49  fof('d8_funct_1', axiom, (! [A] : ((relation(A) & function(A)) => (one_to_one(A) <=> (! [B,C] : (((in(B,relation_dom(A)) & in(C,relation_dom(A))) & (apply(A,B) = apply(A,C))) => (B = C)))))),
% 0.19/0.49    input). 
% 0.19/0.49  fof('t153_funct_1_$sk', plain, ((~one_to_one($sk1) & subset(relation_inverse_image($sk1,relation_image($sk1,X1)),X1)) & (function($sk1) & relation($sk1))),
% 0.19/0.49    inference(negpush_and_skolemize,[],['t153_funct_1'])).
% 0.19/0.49  fof('t153_funct_1', conjecture, (! [A] : ((relation(A) & function(A)) => ((! [B] : subset(relation_inverse_image(A,relation_image(A,B)),B)) => one_to_one(A)))),
% 0.19/0.49    input). 
% 0.19/0.49  fof('t117_funct_1_$sk', plain, (((relation_image(X2,singleton(X1)) = singleton(apply(X2,X1))) | ~in(X1,relation_dom(X2))) | (~function(X2) | ~relation(X2))),
% 0.19/0.49    inference(negpush_and_skolemize,[],['t117_funct_1'])).
% 0.19/0.49  fof('t117_funct_1', axiom, (! [A,B] : ((relation(B) & function(B)) => (in(A,relation_dom(B)) => (relation_image(B,singleton(A)) = singleton(apply(B,A)))))),
% 0.19/0.49    input). 
% 0.19/0.49  fof('t39_zfmisc_1_$sk', plain, ((~subset(X2,singleton(X1)) | ((X2 = singleton(X1)) | (X2 = empty_set))) & (subset(X4,singleton(X3)) | (~(X4 = singleton(X3)) & ~(X4 = empty_set)))),
% 0.19/0.49    inference(negpush_and_skolemize,[],['t39_zfmisc_1'])).
% 0.19/0.49  fof('t39_zfmisc_1', axiom, (! [A,B] : (subset(A,singleton(B)) <=> ((A = empty_set) | (A = singleton(B))))),
% 0.19/0.49    input). 
% 0.19/0.49  fof('t6_boole_$sk', plain, ((X1 = empty_set) | ~empty(X1)),
% 0.19/0.49    inference(negpush_and_skolemize,[],['t6_boole'])).
% 0.19/0.49  fof('t6_boole', axiom, (! [A] : (empty(A) => (A = empty_set))),
% 0.19/0.49    input). 
% 0.19/0.49  fof('rc1_xboole_0_$sk', plain, empty($sk8),
% 0.19/0.49    inference(negpush_and_skolemize,[],['rc1_xboole_0'])).
% 0.19/0.49  fof('rc1_xboole_0', axiom, (? [A] : empty(A)),
% 0.19/0.49    input). 
% 0.19/0.49  fof('rc2_funct_1_$sk', plain, (function($sk7) & (empty($sk7) & relation($sk7))),
% 0.19/0.49    inference(negpush_and_skolemize,[],['rc2_funct_1'])).
% 0.19/0.49  fof('rc2_funct_1', axiom, (? [A] : ((relation(A) & empty(A)) & function(A))),
% 0.19/0.49    input). 
% 0.19/0.49  fof('t142_funct_1_$sk', plain, (((~in(X2,relation_rng(X1)) | ~(relation_inverse_image(X1,singleton(X2)) = empty_set)) & (in(X2,relation_rng(X1)) | (relation_inverse_image(X1,singleton(X2)) = empty_set))) | ~relation(X1)),
% 0.19/0.49    inference(negpush_and_skolemize,[],['t142_funct_1'])).
% 0.19/0.49  fof('t142_funct_1', axiom, (! [A,B] : (relation(B) => (in(A,relation_rng(B)) <=> ~(relation_inverse_image(B,singleton(A)) = empty_set)))),
% 0.19/0.49    input). 
% 0.19/0.49  fof('t6_zfmisc_1_$sk', plain, ((X2 = X1) | ~subset(singleton(X2),singleton(X1))),
% 0.19/0.49    inference(negpush_and_skolemize,[],['t6_zfmisc_1'])).
% 0.19/0.49  fof('t6_zfmisc_1', axiom, (! [A,B] : (subset(singleton(A),singleton(B)) => (A = B))),
% 0.19/0.49    input). 
% 0.19/0.49  cnf('1', plain, (X != apply(Y,Z) | ~in(Z,relation_dom(Y)) | U != relation_rng(Y) | in(X,U) | ~relation(Y) | ~function(Y)),
% 0.19/0.49    inference(cnf_transformation,[],['d5_funct_1_$sk'])).
% 0.19/0.49  cnf('2', plain, (apply(X,$sk14(X)) = apply(X,$sk13(X)) | ~relation(X) | ~function(X) | one_to_one(X)),
% 0.19/0.49    inference(cnf_transformation,[],['d8_funct_1_$sk'])).
% 0.19/0.49  cnf('3', plain, (relation($sk1)),
% 0.19/0.49    inference(cnf_transformation,[],['t153_funct_1_$sk'])).
% 0.19/0.49  cnf('4', plain, (function($sk1)),
% 0.19/0.49    inference(cnf_transformation,[],['t153_funct_1_$sk'])).
% 0.19/0.49  cnf('5', plain, (~one_to_one($sk1)),
% 0.19/0.49    inference(cnf_transformation,[],['t153_funct_1_$sk'])).
% 0.19/0.49  cnf('6', plain, (apply($sk1,$sk14($sk1)) = apply($sk1,$sk13($sk1))),
% 0.19/0.49    inference(resolution,[then_simplify],['2','3','4','5'])).
% 0.19/0.49  cnf('7', plain, (in($sk13(X),relation_dom(X)) | ~relation(X) | ~function(X) | one_to_one(X)),
% 0.19/0.49    inference(cnf_transformation,[],['d8_funct_1_$sk'])).
% 0.19/0.49  cnf('8', plain, (in($sk13($sk1),relation_dom($sk1))),
% 0.19/0.49    inference(resolution,[then_simplify],['7','3','4','5'])).
% 0.19/0.49  cnf('9', plain, (relation($sk1)),
% 0.19/0.49    inference(cnf_transformation,[],['t153_funct_1_$sk'])).
% 0.19/0.49  cnf('10', plain, (in(apply($sk1,$sk14($sk1)),X3) | X3 != relation_rng($sk1)),
% 0.19/0.49    inference(resolution,[then_simplify],['1','6','8','9','4'])).
% 0.19/0.49  cnf('11', plain, (in(apply($sk1,$sk13($sk1)),X) | X != relation_rng($sk1)),
% 0.19/0.49    inference(simplify,[],['10','6'])).
% 0.19/0.49  cnf('12', plain, (in(apply($sk1,$sk13($sk1)),relation_rng($sk1))),
% 0.19/0.49    inference(reflexivity,[],['11'])).
% 0.19/0.49  cnf('13', plain, (relation_image(X,singleton(Y)) = singleton(apply(X,Y)) | ~in(Y,relation_dom(X)) | ~relation(X) | ~function(X)),
% 0.19/0.49    inference(cnf_transformation,[],['t117_funct_1_$sk'])).
% 0.19/0.49  cnf('14', plain, (in($sk13($sk1),relation_dom($sk1))),
% 0.19/0.49    inference(resolution,[then_simplify],['7','3','4','5'])).
% 0.19/0.49  cnf('15', plain, (relation_image($sk1,singleton($sk13($sk1))) = singleton(apply($sk1,$sk13($sk1)))),
% 0.19/0.49    inference(resolution,[then_simplify],['13','14','9','4'])).
% 0.19/0.49  cnf('16', plain, (~subset(X0,singleton(X1)) | X0 = singleton(X1) | X0 = empty_set),
% 0.19/0.49    inference(cnf_transformation,[],['t39_zfmisc_1_$sk'])).
% 0.19/0.49  cnf('17', plain, (X = empty_set | ~empty(X)),
% 0.19/0.49    inference(cnf_transformation,[],['t6_boole_$sk'])).
% 0.19/0.49  cnf('18', plain, (empty($sk8)),
% 0.19/0.49    inference(cnf_transformation,[],['rc1_xboole_0_$sk'])).
% 0.19/0.49  cnf('19', plain, ($sk8 = empty_set),
% 0.19/0.49    inference(resolution,[],['17','18'])).
% 0.19/0.49  cnf('20', plain, (empty($sk7)),
% 0.19/0.49    inference(cnf_transformation,[],['rc2_funct_1_$sk'])).
% 0.19/0.49  cnf('21', plain, ($sk7 = empty_set),
% 0.19/0.49    inference(resolution,[],['17','20'])).
% 0.19/0.49  cnf('22', plain, ($sk7 = $sk8),
% 0.19/0.49    inference(simplify,[],['21','19'])).
% 0.19/0.49  cnf('23', plain, (~subset(X,singleton(Y)) | X = singleton(Y) | X = $sk7),
% 0.19/0.49    inference(simplify,[then_simplify],['16','19','22'])).
% 0.19/0.49  cnf('24', plain, (subset(relation_inverse_image($sk1,relation_image($sk1,X)),X)),
% 0.19/0.49    inference(cnf_transformation,[],['t153_funct_1_$sk'])).
% 0.19/0.49  cnf('25', plain, (relation_inverse_image($sk1,relation_image($sk1,singleton(X))) = singleton(X) | relation_inverse_image($sk1,relation_image($sk1,singleton(X))) = $sk7),
% 0.19/0.49    inference(resolution,[],['23','24'])).
% 0.19/0.49  cnf('26', plain, (relation_inverse_image($sk1,singleton(apply($sk1,$sk13($sk1)))) = singleton($sk13($sk1)) | relation_inverse_image($sk1,relation_image($sk1,singleton($sk13($sk1)))) = $sk7),
% 0.19/0.49    inference(paramodulation,[],['15','25'])).
% 0.19/0.49  cnf('27', plain, (relation_inverse_image($sk1,singleton(apply($sk1,$sk13($sk1)))) = singleton($sk13($sk1)) | relation_inverse_image($sk1,singleton(apply($sk1,$sk13($sk1)))) = $sk7),
% 0.19/0.49    inference(simplify,[],['26','15'])).
% 0.19/0.49  cnf('28', plain, (in($sk14(X),relation_dom(X)) | ~relation(X) | ~function(X) | one_to_one(X)),
% 0.19/0.49    inference(cnf_transformation,[],['d8_funct_1_$sk'])).
% 0.19/0.49  cnf('29', plain, (in($sk14($sk1),relation_dom($sk1))),
% 0.19/0.49    inference(resolution,[then_simplify],['28','3','4','5'])).
% 0.19/0.49  cnf('30', plain, (relation_image($sk1,singleton($sk14($sk1))) = singleton(apply($sk1,$sk14($sk1)))),
% 0.19/0.49    inference(resolution,[then_simplify],['13','29','9','4'])).
% 0.19/0.49  cnf('31', plain, (relation_image($sk1,singleton($sk14($sk1))) = singleton(apply($sk1,$sk13($sk1)))),
% 0.19/0.49    inference(simplify,[],['30','6'])).
% 0.19/0.49  cnf('32', plain, (subset(relation_inverse_image($sk1,singleton(apply($sk1,$sk13($sk1)))),singleton($sk14($sk1)))),
% 0.19/0.49    inference(paramodulation,[],['31','24'])).
% 0.19/0.49  cnf('33', plain, (relation_inverse_image($sk1,singleton(apply($sk1,$sk13($sk1)))) = $sk7 | subset(singleton($sk13($sk1)),singleton($sk14($sk1)))),
% 0.19/0.49    inference(paramodulation,[],['27','32'])).
% 0.19/0.49  cnf('34', plain, (relation_inverse_image(X1,singleton(X0)) != empty_set | ~in(X0,relation_rng(X1)) | ~relation(X1)),
% 0.19/0.49    inference(cnf_transformation,[],['t142_funct_1_$sk'])).
% 0.19/0.49  cnf('35', plain, (relation_inverse_image(X,singleton(Y)) != $sk7 | ~in(Y,relation_rng(X)) | ~relation(X)),
% 0.19/0.49    inference(simplify,[then_simplify],['34','19','22'])).
% 0.19/0.49  cnf('36', plain, (~in(apply($sk1,$sk13($sk1)),relation_rng($sk1)) | subset(singleton($sk13($sk1)),singleton($sk14($sk1)))),
% 0.19/0.49    inference(resolution,[then_simplify],['33','35','9'])).
% 0.19/0.49  cnf('37', plain, (subset(singleton($sk13($sk1)),singleton($sk14($sk1)))),
% 0.19/0.49    inference(resolution,[],['12','36'])).
% 0.19/0.49  cnf('38', plain, (~subset(singleton(X),singleton(Y)) | X = Y),
% 0.19/0.49    inference(cnf_transformation,[],['t6_zfmisc_1_$sk'])).
% 0.19/0.49  cnf('39', plain, ($sk13($sk1) = $sk14($sk1)),
% 0.19/0.49    inference(resolution,[],['37','38'])).
% 0.19/0.49  cnf('40', plain, ($sk14(X) != $sk13(X) | ~relation(X) | ~function(X) | one_to_one(X)),
% 0.19/0.49    inference(cnf_transformation,[],['d8_funct_1_$sk'])).
% 0.19/0.49  cnf('41', plain, ($false),
% 0.19/0.49    inference(paramodulation,[then_simplify],['39','40','9','4','5'])).
% 0.19/0.49  
% 0.19/0.49  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.49  
% 0.19/0.49  run 3 fork 2 statistics:
% 0.19/0.49  ----------------------------------
% 0.19/0.49  this run seconds: 0.024821
% 0.19/0.49  total seconds: 0.062050
% 0.19/0.49  stat_given_used: 233
% 0.19/0.49  stat_given_used_at_endgame: 0
% 0.19/0.49  stat_given_candidates:   577
% 0.19/0.49  stat_given_candidates_at_endgame: 0
% 0.19/0.49  stat_given_candidates_h: 0
% 0.19/0.49  stat_binres_derived_cl:   710
% 0.19/0.49  stat_binres_derived_cl_h: 0
% 0.19/0.49  stat_factor_derived_cl: 9
% 0.19/0.49  stat_para_derived_cl: 425
% 0.19/0.49  stat_tautologies_discarded: 5
% 0.19/0.49  stat_forward_subsumed: 408
% 0.19/0.49  stat_derived_cut: 107
% 0.19/0.49  stat_derived_rewritten: 23
% 0.19/0.49  stat_weight_discarded_building: 0
% 0.19/0.49  stat_weight_discarded_cl: 0
% 0.19/0.49  stat_internlimit_discarded_cl: 0
% 0.19/0.49  stat_simplified:  23 simplified 0 derived 0 given
% 0.19/0.49  stat_kept_cl: 667
% 0.19/0.49  stat_built_cl: 1156
% 0.19/0.49  stat_hyperres_partial_cl: 0
% 0.19/0.49  stat_made_rewriters: 16
% 0.19/0.49  stat_backward_subsumed: 0
% 0.19/0.49  stat_propagated_subsumed: 0
% 0.19/0.49  stat_clsubs_attempted:                       603
% 0.19/0.49  stat_clsubs_fact_groundunit_found:            28
% 0.19/0.49  stat_clsubs_rule_groundunit_found:            14
% 0.19/0.49  stat_clsubs_top_meta_attempted:              14316
% 0.19/0.49  stat_clsubs_top_meta_failed:                 13713
% 0.19/0.49  stat_clsubs_top_meta_nonpref_attempted:               14316
% 0.19/0.49  stat_clsubs_top_meta_nonpref_succeeded:                5239
% 0.19/0.49  stat_clsubs_top_meta_pref_attempted:                   5239
% 0.19/0.49  stat_clsubs_top_meta_pref1_succeeded:                  1561
% 0.19/0.49  stat_clsubs_top_meta_pref2_succeeded:                   683
% 0.19/0.49  stat_clsubs_top_meta_pref3_succeeded:                   603
% 0.19/0.49  stat_clsubs_top_meta_pref_succeeded:                    603
% 0.19/0.49  stat_clsubs_meta_attempted:                 1111
% 0.19/0.49  stat_clsubs_meta_failed:                     262
% 0.19/0.49  stat_clsubs_predsymbs_attempted:               0
% 0.19/0.49  stat_clsubs_unit_attempted:                  379
% 0.19/0.49  stat_clsubs_full_attempted:                  224
% 0.19/0.49  stat_forwardsubs_attempted:                 1076
% 0.19/0.49  stat_lit_hash_added:                    974
% 0.19/0.49  stat_lit_hash_computed:                4793
% 0.19/0.49  stat_lit_hash_match_found:              812
% 0.19/0.49  stat_lit_hash_match_miss:              4901
% 0.19/0.49  stat_lit_hash_cut_ok:                   290
% 0.19/0.49  stat_lit_strong_cut_ok:                   8
% 0.19/0.49  stat_lit_hash_subsume_ok:               408
% 0.19/0.49  clqueue els 10000000 used 1
% 0.19/0.49  clactive els 10000000 used 234
% 0.19/0.49  clactivesubsume els 10000000 used 571
% 0.19/0.49  queue_termbuf els 200000000 used 37726
% 0.19/0.49  hyper_termbuf els 100000000 used 1
% 0.19/0.49  active_termbuf els 100000000 used 6396
% 0.19/0.49  varstack els 5000 last used 1
% 0.19/0.49  given_termbuf els 10000000 last used 1
% 0.19/0.49  simplified_termbuf els 10000000 last used 1
% 0.19/0.49  derived_termbuf els 10000000 last used 61
% 0.19/0.49  wr_mallocs: 3616
% 0.19/0.49  wr_callocs: 21
% 0.19/0.49  wr_reallocs: 195
% 0.19/0.49  wr_frees: 2
% 0.19/0.49  wr_malloc_bytes: 4162708260
% 0.19/0.49  wr_calloc_bytes: 112065536
% 0.19/0.49  wr_realloc_bytes: 25136
% 0.19/0.49  wr_realloc_freebytes: 0
% 0.19/0.49  ----------------------------------
%------------------------------------------------------------------------------