TSTP Solution File: LCL525+1 by GKC---0.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : GKC---0.8
% Problem  : LCL525+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : gkc %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Thu Aug 31 07:39:37 EDT 2023

% Result   : Theorem 0.20s 0.53s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL525+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command  : gkc %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 07:12:32 EDT 2023
% 0.13/0.35  % CPUTime  : 
% 0.20/0.44  
% 0.20/0.44  input clause set summed statistics:
% 0.20/0.44  ----------------------------------
% 0.20/0.44  in_clause_count:                   146
% 0.20/0.44  in_rule_clause_count:              146
% 0.20/0.44  in_fact_clause_count:                0
% 0.20/0.44  in_answer_clause_count:              0
% 0.20/0.44  in_ground_clause_count:             88
% 0.20/0.44  in_unit_clause_count:               30
% 0.20/0.44  in_horn_clause_count:              137
% 0.20/0.44  in_pos_clause_count:                38
% 0.20/0.44  in_neg_clause_count:                 1
% 0.20/0.44  in_poseq_clause_count:              11
% 0.20/0.44  in_negeq_clause_count:               2
% 0.20/0.44  in_unitposeq_clause_count:           0
% 0.20/0.44  in_chain_clause_count:               0
% 0.20/0.44  in_min_length:             1
% 0.20/0.44  in_max_length:             4
% 0.20/0.44  in_min_depth:              1
% 0.20/0.44  in_max_depth:              5
% 0.20/0.44  in_min_size:               2
% 0.20/0.44  in_max_size:              17
% 0.20/0.44  in_min_vars:               0
% 0.20/0.44  in_max_vars:               3
% 0.20/0.44  in_extaxiom_count:               139
% 0.20/0.44  in_axiom_count:                    6
% 0.20/0.44  in_assumption_count:               0
% 0.20/0.44  in_goal_count:                     1
% 0.20/0.44  in_neg_goal_count:                 1
% 0.20/0.44  in_pos_goal_count:                 0
% 0.20/0.44  in_posunit_goal_count:             0
% 0.20/0.44  
% 0.20/0.44  auto guide:
% 0.20/0.44  -----------
% 0.20/0.44  {
% 0.20/0.44  "print":1,
% 0.20/0.44  "print_level": 15,
% 0.20/0.44  "max_size": 0,
% 0.20/0.44  "max_depth": 0,
% 0.20/0.44  "max_length": 0,
% 0.20/0.44  "max_dseconds": 0,
% 0.20/0.44  "runs":[
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "sine":3, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref","prohibit_deep_para"], "query_preference":0, "rewrite":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.44  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.44  {"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},
% 0.20/0.44  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.44  {"max_depth":0, "length_penalty":100, "query_preference":2, "strategy":["hardness_pref", "posunitpara","prohibit_unordered_para"], "max_dseconds":1},
% 0.20/0.44  {"weight_select_ratio":100, "query_preference":1, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.44  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":6, "var_weight":1},
% 0.20/0.44  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.44  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50,  "sine":3, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus", "positive_pref"], "query_preference":1},
% 0.20/0.44  {"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},
% 0.20/0.44  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.44  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.44  {"max_dseconds":1, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.44  {"max_dseconds":1, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.20/0.44  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.44  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.44  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":1},
% 0.20/0.44  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.44  {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":1},
% 0.20/0.44  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":1},
% 0.20/0.44  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.44  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.44  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.20/0.45  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.45  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.45  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["unit"], "query_preference":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.45  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.45  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.45  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.20/0.45  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.45  {"max_dseconds":1, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.45  {"max_dseconds":1, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.45  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.45  {"max_dseconds":1, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.45  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":1},
% 0.20/0.45  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.20/0.45  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1},
% 0.20/0.45  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.45  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.45  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.20/0.45  {"max_dseconds":1, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.20/0.45  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.20/0.45  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":1},
% 0.20/0.45  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":1},
% 0.20/0.45  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.45  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":1},
% 0.20/0.45  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.45  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.20/0.45  {"max_dseconds":1, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.45  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.45  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":1},
% 0.20/0.45  {"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},
% 0.20/0.45  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":1},
% 0.20/0.45  {"max_dseconds":1, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.20/0.45  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":1},
% 0.20/0.45  {"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},
% 0.20/0.45  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":1, "sine":2},
% 0.20/0.45  
% 0.20/0.45  {"max_dseconds":10, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":10, "sine":3, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":10, "sine":5, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":10, "sine":5, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":10, "strategy":["negative_pref","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.45  {"max_dseconds":10, "strategy":["hardness_pref","prohibit_unordered_para"], "query_preference":1},
% 0.20/0.45  {"max_dseconds":10, "strategy":["unit","prohibit_unordered_para","prohibit_deep_para"], "query_preference":0},
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% 0.20/0.45  {"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},
% 0.20/0.45  {"max_depth":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.45  {"depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.45  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":0, "depth_penalty":50, "length_penalty":100},
% 0.20/0.45  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "max_depth":2},
% 0.20/0.45  {"max_dseconds":50, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":50, "sine":4, "strategy":["hardness_pref", "max_ground_weight"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":50, "strategy":["negative_pref", "max_ground_weight"], "query_preference":1},
% 0.20/0.45  {"weight_select_ratio":20, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.45  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.45  {"length_penalty":100, "depth_penalty":100, "query_preference":0, "strategy":["negative_pref", "hornpref", "max_weight"], "max_depth":2, "max_dseconds":50},
% 0.20/0.45  {"depth_penalty":50, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.45  {"depth_penalty":50, "sine":3, "query_preference":1, "strategy":["hardness_pref", "hornpref", "max_weight"], "max_dseconds":50},
% 0.20/0.45  {"rewrite":0, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "hornpref"], "max_dseconds":50},
% 0.20/0.45  {"sine":1, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "depth_penalty":50, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.20/0.45  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.45  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "weight_select_ratio":30, "depth_penalty":100, "length_penalty":100},
% 0.20/0.45  {"length_penalty":100, "query_preference":1, "strategy":["positive_pref", "posunitpara"], "max_dseconds":50},
% 0.20/0.45  {"sine":2, "query_preference":0, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.45  {"weight_select_ratio":100, "rewrite":0, "depth_penalty":100, "query_preference":0, "strategy":["unit", "posunitpara"], "max_dseconds":50},
% 0.20/0.45  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":1},
% 0.20/0.45  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1},
% 0.20/0.45  {"max_dseconds":50, "strategy":["unit"], "query_preference":1},
% 0.20/0.45  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":1},
% 0.20/0.45  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "max_size":30, "max_depth":10, "max_weight":300, "weight_select_ratio":1, "rewrite":0},
% 0.20/0.45  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2},
% 0.20/0.45  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":100, "depth_penalty":100, "length_penalty":100},
% 0.20/0.45  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "sine":1},
% 0.20/0.45  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100, "sine":1},
% 0.20/0.45  {"max_dseconds":50, "strategy":["query_focus", "max_ground_weight"], "query_preference":1},
% 0.20/0.45  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "rewrite":0},
% 0.20/0.45  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":100, "repeat_var_weight":1},
% 0.20/0.45  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.45  {"max_dseconds":50, "sine":5, "strategy":["negative_pref"], "query_preference":0, "max_depth":4},
% 0.20/0.45  {"max_dseconds":50, "strategy":["unit", "prohibit_nested_para"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.45  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":2},
% 0.20/0.45  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "var_weight":1, "depth_penalty":100, "repeat_var_weight":1},
% 0.20/0.45  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1, "length_penalty":100},
% 0.20/0.45  {"max_dseconds":50, "strategy":["negative_pref", "prohibit_nested_para"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "query_preference":0},
% 0.20/0.45  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_dseconds":50},
% 0.20/0.45  {"sine":1, "var_weight":70, "repeat_var_weight":70, "length_penalty":100, "query_preference":2, "strategy":["unit"], "max_depth":2, "max_dseconds":50},
% 0.20/0.45  {"max_dseconds":50, "strategy":["query_focus", "double"], "query_preference":1},
% 0.20/0.45  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "depth_penalty":100, "sine":1},
% 0.20/0.45  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":2, "sine":1},
% 0.20/0.45  {"max_dseconds":50, "strategy":["query_focus", "unit"], "query_preference":0, "sine":2},
% 0.20/0.45  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50},
% 0.20/0.45  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.20/0.45  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "rewrite":0},
% 0.20/0.45  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "sine":1},
% 0.20/0.45  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.45  {"max_dseconds":50, "strategy":["query_focus"], "query_preference":1, "sine":1},
% 0.20/0.45  {"max_dseconds":50, "strategy":["unit", "pure_unit"], "weight_select_ratio":1, "query_preference":0},
% 0.20/0.45  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":0, "strategy":["query_focus", "posunitpara"], "max_dseconds":50},
% 0.20/0.45  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":0, "max_depth":2},
% 0.20/0.45  {"max_dseconds":50, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100, "sine":2},
% 0.20/0.45  {"sine":1, "var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.20/0.45  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "rewrite":0, "query_preference":1, "strategy":["query_focus", "max_weight"], "max_dseconds":50},
% 0.20/0.45  {"weight_select_ratio":100, "query_preference":0, "strategy":["negative_pref", "max_weight"], "max_dseconds":50},
% 0.20/0.45  {"sine":1, "rewrite":0, "length_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.45  {"weight_select_ratio":100, "var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["hardness_pref"], "max_dseconds":50},
% 0.20/0.45  {"var_weight":70, "repeat_var_weight":70, "depth_penalty":50, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.20/0.45  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["positive_pref", "unit"], "max_dseconds":50},
% 0.20/0.45  {"max_dseconds":50, "strategy":["hardness_pref", "posunitpara"], "query_preference":1, "sine":1},
% 0.20/0.45  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "equality":0},
% 0.20/0.45  {"max_dseconds":50, "strategy":["positive_pref"], "query_preference":0, "reverse_clauselist":1},
% 0.20/0.45  {"var_weight":70, "repeat_var_weight":70, "query_preference":0, "strategy":["positive_pref"], "max_dseconds":50},
% 0.20/0.45  {"max_dseconds":50, "strategy":["negative_pref"], "query_preference":1, "var_weight":1, "repeat_var_weight":1},
% 0.20/0.45  {"max_dseconds":50, "strategy":["query_focus", "posunitpara"], "query_preference":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.45  {"var_weight":70, "repeat_var_weight":70, "length_penalty":100, "depth_penalty":100, "query_preference":1, "strategy":["query_focus"], "max_dseconds":50},
% 0.20/0.45  {"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},
% 0.20/0.45  {"query_preference":1, "strategy":["unit", "max_weight"], "max_dseconds":50},
% 0.20/0.45  {"max_dseconds":50, "strategy":["unit"], "query_preference":0, "max_depth":4},
% 0.20/0.45  {"sine":1, "rewrite":0, "depth_penalty":50, "query_preference":2, "strategy":["hardness_pref", "posunitpara"], "max_dseconds":50},
% 0.20/0.45  {"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},
% 0.20/0.45  {"depth_penalty":50, "query_preference":2, "strategy":["negative_pref"], "max_dseconds":50, "sine":2},
% 0.20/0.45  
% 0.20/0.45  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.45  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.45  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.45  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.45  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.45  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.45  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.45  {"max_dseconds":250, "strategy":["unit"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.20/0.45  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.45  {"max_dseconds":250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.45  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.45  {"max_dseconds":250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.45  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.45  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.45  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.45  {"max_dseconds":250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.45  {"max_dseconds":250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.45  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.45  {"max_dseconds":250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.45  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":250},
% 0.20/0.45  {"max_dseconds":250, "strategy":["unit"], "query_preference":1, "max_depth":2},
% 0.20/0.45  
% 0.20/0.45  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "depth_penalty":100},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "reverse_clauselist":1},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "sine":1},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["query_focus", "positive_pref"], "query_preference":0},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "sine":2},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "sine":1},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["unit"], "query_preference":0, "depth_penalty":100},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "weight_select_ratio":20, "depth_penalty":50, "length_penalty":100},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["hardness_pref"], "query_preference":0, "rewrite":0},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "weight_select_ratio":1, "depth_penalty":50, "length_penalty":100},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "length_penalty":100},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":3},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["query_focus"], "query_preference":1, "var_weight":1, "weight_select_ratio":30, "depth_penalty":100},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["negative_pref", "posunitpara"], "query_preference":1, "max_depth":2, "depth_penalty":50, "length_penalty":100},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":0, "max_depth":1},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["negative_pref"], "query_preference":1, "sine":2},
% 0.20/0.45  {"sine":1, "var_weight":70, "repeat_var_weight":70, "query_preference":2, "strategy":["unit"], "max_dseconds":1250},
% 0.20/0.45  {"max_dseconds":1250, "strategy":["unit"], "query_preference":1, "max_depth":2} 
% 0.20/0.45  
% 0.20/0.45  ]}
% 0.20/0.45  
% 0.20/0.45  
% 0.20/0.45  **** run 1 fork 0 starts with strategy
% 0.20/0.45  {"max_dseconds":1,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.45  
% 0.20/0.45  **** run 2 fork 1 starts with strategy
% 0.20/0.45  {"max_dseconds":1,"sine":3,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.45  
% 0.20/0.45  **** run 3 fork 2 starts with strategy
% 0.20/0.45  {"max_dseconds":1,"sine":5,"strategy":["hardness_pref"],"query_preference":0}
% 0.20/0.46  
% 0.20/0.46  **** run 4 fork 3 starts with strategy
% 0.20/0.46  {"max_dseconds":1,"sine":5,"strategy":["negative_pref"],"query_preference":0}
% 0.20/0.46  
% 0.20/0.46  **** run 5 fork 4 starts with strategy
% 0.20/0.46  {"max_dseconds":1,"strategy":["negative_pref","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.47  
% 0.20/0.47  **** run 8 fork 7 starts with strategy
% 0.20/0.47  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.47  
% 0.20/0.47  **** run 6 fork 5 starts with strategy
% 0.20/0.47  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.47  
% 0.20/0.47  fork 1: search finished without proof.
% 0.20/0.48  
% 0.20/0.48  fork 2: search finished without proof.
% 0.20/0.48  
% 0.20/0.48  **** run 7 fork 6 starts with strategy
% 0.20/0.48  {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.48  
% 0.20/0.48  fork 3: search finished without proof.
% 0.20/0.50  
% 0.20/0.50  **** run 11 fork 2 starts with strategy
% 0.20/0.50  {"max_dseconds":1,"strategy":["unit","prohibit_nested_para","prohibit_deep_para","prohibit_unordered_para"],"query_preference":0}
% 0.20/0.50  
% 0.20/0.50  **** run 12 fork 3 starts with strategy
% 0.20/0.50  {"max_dseconds":1,"strategy":["negative_pref","prohibit_nested_para","prohibit_unordered_para","prohibit_deep_para"],"query_preference":0}
% 0.20/0.51  
% 0.20/0.51  **** run 10 fork 1 starts with strategy
% 0.20/0.51  {"max_dseconds":1,"strategy":["hardness_pref","prohibit_unordered_para","prohibit_deep_para"],"query_preference":1}
% 0.20/0.53  
% 0.20/0.53  
% 0.20/0.53  result: proof found
% 0.20/0.53  for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.53  by run 7 fork 6 strategy {"max_dseconds":1,"strategy":["unit","prohibit_unordered_para"],"query_preference":1}
% 0.20/0.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.53  
% 0.20/0.53  % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.53  fof('$inc_modus_ponens_$sk', plain, ((~modus_ponens | (is_a_theorem(X2) | (~is_a_theorem(implies(X1,X2)) | ~is_a_theorem(X1)))) & (modus_ponens | (~is_a_theorem($sk94) & (is_a_theorem(implies($sk93,$sk94)) & is_a_theorem($sk93))))),
% 0.20/0.53    inference(negpush_and_skolemize,[],['$inc_modus_ponens'])).
% 0.20/0.53  fof('$inc_modus_ponens', axiom, (modus_ponens <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(implies(X,Y))) => is_a_theorem(Y)))),
% 0.20/0.53    input). 
% 0.20/0.53  fof('$inc_hilbert_modus_ponens', axiom, modus_ponens,
% 0.20/0.53    input). 
% 0.20/0.53  fof('$inc_modus_ponens_strict_implies_$sk', plain, ((~modus_ponens_strict_implies | (is_a_theorem(X2) | (~is_a_theorem(strict_implies(X1,X2)) | ~is_a_theorem(X1)))) & (modus_ponens_strict_implies | (~is_a_theorem($sk38) & (is_a_theorem(strict_implies($sk37,$sk38)) & is_a_theorem($sk37))))),
% 0.20/0.53    inference(negpush_and_skolemize,[],['$inc_modus_ponens_strict_implies'])).
% 0.20/0.53  fof('$inc_modus_ponens_strict_implies', axiom, (modus_ponens_strict_implies <=> (! [X,Y] : ((is_a_theorem(X) & is_a_theorem(strict_implies(X,Y))) => is_a_theorem(Y)))),
% 0.20/0.53    input). 
% 0.20/0.53  fof('s1_0_modus_ponens_strict_implies_$sk', plain, ~modus_ponens_strict_implies,
% 0.20/0.53    inference(negpush_and_skolemize,[],['s1_0_modus_ponens_strict_implies'])).
% 0.20/0.53  fof('s1_0_modus_ponens_strict_implies', conjecture, modus_ponens_strict_implies,
% 0.20/0.53    input). 
% 0.20/0.53  fof('$inc_axiom_M_$sk', plain, ((~axiom_M | is_a_theorem(implies(necessarily(X1),X1))) & (axiom_M | ~is_a_theorem(implies(necessarily($sk30),$sk30)))),
% 0.20/0.53    inference(negpush_and_skolemize,[],['$inc_axiom_M'])).
% 0.20/0.53  fof('$inc_axiom_M', axiom, (axiom_M <=> (! [X] : is_a_theorem(implies(necessarily(X),X)))),
% 0.20/0.53    input). 
% 0.20/0.53  fof('$inc_km5_axiom_M', axiom, axiom_M,
% 0.20/0.53    input). 
% 0.20/0.53  fof('$inc_necessitation_$sk', plain, ((~necessitation | (is_a_theorem(necessarily(X1)) | ~is_a_theorem(X1))) & (necessitation | (~is_a_theorem(necessarily($sk39)) & is_a_theorem($sk39)))),
% 0.20/0.53    inference(negpush_and_skolemize,[],['$inc_necessitation'])).
% 0.20/0.53  fof('$inc_necessitation', axiom, (necessitation <=> (! [X] : (is_a_theorem(X) => is_a_theorem(necessarily(X))))),
% 0.20/0.53    input). 
% 0.20/0.53  fof('$inc_km5_necessitation', axiom, necessitation,
% 0.20/0.53    input). 
% 0.20/0.53  fof('$inc_op_strict_implies_$sk', plain, ((strict_implies(X2,X1) = necessarily(implies(X2,X1))) | ~op_strict_implies),
% 0.20/0.53    inference(negpush_and_skolemize,[],['$inc_op_strict_implies'])).
% 0.20/0.53  fof('$inc_op_strict_implies', axiom, (op_strict_implies => (! [X,Y] : (strict_implies(X,Y) = necessarily(implies(X,Y))))),
% 0.20/0.53    input). 
% 0.20/0.53  fof('s1_0_op_strict_implies', axiom, op_strict_implies,
% 0.20/0.53    input). 
% 0.20/0.53  cnf('1', plain, (~$pr(modus_ponens) | ~is_a_theorem(implies(X1,X0)) | ~is_a_theorem(X1) | is_a_theorem(X0)),
% 0.20/0.53    inference(cnf_transformation,[],['$inc_modus_ponens_$sk'])).
% 0.20/0.53  cnf('2', plain, ($pr(modus_ponens)),
% 0.20/0.53    inference(cnf_transformation,[],['$inc_hilbert_modus_ponens'])).
% 0.20/0.53  cnf('3', plain, (~is_a_theorem(implies(X,Y)) | ~is_a_theorem(X) | is_a_theorem(Y)),
% 0.20/0.53    inference(simplify,[],['1','2'])).
% 0.20/0.53  cnf('4', plain, ($pr(modus_ponens_strict_implies) | is_a_theorem($sk37)),
% 0.20/0.53    inference(cnf_transformation,[],['$inc_modus_ponens_strict_implies_$sk'])).
% 0.20/0.53  cnf('5', plain, (~$pr(modus_ponens_strict_implies)),
% 0.20/0.53    inference(cnf_transformation,[],['s1_0_modus_ponens_strict_implies_$sk'])).
% 0.20/0.53  cnf('6', plain, (is_a_theorem($sk37)),
% 0.20/0.53    inference(simplify,[],['4','5'])).
% 0.20/0.53  cnf('7', plain, (~is_a_theorem(implies($sk37,X)) | is_a_theorem(X)),
% 0.20/0.53    inference(resolution,[],['3','6'])).
% 0.20/0.53  cnf('8', plain, (~is_a_theorem($sk38) | $pr(modus_ponens_strict_implies)),
% 0.20/0.53    inference(cnf_transformation,[],['$inc_modus_ponens_strict_implies_$sk'])).
% 0.20/0.53  cnf('9', plain, (~is_a_theorem($sk38)),
% 0.20/0.53    inference(simplify,[],['8','5'])).
% 0.20/0.53  cnf('10', plain, (~is_a_theorem(implies($sk37,$sk38))),
% 0.20/0.53    inference(resolution,[],['7','9'])).
% 0.20/0.53  cnf('11', plain, (~$pr(axiom_M) | is_a_theorem(implies(necessarily(X0),X0))),
% 0.20/0.53    inference(cnf_transformation,[],['$inc_axiom_M_$sk'])).
% 0.20/0.53  cnf('12', plain, ($pr(axiom_M)),
% 0.20/0.53    inference(cnf_transformation,[],['$inc_km5_axiom_M'])).
% 0.20/0.53  cnf('13', plain, (is_a_theorem(implies(necessarily(X),X))),
% 0.20/0.53    inference(simplify,[],['11','12'])).
% 0.20/0.53  cnf('14', plain, (~is_a_theorem(necessarily(X)) | is_a_theorem(X)),
% 0.20/0.53    inference(resolution,[],['3','13'])).
% 0.20/0.53  cnf('15', plain, (~is_a_theorem(necessarily(implies($sk37,$sk38)))),
% 0.20/0.53    inference(resolution,[],['10','14'])).
% 0.20/0.53  cnf('16', plain, (~$pr(necessitation) | is_a_theorem(necessarily(X0)) | ~is_a_theorem(X0)),
% 0.20/0.53    inference(cnf_transformation,[],['$inc_necessitation_$sk'])).
% 0.20/0.53  cnf('17', plain, ($pr(necessitation)),
% 0.20/0.53    inference(cnf_transformation,[],['$inc_km5_necessitation'])).
% 0.20/0.53  cnf('18', plain, (is_a_theorem(necessarily(X)) | ~is_a_theorem(X)),
% 0.20/0.53    inference(simplify,[],['16','17'])).
% 0.20/0.53  cnf('19', plain, (is_a_theorem(strict_implies($sk37,$sk38)) | $pr(modus_ponens_strict_implies)),
% 0.20/0.53    inference(cnf_transformation,[],['$inc_modus_ponens_strict_implies_$sk'])).
% 0.20/0.53  cnf('20', plain, (is_a_theorem(strict_implies($sk37,$sk38))),
% 0.20/0.53    inference(simplify,[],['19','5'])).
% 0.20/0.53  cnf('21', plain, (is_a_theorem(necessarily(strict_implies($sk37,$sk38)))),
% 0.20/0.53    inference(resolution,[],['18','20'])).
% 0.20/0.53  cnf('22', plain, (is_a_theorem(strict_implies($sk37,$sk38))),
% 0.20/0.53    inference(resolution,[],['14','21'])).
% 0.20/0.53  cnf('23', plain, (~$pr(op_strict_implies) | strict_implies(X0,X1) = necessarily(implies(X0,X1))),
% 0.20/0.53    inference(cnf_transformation,[],['$inc_op_strict_implies_$sk'])).
% 0.20/0.53  cnf('24', plain, ($pr(op_strict_implies)),
% 0.20/0.53    inference(cnf_transformation,[],['s1_0_op_strict_implies'])).
% 0.20/0.53  cnf('25', plain, (strict_implies(X,Y) = necessarily(implies(X,Y))),
% 0.20/0.53    inference(simplify,[],['23','24'])).
% 0.20/0.53  cnf('26', plain, ($false),
% 0.20/0.53    inference(simplify,[then_simplify],['15','22','25'])).
% 0.20/0.53  
% 0.20/0.53  % SZS output end CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.53  
% 0.20/0.53  run 7 fork 6 statistics:
% 0.20/0.53  ----------------------------------
% 0.20/0.53  this run seconds: 0.021102
% 0.20/0.53  total seconds: 0.043204
% 0.20/0.53  stat_given_used: 223
% 0.20/0.53  stat_given_used_at_endgame: 0
% 0.20/0.53  stat_given_candidates:   324
% 0.20/0.53  stat_given_candidates_at_endgame: 0
% 0.20/0.53  stat_given_candidates_h: 0
% 0.20/0.53  stat_binres_derived_cl:   1563
% 0.20/0.53  stat_binres_derived_cl_h: 0
% 0.20/0.53  stat_factor_derived_cl: 1
% 0.20/0.53  stat_para_derived_cl: 95
% 0.20/0.53  stat_tautologies_discarded: 0
% 0.20/0.53  stat_forward_subsumed: 150
% 0.20/0.53  stat_derived_cut: 29
% 0.20/0.53  stat_derived_rewritten: 1
% 0.20/0.53  stat_weight_discarded_building: 0
% 0.20/0.53  stat_weight_discarded_cl: 0
% 0.20/0.53  stat_internlimit_discarded_cl: 0
% 0.20/0.53  stat_simplified:  29 simplified 0 derived 0 given
% 0.20/0.53  stat_kept_cl: 1503
% 0.20/0.53  stat_built_cl: 1977
% 0.20/0.53  stat_hyperres_partial_cl: 0
% 0.20/0.53  stat_made_rewriters: 3
% 0.20/0.53  stat_backward_subsumed: 0
% 0.20/0.53  stat_propagated_subsumed: 0
% 0.20/0.53  stat_clsubs_attempted:                       628
% 0.20/0.53  stat_clsubs_fact_groundunit_found:             2
% 0.20/0.53  stat_clsubs_rule_groundunit_found:            37
% 0.20/0.53  stat_clsubs_top_meta_attempted:              17907
% 0.20/0.53  stat_clsubs_top_meta_failed:                 17279
% 0.20/0.53  stat_clsubs_top_meta_nonpref_attempted:               17907
% 0.20/0.53  stat_clsubs_top_meta_nonpref_succeeded:                3634
% 0.20/0.53  stat_clsubs_top_meta_pref_attempted:                   3634
% 0.20/0.53  stat_clsubs_top_meta_pref1_succeeded:                  2918
% 0.20/0.53  stat_clsubs_top_meta_pref2_succeeded:                  1152
% 0.20/0.53  stat_clsubs_top_meta_pref3_succeeded:                   628
% 0.20/0.53  stat_clsubs_top_meta_pref_succeeded:                    628
% 0.20/0.53  stat_clsubs_meta_attempted:                  682
% 0.20/0.53  stat_clsubs_meta_failed:                     159
% 0.20/0.53  stat_clsubs_predsymbs_attempted:               0
% 0.20/0.53  stat_clsubs_unit_attempted:                  586
% 0.20/0.53  stat_clsubs_full_attempted:                   42
% 0.20/0.53  stat_forwardsubs_attempted:                 1653
% 0.20/0.53  stat_lit_hash_added:                   2311
% 0.20/0.53  stat_lit_hash_computed:                8114
% 0.20/0.53  stat_lit_hash_match_found:              246
% 0.20/0.53  stat_lit_hash_match_miss:              7601
% 0.20/0.53  stat_lit_hash_cut_ok:                    29
% 0.20/0.53  stat_lit_strong_cut_ok:                   0
% 0.20/0.53  stat_lit_hash_subsume_ok:               150
% 0.20/0.53  clqueue els 10000000 used 1
% 0.20/0.53  clactive els 10000000 used 224
% 0.20/0.53  clactivesubsume els 10000000 used 1051
% 0.20/0.53  queue_termbuf els 200000000 used 89811
% 0.20/0.53  hyper_termbuf els 100000000 used 1
% 0.20/0.53  active_termbuf els 100000000 used 6682
% 0.20/0.53  varstack els 5000 last used 1
% 0.20/0.53  given_termbuf els 10000000 last used 1
% 0.20/0.53  simplified_termbuf els 10000000 last used 1
% 0.20/0.53  derived_termbuf els 10000000 last used 3
% 0.20/0.53  wr_mallocs: 4797
% 0.20/0.53  wr_callocs: 21
% 0.20/0.53  wr_reallocs: 263
% 0.20/0.53  wr_frees: 4
% 0.20/0.53  wr_malloc_bytes: 4162773412
% 0.20/0.53  wr_calloc_bytes: 112065536
% 0.20/0.53  wr_realloc_bytes: 89096
% 0.20/0.53  wr_realloc_freebytes: 0
% 0.20/0.53  ----------------------------------
%------------------------------------------------------------------------------